J Arctan(x)dx xArctan(x) -In(1 + x²) + c

Q: 9. (2y? + 2y + 4x²) dx + (2xy + x) dy = 0; when x = -1 and y = 0

A: As per our guidelines we can help you in solving only first problem. Rest of the problems you have t...

Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval ISIS4

A:

Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

A:

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the differe...

A:

Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some tim...

A: topic - mean value theorem

Q: dx a) S 19-x²

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: The functionf is a continuous function with the following characteristics: f(x) <0 on the interval -...

A:

Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

A:

Q: FInd the Laplace transform of a^t

A: We will formula for integration by part.    

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A:

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

A:

Q: 1 is divergent. all n, then n=1

A:

Q: 6x(a3x*-1) dx 4.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: S cot5xdx ха

A:

Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

A:

Q: (2y? + 2y + 4x²)dx +(2xy +x)dy = 0; when x =- 1 and y = 0 %3D

A: Let's find. 

Q: 5: Solve the following differential equation, seo de 1 dx %3D 1 ,x(1/2) = 3 x2 csc e

A:

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point (0,8a)...

A: I am attaching image so that you understand each and every step.

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², x2, 2. x = ...

A: Area of the Region between the curves : If f(x) and g(x) be two continuous function on a,b and f(x)≥...

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

A:

Q: -2 V2x - x² dx

A: The given integral,       ∫022x-x2 dx

Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

A:

Q: 2. Show that the equation 2x + cosx 0 has exactly one real root.

A:

Q: Consider the graph of fshown below. Use the graph to determine the following. If a quantity does not...

A:

Q: 15.

A:

Q: 1. 2(2y? + 5xy 2y + 4)dx + x(2x + 2y- 1)dy = 0 2. y(y+ 2x - 2)dx 2(x + y)dy = 0 3. xydx - (x² + 2y²)...

A: As per our guideline we supposed to answer only first question to get remaining kindly post again To...

Q: Calculate the 5-unit moving average of the function. Plot the function and its moving average on the...

A:

Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: S In?x dx = xln?x – 2xlnx + 2x + c %3D

A:

Q: Given arccos(r) = arccot(z²), solve for dz/dr

A:

Q: cos-1(2 x2)

A:

Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: 4. y = 2x – x², y = 2x2 – 4x |

A: Since you have posted multiple questions i can do first question (no.4)as per our company guidelines...

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

Q: Consider the following. u = -9i - 4j - 2k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find...

A:

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

Q: The distance x, in feet, between successive cars on a certain stretch of highway has the following p...

A: We have to find the probability [ P(0 &lt;= x &lt; inf) ]

Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

Q: O Find Hhe lme qr=sin'o when the elpe 3.)

A:

Q: (x²-ax +4" dx

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: If y = csc² x+ 2 , then ſ y dx = cot x + 2x + c True O False

A:

Q: wnd the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given by...

A:

Q: The total world population is forecast to be P(t) = 0.0008t3 - 0.0714t2 + 0.81t + 6.04 (0 sts 10) in...

A: The population is given by P(t) = 0.0008t³ - 0.0714t² + 0.81t + 6.04

Q: Let A = {1, 2, 3, 4}. Prove or disprove each of the following statements. If the statement is true, ...

A:

Q: If a particle is moving with the given data a(t) = 10 sin t +3 cos t, s(0) = 1, v(2n) = –4 Then the ...

A: Given that at=10sint+3cost  ,s0=1,      v2π=-4To find : the position function stSolution :we know th...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: