Find the domain of the function 3x -1 A. f(x)= 1- 2x + 3 sin 2.

Q: Given f''(x) = - 4 sin(2x) and f'(0) = 3 and f(0) - 3. - Find f() T 4

A:

Q: Find a, b, and c for the function f(x) = a sin(bx − c) such that the graph of f matches the figure.

A: Given Graph of y=asin(bx-c)   To find a , b and c

Q: Q1: Find and sketch the domain for each function. 1 2. f(x, y) = In(4-x²-y²) 2. f(x,y) = cos ¹(x −…

A: Given: The functions are:               1. fx,y=1ln4-x2-y2               2. fx,y=cos-1y-x2  To find:…

Q: sin(2x) Compute fonda. x(x²+4)

A:

Q: Find the critical numbers of the function. g(x)%3D8X+sin 8x

A: Given query is to find the critical numbers for the function.

Q: 17. Derive A) f(x) = 10x* –- 32x + e² %3D B) y = e-* sin x

A:

Q: c If f" (x) = 18 cos 3x and f' (0) = f(5) = 1, find f(x).

A: The solution of the problem is given in the next step.

Q: Given that f(x) = sin((7x + 6)4), find f'(x) as a function of z. f'(2) =

A: Given:      fx=sin7x+64   differentiating on both sides       f'x=ddxsin7x+64…

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below

Q: 1. Find the fourth Maclaurin polynomial for f (x)= sin 2x.

A:

Q: Q2:- Find the domain of the following functions tanx a) f(x) = %3D sinx-1

A: Domain is value of x for which given function is defined.

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find.

Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

A:

Q: Ql:- Find the domain of the following functions a) S(x) = sin"*(2 – 3x) b) f(x) = sec"*(x – 2)

A: we have to find domain

Q: Given f''(x) 9 sin(3x) and f'(0) = 0 and f(0): - 2. Find f

A:

Q: Find the residue of the function: f(z)=- sin(z)

A: Given fz=2sin z To find the residue of the function

Q: Determine the domain of the function f(x) = V 3x + 5 sin(5x).

A: to find the domain

Q: Consider the function f(x) = sin(4x). a. Determine f '(x). b. Determine f"(x). c. What is the…

A:

Q: Given a function f(x,y,z) = (x+5) In (4y - 5) sin (10z). Find the domain of the function.

A:

Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

A:

Q: The action of a waterwheel can be modeled by the function y = 3 cos(T (x - 3) + 2). Within the…

A:

Q: findthe domain of the function. f(x)=\sin e^{-x}

A: The domain of a function is the values of the variable that can be input into the function. The…

Q: 11. Determine if the function is even, odd, or neither. a. f(x) = 6x* + 7|x| b. g(x) = 6x* + 7x c.…

A: Given:  a.f(x)=6x4+7xb.g(x)=6x4+7xc.h(x)=6x3+7x

Q: Suppose f(x) =x²sec( 2x³). Evaluate: dx A -In|sec(2r3) + tan(2x³)|+C sec(2r*) tan( 2r) +C B © sec…

A: topic - indefinite integral

Q: 1 3 1. Find the domain of the function f(x) = + sin V – 6x + 8 2

A: Our guidelines for multiple questions , answer only first question Answer =(1)  We have to find the…

Q: 1-Show that the function :defined by the base f(x, y) = x³ 3xy² - harmonic function

A:

Q: Suppose f"(x) = -9 sin(3x) and f'(0) = 2, and f(0) = -1. f(T/3)

A:

Q: The principal part for x→→> 0¯ of f(x) = 2x + sin(x + x4/3) (with respect to p(x) = x) is (A)2x (B)…

A:

Q: Find an inflection point of f (x) = sin (2x-1) +5 that is on the interval [0,2] A. 1 B. 0.5  C.…

A: Use condition of inflection point

Q: If f(x) = tan-'(2x) , then f'(x) = %3| (A) H 1+4x2 2 (B) 1+x2 (C) 구1 2 1+4x2 (D) I-Aa2 V1-4x2 (E)…

A:

Q: 1. Find the domains of the following functions. x2 - 2x 2.x-3 (a). f(x) = (b). f(x) = (c). f(x) = 3…

A:

Q: Consider the function f (x) = 3 sin (x) – 2. Find the exact value(s) of C in the interval [0, T|…

A: We have to find value of c.

Q: The derivative of the function f is defined by f'(x) = x? – 5x + 5 cos (3x? – 3x). If ƒ(-2) = –4,…

A: Given: f'x = gx = x2-5x+5cos3x2-3xf-2 = 4------------------------------Aim: To find absolute maximum…

Q: Identify and sketch the domain of sin-1 (y – 2x) f(x, y) V1- x

A: The given function is: f(x,y)=sin-1y-2x1-x

Q: Suppose f"(x) = -16 sin(4x) andf'(0) = -4, and f(0) = 1. f(T/2) =

A:

Q: 2 The difference between the greatest and least values of the function is 2 2 - f(x) = sin 2x- x on…

A:

Q: Sketch a graph of the function f(æ) = – sin(x). -T/4 T/4 /2 3n/4 5t/4 3n/2 元 7/4 -1

A: Given: A function, fx=-sinx. -sinπ4 -32 -sin0 0 -sinπ2 -1 -sinπ 0 -sin3π2 1 -sin2π 0…

Q: The domain of the function * sin x f –(x) = g x2 – x + 6 -

A:

Q: Find f. f "(x) = 9 + cos x, f(0) = -1, f(7t/2) = 0 f(x) =

A:

Q: Given f''(x) f(0) = - 4 sin(2x) and f'(0) = 3 and 3. - Find f(G) ||

A: We will solve the problem

Q: 2 Sketch a graph of the function f(x) = 2 sin (-) 6+ 4 2 -8 -7T -6A -5T -4T -ŽA -2T 2π 3π 4π5π6ππ.…

A: To graph y=2sin(2x/3)

Q: Express the function in the form f◦g. 2. g(x) =cos2(x).

A: We need to show function as f∘g(x)

Q: If f(x) = 4 sin '(2), f'(x) =

A: The given function is f(x)=4sin-1x5  .................................... (1)

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 十4 -1 -2

A: Given query is to find the graph for the sine function.

Q: find for f(x) =|x| . [-x , a] - IT - .a 0.b0 T.cO 2n.dO

A: We have to solve given problem:

Q: The range of the function f(x)=2- sin 1x is: O a. [-1,3] O b. [-2,2] Oc. [-3,2] O d. [1,3] O e.…

A: We need to find the range of the function f(x).   Range of Sine inverse x is (-pi/2 to pi/2).

Q: f) y = sin-¹ (x² - 1)

A: The given function is y=sin-1x2-1. The derivative of the function sin-1x is 11-x2. The power rule of…

Q: The domain of the function f(x)=sinh-1(Inx)

A: To find the domain of the function

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.