Compute the value of the following improper integral, if it converges. (If it diverges, enter oo if it diverges to infinity, -oo if it diverges to negative infinity, or DNE if it diverges for some other reason.) Hint: integrate by parts. • 5 ln(x) x5 S dx = What does the value of the improper integral tell use about ∞ 5 ln(n)? the convergence of the series n.5 n=1 O the series converges the series diverges O the Integral Test does not apply

Q: Separate the variables and solve the differential equation. dy/dx =(((3x^2)+1)/(4y)) ;   y(0)=2

A:

Q: Graph the following function:  y=3tan(1\2x−π\6)+2

A: The objective of the question is to graph the given functions y = 3tan(1/2x - π/6) + 2 and y =…

Q: Find the area inside the oval limaçon r= 7+2 sin 0.

A: The region is bounded by a curve,

Q: d) F(x)= - sint dt

A:

Q: 162, 54, 18, 6, ... TC

A: Given that the sequence162,54,18,5........  we have to find the nth term of the sequence

Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

A:

Q: Find the derivative of the function y = arctan x + x 1+x²

A:

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A: We need to find the x-intercept of the given function.

Q: a) Approximate Ĵ; dx using left Riemann sum with 4 equal subintervals. 10 2x+1 b) Calculate the…

A: The given integral The Left Riemann sum

Q: Find the Taylor series for f(x) = x³ + x² + x + 1 about a = 1. Show all your work clearly.

A: We find the Taylor series for f(x) = x3 + x2 + x + 1 about a = 1.

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D.…

A:

Q: Find - 6x+1 x² +1 -dx.

A:

Q: Given that α is in quadrant 1 and tan(α)=2/5, and also given that β is in quadrant 2 and sin(β)=2/9,…

A: is in the quadrant 1 is in quadrant 2

Q: I plugged it in to my assignment and for cos(a-b) it says it's a -4 and not a +4. But thank you so…

A:

Q: Complete the information below which possibilities for the local behavior of f(x)=2x³+2x² −8x-48.…

A:

Q: 4. It costs C(x) = 112 + 1.4x dollars to produce x Specialty Hair Ribbons. To sell x Specialty Hair…

A: It costs  dollars to produce x Specialty Hair Ribbons.To sell x Specialty Hair Ribbons, the price…

Q: (d) k=1 5k 8k+6

A:

Q: USE RATIO TEST TO OF SERIES THE DETERMME CONVERGENC n+1 E n=1 n 2n

A: The given series is (n+1)/[n 2n], n from 1 to infinity.

Q: To test the series e Find the value of - 4n n=1 the Integral Test. (This is also a geometric series,…

A:

Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

A:

Q: FIND ALL LOCAL MAXIMA, LOCAL MINIMA, AND SADDLE POINTS FOR EACH OF THE FolloWING FUNCTIONS F(x,y) =…

A: We have given a function and we have to find the local minima, local maxima and saddle points.First…

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A:

Q: Find the arc length of the planar y = 6 sing for 040LH C Curve X=6 Cos 0₁

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: Let f be the function defined by f(x) = |x - 21 for all x. Which of the following statements is…

A: Let f be the function defined by f(x) = |x - 2| for all x.

Q: Find the radius of convergence and the interval of convergence of the series. n=1 8n-1

A:

Q: Find the volume of the solid obtained from rotating the region bounded by y = x², y = 4 about the x…

A:

Q: Let f(x)=6x3+3x+3. Find x if f-1(x)=2. x=?

A: The objective of this question is to find the value of x for which the inverse function of f(x)…

Q: A measure of the adhesiveness of honey can be modeled as f(x, y) = −125.48 + 4.26x + 4.85y − 0.05x2…

A: A measure of the adhesiveness of honey can be modeled aswhere,x is the percentage of glucose and…

Q: Find the relative extrema of the function f(x)=- 1 2π (x-5)² 2

A: given funciton  to find the extreme points.

Q: Use a double integral to find the volume of the tetrahedron bounded by the coordinate planes and z =…

A:

Q: FIND THE RADIUS OF CONVERGENCE OF THE POWER SERIES. 118 n=1 n n!! (18 n=1 хи n²57 s + (x²x) =…

A:

Q: Let f be a function defined as follows: A jump discontinuity f(x) = What type of discontinuity does…

A: The objective of this question is to determine the type of discontinuity the given function has at…

Q: limit does not exist, explain why. b Ay 8 177 6 5 4 3 2 11 15 3 4 15 →>>>> G OB. The limit does not…

A: If  then

Q: Use a change of variables or the table to evaluate the following indefinite integral. √x³ (x²-5) d…

A:

Q: 0-sin 20 Ꮎ b) lim- 0-0

A:

Q: Pls help ASAP

A: Given that :

Q: What is the polar equation of the vertical line x = 10? Choose the correct answer below. OA. r= 10…

A: Given vertical linex=10

Q: A thin wire with the density function p(x, y, z) = 1 + x lying along the curve (t) = (2 cost)i + (2…

A:

Q: Problem 5. Find the arc-length distance of the curve from t = - In 4 to t = 0? r(t) = (e cost)i +…

A:

Q: Serperate tthe variables and solve the equation 2y (dy/dx) + 2x =0. Use the initial condition x =0;…

A: To seperate tthe variables and solve the equation .To use the initial condition  to find the…

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= -2 cos…

A:

Q: Find the derivative of the function. y = [x + (x + sin²(x))51³ y' =

A:

Q: A company has the linear total cost function C(x) = 22x + 2109. (a) What is the company's marginal…

A:

Q: 19) Besides y=-x³, pick at least 2 other functions with odd exponents to explore. List in the…

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

Q: Water is leaking out of an inverted conical tank at a rate of 14900 cubic centimeters per min at the…

A:

Q: Pls help ASAP and pls provide all steps and calculations

A:

Q: 3. Evaluate the integral X Sin x dx S

A: The given integral is xsinx. According to the bartleby guidelines we solve only one question repost…

Q: Find the curl of the vector field F = (2y cos(x), 7x sin(y)). curl F-

A:

Q: For the vectors u = (-4,1,1) and v= (-2,2,3), express u as the sum u = p + n, where p is parallel to…

A: We have to express u as the sum of p and n.

Q: Convert the following equation to polar coordinates. y=x² The polar form of y=x² is (Type an exact…

A: Relationship between rectangular and polar coordinates