State true or false x = y 2 represent a line passes t State true or false x = y 2 represent a line passes through origin Please scroll down to see the correct answer and solution guide Right Answer is SOLUTION False ( on putting x = 0 , y = o we PreCalc True or False •Every equation of the form X^2y^2axbyc=c •The radius of the circle x^2y^2=9 is 3 •The center of the circle (X3)^2 (y2)^2=13 is (3,2) 👍Why some people say it's true It's an example of the distributive property which works since exponents are just repeated multiplication So, just like 5 ( a b) = 5 a 5 b, a 2 b 2 = a 2 b 2 = a b 5 (ab) = 5a 5b, \sqrt {a^2 b^2} = \sqrt {a^2}
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(x y)^2=x^2 y^2 true or false-X^2 2x 1 = (x 1)^2 True False Is the following statement True or False?Exam 2 Sample SOLUTIONS 1 True or False, and explain (a) There exists a function fwith continuous second partial derivatives such that f x(x;y) = x y2 f y= x y2 SOLUTION False If the function has continuous second partial derivatives, then Clairaut's Theorem would apply (and f xy= f yx) However, in this case
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11 Logical Operations 11 Logical Operations Mathematics typically involves combining true (or hypothetically true) statements in various ways to produce (or prove) new true statements We begin by clarifying some of these fundamental ideas By a sentence we mean a statement that has a definite truth value , true (T) or false (F)—for example,2(x 4) = (y 2) 2> ½ True False 10 How far is the directrix from the vertex for this parabola?40 The function f(x,y) = x2 y2 has a global minimum on the region x2 y2 < 1 41 The function f(x,y) = x2 y2 has a global maximum on the region x2 y2 < 1 42 If P and Q are two distinct points in 2space and f has a global maximum at P, then f cannot have a global maximum at Q 43 The function f(x,y) = sin(1 exy) must have a global
∀x∃yP(x, y) → ∃x∀yP(x, y) evaluates as false 1) ∀x∃y For every x there exists a y 2) ∃y∀x There exists a y (such that) for every x Consider this example 1) Everyone is married to someone (ie For every person there exists a person to whom he/she is married) True 2) Someone is married to everyone (ieAlgebra questions and answers Select True or False (2x y)^2 = 4x^2 3xy y^2 True False Is the following statement True or False? The correct option is (a) True To explain The stress strain curve of some elastic tissues of our bodies look similar to the curve represented by equation y = x^2 For eg, the elastic tissue of aorta has a curve like
(a) X and Y are independent random variables X is uniformly distributed on the interval −2, 2, while Y is uniformly distributed on the interval −1, 5 If Z = X Y , then fZ(3) = 1/6 True Since Z = X Y and X,Y are independent, the PDF of Z (fZ(z)) can be obtained byAnswer and Explanation 1 It is false that the square root of x2 y2 is equivalent to x y To show that this is the case, we simply need to find one example that makes this statement falseQuestion 3640 true or false if x is positive and y = x, then x^2y>0 )true or false If x is positive and y = x, then x is positive ) true or false If x and y are both integers, then /xy/=/x//y/ Answer by robertb(5798) (Show Source) You can put this solution on YOUR website!
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True or False (2 pts each) Note that True means always true, and False means sometimes or always false n represents a nonnegative integer and all an and bn are real numbers 1 True or False Z 1 11 1 x3 dx = x2 2 = 0 A True B False 2 True or False Z(1) 8x8yP(x;y) may be read \For every positive integer xand for every real number y, xy= 1 This proposition is false (2) 8x9yP(x;y) may be read \For every positive integer xthere is a real number ysuch that xy= 1 This proposition is true (3) 9y8xP(x;y) may be read \There exists a real number ysuch that, for every positive integer x, xy= 16xy^2 is the greatest common factor of 12xy^2, 36x^2 y^2, and 42xy^4 True False Factor Completely 45a^3 d 75a^2 d^2 30ad^3 (15a
