Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. (cos (n))² an = lim an

Q: Step 4 Thus, (x x cos(8x) dx =

A: To solve the following problem

Q: andard fencing

A:

Q: Find the area of the region that is enclosed by the cardiod r = 10 - 10 sin 0. NOTE: Enter the exact…

A: Given:       r=10+10sinθ  Area of cardiod A=∫∫Dr dr dθ…

Q: Jinny and Bing You has a total of 172 dollars. After Bing You spent 1/4 of his money and Jinny spent…

A:

Q: d d alculate ——[r₁(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt he product…

A:

Q: Quiz 2.2- Integration by Substitution Evaluate the following and post your answers in the g.…

A:

Q: Evaluate the given surface integral a) ff x² ds where S is the unit sphere: x² + y² + z² = 1 b) ff…

A:

Q: Find the volume generated when the area in this problem (Find the volume of the solid generated when…

A: Follow the procedure given below.

Q: th is the graph of the original function and which is the graph of the derivative? g f is the…

A: Given the query is to find which graph is  function and which one is derivative.

Q: Suppose that the profit a company makes from selling x units of a product is given by : P(x) = -2x²…

A:

Q: Solve the differential equation * 49 - 13d +6y=0 d³y dx3 dy dx

A:

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Solving

Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

A:

Q: 3. Find the area of the band cut from the paraboloid x² + y² -z = 0 by the planes z = 2 and z = 6.…

A:

Q: 3 We were given that = 1²ex dx = @³² = e. 3 3 Therefore, •L²³ ex+ 5 dx = 20²³ [²³ ex α 2e5 dx =

A:

Q: The Bernoulli's form of the differential equation x³ydx +(3x² − y³ )dy = 0 is

A:

Q: '1+tanx Evaluate the integral 1-tanx dx A In sinx-cosx + C B -In cosx+sinx + C C -In cosx-sinx + C D…

A: Here, to evaluate: ∫1+tan x1-tan xdx

Q: Compute the surface integral over the given oriented surface: F=y³i+7j − xk, portion of the plane x…

A: We need to find surface integral.

Q: Find the volume of the solid generated when the area bounded by the curve y^2 = x, the x-axis and…

A:

Q: 4. f cot³ 2x csc¹ 2x dx = f cot² 2x csc4 2x cot 2x dx = f(csc² 2x - 1) csc* 2x cot 2x dx Let u =…

A:

Q: Find all solutions of the equation in the interval [0, 21). COS +1=0 2x 3 Write your answer in…

A: This is a problem related to trigonometric identity. Based on the given interval and function…

Q: Solve the following differential equations 1. (D^2 - 3D +2) y = 2e^-x + 8 2. (D^2 - 4) y = 8e^2x -…

A:

Q: Express the limit as a definite integral on the given interval. lim Σ Σ x;* -ΔΧ, [1,4] 0-700 (x;*)2…

A: To express the given limit as a definite integral.

Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

A:

Q: For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h…

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis…

A: Solution is given below:

Q: Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent,…

A:

Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

A:

Q: Find a simple closed curve Cwith counterclockwise orientation that maximizes the value of { v²dx + (…

A:

Q: Victoria is skiing on a circular ski trail that has a radius of 1.2 km. She starts at the 12-o'clock…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let f(x) = √√√x – 2. a) Find f(x + h): b) Find f(x + h) - f(x): c) Find_f(x+h)-f(x). h d) Find…

A: We have to solve multiple part

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A:

Q: 3) Suppose g(t) = 1/t represents the position, in meters from the starting point, of some object…

A:

Q: Write the equations in cylindrical coordinates. (a) 4x² + 4y² - z² = 9 (b) 7x - y + z = 3

A:

Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.

Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

A: topic - trigonometric ratios sec θ=1cos θ=hypotenuse basecos θ =base hypotenusecot θ=cos θsin…

Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A:

Q: 3x a) fx5e³x dx 2x² + 3 c) f x(x − 1)² dx TU b) f sin³ xdx 4 d) f tan5x sec³x dx

A:

Q: Solve the following X 1.0[₁-2x] i. D ii. D[xln (2x) ] iii. D[cosx – 3 sin (2 x) ]

A:

Q: 3. In evaluating the integral ſ x²dx (x-1)²(x²+1)' you will decompose x²dx (x-1)²(x²+1) into simpler…

A:

Q: Find the coordinates of the point displayed on the graph. ✓ Previous ZA

A:

Q: -1 Evaluate |x|√ 1+ 25 A csch ¹1x + C 1 B Ⓒcsch-15+C dx csch=15+C

A:

Q: 13. What is f2sinx cos x dx? 2cos.x A. +C In 2 C. 2cos.x B. +C In 2 D. 14. Which of the following…

A:

Q: Let f(x) = x² - 1 on [-2, 3], Part A: What is the slope of the secant line connecting the function…

A:

Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

A:

Q: For f(x) = √x+1, find ƒ'(x) using the definition f'(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using this,…

A: TOPIC -derivative using limits and equation of tangent line

Q: A toy racecar moves along a circular race track with a radius 2.6 feet long. The car starts at the…

A: Let's find.

Q: 3x hp Find for 2 Әх (2x + 3y) 5. Select the correct answer below: 15(2x + 3y) O 10(2x + 3y)4 О Зу 2x…

A:

Q: x² x-o ex-x-1 Evaluate lim А A) 0 B) 1 C) 2 D ∞ by applying L'Hôpital's rule.

A: find limit using L hospital rule option C correct answer

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 - x²…

A: