Determine whether the statement is true or false for all x > 0, y > 0.

Q: Identify the removable discontinuity. x2 – 16 f(x) : X – 4 (x, y) =

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Q: Find for y = x. -

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Q: Use the defintion of a derivitive to solve. f(x)=x2+x

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Q: differentiate the expression with respect to x, assuming that y = f (x). x2y3

A: We need product rule

Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

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Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: Let f(x) = 11 – z², I2 0 (z) =

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Q: Find the local extreme values of ƒ(x, y) = x2y on the line x + y = 3.

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Q: y using sub

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Q: Find ƒx (x, y)  and ƒy( x, y) .

A: Differentiate the function f(x,y)=ln|2x2+y2| with respect to x and keeping y as constant and carry…

Q: 4 Suppose that f(x, y) = x4 + y xy

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Q: y= {(z) -4 -3 -2 -1 3 7

A: We have to find the points

Q: Differentiate the function. y = In|4 – x – 4x²| (-1– &r) In| (4 – x – 4x?)|| y' = — х — 4х*

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Q: Explain why

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Q: Describe the end behavior of f(x) - 2(2 – 2)*(z + 1)°(z – 5)°: As x → – ∞, f(x) → [? ♥ As x → 0,…

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Q: Identify the removable discontinuity. x4 f(x) : + 3x3 X + 3 (х, у) 3

A: To identify the removable discontinuity.

Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

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Q: 1. y=x+5 y= 6

A: A system of linear equations is a set of one or more linear equations. Each linear equation…

Q: Find the absolute max. and mini. Values by Closed interval method F(x)= -1/x2  0.5≤ ? ≤2

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Q: How do I find f(x+h)?

A: We plug x+h in place of x

Q: 3. (x* + 2)(x – 10) = Colve for "X": 2 4. Y= x -

A: Given that

Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: - Determine the value of y when x = 0-1 given that y(0) = 1 and y =?

A: Given that: y(0)=1 and y'=x2+y

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: differentiate the expression with respect to x, assuming that y = f (x). (x2 + y2)3/2

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Q: Find fyzy. 9,8 f(x, y) = x°y³ – 8x*y + x f yry yxY ||

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Q: 3x²y if (x, y) = (0, 0) + y? if (x, y) = (0, 0) f(x, y) = { x +

A: In this question, we have to check the continuity of a function of two variables.

Q: e^3z analytic or not ?

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Q: Express x = 2t + 4, y = 4t + 3 in the form y = f(x).

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Q: Eliminate the arbitrary constants of  y=e^(-3x) (Acos5x - Bsin5x) + Cx Where A, B,  and C are the…

A: It is given that, y=e-3x(Acos5x-Bsin5x)+Cx. Obtain the first derivative as follows:…

Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: find Way if f cu,U) 4 - 2 u = X +y Vニy

A: 4.

Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: let lly) :x"y"-x (H42) y' + (x42)y

A: Given that Ly=x2y'' - xx+2y'+x+2y a) Show that y=x is a solution of Ly b) Solve Ly=x4ex

Q: Find f (x) forf(z) – 1+ 6z.

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Q: For all numbers x, x> 1/x counterexample

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Q: |(-m,-풀) -꿀 | (-풀,0) (0. 풀) (5. ") f(x) f '(x) f "(x) Concavity

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Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =…

Q: R ,,D المناسبة ل لداله الاتية : س / أختار قيمة x-2 f(x) = x+2

A: Root of the function is 2.

Q: af(x,yz) -

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Q: f (x) = x 2 satisfies the Horizontal Line Test on the domain {x : x > O}.

A: Horizontal line test is a test used to find the function is injective that is one-to-one. First…

Q: Let f(x) = 2x2 – x +1 and let g(x) = x – 4. Which statements are true? %3D

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Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

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Q: Find the extreme values of f(x, y) = x² + y² .

A: The given function is f(x,y)=x2+y2. Find the extreme values of f(x,y)=x2+y2 as follows.

Q: differentiate the expression with respect to x, assuming that y = f (x).

A: Consider the formula for quotient rule and then use it to calculate the derivative of the given…

Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Differentiate the function y = (x² + 3) In (x² + 3). y' =O

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Describe the (1) x-intercept, (2) continuity, and (3) find f(x) when x = 3 for y = v-x + 9 – 4 1) 2)…

A: Given: y=-x+9-4