51 A product of several terms equals zero When a product of two or more terms equals zero, then at least one of the terms must be zero We shall now solve each term = 0 separately In other words, we are going to solve as many equations as there are terms in the product Any solution of term = 0 solves product = 0 as wellDkf (x, Y, Z) = Fz (x, Y, Z) Determine Whether The Statement Is True Or False If F (x, Y) → L As (x, Y) → (a, B) Along Every Straight Line Through (a, B), Then Lim (x, Y) → (a, B) F (x, Y) = L Determine Whether The Statement Is True Or False Fxy = ∂2f/∂x ∂yNow let's increase x by saying that x is going to be 2 If y varied directly as x then because we increased x, y should also increase But when we substitute 2 for x, the equation becomes y = 2/x = 2/2 = 1 Notice that when x went from 1 to 2, the value of y went down from 2 to 1
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(x y)^2=x^2 y^2 true or false-They are inconsistent and do not have a simultaneous equation They are represented by parallel lines True Just add the two equations together 00=6 0 does not equal 6 so there is no solutionEvaluate the polynomial x 2 y 3 3x 2 y – 4xy 2 3 for x = 1 and y = 2 > 5 True False 2 Find (3 x 3 4 x 2 – 2 x – 3) (3 x 3 2 x 2 3 x – 9) > 6 x 2 – 5 x – 12 True False
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Apr 16, 08 · 13 Answers Relevance rgurl16 1 decade ago Favorite Answer (xy)^2 = x^2 y^2 using the FOIL method on the left hand side of the equation (FOIL whenever you are squaring like on the left side you multiply it by itself (xy) (xy) and you first multiply the First terms together (x time x), then the Outside terms (x times y), then theLet x=1 y=2 (12)^2=1^22^2Nov 12, 15 · This is the equation of a circle of radius 4 with centre (0, 0) If you attempt to define y in terms of x you get multiple values for x in (4, 4) Starting with x^2y^2=16, subtract x^2 from both sides to get y^2 = 16x^2 Then taking square roots of both sides y = sqrt(16x^2) = sqrt(4^2x^2) Now sqrt(4^2x^2) only takes Real values when 4^2x^2 >= 0, that is when 4
Chapter 5 True Or False and Multiple Choice Problems Answer the following questions For each of the following ten statements answer TRUE or FALSE as appropriate is continuous at x = 0x = 0 If f ′ (x) < 0 and f " (x) > 0 for all x then f is concave down The general antiderivative of f(x) = 3x2 is F(x) = x3 lnx exists for any x > 116 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 x2y2 = 16;z= 0So we can write x= 4cost;y= 4sint;0 t 2ˇFrom the equation of the plane, we have z= 5 x= 5 4cost;soCS 506, Spring 13, Exam 1 (Solution) 3 Use proof by contradiction or contrapositive proof, as appropriate, for each of the following (a) Prove that if n2 is not divisible by 9, then n is not divisible by 3 Assume domain of n
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 fCalculus Study Guide for Stewart's Multivariable Calculus, 8th True or False For f ( x , y ) = x 2 ( x y ), x and y are independent variables more_vert True or False For f ( x , y ) = x 2 ( x y ), x and y are independent variables Buy Find launch Study Guide for Stewart's MultivarSolve by Substitution xy=1 , x^2xyy^2=29, Add to both sides of the equation Substitute for into then solve for Tap for more steps Replace with in the The final solution is all the values that make true The solution to the system is the complete set of ordered pairs that are valid solutions The result can be shown in multiple
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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 matter what value is plugged in for the original variable True or False when solving an equation, if you end up with something like 3 = 3, the answer is "all numbers are a solution"Tangent line is perpendicular to the line 2x−y 2 = 0 First, recall that two slopes are perpendicular if they are negative reciprocals (like −3, 1 3) The slope of the given line is 2, so we want a slope of −1 2 The x that will provide this slope is found by differentiating y0 = 2(x−2) ⇒ 2(x−2) = − 1 2 ⇒ x = 7 4 from whichTrue/False Algebra Questions With Answers Sample 4 Answer by true or false the following algebra questions answers provided Also included are the solutions with full explanations (True or False) x 2 and 2x are like terms (True or False) x 3 and 3x are unlike terms (True or False) 1 / (x 9) = 0 for x = 9
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Solved 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(6) The expression x(y·z) makes sense if x,y and z are vectors and y·z is a dot product false Reason y·z is a scalar and cannot be added to the vector x (7) The vector (2,2,−1) is a solution to the following system of equations x1 3x2 x3 = 7 2x1 x2 x3 = 1 false Though (2,2,−1) satisfies the first equation, it does not statisfyNo This statement is only true if it has been determined that x and y are both greater than or equal to 0, or if both are less than or equal to 0 For example if x^2 = 9 and y^2 = 9, if the information above is true, x = y = 3 or 3 Without that information (which is what the original question says), x might equal 3 while y might equal 3
