Find the radius of convergence for Σ (sin²n)x". n=1

Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

A:

Q: B-Find the area of the region inside the curve r-1+cose and outside the curve -1 and graph the two…

A: Equate both equations to find limits and intersecting points of these curves

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: Sketch the figures and show step by step solutions. Find the area lying above the x-axis and under…

A: We have to find area for given curves.

Q: Differentiate tan (x¹3t) with respect to x, assuming that t is implicitly a function of x. dt (Use…

A:

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False 6 edx

A:

Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: Calculate the definite integrals (a) I₁ =¹7 (2x − 1)(x + 2) dx - 18 (b) I₂ =2₂¹8 (x + 2)(√√x - 2) dx

A:

Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

A:

Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: This question is based on Compound interest formula.

Q: عندما r = 3 cm تكون : V= r3 فان قيمة اذا كان 173 ب. 110 115 C dv dr 113 j

A: We can find the answer as below.

Q: -arc sin y dy 5 Answer with text and/or attachments:

A:

Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

A:

Q: Find the critical points of the function f(x) = 4 cos² (x) contained in the interval (0, 2). Use a…

A: Follow the procedure given below.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Graph the function. -4 X for -3 <x< -1 for -1<x< 1 -x²+1 for x ≥ 1 L X O

A: This question is related to Functions, we will solve it using given information.

Q: 5. r² = 1

A: As per the rules of the company we can answer only first question and rest can be reposted.

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A:

Q: 7. Evaluate each geometric series or state that it diverges. Provide reasons for your conclusion. k…

A:

Q: Evaluate the first derivative of the implicit function: 4x+ 2xy + y². A. (4x+y)/(x+y) B.…

A:

Q: S In (x) √xln(x)-x -X dx

A: ∫ln(x)xln(x)-xdx

Q: dx -10 x

A: We can solve the integration as below.

Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: x + 2y + 2z = -3…

A: According to Bartleby guidelines I can only answer the first question of the given two problems.

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

A: . What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

A:

Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

A:

Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

A:

Q: is equal to [²2x Select one: Of 2xdx +²2xdx none of the others O O ○ 4 ¹2xdx + ₁ + 2xdx 3 ¹2xdx…

A:

Q: 25 In (x) X dx

A:

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

A:

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

A:

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r=40.1…

A: We have to given volume of sphere in term of r

Q: Find an equation of the tangent line to the curve at the given point. y (4,16) (Express numbers in…

A:

Q: J = * By using trapezoidal rule, n=2, The integral π/2 sin (x) dx 0.9482 0.9480 0.9481 0.9444…

A: To evaluate the integral J=∫0π2sin(x)dx usiing Trapezoidal Rule:

Q: y = f(x)

A: We can answer all the three questions as below.

Q: The value of the definite integral 3 [² (3x² S is (3x² - 2x + 4)dx

A:

Q: Suppose that the functions h and g are defined as follows. h(x)= (-5+x) (5+x) g(x)=-8-6x (a) Find…

A:

Q: dx 16. S sin Ex di √x u= √√x du= I u 12/12 dx = ५५ -1/2 dx 2 би du YN

A: Solve the integration

Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

Q: \(\) Choose x such that the following two vectors are parallel u= and U= O None of the others O…

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) =…

A:

Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

A: