Find the 10th term of a geometric sequence whose 2nd term is 7 and whose 5th term is 35. Report it in 3 decimals.

Q: Use the Alternating Series Test to show that the series is convergent. +oo (-1)"+1 Σ 3n n=1 Answer i...

A: The objective is to use alternating series test to show the convergence of the given series.

Q: 6) A function y =e-2x is defined numerically for some data range x. It can be entered using: (а) у -...

A:

Q: (2y^2+3xy-2y+6x)dx+x(x+2y-1)=0 Solve this differential equation

A:

Q: Find the equation of the line through P = (8, 7) such that the triangle bounded by this line and the...

A:

Q: 2 f(x)dx Given: There is a function F(x) such that when u= -x³, the 2 du resulting integral is Evalu...

A:

Q: No

A:

Q: 45-48. Average values Find the following average values 45. The average distance between points of t...

A: Here, the given disk is: R:{(r,θ):0≤r≤a} which is a circle x2+y2=a2 Therefore, the average distance ...

Q: p dq , for demand q and price p. Find the general equation q = f(p) where E = 3. (Hint: Set the elas...

A:

Q: Evaluate the integral S 4x4 – 12x² + 7 xdx (2x2 – 3)/4x4 – 12x² + 7 + 2ln|2x² – 3+/4x+ – 12x² +7]} +...

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: CSC X du 5. If u = f(x), then =1. Compute f %3D sin x- cos x COS X 2 (a) 1 (b) -1 (c) 0 (d) 2

A: =∫ csc xsinx -cos x dxsin x =1csc x,cos x =cot xcsc x    = ∫ csc x1csc x-cot xcsc x dx=∫ -csc2x dxco...

Q: 3. A single-input, single-output system has the state variable representation *= Ax + Bu y = Cx 1 wh...

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: Using Bernoulli equation. Follow step 2nd . 

Q: Use the difference an+1 – An to show that the sequence {n – 8"}=1 is strictly increasing or strictly...

A:

Q: dz Compute dz and for the following equation. dy e Y + xz² 6xy*z³ .3

A:

Q: person’s approximate brain weight is directly proportional to his or her body weight, and a person w...

A:

Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

A:

Q: dz dz 10. Compute for the following equation. and dx dy e*Y + xz? = 6xy*. *z° ||

A:

Q: The resale value R​ (in dollars) of a company car after t years is estimated to be given by R(t)=22...

A:

Q: 5. The volume of the solid formed by revolving the region bounded by the curve y = Vcosz, I-ax: from...

A:

Q: How many ways are there to represent a function? Find the domain of the following function x²+3x+1 V...

A:

Q: x* – /x dx бу 4

A: integration

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: It is a series expansion problem

Q: Problem #2 Use Cramer's Rule to solve the given linear system 2x-y 5 x + 3y =-1

A:

Q: Use the second derivative f"(x) = x(x+ 1)(x-3) to determine where the function f(x) is concave down....

A:

Q: Evaluate the integral dx ,2 2x x - 3x X

A:

Q: 8. dx du The integral reduces to k, where u = f(x) and for some ex + 1 constant k . Compute f(1). e ...

A:

Q: dx reduces to du The integral 3. ex + 1 where u = f(x) and for some и constant k . Compute f(1). (a)...

A: Given

Q: find a and b if the line tangent to f(x) = a(x − b)2 − 1 at x = −3 is also tangent to g(x) = 1/4(x +...

A:

Q: Find f'(x) for the following function. Then find f'(6), f'(0), and f'(- 7). f(x) = - 4x + 5x

A: Given,             fx=-4x2+5xTo find : f'x , f'6 , f'0 , f'-7

Q: -8 Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval....

A:

Q: The figure to the right shows the number of full-time employees of a company (in millions) as a func...

A: here y axis = number of employee in million x axis = revenue in company and rate of change of employ...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Find the interval of convergence of the power series. (Be sure to Include a check for convergence at...

A:

Q: Solve 3 5 |1 1| + 2 1 +|-8| 4 12 1 ol

A:

Q: dw 3. (w² +4)Z

A:

Q: e2t+a (2 cos at – 3 cosh 2at) -

A:

Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3...

Q: Find the length of the curve y=z from z 0 to z=4.

A: The length of the curve is given by:  

Q: dx The integral can be rewritten as - 8. (a) lim (-2+ 2v1 ) (b) lim (-1+2v1 – s) | (c) lim (-2 + V1-...

A:

Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 6 6 2r – 6)* k...

A: Here we have to use sigma notation to write the Taylor series about x=x0 for the function f(x)=ex; x...

Q: 3. The integral of an t dx is b In|sec(In(2x)ª)|. What is b? A. 1/2 В. 1/4 с. 2 D. 4

A:

Q: 7. Consider the integral 2m* g(x) dx. There is a function g(x) such that when u = Inx the resulting ...

A:

Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point w...

A:

Q: Find the derivative of the function. 4 3 g(x) = x +4x - 2x - 5 g'(x) =

A:

Q: f(x) = (x2 + x) (x* - 6x)3 %3D

A:

Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: estimates used by climbers? Higher altitudes can present challenges to mountain climbers and hikers....

A:

Q: Evaluate the integral of the improper fraction using partial fraction method - 2x + 6 + 1 d. 2x-8

A: We have to find given indefinite Integration.

Q: Consider the function below. Is g continuous on (0,1]? on (1,4]? why or why not? if æ 4.

A: Explanation of the answer is as follows