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

Q: Evaluate the integral x cot x² sin(in |sin x²l) dx.

A: LetI=∫ xcotx2sinlnsinx2dxSubstitute u=lnsinx2Differentiate du=1sinx2ddxsinx2du=1sinx2cos(x2)ddxx2du=...

Q: y" + y " +y' + y = 1

A: A differential equation is said to be linear if no terms in it are formed by multiplication of two t...

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(u) cot(u) + s...

A: Question- Write the trigonometric expression in terms of sine and cosine,and then simplify:  Cos(u) ...

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: Required information NOTE: This is a multi-part question Once an answer is submitted, you will be un...

A:

Q: Q1) Evaluate the following integral using By Parts Method: y = х.In(x3 + x) dx

A:

Q: Question 13 Using u-substitution, the integral S f(x)dx reduces to a new integral ſ g(u)du. If g(u) ...

A: Here, given that: ∫f(x) dx=x+ln (x-1)+c...(1)

Q: Find the derivative of the trigonometric function. f(t) = t° sin(t) f (t) = -1

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

Q: Determine whether the series converges, and if so find its sum. 4k+2 7メー1 k=D1 1) This series can be...

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile i...

A:

Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: k+2 k=1 The series diverges.

A: To find rhe sum of series

Q: Evaluate f(3v+ dx

A: As per our guidelines we are only solve one question (i.e. the first question from start) and the re...

Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

A:

Q: Obtain the general and particular solution 3. xcos²ydx + tanydy = 0

A:

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

A: To find the derivative of the following problem

Q: A. Describe the set of inputs, the function rule, and the set of outputs for each function. 1. The a...

A:

Q: Solve using the U-Technique Question 15 Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integ...

A:

Q: liminate the parameter to find a Cartesian equation of the curve. =(t) = - 3 + 2 cos t (t) = 2 sin t...

A: Topic:- function

Q: Q9

A:

Q: a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. Wha...

A: For solving this, 1st change radian to degree. Then apply trigonometric relation. 

Q: Evaluate the limit below. 1 lim (x,y)→(0,0) 1-x2-y?

A: limx, y→0, 011-x2-y2

Q: dx 2. The linear differential equation dy r = y' has the integrating factor equal to_ 3. When the li...

A: To answer questions 2 and 4 related to the first-order differential equation. The standard form of t...

Q: (5-3x^2)^7 (square root 6x^2+18-12) how would this be solved using logarithmic differentiation?

A:

Q: Solve each of the following DEs by determining its integrating factr. y(xy+2)dx+(x²y+8x-4y²)dy = 0

A:

Q: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

A:

Q: Given h(s, t) = s In t – t ln s. What is the value of h(e, 1)? %3D

A: topic - functions

Q: Solution of the given differential equation. Assume dy + 30y = 12; dt -30 When y 30t dy !3! dt Thus,...

A: We will find the solution for the given differential equation. 

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

A: ∫f(x)dx = x + ln(x-1) +c we have to find f(x) so we have to derivate the ∫f(x)dx so f(x) = 1 + 1/(x-...

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

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (-1)k+1 k8/...

A:

Q: Given A=3az +3ax -2ay, B=2ay -ax +5az, C=3ax +2az +2ay and D=-ay +3ax -2az. Find scalars a, b and c ...

A:

Q: dx - 7y*; when y=1,x=-1 1. 2. (4+sine*)y' =e*(6sec e* -ycose");y(ln x) = 1/4

A:

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: 1 Σ k=1 27k 2k

A:

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: 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: Use the difference an+1 an to show that the sequence {n – 8"} +oo In=1 is strictly increasing or str...

A: The sequence{n-8n}n=1∞

Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

A:

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

A:

Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

Q: 3. Is the function given by Sx-4x-5, メ<5 X-5 2. continccus at x =52 Why ar whynot ?

A:

Q: 3T en: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (").

A: Given query is to find the indicated function.

Q: Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictl...

A:

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

A: Here is the solution

Q: Question 16 Determine f(x) so that | cos(In?x) f (x) dx = sin(In²x) + C ... 2ln(x) A) In(x) B 2In(x)...

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 9 – 19t y(t) = 38t + 21 (a...

A:

Q: For the binomial series: (1+x)" = 1+ mx + m(m-1) 2! 1 + E m(m-1) k=1 8. %3D laurin series for V1 + x...

A:

Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C