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Question Give a counterexample to show that (xy)2 = x2 y2 is false Found 2 solutions by richwmiller, MathLover1 Answer by richwmiller () ( Show Source ) You can put this solution on YOUR website!When Python is processing a logical expression such as x >= 2 and (x/y) > 2, it evaluates the expression from left to rightBecause of the definition of and, if x is less than 2, the expression x >= 2 is False and so the whole expression is False regardless of whether (x/y) > 2 evaluates to True or False When Python detects that there is nothing to be gained by evaluating the rest of a(g) 8x9y(xy = 1) Truebecause for anyx, we can choosey = 1 x, and then xy = x1 x = 1 (h) 9x9y(x 2y = 2^ 2x4y = 5) False because this system has no solutions multiplying the rst equation by 2 gives 2x4y = 4, and subtracting this from the second equation gives 0 = 1 Therefore the system is inconsistent (i) 8x9y(xy = 2^2x y = 1) False
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This is false since if x = 0, there is no y 2R such that y2 < 0 In quanti er notation, the negation becomes (9x)(8y)(y2 x) 2 (9x)(8y)(y2 > x) There is an x such that y2 > x for all y This is true, and x = 1 serves as an example choice for x The negation would be (8x)(9y)(y2 x) 3 (8x)(9y)(jx yj2Z) For every x there is a y such that jxThe circle (x − 1)2 (y 2)2 = 16 intersects the y−axis svcceeee svcceeee Mathematics High School Determine whether the statement is true or false The circle (x − 1)2 (y 2)2 = 16 intersects the y−axis See answer svcceeee is waiting for your help Add your answer and earn pointsMATH 114 MIDTERM 2 SOLUTIONS CLAY SHONKWILER True/False (1) f y(a,b) = lim y→b f(a,y)−f(a,b) y−b Answer True This is essentially the definition of f y, the partial derivative of f with respect to y
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Aug 19, 10 · x^2 y^2 = 3 and y^2 x^2 = 3 Second equation gives x^2 y^2 = 3;Domain R (all real numbers) 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)See Page 1 (x) x < 2 Statement (xi)2 = = Statement, False (xii) x y = y x Statement, True Strictly speaking, as we don't know what x and y are in parts (x) and (xii), these should not be statements In Mathematics, x and y usually represent real
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Circle ONE answer for each Hint For e ective study, explain why if 'true' and give a Find the absolute maximum and minimum values of f(x;y) = e x2 y2(x2 2y2) on Dwhere Dis the disk x 2 y 4 27 Use Lagrange multipliers to nd the maximum and minimum values of f(x;y) = 1 x 1 y subject to the constraint 1 x2 1 y2In Examples 8 to 10, state whether the statements are True or False Example 8 An expression with two terms is called a binomial Solution True Example 9 Every polynomial is a monomial = 2 (x y) = 2 x 2 y Example 12 Identify the term containing u2 in the expression u3 3u2v 3uv 2 v3 and write its coefficient Solution TermCalculus Study Guide for Stewart's Multivariable Calculus, 8th True or False F ( x , y ) = 2 y i 2 x j is conservative more_vert True or False F ( x , y ) = 2 y i 2 x j is conservative Buy Find launch Study Guide for Stewart's Multivar 8th Edition Stewart 1 other Publisher Brooks Cole
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Only 1Day Left to Win a PS5 in our Study and Meet Discord Server> Are the following statements true or false 1 mathx\in\{x\}/math True 2 math\{x\}\subseteq\{x\}/math True 3 math\{x\}\in\{x\}/math False 4 math\{x1st order nonlinear ODE check third homogeneous (y/x ratio and u=y/x) 1st order nonlinear ODE check fourth
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Solved Answer true or false and justify your answer The linear system x y = 2 x y = 5 has a unique solution By signing up, you'll getState whether the following statements are True or False (i) If x, y, z are all different real numbers, then (ii) There exist natural numbers, m & n such that m 2 = n 2 1002 (iii) If x – 1 is a factor of 4x 3 3x 2 – 4x k, then the value of k is 3 AGiven that the domain does not have 2 corresponding yvalues But going back, based on the equation, the ysquared denotes two y values for every x value, which defies the definition of a function So the answer is FALSE
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To find the xintercept (s), substitute in 0 0 for y y and solve for x x 0 = 2 x − 3 0 = 2 x 3 Solve the equation Tap for more steps Rewrite the equation as 2 x − 3 = 0 2 x 3 = 0 2 x − 3 = 0 2 x 3 = 0 Add 3 3 to both sides of the equation 2 x = 3 2 x = 3 Divide each term by 2 2 and simplifyClick here👆to get an answer to your question ️ State True or False 2x^2 y^2 8z^2 2√(2)xy 4√(2)yz 8zx = ( √(2)x y 2√(2)z)( √(2)x y 2√(2)z)True or False If f_{x}(x, y)=\frac{y^{2}}{1x} and f_{y}(x, y)=2 y \ln (1x), then f is differentiable at (0,2) Hurry!
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False Stepbystep explanation We simplify the right hand side of the expression to check if its equal to the left hand side of the expression or not Use the formulas sin (x y) = sinxcosy cosxsiny cos (xy)= cosxcosy sinxsiny Thus, the expression will become We cannot simplify this expression furtherThis 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 For noncommutative operators under some algebraicStack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange
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Question True Or False The Production Function F(x,y)=x^(2/3)y^(2/3) Has Increasing Returns To ScaleClick here👆to get an answer to your question ️ State true or false x^2 & x^2 ( y z ) ^2 & yz y^2 & y^2 ( z x ) ^2 & zx z^2 & z^2 ( x y ) ^2 & xy = ( x y ) ( y z ) ( z x ) ( x y z ) ( x^2 y^2
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