Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (n+1)! n! (d) an = sinn (e) an = Find the sum of the convergent series. (a) 3

Q: Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the syst...

A: The general form of a system of equations of two variables is given by a1x+b1y=c1 and a2x+b2y=c2. Th...

Q: Question 40 Evaluate (~ (~p A q) ~ (p V ~ q)) →~(~p ~q). O TTFT O TTTF O FFTT Tautology O TTFF ontra...

A:

Q: Consider the initial value problem y" - 2y' – 8y = 0, y(0) = a, y'(0) = 3 Find the value of a so tha...

A: Given differential equation is y'' - 2y' - 8y = 0 with  y(0) = α , y'(0) = 3

Q: Solve the variational problem 8] +2y (x +y)] de = 0, given y (1) éy (2) 0. %3D

A:

Q: 5. Solve the following equation for x. (4x+ 18) = 3x +4 6. If f(x) = x? - 1 and gx) = 3x + 10, what ...

A:

Q: Determine whether the equation is exact. If it is, then solve it. (y? sin x) dx + (1/x-y/x) dy = 0.

A:

Q: A V log C5+zi)

A: According to the guidelines  I am answering only first question.

Q: Example-Approximate Error For f(x) = 7e05 at x=2 find the following, a) f'(2) using h=0.3 b) f'(2) u...

A:

Q: 3x2+3y2-18y+15 F (x. y) = 4- /2x+4y+4 a) Find domain b) Find sign Diagram

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:

Q: eln (R/c) secx - sec?x)" sec(34 – x) "du?? dx to be integrable using the formula What should be the ...

A:

Q: Q2: Solve the following (if possible): 1. = 5x + 11 mod 37 3

A: Since you have asked multiple questions, we will solve the first question for you. If you need any p...

Q: Solve: (cos x) · (dy/dx) + y sin x = 2x cos2 x, y(Tt/4) = (-15/2-n2)/32.

A: The given differential equation can be written as :            dydx +ytanx = 2xcosx So, the integrat...

Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A:

Q: 37. Which of the following accurately shows the constraint on the daily capacity for the third produ...

A:

Q: Name: Date: Drow an example of a line that would hove a positive slope: At what point does the line ...

A: The slope of the line is positive. Therefore, the angle between the line and the x-axis is less than...

Q: 2. у"- Зу'+ 2у-е" when y(0)%3D1 аnd y'(0) —0 3t

A:

Q: Let 0 < c < 1. Compute the integral rc+ioo dz Jc-ioo sin nz' where the integration path is the strai...

A: We will use the basic knowledge of complex line integrals to answer this question properly, in detai...

Q: Evaluate | f'(x) sin f() dx. Your answer should not contain f, which is a differentiable function wi...

A: Properties of the integral  If I=∫f'(x) g(f(x)) dx then using the substitution t=f(x) ⇒dt=f'(x) dx ...

Q: Question 23 Evaluate ~ p (~q p). O TFTF O FFFT O FTFT O TFFT O FFTF O TFTT

A:

Q: Find the roots: x3 = -2

A:

Q: e ln (xle) (2– sec²r)cm#/c°sec³x sec(3A – x) What should be the value of A for -dx to be integrable ...

A:

Q: Exercise 1 Determine the relative extrema of f. (c) f(x,y) = cos(x + y) + cos x + cos y; 0< x, y < 2...

A: Given: f(x, y) = cos(x + y) + cos x + cosy;    0≤x,y≤2π  

Q: A set production designer creates a right circular cylindrical PILLAR. The designer knows the amount...

A:

Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1 converges or diverges.

A:

Q: Type the correct answer in the box, In 1979, the price of electricity was $0.05 per kilowatt-hour. T...

A: Given: The price of electricity in 1979 is 0.05$ The increase in rate annually is 2.05% To find the ...

Q: The following table shows the amount spent by four U.S. airines to fly one available seat 1 mile in ...

A:

Q: dx = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) + - 3 3 -1 6.

A:

Q: |2 In x 1 et 2 1 In 2x

A:

Q: Draw a line on the graph that will intersect the given line at the point (3,2) ei Jor

A:

Q: Determine if the following limits exist: x2 + y? (a) lim (x.y)→(0,0) e# + y² – cos(y) IVly[ sin(y) (...

A:

Q: (2) y(x2 + y2 – 1)dx + x(x² + y² + 1)dy = 0

A: Dear Student According to Bartley by guidelines we can answer only one question at a time. Please up...

Q: dx = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-lx+1) 3 3 + 6 6. + + + -15

A:

Q: Find the area of the region bounded by the curve y =1-- 2 and the x-axis. O 8 square units square un...

A:

Q: Show that the list of vectors {r + 2, x² + 2, x³ – 3, x4 – x² + 1} is a linearly independent set of ...

A:

Q: To get a feel for higher order ODES, show that the given functions are solutions and form a basis on...

A:

Q: Find the solution of the following system of equations by inverse using Gauss-Jordan and inverse usi...

A:

Q: Determine the Laplace transform of: (a) cos(st + 0) (b) sin(ot + 0)

A:

Q: 2+3 9 y= Arctan( ) 1-2x

A: For the function y=f(x), x is called the input of the function, and y is called the output of the fu...

Q: dv av and ду ди ди 2. suppose f(z) = u(x,y) + iv(x, y), show that əx %3D ду əx ||

A:

Q: sin x cOs x 1 – sin x 2sin x 2 cos x 3 cos x -1

A:

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

A:

Q: Let f be a bounded function on [a, b] and let P be a partition of [a, b]. Let M; and m; have their u...

A: We will be solving Q. 37 as mentioned. Since you have posted a question with multiple subparts, we w...

Q: Use the Monotone Convergence Theorem to show that the sequence {an} converges, where +00 an = 1 - n!...

A:

Q: Find the two values of k for which y(x) = ek is a solution of the differential equation %3D y" – 16y...

A:

Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at home...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: 1. Graph the following set on a number line and express the set in interval notation. {x\x s -2} -10...

A:

Q: Below is an alternative but equivalent definition of the definite integral of f: R R between a and b...

A: (ii) We are given the formula as,  Jnf, a, b=b-an∑k=1nfxk We are asked to calculate J5f, -2, 8 for f...

Q: 1. Perform the indicated operations and express the result in polar form. a. In(5- j6) b. j'. C. log...

A:

Q: Convert 527262746715, to X16 О ААВВСССDD О АВВACCDCD АВАВССDDC О ААССВВDDC О AADDCCСВ О АВАСВСDCD

A: