Find the arc length of the curve below on the given interval. 1 3/2 y = 72/7 (9x² + 6) ³₁ on [3,9]

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Q: 3. Write the first five terms of the sequence given by an = (-1)" (2n + 1). Show all work. Write…

A: given  an=(-1)n(2n+1)for a1, put n=1

Q: 2. If V = ху (x2+y2)2 and x = r cos0, y = r sin0, show that + a2V 1 2V др2 r ər 1 02v r2 дөг = = 0.

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Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an = n 7⁰…

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Q: 2) lim x → 0 cosx−1 sin x

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Q: 1. The function y = 6(x - 1)*(x-2)²(x + 1) Changes sign at a. x = 1 b. x = 2 c. x d. it does not…

A: from bartleby policy we supposed to do only first part of multiple questions (1)…

Q: What values of a and b make the function f continuous everywhere? a= and b = f(x) = x² x ax² 12x -…

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Q: Evaluate the integral using Integration by Parts as a first step. sin -1 (x) 5x² dx (Express numbers…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an = 7 11 15…

A: We are require to find the nth term of the sequence 71,112,156,1924,23120,...

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Q: For the curve given by ind the following: dy 1. = 3²-3 2. de = 4t 3 3. d 4. d 3 4t Determine the…

A: Given query is to find indicated derivative.

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

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Q: Find the derivative of the function. dy dx y = 3xe 4x || - ets

A: To find the derivative of the following function. y=3xe-4x-ex4

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Q: TOPIC 1: Implicit Differentiation Q. #1 For 2r-y-5=0, please find dy in two ways: dr a) using…

A: We can solve the given problem by using the implicit differentiation and direct differentiation…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 295 +0.9x and R(x) = 7x…

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Q: Suppose f = f(g, h), g = g(t), and h = h(t). Find df/dt when t = 2, given the following. g(2) = -9,…

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Q: Learning Target D1: I can find the derivative of a function, both at a point and as a function,…

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Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given…

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Q: 9. Given the function f(x) = x³ - x and g(x) = x - 1, determine an equation for the the combined…

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Q: Let ƒ(x) = 4x + 3x². Compute the difference quotient f(x + h) − f(x) h and simplify it so that it…

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Q: Which of the following graphs exhibit ALL of the listed properties: lim f(x) = -1, x x ● lim f(x) =…

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Q: th Find a formula for the n™ partial sum of the series 4-=+ 7+ 49 343 OA. The series is convergent,…

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Q: If a ball is thrown in the air with a velocity 42 ft/s, its height in feet t seconds later is given…

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Q: Determine the exact solutions for x on the interval [0,2π). This problem has inverse trig in the…

A: Given trignometry equation sin( 2x ) = 45

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: (a) Find the slope m of the tangent to the curve y = 4 + 5x² - 2x³ at the point where x = a. m = (b)…

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Q: (d) At which points, if any, is f(x) continuous but not differentiable? State x-value of any such…

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Q: Suppose that f is a function such that lim-[f(x) - 2x²]= π. Determine, if possible, lim 118 x² +1'

A: Suppose that f is a function such that, limx→∞fx-2x2=π.  To determine, limx→∞ fxx2+1, if possible.

Q: Find the exact coordinates of the centroid for the region bounded by the curves y=x, y=1/x ,y=0, and…

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: we supposed to do only first part of multiple  I=∫xcos(5x)dxu=xdv=cos(5x)dxwe know that…

Q: *cos(√x) dx Socos (√x) dx= -3 n=0 -05 x (-1)" (1-(0.5)"+1) (n+1) 2 05 0.5 1 1.5

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Q: Which one of the following is the solution to the Initial Value Problem: y = (y² − y) (2x + 5 y(1) =…

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Q: Solve the differential equation given below. dy/dx = y(8 - y) y =

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Q: Calculate the integral, assuming that √5 ƒ(x) dx = 2 and ³ g(x) dx = 3. (Give your answer as a whole…

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Q: Use technology to examine each function numerically and graphically. Find the limit as x tends…

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Q: Consider the following polar curves: r = 1 cos 0 r = 1 - sin 0 (a) Find the points of intersection…

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Q: th 3 3 Find a formula for the nn partial sum of the series 3 - - + 2 4 the series' sum if the series…

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Q: Write an equation for the graph in the form y = a(x - h)² + k, where a is either 1 or - 1 and h and…

A: Topic = Parabola

Q: The slope of the secant line of the square root function at x=4 and x=9 is Enter your answers in…

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