x?dx ax ax + Barctan () + C x2 + 49 Find: a + B + 8

Q: In the integral, cos?tsin2tdt , the correct u using general power formula is;

A: Given, ∫cos2tsin2tdt Formula: cos2 t =(cos2t +1)/2  

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: 3 + 2xCoS (x) Aト 3x-5xe^

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Q: x2- Vx +1 When you evaluate dx. The sum of the coefficient of X" for any constant n> 0 is o (use num...

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: オーe-2r 12+e-2r x²+e-2r -2(x-e2) -dx x-+e de -2y, None

A: The given integral is; (x-e-2x)/(x2+e-2x).

Q: Find the domain of the following rational function. x+4 h(x) = x - 16 Select the correct choice belo...

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Q: 1 2х

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Q: To evaluate the integral expression sin -"(Vx )dv, using simple substitution dv=f(x)dx. Determine th...

A: Please see the below picture for detailed solution. 

Q: (2x if x1 continuous? (A) (0,1] (B) [0,1] (C) (1,2) (D) [-1,2]

A: Graph of the piecewise function÷

Q: Solve the differential equation (x² + xy² – x³)dx + (x²y – y³)dy = 0

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Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

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Q: If sin(t) = and t is in quadrant II, find cos(t), sec(t), csc(t), tan(t), cot(t). cos(t) %3D csc(t) ...

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Q: csc2tdt=In|csc2t – cot21|+C A) True B False

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

A: The amount of loan she took P1 =  $30,000  The current loan amount balance P2 = $56,000   Percentage...

Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

Q: 1+cscx 7. h(x)=- 1-csc x

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Q: = 10 f these

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Q: Solve the following (i) |10 - 3x |  ≤ 17  (ii) x² - 6x ≥ 13

A: We have to solve the inequality

Q: Calculate the volume of a solid enclosed by the following equations z=x² +1 , x=6, y=9 and the three...

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Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: cose Evaluate the integral: de. 4- sin2e

A: Follow the procedure given below.

Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

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Q: sin- In2 4+ tan-'cos- dx 2 2 I+ cos2* 4+ tan-'cos- In2 4+ tan-'cos- dx 2 2sin- 2 A 1+ cos 4+ tan -'c...

A: To evaluate: ∫sin x2 ln24+tan-1cosx2dx1+cos2x24+tan-1cosx2

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Cylindrical shell Method :    If the region between two curves y=f(x) and y=g(x) and f(x)≥g(x) on x∈...

Q: - ydx + (x++ xy )dy = 0

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Q: dx 5+ x2

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Q: 2 4– x2

A: topic - indefinite integral

Q: solve the differential eq + 2x) dx = = (2y \1+x²y² |dy 1+x²y²

A: The given differential equation is: y1+x2y2+2xdx=2y-x1+x2y2dy

Q: The general solution of the DE: In-2y dx – y-le-3*dy=0 A None of the given choices B e – 3ln³y=c C) ...

A: Given: ln-2ydx-y-1e-3xdy=0 We know that; The Power rule: ∫xndx=xn+1n+1+C; n≠-1 And ∫eax+bdx=eax+ba+C...

Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

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Q: Question 8 (sin(Inx"))³ Which of the following is equivalent to the integrand of 7cos (In(x³)) + cos...

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Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

Q: In order to evaluate the integral expression / In( sin(x) ) dv using simple substitution, dv=f(x)dx_...

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Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

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Q: cose Evaluate the integral: de. 4- sin?e -sn (ane) c B None of the given choices © shi (sn)+c e c si...

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Q: I Solve the differential equations [ 2(x+y)- xy]dy = (x+xy²- 2y +3)dx when x=1, y=1 3.

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Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

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Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3), wh...

A: We will find the time and distance. 

Q: Question 14 Which of the following indefinite integrals will result to logarithmic expression? 2 A (...

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Q: company produces computers. The demand equation for this computer is given by p(q)=−5q+6500. If the ...

A: Given query is to find the number of computer for which marginal revenue is zero.

Q: xp- A 3 X - 2ln (x²) + C + In (x²) + C D +C + B.

A: Given query is to find the value of the integral.

Q: Seroslun fecos(sin={w)dv ,cos(sin"

A: Follow the procedure given below.

Q: 5. Let f(x) be the function f(x) = {* T*<7 What is the value of c that makes the function f(x) conti...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 4 x2 + 4

A: We have to find out the antiderivative

Q: SOLVE THE DIFFERENTIAL EQUATIONS

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Q: 1. In this problem you will prove that the shortest distance between two points is a line using the ...

A: