9=1-5t Gas. d= o ans

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

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Q: Solve using the U-Technique Question 8 Given: S . There is a function f (x) such that when u = -x³, ...

A: Given: ∫2f(x)dxe-x3   , u=-x3

Q: landscaping

A: We will find a linear equation. 

Q: Evaluate the integral. |a cos(6 z) dz =| %3D

A: Topic:- integration

Q: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: 2:(y –x² }tx+ dy =0 1.

A:

Q: 200 1. The function: P(x) = 2x + 0 <x < 0, models the perimeter of a rectangle of dimensions x by 10...

A:

Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the va...

A:

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: (2x + dx + 4x*) (x +4x5 Using u-substitution and transformation of the integrand, then the power for...

A:

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: What is the value of 7/2 r(3 cos(x) + sin(x))dr? 7/2 Give your answer as an integer or as a decimal ...

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Q: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

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Q: 4. Fond theequation ofthe tangent line to the graph of the Function FCx)=R-JX at the point (1,0).

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Q: A rectangular box with an open top has a square bottom and a volume of 4 m³. Find the dimensions of ...

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Q: Given: 2/(x)dx There is a function f (x) such that when u = -x, the resulting integral is 2du Evalua...

A: Need to find the function f(x). Given information: The integral is ∫2f(x)dxe-x3. There is a function...

Q: Use the given definition to find f(A): If f(x) = a, + a,x a,x + ... + ax" is a polynomial function, ...

A: This is a problem related to matrix. We will find out square of the matrix and then calculate f(A) m...

Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

Q: 3. Is the function given by Sx-4x-3, メ<5 X-5 メ+1,xM5 continccus at x=52 why cr whynot?

A: topic - limit and continuity

Q: 1. Given: a2 = 12, a3 = 24 Find: ao =? a. 2 b. 4 с. 3 d.

A: Topic:- sequence and series

Q: Given: ((x)dx Evaluate f(v2). There is a function f(x) such that when u = -x³, the resulting integra...

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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: Solve using the U-Technique Question 7 Consider f"m dm. If we let u = m + 1, what will be the result...

A:

Q: Question 20 csc x du 3T If u = f(x), then dx = Compute f и sin x – cos x A B 1 D -1

A: We have to solve our question

Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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

Q: 12. Evaluate ((1– cos x) dx a.) 1- sin x +C b.)x - cos x +C c.) 1- cos x+C d.) x- sin x+C 13. Evalua...

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Q: Use the formula for the binomial series: (1+x)" m(m-1) 2 + 2! m(m-1).-(m-k+1). k! 1+ тx + + = ... .....

A: Given:     Maclaurin series for 1+x18  Formula for binomial series:      1+xm=1+mx+mm-12!x2+...+mm-1...

Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: Solve using the U-Technique Question 18 dx du The integral S; reduces to f ka", where u = f(x) and f...

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Q: Solve using the U-Technique Question 5 The integral / 2 *)cos(2*) dx takes the form k/ cosu du when ...

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

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Q: If u = f(x), then S k dx = +C for some constant k. Compute kf(1). %3D x*+2x2+1 x2+1 4 -1

A: u=f(x)f(x)=xx2+2I=∫ xx4+2x2+1 dxI=∫ x dx(x2+1)2u=x2+1du = 2x dxx dx =du2

Q: If cotx = 12 find the other trigonometric functions

A: Given that cot (x)=12 -(i)Our Aim is to find the other trigonometric functions.

Q: cot 2x dx J Vcot2x – 15 cot²2x

A: Here we have to evaluate I=∫cot2xcot22x-15dx

Q: Fcx)-2メー3)ー4

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

Q: Solve the initial value problem. ds 281(7? – 5)°, dt s(1) = 12 4 (71² – 5) + 4 The solution is s = 2

A: This is a problem of integration. By using below formula we will calculate integral and then will su...

Q: Prove that 2"+l > (n + 2) · sin(n) for all positive integers n.

A: We have to prove that, 2n+1&gt;(n+2)·sin(n) for all positive integers n.

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is based on ratio test.

Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function f...

A: see below the answer and explanation

Q: Divide P(x)=8x-4x+2x-1 by D(x)=2x-1 Find the quotient, Q(x), and the remainder, R(x) Write an equati...

A:

Q: Determine whether the following sequence is convergent or divergent. Justify your answer {Vn- Vn+1}

A: We need to determine that sequence n-n+1 is convergent or not.

Q: Determine the quotient and remainder if P(x)=x'+6x'+2x'+x-3 is divided by D(x)—x'—2х—1

A: Topic = Algebra

Q: Find The artlal Auatives (first and Seond

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

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos² x

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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: 5. The standard form of the first order linear differential equation dy-(cscx-ycot.x)dx=Ois %3D

A: As we know that; The standard form of the first order linear differential equation; dydx+Py=Q Where;...

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

A:

Q: Calculate the real values of x and y such that (x+y)³ is bigger than 8

A: Given: - The expression (x+y)3 is bigger than 8. To calculate: - The real values of x and y.