the radios of Cnvergente and the lInterval of conergence of the Pouer series (x-2)" n2 +1

Q: Answer the questions for the following polar equation. 3 r 3= 3+10cos0 (a) Identify the conic as a…

A:

Q: 3z+1 Evaluate: S xp- 6z² -14x-12 ○ 륵m6z-21 + 흉mz + 6| +C O 음l미2z-6|+ n3z + 2| + C ○ f미3z-4|-3n 2z +…

A:

Q: Find sin 0, cot0, and csc0, where 0 is the angle shown in the figure. Give exact values, not decimal…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain.

Q: In x 6. lim, x

A: Solution:

Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

A: Given query is to find the value of expression.

Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Find the norm (or length) of v = <-2, 3)

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 1 n Vn8 + 4…

A:

Q: Use the following series in determining the IOC and ROC. The summation of [(7^n)/(n+5)](x-4)^(n+2)…

A: Given  problem:- Use the following series in determining the IOC and ROC. The summation of…

Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: e. Write a couple of careful sentences that describe the behavior of the temper- ature of the potato…

A: The given table is: t 0 15 30 45 60 75 90 F(t) 70 180.5 251 296 324.5 342.8 354.5 We have to…

Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

A:

Q: Find the inverse Laplace transform: 1 (s(s² + 1).

A:

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

A:

Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

A:

Q: Find the radius of cunvergen le and the interva) of convergence Of the Dower series n3n

A: Use the ratio test for checking the convergence .

Q: Assume lim f(x) = 14, lim g(x) = 6, and lim h(x) = 5. Compute the following limit and state the…

A: We can answer and explain the answer as below.

Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

Q: A particle is moving in a straight line according to the position function s(t) = t° – 6t2 +9t + 5,…

A:

Q: Suppose f(x) = x² – 10x + 1. Compute the following: - A.) f( – 2) + f(4) = B.) f( – 2) – f(4) = -

A: Given query is to find indicated function value.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given: f(t)=-16t2+444t+8

Q: y" –3y – 2y=0; x =0,y=0, y' =9,y' =0

A:

Q: EX2 Compute the secand erder partial Jerivative Fx ち,ち~ and a)

A: " Since you have asked multiple  question we will solve first one for you. Please ask specify…

Q: Find V · (F × G), if F(x, y, z) = 3ri+j+6yk and G(x, y, z) = xi+ yj – zk. V· (F × G) ||

A:

Q: csc(6x) 7. lim x- csc(2x)

A:

Q: d d. Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly…

A: r1(t)=9t i +9t2 j+6t3 kdr1dt=9 i +18t j +18t2 kr2(t)=t4 kdr2dt=4t3 kr1(t)·dr2dt=(9t, 9t2, 6t3)·(0,…

Q: Given Cost and Revenue functions C(q) = q° - 8q + 52q and R(g) = - 3q + 2500q, find the quantity…

A:

Q: et +e-* find the length of the curve h(x) = from x = 0 to x = In 2. 2

A:

Q: Set up and simplify the integral that gives the surface area of revolution generated by rotation of…

A: Given; y=x-x^2, 0≤x≤1

Q: Here is a review question, do you remember how to find tangent lines? Find the equation for the…

A:

Q: 25. The graph of y = a* +b is shown below. Find the EXACT values of a and b. 6- (2,5) 4- 2- y = a*…

A: This question is based on substitution of points.

Q: QUESTION 10 If you have $51,000 in student loans at an interest rate of 3%, compounded monthly, what…

A: Solution:

Q: The graph of f consists of line segments and a semicircle. Evaluate each definite integral. f(x) •…

A:

Q: - 0.26t ng If C(t) = 53.3t e measures the concentration, in of a drug in a person's systemt hours…

A: Given query is to find the time when concentration will be maximum.

Q: QUESTION 5 From a list of 13 recommended stocks at your brokerage, you want to select 4 of them to…

A:

Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

A:

Q: Зх+1 a) y =- 1 b) g(x)= Vx -

A:

Q: 25) pind te ered af formed by reusiviny the circie fue su face = 10 cose cbort tue line o= 2 2 a)s…

A: Option C is true

Q: nt P(p, 1), where p>0, lies on the curve x² + 2x ulate the yalur of n

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Water is being poured at the rate of 2z m' /min into an inverted conical tank that is 12-meter deep…

A: We need to find rate of water leaking.

Q: Find the general solution to the ollowing differential equations: (A) y = 2yx(y'+3)+13x %3D

A:

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

A:

Q: y2- 4y + 2x = 0, x = 2 and x-axis

A:

Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

A: Given problem:- Find dy/dt for the parametric curve c(t) = (t-1 - 5t, 4t3) at the point t = −2.

Q: (4) Evaluate each of the following indefinite integrals. r+2 (a) r² + 2r + 1 -dr (b) cos(2r) cos(r)…

A:

Q: The figure to the right shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4,…

A: To find the value of the  given integral .

Q: 17) Find the area of te senface genereted by revolving the curve X=3¢, y= 2f about fue x-qxis on tue…

A: