Find the arc length of the following curve on the given interval. x=8t-2, y = 15t-3, 0≤t≤2 The length of the curve is (Type an integer or a fraction.)

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A: The given function is fx=12x9x2-8

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Q: 3-20 Use the Ratio Test to determine whether the series is convergent or divergent. 16. Σ n= (2n)!…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

Q: Find the solution to the boundary value problem: Y dt2 dy dt +18y = 0, y(0) = 1, y(1) = 9

A: Given equation is the linear equation with constant coefficients.  So first assume the solution and…

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A: We need to find point of discontinuity.

Q: ) Consider the function h(r) What are the inflection points of h(r)? On what x 5 intervals is h(r)…

A: We will find the required.

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A: Here we will find dh/dt,

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Q: 1. y = e²x+3

A: Topic = Derivative

Q: Use logarithmic differentiation to find dy/dx. y=x*-2, x>0 dy dx II Submit Answer

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Q: ver (++)

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Q: Find the volume of the solid formed when the area of the region bounded by the curves x²- 3y-5 and…

A: Solution

Q: How many different 9-digit phone numbers do not contain the digit 9? Assume that any digit in the…

A: Given data÷ How many different 9-digit phone numbers do not contain the digit 9. Assume that any…

Q: Find a power series representation for the function. f(x) = f(x) = R= n = 0 +3 (x-4)² ( Determine…

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Q: Reading Questions: a) According to Part 1 of the Fundamental Theorem of Calculus, which of the…

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Q: A botanist is studying the development of a bamboo plant. She started keeping a log of its growth 25…

A: Total time= 25 weeks Given that the plant has grown an average of 35 inch each week.  So the plant…

Q: Consider the function f(x) = 2x² + 4x - 7. f(x) has a critical point at x = A. Find the value of A:…

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Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

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Q: A rancher wants to fence in an area of 500000 square feet in a rectangular field and then divide it…

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Q: II. Write as an English sentence and determine if it is true or false. 8. VXER, 3YER. x+y=10 9.…

A: 8)  Given, ∀ x ∈ℝ, ∃ y∈ℝ, x+y=10 Solution: For every x in ℝ(Real Numbers) there exist y in ℝ such…

Q: Given that lim f(x) = 0, lim g(x) = 0, lim h(x) = 1, lim p(x) = ∞, lim q(x) p1a z-G z-a 2-a z-a f(x)…

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Q: Question 4 L² (1-1²) ³ds

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Q: Consider the function f(x) = 10√x + 4 on the interval [1, 8]. Find the average or mean slope of the…

A: Given the function is fx = 10x+4 on the interval 1, 8.

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Q: 8. x(x² + 1)y' + 2y = (x² + 1)³

A: Given problem:- xx2+1y'+2y=x2+13

Q: FT [f'lt) = jwF(W) F(w) = jw f(w) => JA -T T tax + √(-_^) -jut e (-A) ²-just, AT Sim ² (WI) WT T A […

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Q: Determine whether the vector field F(x, y) = 5y² (yi+2xj) is conservative. F is not conservative F…

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Q: If f(x) = 4x² - 2x + 7, find f'(3). Use this to find the linear approximation to f(x) at x = 3. The…

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Q: In general, the profit function P(x) of a product or service is defined as the difference between…

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Q: with side length a from each corner and folding up the sides. Find a formula for the volume of the…

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Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A: We can solve this as follows:

Q: Find the limit, if it exists. Ilm x² 3x - 4

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Q: Determine the work done by the force F"(x,y,z)=(x²y,xy). to move a particle along the line segment…

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Q: 6) Assume that f(t) is continuous on [a, b] and that u = g(t) is continuously differentiable on [a,…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry