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

Q: Differentiate the function. y = (cos(6x))* y'(x) =

A: Function given is - y=cos6xx Taking logarithm both the sides we get- logy=(log6x)x =xlog6x…

Q: f(x)=sin(x) is of order 1.

A:

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 1/4 3/8

A: We have given  ∫x sinx cosx =fx sin2x-gx cos2x+C Let,  I=∫x sinx cosx dx I=∫x sin2x2dx I=12∫x sin2x…

Q: Find and sketch the domain of f(x, y) = √√1 − (x + 1)² − y² + 2 ln (x − y + 1).

A:

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4

A:

Q: (b) Let f(x) = sin (cos-1 (sin(cos-vx))).B f'(1) = using chain rule, show that %3D

A:

Q: Pr. #14) Find and sketch the domain of the function in R2. In [sin- ()] (x, y) x2+y² %3D -

A: This is the problem of multi-variable functions.

Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd .

Q: Find f'(÷) for f(x) = 2 sin z cos x

A:

Q: Find f. f"(0) = sin(0) + cos(0), f(0) = 4, f'(0) = 1 f(0) =

A:

Q: 1 Find f"(x) for the function f(x) %3D (2+sin x)=

A:

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

A:

Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find an antiderivative F(x) of the function f(x) 10 sin x such that F(0) 1. 17+ cosx

A:

Q: b) f(x) = cosx on the interval [0,] %3D

A:

Q: .Is f (x) = x sinx a periodic function ? %3D

A:

Q: Assume that f(x) is a differentiable and invertible function so that f(3) = 4 and f'(3) = .…

A:

Q: Find the linearization L(x) of f (x) = tan x at a =

A:

Q: Find f(x), where f'(x) = sin(x) + cos(x) + 1 and f(#)=2. %3D %3D

A: Using anti derivative formula.

Q: (a) Differentiate f(x) = Vx+4 by using the first principle. (b) Differentiate the following…

A:

Q: Prove that the inflection points of y = cos x are at the x-intercepts.

A: Inflection point

Q: Find f'(x) where f(x) = -5x2-2 cos (r). %3D

A: The given function is fx=-5x2-2cosx.

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: a) f(x) = 1+ Sinx for all x e R

A: According to the question, we need to plot the graph of the function: f(x) = 1+sin x The graph of…

Q: The function f : R → R defined by f(x) = cos(x - ) is %3D

A:

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

A: to find the domain

Q: GIVEN: f:0,2x]- -R, f(1) = sinz+ cos I %3D Find f (x) in factored form.

A: Differentiate the function fx with respect to x.

Q: 4. Find the analytic function whose real part is u(x, y) = e* cos y.

A:

Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

Q: Find f. f "(0) sin(0) cos(0), f(0) 2, f '(0) 3 = f(0)

A:

Q: 4. Find and sketch the domain. f(x, y) = sin='(y - x)

A: fx,y=sin-1y-x

Q: Find f f(0) = 2, f '(0) = 1 f "(0) sin 0 + cos 0, f(0)

A: Given that

Q: Apply the first part of the fundamental theorem to determine the value of F'(x) if: e) F (x) = S…

A:

Q: Differentiate the function y = sin1 a 1 y' = Va-x y': a y' =1/x 1 y' Ta- x2 y' =1/a

A:

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

A:

Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: b) Differentiate the function y= sinx-xcos.rwith respect to x.

A: Given: y=sinx-x cosx

Q: Find a point zo where the function f (2) = (z – 8 – 10i) (z– 8 – 10i)differentiable. What is the…

A:

Q: Sketch the graphs of y= f(x) and y=- given that: f(x) f(x)=4x² –1 - a b f(x)=sin(x)+1 given 0<x<2n“

A: Given function is   a. f(x)=4x2-1   b. f(x)=sinx+1 , [0,2π]

Q: sin TZ Let f (2) = Find the residue of f (z)at z = 3 (z – 3)?

A:

Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

A:

Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = %3D L(x) = %3D

A:

Q: Verify whether the function u=e^(x^2-y^2 ) cos⁡2xy is harmonic or not.

A: A function u=fx,y is said to be harmonic if ∂2u∂x2+∂2u∂y2=0 Now, we have u=ex2-y2cos2xy We will use…

Q: Evaluate f(x) dx, where 8x', ={ 7 sin(x), 0<x< a. -T < x < 0 f(x) :

A:

Q: Find f. f "(8) = sin(0) + cos(0), f(0) = 2, f '(0) = 4 f(0) =

A:

Q: Integrate the function f (z) = (z - 8i)² from z = 0 to z = 4 + 4i along the line x = y.

A:

Q: Find the maximum and minimum values of the function g(0) = 30 – 5 sin(0) on the interval (0, 7 -

A: