A) 3.14 B) 3.19 C) 3.23 D π dT Consider the differential equation x dx of T (2) ? +T=e* with T(0) = 1. What is the approximate value

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A: g(x)=x2-2xx2-4x+4    , x<25                 ,x=2x2-2x-8x2-5x+6      ,x>2

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A: See this solution in below.

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A: The given equation is; 6x2-13x-5=0

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A: Given; Limx-5(x+5)/(x2-25).

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Q: Find the partial fraction decomposition of -6x - 16 x² + 6x + 8

A: -6x-16x2+6x+8

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A: Given

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Q: Evaluate the indefinite integral S -10x² √1 1-x dx

A: To evaluate the integral

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Q: 11) If f is a continuous function such that f(2)= 6, which of the following must be true? f(x)-f(2)_…

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Q: Solve the equation. A. x+9=-12 C. -0.3+r=4.7 B. -8+k--17 D. +3m= 12m

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: er linear equation in the form y' + p(z)y = f(z) can be solved by finding an integrating factor μ(z)…

A: we will find the required.

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Q: 3) -) :) [-1, 8] minimum maximum (4,9] minimum maximum (0,8) minimum maximum [4, 10) minimum maximum…

A: We will find the required.

Q: Sove edx + e - X a. e²y In |x| = C b. e²(x+y) = C c. 2x + 2y = C d. e2x = C - e²y dy = 0

A: Solve DE

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Q: y= x +1 x+x

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A: Let's solve given integration.

Q: = lim r++m et + ex et - e-x

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Q: Problem 8. (c) 2 (In (x))² dx Calculate each of the following integrals. Show all work!

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Q: e. lim n→∞ n k=1 4k ( n² - ) ) = n

A: Given : limn→∞∑k=1n4kn2−8n

Q: tangent

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Q: [₂ (1-x-4x³. -2 •3 0 0 (1 − x − 4x³ + 2x5³) dx (5 + 3 cos x) dx 3 x² ex dx

A: Given that  some integration and we solve these integrations by using general property of…

Q: 23. 3y(x² − 1) dx + (x³ + 8y − 3x) dy = 0; when x = 0, y = 1. ANS. xy(x² − 3) = 4(1 — y²).

A: Given differntial eqution, 3yx2-1dx+x3+8y-3xdy=0                      ...(1)

Q: For the curve 2² - 4xy² = y³ +9, do the following:

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Q: f(x) = {in(atsine) at find f'(x)

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Q: Suppose the demand for a certain brand of a product is given by D(p) = 352 find the demand function…

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Q: Find g'(3) given that f(3) = -2 and f'(3) = 4. a. g(x) = 3x² – 5ƒ(x) 2x + 1 b. g(x) f(x) . . e

A: Solution is done in steps

Q: Find the derivative: Y = y' - 10 sin(x) + 3 5x9 - 2 =

A: The given function is y=-10sinx+35x9-2 We have to find the derivative of the function

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A: The graph of the function fx is To evaluate: The arrangement of f'(1), f'(2), f'(3) and f'(4) from…

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Q: Solve the inexact differential equation y dx + (2xy-e-2) dy = 0.

A: The given differential equation is; ydx+(2xy-e-2y)dy=0

Q: Calculate y" and y". 8ex X y(x) = y" (x) = y"" (x) = [

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Q: Find parametric equations for the normal line to the surface at the indicated point. (Recall that to…

A: Here we have to find the parametric equations for the normal line to the given surface.

Q: In this problem you will calculate the area between f(x) = 5x + 9 and the x-axis over the interval…

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Q: (3) For the function y = x² + 11x – 12. (a) Find the derivative of this function and use this to…

A: Solution