g(x) = ln (xe³x)

Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

A: Consider the function

Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

A: The given function is

Q: Find the maximum and minimum values of the function y = 8√√x² + 1 - x on the interval [0, 3]. (Round…

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Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

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Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

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Q: Match each trigonometric function with its derivative. Enter the correct letter in the box beside…

A: Given, (A)

Q: Let F = (z, xy, x² + y²). Compute the work done by the force when moving a particle located at the…

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Q: Find the GCF of the expressions. 15a8b(c – 7) and 12a¹⁰b7(7 — c)

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Q: Find the area of the following region. The region common to the circles r = -8 sin 0 and r=4 The…

A: The region common to circles and

Q: Use the special product formulas to perform the indicated operation. (x-4)(x + 4) Need Help? Watch…

A: Given (x-4)(x+4)

Q: Prob #5 A Solve for angles A, B, and C in the triangle listed below. 17.8F+ C 35.2f+ 27.3ft B

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Q: Natural Science. The tallest trees in the world grow in Redwood National Park in California; they…

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Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.08. y = √√3x - 2 Enter…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Determine the derivative with respect to a: In (255)

A: Given, .We know,

Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5x2+7x−4 Enter…

A: To find the average rate of change of the given function on the interval .

Q: Solve e³t = 1800 for t.

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Q: Find the eigenvalue associated with the eigenvector A = Number -[-28] = of the matrix A=

A: The given eigenvector is The given matrix is

Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

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Q: 1. Verify y(x) = c, sin x + c₂ cos x - (cos x) In(sec x + tan x) is a solution to y" + y = tanx. 2.…

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Q: y = esinx. 3 tan x

A: We need to find out the derivative of the given function.

Q: 10. Question: Find h(2) . Assume f(1) = 2, ƒ(2) = 0, ƒ′(1) = 3, ƒ′(2) = 4 . g(x) is given by the…

A: To find . Assume . is the graph given below.

Q: A rectangular tank measuring 1 mx 2 m × 3m initially contains w is being pumped into the tank at a…

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Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Given the surface z = f (x,y) = x³ + 2x² + 4xy+y², (a) Enter the partial derivative f₂ (1,2), 囡囡 (b)…

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Q: Use the special product formulas to perform the indicated operation. (y + 8)²

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Q: the account. Each year the account earns 4% interest, and you deposit $7000 into the accou This can…

A: Given differential equation

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. √13n an =…

A: To determine whether the sequence  converge or diverge.To find the limit if the sequence is…

Q: Let f(x) = x². There are two lines with positive slope that are tangent to the parabola and that…

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Q: Differentiate. g(t) = 14t g'(t) =

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

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Q: Calculate the determinant of A = [³] 55 det (A) = Number

A: Given, If , than

Q: Solve the initial value problem [x²y" + 9xy' +12y = 120x¹ (x>0) [y(1) = 2, y' (1) = 28 given that {…

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Q: Find the derivative of the function. f(t)=√3+ tan(t)

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Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

Q: Differentiate. f(x) = In f'(x) = X 6

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Q: Find the arc length function for the curve y = 2x3/2 with starting point Po(16, 128) s(x) = ||

A: The given function is,The given point is,The lower limit of x is  and the upper limit is

Q: Use the factor theorem to determine if the given binomial is a factor of f(x). f(x)=x²-2x³ +5x²…

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Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

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Q: 1. Evaluate each 2-variable function f : D → R below at the given points. For a point described with…

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Q: Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the…

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Q: Problem 3 Find the areas of the following regions contained in the (x, y)-plane. (1) R = {(x,y) :…

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Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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Q: An office machine is purchased for $5300. Assume that its salvage value, V, in dollars, depreciates,…

A: given function

Q: Find f(x) if y = f(x) satisfies dy dx 108yx¹7 and the y-intercept of the curve y = f(x) is 4. f(x) =

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Q: 5. A = [ 2 3 -1 21]. B. = -4 2 13

A: A is matrix and B is also matrix

Q: Determine the derivative dy da for each of the following equations.

A: (a) y=log8⁡(4)