Problem 2. (a) Simplify the expression cos(arctan x), x > 0.

Q: Question 4 Find the equation of the tangent line to the curve Y = (2-6³²) cos(₂x) at x=0

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Q: Problem E4 Proof that: cos³x+sin³ x cosx+sinx + cos³ x-sin³ x cosx – sinx = 2

A: Given  cos3x+sin3xcosx+sinx+cos3x-sin3xcosx-sinx=2

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Q: sin x cos x y = Vx³-4

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Q: 1/12 cos 2x dx

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Q: 12 Problem 1. Suppose sin a = 13 .<α<πand cos β=- 37 Find where <B<-

A: The objective of the question is determine the tan and sec with the help of given condition.

Q: Question 11 Consider [x cos²x dx − x sin³x dx = = x+ƒ(x) + — 8(x) + - +C. What is the value of f 8

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Q: Problem # 1 If f(x) = 2x° sin x cos x %3D Find f'(x) = Find f'() 3 ***** Find The Exact Value, no…

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question.…

Q: Problem 3.4: Given a solution y,(x) = cos x, find the GS of 2y' sin x + (sin? x + 1) – y² = 0

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Q: Question 4 7s 2s-8 -cosh( 2t) sinh( 4t) sinh( 2t) 7 - cosh(4t)

A: To find:- L-1(7s/(2s2-8))

Q: Problem 10. Evaluate e' sin 2t dr, correct to 4 decimal places Comparing fe' sin 2r dt with fea…

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Q: Question 3 4. a) Integrate tan (0) sec (0)d0.

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Q: Problem #6: Find the equation of the line tangent to f (x)= cos x-sin? 1 at x =-. 5х 6.

A: We have to find out the tangent line

Q: Problem 1: TT/2 cos x sin(sin x) dx

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Q: */10 S sin(10z) arctan(sin 5x)dr = ? a)10(7 – 2) - 2 b)- 5 ) 5 (т — 2) T - 2 d)- 10 Ол - 10

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Q: How can the graph of y=sin^(-1) x be obtained from the graph of the restricted sine function?

A: "Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Question 8 If we have to check the DE Sin(x) +y cos(x) =1 for Exact then M,--- dx -cos(x) sin(x)…

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Q: Problem 2. Solve the following trigonometric integrals. (a) f sin³ x cos³ xdx WORKSHEET 3, CALCULUS…

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Q: Question 6 |5x sinx dx = 5x cosr +5 sinx +c OA. 5x cosx -5 sinx +c В. OB. -5x cosx +5 sinx +c Oc.…

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Q: Problem 4 Show that arcsinh(x) = sinh(x) = In (x+ V/x² +1). %3D int: Let y = sinh¬' (x). Then x =…

A: Topic:-  trigonometry

Q: Problem #6: Find the equation of the line tangent to f(x)= cos² x- sin? 1 at x = -. - 5x 6.

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Q: QUESTION 10 a) Solve the equation 4 sin 2x = -3 cos x for 0sx< 27 .

A: Topic = Trigonometric equations  As per guidelines,  At a time only one question can be answered out…

Q: 1. S sina de cos²x

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Q: 1- Sin 2X dx CDS X

A: Consider the integral  ∫1−sin2xcosx−sinxdx

Q: 1. limg sin(x)

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Q: Question 2 Evaluate x cos(3x) dx. .2 x° CoS Question 3 Evaluate e" cos (2x) dx. Question 4 Evaluate…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Problem 4.13 Find f if f'(0) = 2 sin 0 – sec² 0 -

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Q: cos? (x) 5 x²e* 6 V1 – x³ 4 - ex 7 sinh(x) 8 x² arctan(x) 9 1- X

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Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

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Q: Problem 5, Verify the following: 1. fr cos(x)dx = x sin(x) + cos(x)+c 2. ſ csc(x) cot(x)dx = –…

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Q: QUESTION 6 Use differential to approximate the value of cos(48°). Give your answer correct to four…

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Q: Problem # 15 7 tan (2x) dx use: tan²x = sec² x - 1

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Q: Problem #6: Find the slope of the line tangent tof x =cos² x- sin? at 1 5x Solution:

A: We have to find slope

Q: tan(0)² cos(0) d0

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Q: O Problem 14 Suppose a & toof ladder is leaning against a vertical wall where the top of the ladder…

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Q: 4) Graph the function: y = sin(-0)

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Q: Problem 1 a) Find [(sinx + 1) ] and (sin² x +2 sinx). Compare your answers. dx dx b) What is [(2…

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Q: Question 12 of 16 > Find the equation of the tangent line to f(x) = 10e* cos2(x) at x 4 (Use…

A: To find equation of the tangent to the given function at a given pointGiven function is

Q: 1. Find the period of the function y = 4 sin () - 3.

A: Concept Used: Consider y=A sin(B(x+C))+D Then Period=2πB radians

Q: Problem sin x Differentiate and simplify y = 1 + cos x

A: To differentiate the given function

Q: Problem # 2 3 sin x If f(x) = 3 + cos x Find f'(x) =

A: We will find f'(x) as following.

Q: PROBLEM 4 (cos² x sin x-sin x cos x+sin³ x' lim Evaluate analytically the х2

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Q: 4. sin+ cosx – 1 = 0 (L3)

A: Solution of problem (L3) 4

Q: Problem 1. What is the distance travelled by a point during the time t, if it moves in X- Y plane…

A: Given that x=asinωt and y=a(1-cosωt) are relative to each other. We need to find the distance…

Q: Problem 8. Find solutions of the following equation satisfying the given condition: 167 2²y/ cos cos…

A: I am going to solve the given problem first by getting the solution of the given differential…

Q: the equation for x if 0 < x < 27. COS X 2 sin x = 0

A: Factor the given expression

Q: Problem 1. (a) Show that that 1 – tanh² x = sech² x and use it to prove that sech(tanh x) = v1 – x².

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

Q: 1.5; cOs X dx sin³ x – 4 sin x

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: PROBLEM 2: The function y = 4 sin x + 3 cos x can be represented by sinusoidal curve with an…

A: To show the extrema of given function is 5f(x) = 4.sinx+3.cosx