30 60 90 120 19. y (9,4) e- 2.

Q: 1 2. Evaluate =dx using the trigonometric substitution x= 2 tan0. 2 Vx + 4

A: As per honor code, we will answer the first question for you. Please submit the other as a separate…

Q: |2sin*e cos e de= 8. .a O 315 16 .b O 60 8. .C 63 16 .d O 315

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Q: sin x – e-* = 0, [0,1]

A: Secant method is used to approximate root of a function through an algorithm. It uses the concept of…

Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

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Q: 4) SE (8 y? + sin y ) dy 2

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Q: The value of 6 dz,where C:|z|= counterclockwise, is sinh(z+2) 7-4 O a. O b. 27isinh(3) sinh(3) O d.…

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Q: dx by using the trigonometric substitution of x 3D V12x? Find sino.

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Q: y² +4 dy y

A: Explanation of the answer is as follows

Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: y' + 2y = 5 sin(e2x) Need Help? Read It

A: We have to find the solution of given differential equation

Q: In evaluating J Tn²+4 n dn using trigonometric substitution, which trigonometric function should be…

A: In this we have to find a trigonometric function that should we put.   b. correct

Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: bu= 는 Sin hT x dx ans=- xcosuT sin

A: We have to use the UV rule of integration.

Q: - [fle)d@ find f(E)· dx Using Trigonometric Substitution J 3. (x² + x + 1) 7

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Q: Q3 Integrate using trigonometric substitution: dx I To +x² /9 +

A: Let (x/3) = tant Differentiate on both side  dx/3 = sec2t.dt dx = 3.sec2t.dt

Q: Given f(x, y) = 6e sin(2y) %3D Question Help: OVideo

A: We need to find del function at given points.

Q: For the function y=4 sin (4x+Tt/2) +2 ... find a ,b & c

A: Given,  Wave function equation: y = 4 sin(4x+π/2) + 2 We need to find out the value of a, b and c…

Q: - 25 csce A <0 < Given that 24 where 2 , find the exact value of the trig function using the half…

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Q: Using trigonometric substitutions, ſ dx is equal to: V4 +x2

A: we use Trigonometry substitution

Q: 3r* b) S(3 sin x – 4e* + 5* + 6) dx

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Q: 2 7 O Use the Trapezoidal rule with n= 4 to approximate the value of sin (x² )dx.

A: Given  0∫2√π sin(x2)dx  Let f(x) = sin(x2 )  Approximately the value f(x) by using trapezoidal rule…

Q: Find y" given that sin(y) + cos(r) =I %3D

A: We have to find the second derivative

Q: 3. What we want to do next is write (x + jy)as Reie where R= J(x? + y? ) and tan-(e) = (2)

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Q: For the function y=4 sin (4x+Tt/2) +2 find a ,b & c ...

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Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: State the trigonometric substitution appropriate to finding an antiderivative for x2 (x2 +16)3/2. A.…

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Q: dx Evaluate S- (x²+9)72 using trigonometric substitution 3/2

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Q: 16) da 1 y: Cos JE t 3.

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Q: 13. Evaluate using the substitution u = 1 – x² or trigonometric substitution. (b -ак х (a) dx x4 (c)…

A: Thank you for the question, As per our honor code we'll able to solve only first three sub parts of…

Q: c) If f(x, y)= e" cos 2x, then show that = 0.

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Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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Q: What is the range of the inverse sine function y= sin (x)? [0, T] B 2'2 ©(0, T) O ()

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Q: i) L {8e")=? ii) L{2cos3t}=? iii) L {e²*sin4t}=?

A: Note some formula of laplace transfomation : Leat=1s-a Lcos at=ss2+a2 Leatsin bt=bs-a2+b2

Q: TTY Sinz dy dz

A: We have to solve  ∫01∫0ππy sin z dy dz.

Q: Sinx. Osy dx + Cosx. sing dyco

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Q: If sinh I = 2 =, then tanh z is Select one: V5 O a. b. y5 2 O c. V5 O d.

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Q: When integrating by trigonometric substitution | V4x² +25 dx becomes a) jsc 25 sec? O tan O dO 2…

A: Solve

Q: The þaramehc equalion of the unde x+ =9 is ☺ x = 9 cost, y=9 sint X = 3 cost, y= 3sint X = 3 cost,…

A: A circle is a two dimensional  shape an it is  a closed curve . A set of all the point are at the…

Q: dx 6. S; ezx+1

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Q: State the trigonometric substitution appropriate to the integral: fx*(x² - 16)² dx 3/2 | A. x 16 sec…

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Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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Q: . Consider the function f(x) = cos(0.6z). %3D i. For the argument of cosine, 0.67. to vary by 2T,…

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Q: 1. Use Trigonometric substitution to evaluate f dx. Hint: Ju? – a² let u a sece.

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Q: ost and that  (e^it − e^−it)/2i = sin t

A: In this question, the concept of the Euler Formula is applied. Euler Formula eiθ=cosθ+isinθ

Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: For cos x– sin y= , find the value of k so that ky"= – 1 at y=- 2 2 4 2

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Q: Tc ニ lD+ 5Q+ 180 Q? Te= l00°+ 5Q + Q - given fumetion he 780Q? O-1 = OK IC parginal Revenue inal…

A: Given: TC=100+5Q+1480Q2

Q: 2. Evaluate the following using trigonometric substitution. Show all necessary solutions. 2/2 dx (c)…

A: We are given the integral : ∫12dxx24-x2 We need to evaluate this using trigonometric sub:stitution .…

Q: Let f (t) = et sin 5t

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.