1 dx cos x 7. . /3 1+sin x 8. cos rsin r dr. 9. cos rsin?r dr. COS

Q: Find the indefinite integral. J. x cos 107Tx2 dx

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Q: e3x Let dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3). ex+1

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Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x)

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Q: Given the line segment from the point (13, 7) when t = 0 to the point ( – 1, – 9) at t = 1, find the...

A: When t=0 then point (13,7) and t=1 then point (-1,-9)  

Q: 2. Show your solution. The sample space that describes all three-child families according to the gen...

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Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: IV. Find the particular solution of each of the following. 1. (2х — Зу + 2)dx - (3x + 4у-5); у(-3) %...

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Q: III Find the following: (Show your solution) Given: I미 = 35 |AN B| = 6 |AN Bn C| = 2 |A| = 15 |An C|...

A: Given that:  U=35, A=15, B=15, C=14, A∩B=6, A∩C=6, B∩C=5, A∩B∩C=2 We have to find: 1. A∩B∩C¯2. A∩B¯∪...

Q: 3. A statue 3 mhigh is standing on a base of 4 mhigh. If an observer's eye is 1.5 mabove the ground,...

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Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0. ...

A: H'(x) = 10/x2 -  10/x7 find H(x) = ? so we have to integrate it H'(x) = 10x-2 - 10x-7 H(x) = -10/x +...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x)

A: taylor series

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du . I tan(f(x))

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Q: 2. xdy +(y-xy+2)dx=0

A: Given,           xdy+y-xy+2dx=0To find : Solve the differential equation.

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: x² + y? = r2 O y = - y' = - y

A: topic - differential equation

Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd . 

Q: xdy+(y- xy + 2)dx =0 dx=0

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Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e* cos x, then S g(x) tan(f (x))dx is

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Q: Suppose an object in circular orbit stops in a position where cos(0) The terminal point is 13 locate...

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Q: Find f (x) so that when u = f(x) the integral J tan(f(x) 1+ In x dx can be rewritten as cot u du. %3...

A: ∫1+ln(x)tan(f(x))dxlet u=f(x)=xln(x)⇒u=xln(x)differentiate on both sidesdu=(1+ln(x))dx

Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is Eva...

A: topic - functions

Q: Evaluate the integral using tabular integration by parts. 4 x V2 x +1 dx +C %3D

A: LetI=∫ 4x32x+1dxPut 2x+1=u2x=u-1x=u-12differentiate 2dx=dudx=du2I=∫ 4u-123udu2I=∫ 4u-138udu2I=∫ 14u-...

Q: 1. S(z) = 64 –³ VI 2. -12r2 S(z) = 1+ 8x²

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Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an an...

A: Given query is to find the value of indicated angles.

Q: m2+2m Consider f dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+...

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Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

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Q: u+1 Using u-substitution, the integral S f(x)dx reduces to a new integral f g(u)du. If g(u) evaluate...

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Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

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Q: Solve using the U-Technique Question 12 Consider ) x(1+v) dx and using u-substitution in rewriting t...

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Q: Eliminate the parameter to find a Cartesian equation of the curve. 1 x(0) -cos 0 20 y(0) = 4 cos(20)...

A: (a)To determine: The cartesian equation by eliminating the parameter. (b) Range of x-values, express...

Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: Determine whether the series converges using the Ratio test. Σ 4* k8 k=1 The series

A: Given query is to find series converges or diverges.

Q: . The standard form of the first order linear differential equation x y'+xy +2 = 0 is,

A: This question is based on to form a standard first order differential equation.

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = | cos* (;x) dx

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Q: Evaluate the following integral. Sesim (5- In 2 dx 3

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Q: ollowing functions: b) y = (cos x)Vx*

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Q: 3Tt of cSC X du If u = f(x), then dx cos X . Compute %3D 2 sin x и -

A: Given ,  u = f(x) 

Q: For the following function ds find the antiderivative s that satisfies the given condition. dt ds -=...

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Q: S(x) = Vī – 8 VF f "(x) =

A: Given, fx=x-8x3 We have to find f'x.  

Q: Find the derivative of the trigonometric function. f(t) = t° sin(t)

A: To find the derivative of the following problem

Q: Find the differential equation whose solution is given by: y^2 = 4ax

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Q: At noon, ship A is 140 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing no...

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Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

Q: Find the Taylor polynomials of orders n = 0,1,2, 3, and 4 about x = x0 and then find the nth Taylor ...

A: f(x)=13sin(πx), x0=92

Q: Find a parametric representation for each of the following surfaces: (a) 36(x-1)² +25,y² +9(z+2)² = ...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has ...

A: The given equation is -2(x-4)2+1  This is in the general form and i.e. a(x-h)2+k  By comparing, a=2 ...