5x? tan(x) Let f(x) : Find the following: sec(x) 1. f'(x)= 2. f'(3) = %3D

Q: Is the series convergent or divergent? Justify the answer by solving it and explain why it is conver...

A: This is a series Problem

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

A:

Q: Topic: First order differential equations Analyze what solution you will use whether it is bernoulli...

A:

Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 О 12 O None of the choices

A:

Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 1. Show that function f(x)=D|x | is not differentiable at 0

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Verify that ɛ¡ikEjik = 6 . ijk ijk

A: Follow the procedure given below.

Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution, wher...

A: Given y'+5y=2 We have to find ∅x

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A:

Q: Consider the curve, y with parameter (, and function f in 3 dimensional Euclidean space with coordin...

A:

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t)

A: This is a problem of vector. By using concept of unit tangent vector we will solve B(t) vector at t=...

Q: Find the inverse Laplace Transform of: s – 1 (s – 2)(s – 3)(s – 4)

A:

Q: Find the distance between the following points wchich are represented in polar coordinates, P: (r, 0...

A: Given query is to find the distance between given points.

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

A:

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Please find the solution

Q: 11 Show that dy dx = 1-In2. 8(xy +1) 0 0

A: Follow next step

Q: Lesson 14 A. Find the derivative by implicit differentiation. Show your solution. 1. 2x 2y +5 2. x2 ...

A: Topic = Derivative As per guidelines , At  a time only one question with three sub-parts can be answ...

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Edy 6. y24+ yi = 1, when x = 0, y = 4 dx

A:

Q: O Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow ...

A: In order to solve this problem we need to frame this as arithmetic progression series and solve it a...

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

A:

Q: QSolve using trigonometric substitution: dx 2.

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answers...

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

A: Explanation of the answer is as follows

Q: ædx + ydy = (x² + y³)dæ a² + y? = Ce?= a² + y} = Ce=2s Option 1 Option 2 1 In (a² + 3°) = C in (z* +...

A:

Q: 1. Use the function g(x) 2x2-4x x2-9 %3! a. Use a calculator to graph g(x). Make sure you have a win...

A:   The given function is: g(x)=2x2-4xx2-9

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

A: Given problem:- Use the disk/washer method to set up a definite integral (set up only, do not evalua...

Q: (х — Зу + 3)dх + (3х + у + 9)dy 3D 0

A:

Q: Using integration by parts, the integral Sx sec(2x) tan(2x) dx is equal to: Hsec(2) -inise(20) + tan...

A:

Q: The derivative of the function y = xe(5+sec(2x)) is: y' [1+ 2x sec(2x) tan(2x)Je(*ece(2x) y' [1+x se...

A: We will find the derivative of the given function. 

Q: visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an islan...

A: A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an isl...

Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = B() =- 3 B(5) =+ 3 4 B(t) 5 k Option 1...

A:

Q: Use one of the limit definitions to find the derivative of f(x) at x = 2. f(x) = 4x2

A: Explained below

Q: Given the following polar function 16

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find. 

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: Q6/ Calculate mean, variance and standard deviation of following table: classes frequency 1-10 11 10...

A: To calculate mean, variance and standard deviation of the following table. classes frequency 1-...

Q: (х — Зу + 3)dх + (3х + у + 9)dy %3D 0

A:

Q: Use sigma notation to write the Taylor series about x = 8 for the function. 1 x +5 Σ k =

A: Taylor series of f(x) centered at x=a :           f(x) = ∑n=0∞ fn(a)n!(x-a)n = f(a)=f'(a)(x-a)+f''(a...

Q: Evaluate by any applicable method. Si VVæ – 1 dæ 15 32 8 15 32 15 None of the choices. Please refer ...

A: Topic = Integration

Q: Find the Horizontal Asymptote(s) of f(x) = 1+

A: We have to identify the relative extrema according to the given information and find the horizontal ...

Q: Consider the function y = -x3 + 3x² – 2. a) Find the critical points. b) Use the 2nd Derivative Test...

A:

Q: (m² + a² + 1)dm + m(m – 2a)da = 0 | %3D m2 Option 1 O Option 2 m-1 m2 Option 3 O Option 4

A: The given differential equation is; (m2+a2+1)dm +m(m-2a)da =0.

Q: Using Laplace Transform, solve the following initial value problem 3y' - 4y = sin 2t y(0) = ;

A: Given: 3y'-4y=sin2t  ; y0=13   Use the Laplace transform of derivation of function, Ly'=sYs-y0AndLsi...

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A:

Q: 4.Prove that the circumference of a circle with radius =2a is 4na by using the formula for the lengt...

A:

Q: u* + v*)du – uv*dv = 0 1 1 -5 и O Option 1 Option 2 1 1 u5

A:

Q: (In 3)² Evaluate 3 + In 3 + (In 3)" + ... + .... 2! n!

A:

Q: Sketch the region enclosed by the curves/lines x=y, y=1/x, y=3 and find its area.

A: Given; x=y, y=1x, y=3   First, we have to find the point of intersection between the curve y=1x and ...

Q: 3x * x3 - 8(y + 1) = 0 y+1 (2v2 + 4u?v)du + (4uv + 3u³)dv = 0

A: