Find the maximum or minimum value of the function. h(x) = x2 + 6x – 2 h(x) = Is this a maximum or minimum value? O maximum value O minimum value

Q: (x +3)² dx x + 3 Evaluate %3D +9 In(¤ + 3) – 6(x + 3) × (Don't forget to include the constant 2 of a...

A: Topic = Integration

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Q: You deposit $1100 in an account with 5% annual compound interest. Complete the following, assuming y...

A: Given query is to find the time rate of change of amount will be $170 per year.

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Q: 2. For each of the following statements, determine if they are true or false. In either situation, e...

A: a) False Explanation - For any function f, which is differentiable on interval [0,1], it is possible...

Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P...

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Q: Solve the given differential equation. x²y" – 6y = 0 y(x) =

A: Let x=ez ⇒z=ln(x)⇒dzdx=1xSo, dydx=dydz*dzdx=1xdydzSo, d2ydx2=ddx(dydx)=-1x2dydz+1x2d2ydz2

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: Solve the differential equation by variation of parameters. y" + y = sin x y(x) =

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Q: Y = (7x³ + 3)6 ;y"

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Q: decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the am...

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Q: (Don't forget to include the constant of da x + 3 antidifferentiation C) Evaluate

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Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

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Q: b. dx ans: 2

A: As per bartleby guidelines we only give first question answers. 

Q: Use the method of Laplace transforms to solve d2f/dt2 + 2 df/dt + 5f = 0, f(0) = 1, f'(0) = 0

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable 'y' for '...

Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

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Q: Solve the given differential equation. x?y" + xy' + 36y = 0 y(x) : ,x > 0

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Q: Consider the following. (5x? - 4)4 y Let u(x) = (5x2 - 4) and v(x) = x. Find each indicated derivati...

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Q: Suppose that the functions q and r are defined as follows. q (x) =x? +9 r (x)= /x+8

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Q: e the ratio test to determine whether the series converges or diverges. If the test is inconclusive,...

A: Topic:- series convergence test

Q: 17. Find all local maxima, local minima, and saddle points for the function: f(x, y) = x³ – 6x

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Q: Find the product of the given complex numbers in polar form. 3 (cos +i sin 푸).4 (cos (-표) + isin (-표...

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Q: A painting contractor charges Php 120 per sq.m. for painting the four walls and ceiling of a room. I...

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Q: n-1 9. Given the series - 8 n=1 Does this series converge or diverge? O converges O diverges If the ...

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Q: Find the exact value of each expression (enter answers in radians). sec-1(2/sqrt(3)

A: let x=sec-123secx=231cosx=23Taking reciprocal on both sidecosx=32   we know thatcosπ6=32  ⇒π6=cos-13...

Q: You deposit $2000 in an account with 3% annual compound interest. Complete the following, assuming y...

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Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: Solve the differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: 4x +1 Find the inverse of f(x) 2x + 3 f (x) = Question Help: D Video Message instructor D Post to fo...

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Q: If f(x) = 4 sin '(2), f'(x) =

A: The given function is f(x)=4sin-1x5  .................................... (1)   

Q: Solve the problem. Show illustrations. Find the dimensions of the right circular cone of greatest la...

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Q: dx x2 – 64 First, rewrite this with partial fractions: S, da = f 1/(x+8) dx + [ 1/(x-8) dr = log(x+8...

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Q: 4х — 7 TI Let f(x) Find the open X + 2 intervals on which f is concave up (down). Then determine the...

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Q: (e* + y)dx + ( 2+ x + ye )dy =0

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Q: In each of the following problems verify that the given function satisfies the given homogeneous dif...

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Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cos t î + sint ĵ+ k.

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Q: IF= x2enx

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Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: If f(x) = (5x +6) find f'(x). Find f'(3).

A: topic - derivative of a function

Q: find the maximum value that f(x, y, z) = x^2 + 2y - z^2 can have on the line of intersection of the ...

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Q: 5. Determine the following limits. If infinite, specify co or - 0o. If an answer does not exist, exp...

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Q: dy Solve: (e +e-²)- = y? (separation of variables) dx

A: We want to solve the given differential equation.

Q: Test the series below for convergence using the Ratio Test. n2 0.8 n=1 The limit of the ratio test s...

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Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with are...

A:   y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P...

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Q: Consider the second-order, constant-coefficient, linear, homogeneous ODE ay" + by' + cy = 0 where a,...

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