Des the sequence faf converge if the Sequence is convergent. OL or a₁ = 1 + (-1)^ diverge? find the limit

Q: * Find the general Solution of :- - Cotx dy dx

A: To find the general solution we need to integrate the solutions of both sides w.r.t. to x;

Q: 5. Determine the volume of the solid obtained by rotating the region bounded by z = ³ - 5y² and the…

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Q: The graph of the first derivative of p(x) is shown in the graph below. Use the graph to answer the…

A: The graph of the derivative function is given.The aim is to find the interval at which the function…

Q: f(7) = 18 and n: S 0. f'(0) de = [² 10 0 f(y) dy = -10

A: f(7)=18 and ∫07f(y)dy=−10I=∫07θ⋅f′(θ)dθUsing Integration by Parts∫udv=uv−∫vdv

Q: Öz Given z = sin(y) where a=t+u and y=t-u, find Ot What is the formula for ✓ Find Oz Ət dz Ot : 8z…

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Q: Express the limit as a definite integral on the given interval. 72 Part 1 of 2 lim Σviln(2 + x) Δ.,…

A: The definite integral  can be written in a limited form on the interval [a,b] as

Q: Tutorial Exercise Consider the given function. f(x)=4- Evaluate the Riemann sum for 2 S x S 14, with…

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Q: Solve the following integration :- 6 dx | (X-4)(+7)

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Q: Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf…

A: We have to find the value of the limit to evaluate the integral.

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 1-4 A) lim 2/2+1 B) lim x-0 Question 4.22)…

A: a) limx-infinity x[arc(tanx)-pi/2]According to Bartleby guidelines we solve only one question repost…

Q: f(x) = 2 +7 cos(x), 0 ≤ x ≤ 2π

A: The given function is

Q: For t> 0 hours, let r(t) = 120 (1 - e 5 liters/hour hour, at which a car travels along a straight…

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Q: Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the…

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Q: Find the values of a and b such that a = b + [¹ f(x) dx − [*f(x) dx = f*f(x) dx. - 11

A: Given,

Q: 4. Here is a graph representing a function of the form f(x) = a b*. Find the values of a and b. Show…

A: The exponential function is

Q: Apply the substitution using steps 1 and 2 and rewrite the integral in terms of 0 4 -[(1 cos eX(+/5…

A: We have to apply the substitution using step 1 and 2 and rewrite the integral in terms of…

Q: Your velocity is v(t) = ln(t² + 1) ft/sec for t in seconds, 0 ≤ t ≤ 2. Find the distance traveled…

A: Velocity is v(t)=ln⁡(t2+1)ft/sec for t in seconds, 0≤t≤2.

Q: 3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain:…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Find the general Solution of . T NOTINTOS dy dx = 2 x e x²²

A: dy/dx = x2

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = x² - 6x on the…

A: F(x) = x2 - 6x Interval [ -2 , 4 ]

Q: Approximate the area under the graph of f(x) = 0.05x -3.24x+87 over the interval [3,11] by dividing…

A: The given function is The left endpoint sum

Q: PRACTICE vested at a rate of r = 6% compounded annually, monthly, daily, and continuously. (Round…

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Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied for ƒ(x) = √√x + 16 on the…

A: To verify that the hypotheses of the Mean-Value Theorem are satisfiedfor  on the interval , and to…

Q: Evaluate the integral by interpreting it in terms of areas. L² (3x-14) de Part 1 of 3 We are…

A: To evaluate the following integral by interpreting in terms of areas.

Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic…

A: Let r be the radius of the balloon and V be the volume of the balloon That is we are to find the…

Q: Each of the regions A, B, and C bounded by the graph off and the x-axis has area 3. Find the value…

A: Each of the regions A, B, and C bounded by the graph of and the x-axis has area 3.To find the value…

Q: Determine the volume of the solid obtained by rotating the region bounded by y = x² - 4x + 5, x = 1,…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Problem 20.3: Evaluate the derivative of an inverse function at x = a The following function is…

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Q: 4. In this question we will consider the transformation given by the formulas and y = u-v. (a) What…

A: Changing of the independent variable.

Q: A box is to be made out of a piece of cardboard 6 meters by 16 meters. Squares of equal size will be…

A: A box is to be made out of a piece of cardbord  meters by  meters. Squares of equal size will be cut…

Q: 27. f(x) = 1 x² + 1 2 on [-1, 1)

A: Average value of f on [a,b]fave =1b−a∫abf(x)dx

Q: Find the exact coordinates of the centroid of the following semicircular plate. Show all steps…

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Q: 10) tan x = 3.7 A) 1.31, 4.45 1.31, B) 1.31, 2.88 C) 1.31, 4.97 D) 1

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Q: 2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that…

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Q: Compute JJJ³ 32² dV, where W is the solid sphere x² + y²+z² ≤4.

A: Computewhere  is the solid shpere

Q: B) y(x) = 2+x

A: I have appended the formula used in solution procedure

Q: Solve the rational equation. YOU MUST SHOW ALL OF YOUR WORK!

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Q: If the marginal revenue for ski gloves is R'(x): = -0.7x + 40 and R(0) = 0, find the revenue…

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Q: You now have access to the data for the research project. In this experiment, some cells have been…

A: From the  given statement.

Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

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Q: Verify that the general solution satisfies the differential equation. Then find the particular…

A: Given general solution is .......(1)

Q: A particle starts from rest at the point (2,0) and moves along the x-axis with a constant positive O…

A: We have to find the graph of the distance of particle as a function of time.As we know that-As given…

Q: Trust Fund A deposit of $20,000 is made in a trust fund that pays 5% interest, compounded…

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Q: 3+x 4. (a) Find a power series representation for the function f(x) = is the radius of convergence?…

A: The given function is

Q: Find the total-cost function, C, assuming that C(x) is in dollars and that the total cost of…

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Q: -example 3- Use an appropriate linear approximation to approximate the value of √26.2. Draw a…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: To find the slope of the tangent we need to find dy/dxThen find dy/dx at t=pi

Q: Find the local maximum of f(x,y) = xy(1-x-y) Find the critical point(s) and check the value of D = f…

A: given function

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 2y³/2 i + 3x√√y j…

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