Consider the geometric series Σ (-3)» +1 n=0 a) ): What is the first term of the series First term= b) sl: What is r = c) J: Find its sum: Sum=

Q: | Consider the DE: x²y" – 4xy + 4y = 0. A) Verify that y = c1x* + c2x is a solution of the DE. B)…

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Q: y A y = f(1) 4. The graph of f(x) is shown in the figure. Let A(x) = Lf(t) dt and F(x) = S* f(t) dt…

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

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Q: Consider the equation below. f(x) = x7 In x (a) Find the interval on which f is increasing. (Enter…

A: We have to calculate first and second derivative to solve the problem

Q: Write  z1 and z2  in polar form. z1 = 7 + 7i,  z2 = 16

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 17 Σ…

A: Given query is to find series converges or diverges.

Q: Mary Katherine has a bag of 3 red apples, 5 yellow apples and 4 green.apples. Mary takes a red apple…

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Q: x =r' +1, y=r -t = t° a) Find dy/dx Show all your work.

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Q: The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) =…

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Q: After a new firm starts in business, it finds that its rate of profits (in hundreds of dollars per…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (9,…

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Q: find the afproyimate Value of

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Q: Use hyperbolic functions to parametrize the intersection of the surfaces x2 - y = 9 and z = 5xy.…

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Q: Find the tangent lines as directed. To the ellipse x²+4y²=8 parallel to the line x+2y=6.

A: Given query is to find the equation of the tangent.

Q: find the approyimate Valueof:

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Q: Consider the following function. (If an answer does not exist, enter DNE.) h(x) = (x + 1)5 - 5x – 2…

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Q: need to be shown how to work this problem sumation where n=0 to infinitive than solve      3^n /…

A: Topic:- function

Q: Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is…

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Q: 4+6 n i) The sequence {- -} is bounded by 6 n <n< ii) The 20 th. element of this sequence is

A: We can solve as follows

Q: Find the 5th degree Taylor Polynomial centered at x=0.  sin(2x) ln(1+x)

A: Given that    sin(2x) and ln(1+x) To find 5th degree Taylor polynomial centered at x=0

Q: 3. A sector of radius 10 cm and angle Oradians is bent to form a conical cup as shown: ignore the…

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Q: Consider the parametric equations below. x = t2 − 2,    y = t + 3,    −3 ≤ t ≤ 3 (a) Sketch the…

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Q: If m s f(x) s M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: (2) find integrals S tanX dx

A: ∫tanxdx here is the direct formula of tanx = ln(cosx) +c

Q: Find the tangent lines as directed. To the ellipse x²+2y²=9 perpendicular to the line 4x-y=6

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Q: 3. %3D Find an equation of the hyperbola that has foci at (0, - 15) and (0, 15), and asymptotes y=…

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Q: Find the reference angle e'. e = -235° e' = 55 Sketch e in standard position and label 0'. y y

A: To find the reference angle θ' for the given angle.θ=-235°To sketch θ in standard position and to…

Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/6 – x (a) Find the…

A: I am attaching image so that you understand each and every step.

Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

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Q: V9 – 4x2 x2

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Q: (a) y =-2x2 + 8x + 25 (c)

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Q: Develop vector and parametric equations for the line through (7,2,-1) and parallel to r = (4,7,0) +…

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Q: If 0 = then %3D sin(e) = cos(0) = CO: !3! Give exact values. No decimals allowed! V2 With functions…

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Q: Evaluate the integral. 4 f(x) : 16 – x2 if -4 < x < 0 0 < x < 4 f(x) dx where if

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Q: A food company distributes its tomato soup in two cans of different sizes. For the larger can, the…

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Q: Given the differential equation y' =7x - 4y and y (0) = 6 and its next few implicit derivatives y" =…

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Q: 3– 2n For s,= determine the convergence or divergence of the sequence (sn). Find any 7. 1+n limits…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: nd the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

A: Given query is to find the amount of annuity.

Q: finite difference du n. = 0 en 0 0; dx² - u(0, t) = u(2, t) = 0, 0 < t; %3D u(r, 0) = sin x, 0<x <…

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Q: b. f(x) = xe-*, g(x) =; -1<x< 5. Show in a single space. 2x

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Q: 3. Identifying curves For each of the sets of parametric equations, eliminate the parameter to get a…

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Q: (f) Suppose that the fundamental group of X is Z and p(xo) is finite. Find the fundamental group of…

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Q: and write your answer in summation (sigma) notation. Then write down the first three non-zero terms…

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Q: f(x) = 12x + x - x°, g(x) = 0 ... The area is (Type an integer or a simplified fraction)

A: Given query is to find the area of the shades region.

Q: Given the following question complete the integral and give the solution: Problem 1. Evaluate , S,…

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Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

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Q: n y = -5e0.

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Q: Find the exact length of the polar curve. r= theta, 0<= theta <= 3(pi)/4

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