19 Suppose that Ts (x) centered at 2 for f(x) is gien by. Is (X=3+5Cx-2)+8(x-2)²+2G-2)°+(x-2) (3) Than, t(2) = and f cw (2)= 理f0(2) %3D

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

A:

Q: Given the image below, how do I find the work done by F along C?

A: Definition of work:

Q: 8 f ( x) d( x) =20, f (x) d(x) = – 6, ƒ ind | f(x) dx 2 4 |

A: Find your answer below

Q: If z = f(x) + yg(x), what can you say about zy? Explain!

A: Answer is 0

Q: = + (-x² + xy 7) =

A:

Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

A:

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

A:

Q: 5. If f(x) = (x + 1)(x² – 2)³ then f'(x) А. бx (x? — 2)? В. бx (х + 1)(х2 - 2)2 C. 3(x + 1)(x² – 2)²…

A:

Q: Suppose R(x) = f(x)/3 − 5x2. Find R′(−1).

A: Derivative: - The function's spinoff is that the equation we have a tendency to discover. The…

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Q2) Find f(99)(x) of the functions: (a) f(x) = Sin(x) (b) f(x) = v2x – 1 %3D %3D x+ (c) f(x) = -1…

A:

Q: f (x) = { ₂x² (²/²) ² 2=1 Coso f(z) dz= ? 23

A: We have to calculate

Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ? 3x²y = x+y 3x²y = 2x-y…

A: Given the differential equation: x2dy+yx+ydx=0 with y1=1 To find out which function satisfies the…

Q: Let f(x) = x – 5, g(x) = /x , h(x) = x°, and j(x) = 3x. Express each of the functions given below as…

A: The solution of above question is written in below steps.

Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: Suppose f(-4)= -7 and f'(-4)= 7. Find t d (7x² + 10x + 3) f(x) at x = -4 is dx d f(x) dx 7x² + 10x…

A:

Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The equation of the tangent line for the function f(x) = -3 – 6x at r = 6 is %3D

A: The given function is, fx=-3-6x We need to find the equation of the tangent line to the function at…

Q: What is T₂(x) centered at a = 3 for a function f(x) such that f(3) = 9, f '(3) = 8, f "(3) = 4, and…

A:

Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: Given g(x) = In(7x+x), the derivative g (x) is

A: Given,           gx=ln7x2+x

Q: Find f (x). f(x) = 2 In (1 + 7x?) f(x) = %3D

A: f(x)=2ln(1+x2 ) Differentiating w.r.t x both sides, we have f'(x)=2ddx (ln(1+x2))…

Q: Find g'(3) given that f(3) = -2 and f'(3) = 4. a. g(x) = 3x² – 5ƒ(x) 2x + 1 b. g(x) f(x) . . e

A: Solution is done in steps

Q: Suppose that f(x,y)= [15x²y ; 0<x<y<1 0; otherwise.

A:

Q: Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions…

A: Given that, z=3x2+y2+3xy-7x-8y+10 Subject to  x-y≤200 2x+y-150≤250

Q: Let y=y(x)=2(√x)⋅f(x) and suppose f(4)=2, f′(4)=-2, find y'(4)

A:

Q: A. (4,00) Suppose f(x)=√4x and g(x)=3x² + 3x-2. Then the domain of f(g(x)) is B. [-4,0) U (0.) C.…

A: As per guideline i can solve only first question

Q: f, (3,5) and fy (3,)us(«, y) = |and f, (3,) if f (x, y) = (b) Find x² sin(y) – Ax-3 10 CLO-2 Where A…

A: The given function is  f(x, y) = x2. siny - Ax-3

Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

A: