7. Which of the following values is in the domain of f(x) = sin 1 x? V5 O V2 3.

Q: For which x value(s) is the function f(x)=sin'(2x) defined and not differentiable? Check all that…

A:

Q: 13. Find y' for sin(xy²) + x² = y². %3D

A:

Q: | Suppose f(x, y) = 2 sin(11ry) and g(x, Y, z) = /144 – x² – y² – z². Find the following function…

A: Guven, f(x,y) = 2sin(11xy) f(9, pi/72) = ?

Q: Evaluate the following integral. r/4 1 (s secx- cos cos sx)²dx 0 x/4 ļ (secx- cos x)²dx= 5 3 4 8 0…

A:

Q: Q. 4 Use Secant Method to find the root of: f(x) = x2 – 4 sin(x) = 0 Taking xo= 1 and x1=3 as…

A: Use secant method to determine roots.

Q: Show there is a root to the function f(z) = 9 sin z – 3x + 2 on the interval (3, 1). est tenth if…

A: Here we have, f(x)=9sinx-3x+2 ............. (1)  To prove:- The root of the function f(x)=9sinx-3x+2…

Q: Solve the following equation using separation of variables: dy 2y- cos(x) dr 1+ sin(x)

A: Cross multiply the equation and solve

Q: Complete the following argument that sinx#x for any x in the interval (0,1): • For any x in (0, 1),…

A: 1) the mean value theorem . 2) c . 3) is greater than . 4) is greater than .

Q: Solve for f(x) the ir f f(x) cos px 8 sin² t

A:

Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos is 17/16

A:

Q: 4. Given f(x)= sin 6x cos 6x dx , what is f| | if f(0)= x ? A. π В. О С. 2л D. — я

A: This integration can be integrated by using substitution method. Clearly it is observable that put…

Q: 1. Differentiate the following functions: cos (x)+1) sin-(2x), a) y =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q1. Differentiate the following functions with respect to x: i. y = x-% -4/x ii. y = x+Inx+ sin(3x)…

A:

Q: For which a value(s) is the function f(x)=sin (2x) defined and not differentiable? Check all that…

A:

Q: How do you solve this?

A:

Q: calculate L4 for f(x)=76 cos(x/2) over [2pi/4, 2pi/2]

A:

Q: For the function f(x) = sin x , with the aid of elementary formula sin2A = 1/2 (1 − cos 2A), show…

A: Given that fx=sinxfx+y=sinx+yfx+y=sinx cosy+cosx siny by addition formulaNow ,       fx+y-fx…

Q: f'(t) = sin 8t - cos -/-

A: You are correct

Q: Analyze the approximate value and the exact value for (7.2, 4.02) for the function z = x³y2 sin(xy)…

A: Below given clear explanation .Have a look in hand written solution below

Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³; (4) y = x sinh 2x-cosh 2x (2) y =…

A:

Q: 1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

A: We have to find the error.

Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³ (2)y=tan³ √/cot(7x); (4) y = x sinh…

A: Solution is given below:

Q: X- A coshx + B in ha +13 Sin be +4e

A: Answer

Q: S(x)= cos' ( (2x)). -cos? sın Show that f'(x) =-6 cos" (sin(2x)) sin (sin (2x))cos(2x).

A: Given, the function f(x)=cos3sin2x. Then we have to show that f'(x)=-6cos2sin2xsinsin2xcos2x.

Q: Q2: Derive the following functions sin2x 1. f(x) sec?x 2. f(x) = x²e*²

A:

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫√x sin2 (x3/2 - 1) dx, u = x3/2 -…

A:

Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: Q2// Given that oc= = sec-(-V13/2), find sin x, cos x, tan ox, csc o and cot x.

A: Given: write as Formula used

Q: i. f(x) = sin(cos(tan(2x))) j. f(x) = In³/2x

A: we have to differentiate it:-

Q: Given that f"(x) = cos(x), f'(x/2) = 4 and f(r/2) = 7 find: f' (x) = sinx+3 f(x) =

A:

Q: by implicit di f foretiation of sin-(xy) - cos-(x- y) Find -V1- (xy)? xV1-(x- y) ² + V1- (xy)? -V1-…

A: Using Implicit Differentiation

Q: Q2: Evaluate: * Jx* sin(1- x)dx?

A: use substitution method to solve the integral

Q: 2. For the function f(x) : = sin x. Show with the aid of the elementary formula. 1 1 (1- cos 2A)…

A:

Q: Find f(x), where f'(x) = sin(x) + cos(x) +1 and f(7) = 2.

A: Given: f'(x)=sin(x)+cos(x)+1 and f(π)=2

Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

Q: 22: Find dyldx for the following functions * (40 marks) · y = In (3 – 4 cos x) + (4x – 5)5 2. y = x²…

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: (5) Find the local extreme values of the function h(x) = sin?x – V2 . sinx + 2/2 on the interval (0,…

A:

Q: Find Duf at P. 3 4 f (x, y) = sin(x – 5y); Р(5, 1); u = i и %3 - - NOTE: Enter the exact answer. Duf

A: This is a directional derivative problem

Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x3y2 sin(xy)…

A: Given below clear explanation

Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.

Q: 211 If f(x) = sinh(- In c) then f'(r) 27

A: Given,        fx=sinh-lnx

Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x³y? sin(xy)…

A: Given below clear explanation

Q: Differentiate each of the following functions with respect to x. 1y = In cosh 2x 3. y = sinh(sin x)…

A: the student has informed that none are graded.

Q: Suppose that f(x) = 0.5 sin.x for - T). 1 | O 2 None

A: In question,  We have given a probability density function of X. Then we'll find the given…

Q: Q/ Find to the following functions: dx 1- sinh (x² + 7x + 12) 2- cosh²(17 – 4x²)

A:

Q: Q2: (a) Evaluate ſ cosx sinx V1 – sin4x dx.

A:

Q: i. f(x) = tan(sin?(3x)) 2x+1 j. f(x) = %3D x3-1

A: Derivatives

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫x sin (2x2) dx, u = 2x2

A: