Given that x=a(1 + sinc), y=a(1-cosc). Find an expression for d2y/dx2 leaving your answer in terms of c

Q: x sin x dx = kr, then the value of k is equal to

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Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

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Q: Given that 3 ex dx — ез . e, use this result to evaluate 5ex 6 dx.

A: Given that

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Q: If 8 (x) = sinx dx and g =3, then g (0) is equal to 2 A 4 B 1 -2 D

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Q: Which of the following is equal to (2° – 7æ)*dx = (x6 -

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Q: a) fr'(2+x*)'dx bf sin(nx) dx )fx* In xdx

A: According to guidelines  we must answer only three of multipart questions. Please resubmit the…

Q: (a) By using the substitution, u = 1 + x*, or otherwise, find x3 -dx 1+ x4

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

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

Q: 3 Given that 3. e dx = e° - e, use this result to evaluate 3ex + 4 dx.

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Q: Find dy/dx, simplify if needed. y=sin^2(4x) + (1/2) cos 8x

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Q: If 8 (x) = | sinx dx and g| |=3, then g (0) is equal to A 2 -2 D 4 B.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find dy/dx  given that      y= (x2 + 4x +3) / x(1/2) The denominator is square root of x, I…

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Q: Given x = 2 cost + 38 and y = 5 sin2t %3D

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Q: The sales of shirts and ties at a store are related by the equation 0.6x + 3xy + 8.3y = 78659.1,…

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Q: Given the function y=-3\cos (4\sqrt{x}

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Q: の ņ Find the equatisns if you know The root (*)つ、ノラ D4=Ge ー4X +Cze %3D 2X O y=e Lacas 3x+ Cz Sin 3x…

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Q: Consider b. () 2: x dx e-2 sin 5 a

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Q: (c) f(x) = Sn(cos(tanx)) %3D

A: (c) Chain Rule: The chain rule of differentiation is given by, ddxfgx=f'gx·g'x.   The given function…

Q: Q8. Find e-t sin(v3t) dt (b) L-* [tan"" () (a) L

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Q: If 8 (x) = | sinx dx and g |=3, then g (o) is equal to A -2 B D 4 2. 1.

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Q: 3 ex dx = e3 - e, use this result to evaluate Given that 5ex + 6 dx.

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Q: X- A coshx + B in ha +13 Sin be +4e

A: Answer

Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

Q: When evaluating ∫x sin x dx, explain how letting u = sin x and dv = x dx makes the solution more…

A: ∫x sinx dx

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Q: | ex dx = e³ – e, use this result to evaluate Given that 4ex + 7 dx. ( +

A: Given data: ∫13exdx=e3-e......(1) We have to evaluate ∫134ex+7dx ∫134exe7dx⇒4e7∫13exdx

Q: If cos (xy) = y-1, then the value of dy/dx when x=π/2 and y = 1 is?

A: If cos (xy) = y-1, then the value of dy/dx when x=π/2 and y = 1 is?

Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

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Q: When evaluated, | x sinh 3x² dx is equal to A. cosh3x? +C B. cosh3x? +C C. 3 cosh3x? +C D. 6 cosh3x…

A: we will let  3x2= t  to solve this question.

Q: sin 3x (x² +16)² dx

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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: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

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Q: The value of cos jn is equal to O a. sinh 7 O b. jcosh 7 Oc jsinh 7 O d. cosh 7

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Q: 3 3 ex dx = e3 - e, use this result to evaluate Given that %3D 7ex + 6 dx.

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Q: (3) fx² sin x dx (4) S (cos-14x)2 √1-16x² -dx

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: frosin(52)dz Find fro 70 sin(52)dx : + C

A: The given integral is ∫70sin50xdx

Q: To evaluate 1 dx 25+x2 the trigonometric substitution x = 5 sint

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Q: 2. dx tanx 4t² dt

A: To differentiate the given function.

Q: (a) By using the substitution, u = 1+ x*, or otherwise, find x3 dx 1+ x*

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Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

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Q: Evaluate 8xyz dz dx dy

A: In this question, we have to solve the triple integral in order.

Q: Without using a calculator, determine d/dx{2e^3x *cosh 4x−e^7x} in simplest terms.

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Q: In x2/25+ x2 dx , we let x = 5sine. A True B) False

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