Find the derivative of the function y = 4 sec¹ (x + 2). (Use symbolic notation and fractions where needed.) y =

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A: A detailed solution is given below.

Q: 3. I Graph of f Graph of g The graphs of the functions f and g are shown in the figures above. Which…

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Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

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Q: Using Linear Equation, find a general solution of: dy x x - y - 5x4 3x² + 2x = 0 dx

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Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

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A: Here is the solution:

Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

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A: According to the company rule we can answer the first question and rest can be reposted.

Q: A river is 2 km wide and flows at 6 km/h. Anna is driving a motorboat, which has a speed of 20 km/h…

A: In this question we have to find the solution for the following statements.

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Q: ·S In (x) √xln(x)-x =dx

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Q: x fare cos = dx 2

A: Indefinite Integration

Q: b. The formula A(t) = 19.6e0.0138 models the population, A(t), of a US state in millions, t years…

A: Given: At=19.6e0.0138twhere At denotes the population in a US state in millions, t years afterthe…

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Q: B (2x + 3y² +42³) dV, where B = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ #≤ 3} 08 192 170

A: dv = dxdydz And put the limit of integration.

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A: Let's solve given diffrential equation.

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A: The integral is  ∫xx2-3x+2dx

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A: Given function f(x) =2 cos x - cos 2 x    ; [0, 2π]

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A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

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A: We can answer the question as below.

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A: Let's solve limit problem.

Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Hos solv the step? 0.10.9062cos (1-√√/3x) d x [sin (1. (3x) 3 sin (1-√√3a) - sin (1-√3(-0.1)) sin…

A: To find the given step how to came from the above step

Q: Let ( 3x² + 2, f(x) = { 2x - 3, be a piecewise function. Evaluate 5 Sof(x)dx= 3 if x < 3 if x ≥ 3

A: The given function:fx=3x2+2if x&lt;32x-3if x≥3.We need to find ∫35fxdx.

Q: O False

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A: This question is related to vectors, we will solve it using given information.

Q: 0.10.9062cos (1-√√3x) d x 6 DL 11 2

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Q: dy (8) The solution of differential equation: + y = xy³ is dx (a) = x + ²+ce²ª, y (b) = x² + + ce²x,…

A: Using differential equations

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Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

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Q: (b) Show that y = 3e²x + e-2x - 3x is the unique solution of the initial value problem y" - 4y =…

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Q: 2л 1. The region R is bounded by the x-axis, x = 0, x=- 3 A. Find the area of R. 3sin(). 2 and…

A: Given:

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Q: (A) 3y²ex+y²dx (B) 3) [3y²e²+ y² dx 0

A: In both integration we have to integrate with respect to x . So we treat y as a constant &amp; solve…