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This is clearly false x = 2 ;y = 3 so the negation is true8 x;y x y = y x 9 x;y x y 6= y x Negation Just as we can use negation with propositions, we can use them with quanti ed expressions Lemma Let P (x) be a predicate Then the following hold8 xP (x) 9 x P (x)INCORRECT Here is a parse tree for the string at the top of the tree except with blanks You have to fill in the blank for E When you type in a string use the following for the logic symbols (minus sign) for ¬ & (ampersand) for ∧ v (lower case letter v) for ∨> (minus sign followed by greaterthan sign) for → (lessthan sign followed by minus sign followed by greaterthan sign) for(30) 2 True or False a xyz=xyz b x xy x=X c x xy=y xy dxy=((x x)(yy))/((x x) (yy)) e xly=xty fxTy=xly g The operators complement and boolean product are functionally complete h The operators boolean sum and boolean product are functionally complete i A set with only one operator can never be functionally complete j
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True or False To find the yintercepts of the graph of an equation, let x=0 and solve for y False True or False If a graph is symmetric with respect to the xaxis, then it cannot be symmetric with respect to the yaxis y=02 x2 y2 (d) III z= ey 17 Find a vector function that represents the curve of intersection of the cylinder x2 y2 = 16 and the plane x z= 5 Solution The projection of the curve Cof intersection onto the xy plane is the circle x2 y2 = 16;z= 0So we can write x= 4cost;y= 4sint;0 t 2ˇFrom the equation of the plane, we haveX = 1, which gives y0 = 2 The slope of the tangent line is therefore y −1 = 2(x−1) (f) If y = e2, then y0 = 2e False e2 is a constant, so the derivative is zero (g) If y = axb, then dy da = x True dy da means that we treat a as an independent variable, and x,b as constants 2 Find the equation of the tangent line to x3 y 3= 3xy at the point (2, 3 2)
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P(f(g(x,y)),g(x,y)) and q(x,f(x))" 2 5 Translations of English Sentences into FOL The length of one side of a triangle is less than the sum of the lengths of the other two sides ∀x,y,z triangle(x,y,z) → length(x) < length(y)length(z) Fermat's Last Theorem ∀n integer(n) ∧ n > 2 → ∀x,y,z integer(x) ∧ integer(y) ∧ integer(z)Algebra > Linearequations> SOLUTION Is the statement true or false?How far is the focus from the vertex for this parabola?
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X 2 y < 2xy x2 y2 2xy < 0 (x y)2 < 0 However, the square of a number can never be negative so this is a contradiction Therefore the original statement is true (c) Zero is an even number Proof To prove this, we assume that zero is not an even number As zero is an integer, and every integer is either even or odd, we are assuming that zeroTrue If the graph given represents the linear equation xy=0, The points on the graph should satisfy the equation Point (4,4) Substituting coordinates of point in the equation, we get −44 =0 LHS=RHS Point (2,2) Substituting coordinates of point in the equation, we getClick here👆to get an answer to your question ️ State True or False x^3 y^3 = (x y)(x^2 xy y^2)
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Answer (1 of 37) This is the kind of problem that algebra exists to answer x^2 = y^2 x^2 y^2 = 0 (xy)(xy) = 0 xy = 0 \text{ or } xy = 0 x = y \text{ or } x = y So no For instance, (1)^2 = 1^2 But if you can guarantee that x and y aren't allowed to be negative (or that they both8 Prove the following statements (1) logp b x = 2log x (2) log p1 b p x = log x (3) log 4 x2 = log p x 9 Given that log2 = x, log3 = y and log7 = z, express the following expressions241 47 ' ( x,y) 2R ‚ 2 ¡1 ¡3 ¡2 ¡1 1 2 3 ¡3 ¡2 ¡1 1 2 3 49 {(x,x¯ y) x2R,y2Z} ¡3 ¡2 1 1 2 3 ¡3 ¡2 ¡1 1 2 3 51 {( x, y )2R2 ( ¡ )( ¯ ˘0} ¡3
If X Y In R Satisfy The Equation X 2 Y 2 4x 2y 5 0 Then The Value Of The Expression Sqrtx Sqrty 2 4sqrt Xy X Sqrt Xy Is
Solved 10 Points Use Cramer Rule To Find The Solution To Each Of The Following System Of Equations X Y 3z 5 2x Y 4z 8 X Y Z X 3 Y 2 2 0 Cx 3 Y 2 Z
(x,y)→(0,0) y=x 2x2 −y2 x2 2y2 = 2−1 12 = 1 3, whereas when k = 0, we get lim (x,y)→(0,0) y=0 2x2 −y2 x2 2y2 = 2−0 10 = 2 Since we get different limits along different paths, the limit does not exist (2) The radius of a right circular cylinder is increasing at the rate of 2 cm/sec and the height is decreasing at the rate ofView Task 2 from MATH MISC at San Diego Mesa College Scenario Four people are working on a project The people are numbered 1, 2, 3, and 4 The predicate C(x,y) indicates whether x;z) r 2;0 2ˇgThis is a solid cylinder of radius 2 b spherical coordinates Solution In spherical coordinates we have x 2y z2 = ˆ2 and z= ˆcos˚Therefore, x2y2 =
