Find f' and f" for the function. f(t) 92²2²-7 t f'(t) F"(t) = 18t + 7 انا 2 14 18+ + X X

Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

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Q: Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

A: W(x,y) = 4x2 + y2Find W(3,-1)

Q: y=8x-x³ 12) Where is the function concave down?

A:

Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

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Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: (fof-¹)(x) = 26² 3x 2 -44x+1 2 3(3x² + 4x +) 2 )-1 44

A:

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

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Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: Let f(x, Evaluate f(3, 4) y)=√150 - 4x² - 2y²

A: fx, y=150-4x2-2y2

Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

A:

Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: = (F 1-2 f(z) = 3z² + 솔

A:

Q: fl-8)== y= 3/x at point (-8;2) %3D m =

A: We are given the function f(x)=x3. Here,               f(-8)=-83=-2. Now, we need to find Slope of…

Q: s the function y = 3(x-4)^2 + 1 symmetrical with respect to the y-axis ? Why ?

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Q: Given the function X- 二メ (x+2)(x-) with (x+2)³ (X -1)³ Find any X and Y intercepts 3 8.

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Q: Let f(x) = f(-1) = = f(-5) = f(-6) = 8x - 2, -x², X ≤ -5 X > -5' Find f(-1), f(-5), and f(-6).

A: Solve the given function

Q: Choose the point that corresponds to t=-1 when x=t^2-4 and y=t+1/t (-3, 0) (-3, -2) (3, 2) (-5,…

A: Given,x=t2-4andy=t+1tat t=-1x=-12-4x=1-4x=-3andy=-1+1-1y=-1-1y=-2