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)

A:

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

A:

Q: What is the second derivative of 5x² (x + 47) A 30x - 470 B. 30x + 470 15x2 +235 15х + 470x C. D

A:

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

A:

Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

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

A:

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

A:

Q: 3) y=(7x² – 2x + 3)

A: Derivative,

Q: бх + 5 -, is 10х + 8 The derivative of y =

A:

Q: A competitive firm's profit is given by T(x,.x2) = 95(4x2 + 6x}")- 4.75x, - 15x2. %3D The stationary…

A: To find stationary point of a function fx,y, we have to find fx and fy. Then we put fx=0 and fy=0.…

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

A:

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: For this function Y=x^3 + 15x^2 -225x prove that we have a point of inflection at x=-5

A:

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: If f(x)=7x-3-4x-2-15x-20 then f'(1) will be; Select one: a. -15 b. 20 c. 28 d. -28

A: We will find first derivative and then substitute x=1 in it

Q: = (F 1-2 f(z) = 3z² + 솔

A:

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

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 ?

A:

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.

A:

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: Determine Duf (3,-10) for F(X, Y, Z) = 4x - y² ³ 2 3x2 of ✓² = (-1₁4, 2) in the direction

A: Given function have to find the directional derivative in the direction of vector .As we know -

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