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@ 2f @y@x = 1 @f @x@y = 2x These functions are continuous and unequal, but by Clairaut's Theorem, if a function has continuous second partial derivatives then its mixed second partials must be equal) 2 TRUE or FALSE There is a function f R2!R such that @f @x = x and @f @y = y2 Solution TRUE (An example is f(x;y) = x2 2 y3 3 8The ycoordinate of the vertex of f(x)=x^26x7 is f(3) f=b/2a F(x)= ax^2bxc 6/2(1) 6/2 =3 F(3)=3x^26(3)7 Thank you Log OnThis is always true with real numbers, but not always for imaginary numbers We have ( x y) 2 = ( x y) ( x y) = x y x y = x x y y = x 2 × y 2 (xy)^2= (xy) (xy)=x {\color {#D61F06} {yx}} y=x {\color {#D61F06} {xy}}y=x^2 \times y^2\ _\square (xy)2 = (xy)(xy) = xyxy = xxyy = x2 ×y2
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LOGICAL Operators and Expressions Fortran has five LOGICAL operators that can only be used with expressions whose results are logical values (ie, TRUE or FALSEAll LOGICAL operators have priorities lower than arithmetic and relational operators Therefore, if an expression involving arithmetic, relational and logical operators, the arithmetic operators are evaluated first, followedIn cylindrical coordinates we have x 2 y = r 2;hence the inequality x y2 4 becomes r2 4 or r 2 and 0 2ˇThat is, f(r;F~(x,y,z) = (xtan−1(y2), −y sec(xz), z2) Note that S is not a closed surface Nevertheless, there is a better way to do the problem than brute force SOLUTION Sometimes we can apply Gauss's Theorem (the Divergence Theorem) to compute the surface integral over a surface that is
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1 True or False (1) If y 1 and y 2 are two solutions to the inhomogeneous equation ay00 by0 cy = f(x), then their di erence y 1 0y 2 is a solution of the homogeneous equation ay00 by cy = 0 True Plug in y 1 00y 2 to the given equation You get a(y 1 y 2) b(y 1 y 2)0 c(y 1 y 2) = ay00 1 by0 1 cy ay00 2 by0 2 cy 2= f(x) f(x) = 0, so1 ∀x∃yx is married to y 2 ∃y∀xx is married to y I'm doubtful about the answer to this example Also, some explanation about ordering of ∃ and ∀ operators would be appreciated logic discretemathematics Share Improve this question8(y – 3) = x 2> 1 True False 11
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A) ∀x∃y(x^2 = y) = True (for any x^2 there is a y that exists) b) ∀x∃y(x = y^2) = False (x is negative no real number can be negative^2 c) ∃x∀y(xy=0) = True (x = 0 all y will create product of 0)State, true or false the line x/ yy/3=0 passes through the point (2, 3) CISCE ICSE Class 10 Question Papers 301 Textbook Solutions Important Solutions 2872 Question Bank Solutions Concept Notes & Videos 524 Time Tables 15 Syllabus Advertisement Remove all adsTrue or False Z 6 1 Z 9 5 f(x)g(y) dx dy = Z 9 5 Choose the best order and evaluate the integral ZZ R 4x3ex2y dA, where 0 < x 2 and 0 y 1 249 §161 DOUBLE INTEGRALS Example Use symmetry to evaluate the integrals (a) Z 3 3 Z 5 0 ysin(x2 y2)sin(xy) dx dy (b) Z 4 0 Z 4 0 (x y)cos(x y) dx dy 250 §161 DOUBLE INTEGRALS
Solve The Following System Of Equations 27 X Y 15 X Y 2 And 30 X Y 1 X Y 3 Mathematics Topperlearning Com X68shsoo
1 Consider The Curve Defined By X2 Xy Y2 27 A Write An
So, truth value = FALSE for any nonzero x, the assignment y = 1/x has the property that is xy = x(1/x) = 1 So truth value = TRUE This is false If it were true, then there would be an x for which the proposition is true for y = 2 and 3 simultaneously, ie, 2x = 1 Nope So, try to find a value for x which makes it true, or show that there is none at all I need help on how to solve these types of problems with the variables If you could, please help me 5x=6x9 then subtract 6x to get 1x=9 divide by 1 to get x=9 this make the equation true Therefore it is openAnswer to True or False x^2 = 1/x^(2) By signing up, you'll get thousands of stepbystep solutions to your homework questions You can also ask
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Since 22 2 2= 8 6= 3 = 9 , Q (2;2;3) is false There are in nitely many values for (x;y;z ) that make this propositional function truehow many right triangles areTrue or False 3xy x = 2 is a linear equation False the Distributive Property on 4x(x 2) will yield a nonlinear term (x squared) True or False y = 4x(x 2) 1 is linear when graphed True since 3 is always equal to 3, this will be true no matterYou choose (this y cannot depend on x, it should be any value y) P(x,y) is true Example ∃x∀y,x y = 0 This is not true, because you can always find some y that makes it false However, the proposition ∃x∀y(y 6= 0) , x y = 0 is true 8 additive inverse of x is −x (so that adding them up you get 0) 9 multiplicative inverse of x is 1 x
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