QUESTION 18 2ay" = 17 when =/2. y' "x= Arctant3, y=V1+r6, find the value of a if O -22

Q: 2. = COS X- 4. Amplitude= de%3D Equation of mid-line: ent Length of period: Phase Shift:

A: Given:- g(x) = cos(2(x-π/4)) To find  Amplitude Equation of midline  length of period phase shift

Q: tan e de (1+ In cos ele

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Q: Question 3 Evaluate the integral. 25 cot2x dr sin 2x Solutiont

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Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

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Q: 11. y = sin 12. y = cos*(-) 13. y = arccos(-) %3D 14. y = arcsin (- 5

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Q: Question 3 Use the trapezoidal rule with n = 5 to approximate %3D 2 cos(x) dx. Keep at least two…

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Q: Half the distance between the maximum and minimum y-values of a sine or cosine wave is known as its…

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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: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

Q: QUESTION 4 Solve the following integral by using substitution method. S(6- sin3x)' cos 3x dx.

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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: 1+3x – cosI 2.) lim tan x

A: limx->01+3x-cosxtanx When we plug in 0 for x then we get…

Q: 1. S(2cos4y – 1)i - sin4ydy

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 1 e xvx-1 dy dx 1 a),{ In |0* + 1|} ,b) arctan (V02 – 1) c) sec-1(0²) – 1 |

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Q: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

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: Find the area between the inner and outer ovals of r = 4(1+sine

A: I am going to solve the given problem by using some simple calculus to get the require

Q: 1. S sina de cos²x

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Q: 6.) y'of y = Insin(arctan 3x)

A: This is a basic differentiation question

Q: Question 8 Which of the following is equal to tanx dx to obtain the correct indef inite integral?…

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Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: - y = sin² (-1) y = cos" - y = arctan 0

A: This question is based on general solution of  Trignometric function.

Q: S) - aresin 2. 2 arcsin 2. is constant for 0sxs 4.

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Q: |12 sin(4x) cot(cos(4x)) dx

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Q: dy Find dx if y = cos e*

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Q: QUESTION 1 Solve 5cosh(x)+1=2 sinh (x).

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Q: dy dx a) { In |0* + 1|} „b) arctan (ve2 -1) , c) sec-(0²) – 1

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Q: What is the area of the region between the sine curve and the x-axis from to 2 ? -1 2 1 4 3.

A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

Q: QUESTION 1 Find (1+2x) In5x² 2x) In 5x² dx by using integration by parts.

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Q: 5. | sin (Tx) cos (Tx) dx

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Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: laploce ď ļ cos' at} 2

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Q: 12) Given y = 2 sin2x Period = b 3D Period = 1-- -1- -2

A: Solution: Give y=2sin2x Now use the form [a sin(bx-c)+d] That implise a=2 and b=2   Period =…

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (5t), 8 cos (5t)),…

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Q: Property 2 sin 8x Period Amplitude Minimum Value Maximum Value Phase at y = sin x Note: 0 sx S 2n

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: .15 S sin²4y cos>4ydy

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Q: Grade: 107.5/156 Print Version dy sin(5æ) Find for y dx dy Preview ||

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: 1- cos(0) (d) de sin (0)

A: We have to find integration

Q: 5) coS I sin rdr

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Q: Given 2 sin x + 4 cos y = 3 and * = 3, find dx at %3D dt .6'3.

A: Given: 2 sin x+4 cos y=3, dydt=3, we have to find dxdt at π6, π3

Q: What is the formula for integrating sin 46 cos 20d0 ? (sin 60 + sin 20) do O S(cos 60 – cos 20) do -…

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Q: Exercises ESet 27 Implicit Diffexentia tion 2 1. Find dy if dX +Sinxy Find dy if 2x' 3y8 -2- dx2

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Q: Verify.

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Q: Particular Intecral for the differen tial equation (0+0ly=Sin k is given by . * COSX * Sinx Sinx D0.…

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Q: 2 Arc cos (1- y=

A: Given,   y=2arccos1-x2+4x-x2.   It is differentiated as follows:…

Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form