Evaluate f(x – 1)Vxª – 4x – 2dæ -

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: 2xy// + (x + 1)y/ +3y = 0

A:

Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: A new fast-food firm predicts that the number of franchises for Its products will grow at the rate…

A: We use substitution method to solve these integration

Q: b) following function is defined Determine the point(s) where the g(x, y) =…

A: Given function is: gx,y=-x-34ln4y+6-36x2-36xy-9y2. The function is defined when: gx,y≥0.

Q: Let z = x +3xy+ 2y . Find and

A: Given function is z= x^2 +3xy +2y^2

Q: f (x) = Vx² – 4.

A:

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: Find the domain of each function

A: Given: h(t) = 4-3t To find: The domain of the given function.

Q: Determine a mapping of the form (x, y) (_) from y = f(x) for each of the following. y = 3f(2x)…

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Q: Compute divF and curlF for F = -r°(y – 2)i – (2² + y^)j+()k. 422

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Q: Let f(z) - 4z-1 pnd alz) - ar+b, where a pnd b are positive constants. If the composite

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: dx 3) Evaluate f /1-9x2

A: The special formula for the integartion of a function of the type  1a2-x2 is given by ∫1a2-x2…

Q: Let t(x) = 2x - 1 and m(x) = x² - X. Find m(t(x)) Be sure to simplify your answer. Use the fx button…

A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

Q: -1 t² Vta 6 dt

A:

Q: Evaluate x² + 1 – Vx²2 – 1 dx - Va4 – 1 |

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Q: 3. Check for monotonicity for the following functions. TR = -20² + 14Q %3D TC = 20 + 10 100 AC = Q +…

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Q: Determine the veotor fald of. a, y) - 41 - 2 1.

A: To determine the vector field F .

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: Find f" if X+JJ = |

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Q: Evaluate the function: S 4ry(6+y/2)dy

A: topic - indefinite integral

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Find the second derivate of xy + x – 2y – 1 = 0

A:

Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

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Q: e-X f(x, у) %3D x2 + y2

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Q: Let f(x) = V9 + x. Find f(3V5) ·f(-3V5)

A: Given: fx=9+x

Q: Find xy2 √ R x2 1 x²+1 dA, R= [0,2] x [-4,4]

A: First, we need to identify the limits of integration. The rectangle R is defined by the vertices…

Q: Differentiate the following functions using product rule. 1. f (æ) = (3x – 9) (x – 6) 2. ƒ (x) = (æ³…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx