To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1- sin?2x sin4x , 1+ cos4x 2 2 sin4x, 1- cos4x &- 2 (D 2

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. ④ 금Sn(3e)- sin(11e")+C sin(11e*) + C 22 A © -cos(ae)- cos(11e) +c…

A: The given integral,   ∫excos7excos4exdx

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

Q: sin2x cos3x dx= sin5xdx – sinxdx A True B) False

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Q: b. g (x) 2.

A: Given query is to find the derivative of the expression.

Q: In sine sin -1x os (sin-!x) + C cos V1-x? 1-x² A) True В False

A: To check:  ∫sin(elnsin-1x)dx1-x2=-cos(sin-1x)+C is true or false.

Q: Find the vector PQ × PR if Р%3 (2, 1,0), Q = (-3,21, 10), R = (5, -2,9) (Give your answer using…

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Q: Question 13 sin2x cos3x dx = sinSxdx - sinxdx A) True B False

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Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

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A: Given query is to find the rate of change of angle.

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A: We have to construct  the integral to find the region bounded by given curves.

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Q: „Insec2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A None B…

A: See the answer below

Q: then udu = – xdx.

A: Follow the procedure given below.

Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

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A: Slope of tangent

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A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

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Q: To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the…

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Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

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Q: Question 17 sech (Insinx) cotxdx ==2tan-' (sinx) + C A) True B) False

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Q: Find the area of the parallelogram with vertices ?(−1,2,4), ?(0,4,8), C(1,1,5), and D(2,3,9).

A: Let us take  A = (−1,2,4), B = (0,4,8), and C(1,1,5).

Q: se transformations to graph f(x) = - 5* - 1. O A. ... hoose the correct graph. 110 10 OC. 10 10

A: Given query is to find the graph of the function.

Q: Which of the following will yield an inverse trigonometric function e2* dx A 4+e2r ydy B -16 wdw 25-…

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Q: ep along the shore at a point 1400m from the nearest point?

A: Please refer to the image below

Q: sin In sin )dx - cos(sin-!x) + C V1-x? A) True B) False

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Q: I. Write 2 – 7i in polar coordinates on the complex plane. - II. Find (1+ i)° using DeMoivre's…

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Q: Given: tan z = - and z is in Quadrant IV. Find the exact values of sin (), cos (). and tan (5)…

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Q: Sketch the graphs of two functions that have the given derivative: f'(x)=2

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Q: x +1 8. J x(x+ 4)3 dx

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Q: 3 Which of the following is equal to sec 2 x tan?x dx to obtain the correct indefinite integral? A)…

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Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: Determine if the following series is convergent or divergent: 8 n=1 3n2 + 4n + 5 O Convergent O…

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Q: Use the compound interest formula to find the account balance A, where P is principal, r is interest…

A: Principal =$140000 Rate=4.5% Compounded =annually  Time=20.

Q: Question 10 Soviax. Evaluate: 2ev(/x+1) + C A 2 =2ev(/x- 1) + C © =2ev(/x+1) +c %3D 2ev(/x- 1) + C 2

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

A: Evaluate the given laplace transform.

Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: 4+4 n i) The sequence { ") is bounded by 3 n ii) The 11 th. element of this sequence is

A: We will the upper and lower bound of the sequence and the 11th element of the given sequence as…

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

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Q: 4tan e sec ede tan0-2 tan 0 –15

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Q: sin2x cos3x dx=- sin5xdx - sinxdx A) True В False

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Q: (x+1) dx B | dx , the values of A & C respectively are 9. -- (r+2)(x - 1)² = /+ (x– 1)², x- 1 3 (А)…

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