Find the integral value for the following functions

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 5)8dx

A: Explained below

Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

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Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: Evaluate: S(4sin (x) – 3sec? (x)) dx

A: ∫ 4sinx-3sec2xdx=∫ 4sinxdx-∫ 3sec2xdx=-4cosx-3tanxAdd a constant to the solution=-4cosx-3tanx+C

Q: The Inverse Laplace Transform for 5/3S - 2/ ((3(s+3)) is

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Q: re

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Q: 10 Consider the function f(z). 6. Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(z)

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Q: 3. Find the general solution of the differential equation. y"-6y' +13y = 0.

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Q: Solve e2x + 7ex+6=0 Show every step.

A: Here we have to solve the given problem.

Q: For the polynomial -1/2x(3x + 1)*(x - 10)², find the following: a) the end behavior of the graph…

A: Given:    P(x) = --1/2x ( 3x + 1 )4 ( x - 10 )2

Q: Solve the following problems. 2. At 1:00P.M, a thermometer reading is 70°F is taken outside where…

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Q: Convert the point from spherical coordinates to rectangular coordinates. (9, - =) (x, y, z) =

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Q: equation for the hyperbola with foci (0, ±5) and with asymptotes y = +x. ind an

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Q: Find the differential of each function. (a) y = tan 3t dy =

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Q: The function f(x) : 2x3 – 27x? + 84x + 8 has one local minimum and one loca This function has a…

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Q: 2. Given f(x) = x' + ax² + bx has critical numbers at x=1 and x=3, find a and b. .2

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Q: Prove that lim 1 1 by definition.

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Q: (10 + 5x – 2x³) dx

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Q: 12 12 f(x) dx = 16 and 9. If f(x) dx = 5, find the following. %3D f(x) dx

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Q: The series (-1)"+1 is: n³/2 n=1

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Q: Show that (1-)" =e= %3D Which of the series converge and which diverge. 4n+3 (1) E=14 m%3D1 (-4)"…

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Q: ||r(t) x r"(t)|| ||r'(t)|³ Use the formula k(t) to find k(t). 13 r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk…

A: A detailed solution is given below

Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i - 7j+ k) i+ i j+ i

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Q: Q4) Find for the following functions (- dx Зх +4 %3D 2x+3 6. y = tan-1 V4x3 - 3 %3D

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Q: Question 6 dx Evaluate the integral improper integral (2r – 1)3 A 1/9

A: Given: ∫-∞ 012x-13dx

Q: Question Describe the set S={ x: |(1/2)x-3| > 4 } Select your answer S= (-00, 12] U (14, o] S= (-00,…

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Q: Find the arc length L of the graph of r(t). 1 rt) - i+t j+Vor k, 2<1<5 2 <t< 5

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Q2) Solve the D.E xdy + (2y-x+ 3x)dx 0

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Q: Given below is the augmented matrix of a system of linear equations.

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Q: 'If you have three functions: f(x) = x2 – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and fow(x)…

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Q: 4. Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: We have to calculate indefinite integral ∫{(3x2+6) /(x3+6x) }dx Let us say  I = ∫ {(3x2+6) /(x3+6x)}…

Q: is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}.…

A: Let's find.

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: Q4) Find for the following functions ( dx 3x+4 5. y = 2x+3 6. y = tan-1 V4x3 – 3

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Q: dx Va - x2 we may use x= and dx= substitutions to reduce the integral to San do. This step requires…

A: To complete the following statements.∫dxa2-x2we may use x=? and dx=?substitutions to reduce the…

Q: sec(tan(2x)) – 4 6. dx (cos(2x))? 8. / e*-* dx T e3x-e3x

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Q: Find S(sin20cose + cos30)d0

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Q: Find fr(x, y) and fy(x, y) given f(x, y) = tan x· cos os(x² – y?).

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Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Let's find.

Q: Evaluate the integral and interpret it as the area of a region. 6x + 7 - x dx 55, 55 - 32 9 9 Sketch…

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Q: 1. メーメー2 xペー5x+6

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Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t→+∞ \ 3t2 +4’ 6t (?, ?)

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Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: In Exercises 1-3, find the general solution of the differential equation specified. dy 3. 2t 1+ 124…

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Q: Determine the value of c for which lim (1 + 2,5n = ell n-00 сп

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