Determine whether the sequence converges or diverges. If it converges, please compute the limit.    An = (1+ ((2pi)/n)))^2n

Q: The graph of f(a) shifted right 3 units and shifted down 5 units. Of(r). 3-5 Of(x)= -3+5…

A: Let's find.

Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

Q: Find an equation of the plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y =…

A:

Q: Find the value(s) of c such that n=0 enc = 10

A:

Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: nd the area between y = 8 sin x and y = = = 10 cos x over the interval

A: Topic:- application of integration

Q: 43. Vertices: (0, 12), (0, −12); Asymptotes: y = ±x

A:

Q: ch a graph of the function. in the piecewise definition f(x)= v the graph of f. --6-5-3-2 lear All…

A: We will graph the function.

Q: Find the magnitude of the given vector. (-4, 4, 7)

A:

Q: y" - y'-12y=6sin (2x)

A: Given problem:- Solve y'' -y' -12y= 6sin(2x)

Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3

Q: Write the given (total) area as an integral.  • The area above the x − axis and below y = 4x− x²…

A:

Q: r(t) = 8 cos(t)i +8 sin(t)j + tk; t = 2 8 √65 65 √65 0. = X 65 = 0 - 10 .

A:

Q: Consider the solid Q limited by the surfaces: And the planes z = x² + y²₁ z=4-2²-y² y√3= x, y = 0…

A: Given

Q: 12. SHOW ALL WORK Solve the equation for all t in the interval [0°, 360°). Express answers in…

A:

Q: Select all of the following graphs which represent y as a function of z. 3 20

A:

Q: (x+2y-1)dx+(5-2x-y)dy=0; y(0)=0, implicit solution  Also: a) Value of y if x=2

A: By arranging the question and then taking boldfaced ratio we'll get the answer. Here,I am providing…

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use ∞…

A: The given series is (2n)! /n2 , n from 1 to infinity.

Q: Let f(x)=8+ √6x-3. Find f¹(z). f-¹(x) =

A:

Q: Solve the differential equation: (D³ + D)²y = 0

A: The solution for the given differential equation is

Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

A:

Q: What are the rectangular coordinates of the point whose spherical coordinates are (1, ½π, π) ? x = Y…

A:

Q: Convert the Cartesian equation Z z = 6-√√36-x² - y² into spherical coordinates.

A:

Q: Solve y"+y' + y = 6sin (2x) supo

A:

Q: X + y = 3лab2 У Злаb2 у X find y" in complete solution

A:

Q: 2 luate / sin³ (3) cos¹ (3) dr. COS 1. Evaluate

A:

Q: If "6 fº 181 f(x) dx = 37 and 6 √° g(x g(x) dx = 12, find 6° 1² [3f(x) + 5g(x)] dx.

A:

Q: d. (4230°)-(222259) (2/140°) (3/300°) (Express your answer in polar form)

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Direction: Find the integral of the following functions: 1. (5 cos x + 7 sin x) dx 2. f(3tan² x +…

A:

Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. [ (v - x) dx +…

A:

Q: Find the work done by the force field F(x, y, z) = (x − y², y - z², z - x²) on a particle that moves…

A:

Q: Find the area of the part of the circle r = 5 sin 0 + cos in the fourth quadrant. Answer:

A:

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A:

Q: 8 765 4 3 2 1 -7-6-5-4-3-2 4 -2- -3 Clear All Draw: 4 -3 -6- 1 2 3 4 5 6 7 8

A:

Q: r(t) = (t, In(t), √t), to = 1 e the equations for the line to approximate r(to + 0.1). to + 0.1) =

A:

Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

A:

Q: Finding Extrema on a Closed Interval In Exercises 1-8, find the absolute extrema of the function on…

A: To find the absolute extrema of the function on the closed interval. By using a graphing utility to…

Q: Susan invested $2,500.00 per year in an IRA each year for 10 years. The interest rate was 7%…

A:

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A:

Q: Finding an Indefinite Integral In Exercises 55-66, find the indefinite integral. 58. far² √²…

A:

Q: Compute Each Derivative: 1) d tan¯¹ (1 + e²x) dx 2) x²cos-¹(3x4) d dx 3) x(sin-¹(x))² dx

A:

Q: the

A: We will solve the Differential equation.

Q: Find the exact length of the curve given by Length = x = 2t², y = (0 ≤ t ≤ 4).

A: A detailed solution is given below

Q: Find the magnitude of the given vector. (-4, 4, 7)

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41²³1 (4t³i + 14tj - 6√tk)…

A: Given that we need to solve the indefinite integral with using integral constant C.

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: We apply ratio test to show the series is convergent and then find its sum. Follow 2nd step.

Q: y" + 6y' +5y=10sin (2x)

A: First find AE(Auxiliary equation) and PI ( Particular integral)  then CS ( Complete Solution) is PI…