Find the relative maximum point: 1. Given the function f(x) = x3- x2, a relative maximum point occurs at x = (?)

Q: Use a table of integrals to evaluate the following indefinite integral. The integrals may require…

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Q: Match each function with its derivative. f. 7. cos(x) + 8 X Y • x² + 3x 2.8 +7√x 4 sin x + x x7 . .…

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Q: f(x)=3x2+2x-5 g(x)=x2+7x-2 7 A BI

A: Given query is to solve the system of equations.

Q: Determine where D is the region enclosed (5, 0, 0), (0,3,0), (0, 0, 3), by the tetrahedron with…

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Q: Find the arc length of the curve below on the given interval. y=2x³/2 on [0,9] Which of the…

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Q: Find the limit algebraically. lim h→0 f(-6+h)-f(-6) h where f(x) = - 8x² + 8x - 7

A: see below the answer and calculation

Q: Subject: Calculus Topic: Limits and Increment method of differentiation. I. Limits A. Evaluate the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Find the indefinite integral [9x (7-x¯5) dx. 9x (7-x¯5) dx = [

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Q: ifferentate: f(x) = COSX 1+sin x Apply the quotient ru

A: Topic:- application of derivatives

Q: Find the derivative of the function y=x^2e^-3x

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Q: Use spherical coordinates. Evaluate • SIS (x² + y²) dv, where E lies between the spheres x² + y² +…

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Q: An airplane has an air speed of 227 miles per hour and a compass heading of 140°. A steady wind of…

A: Given:  V = air plane speed vector with magnitude 227 miles per hour and  heading of 140o  . W= wind…

Q: Use the Laplace transform to solve the given initial-value problem. y" — y' = et cos t, y(0) = 0,…

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Q: Find the indefinite integral 16x10 10 X - 10 X - 72 dx = 1 S(= X 1 10 1 10 dx. 2 -X

A: Given query is to find the integral.

Q: the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m.…

A: Given query is to find arc length.

Q: Consider the function f(x) = -5(x-4)2/3. For this function there are two important open intervals:…

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Q: Find (2¹+3) d. dx

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Q: Identify the shift for the graph of f(x) = 6-ln (x - 6) O 1. up 6, right 6 O 2. down 6, left 6 ○ 3.…

A: f(x)=6-ln(x-6)

Q: Work Problems ) Let r(t) = (√√9-1, ¹5, 2t In t). (1) A) Find the domain of r(t). B) lim r(t) =? 1-2…

A: Note : As per our Guidelines , we can solve first question as your question solution not too small .…

Q: A certain vehicle can accelerate from a standing start to a speed of v(t) = -0.27t2 + 14t feet per…

A: To find the formula for distance.

Q: Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: [sin(nt),…

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Q: Find f(t). f(t) = e -AS + 1 + ])u(t-[

A: apply inverse transform rule if L-1{F(S)}=f(t) then  L-1{e-asF(s)}=U(t-a)f(t-a)

Q: For the function f(x), wh in blue, find lim f(x). X-8

A: Given

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is…

A: Given the cost functionC(x)=6500+6x+0.01x2+0.0002x3   We need to finda.Marginal cost…

Q: lim √In(x) 1-0+

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Q: I am having trouble understanding your answer. How many miles should the boat land from the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Let F(x) = f(xº) and G(x) = (f(x))°. You also know that a = 7, f(a) = 2, f'(a) = 8, f'(a³) = 13 Then…

A: We can find the below steps using the properties of derivative.

Q: The revenue from selling qq items is R(q)=150q−q2, and the total cost is C(q)=50+12q. Write a…

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Q: True or False. (SHOW complete proof) 3 1. y² = cx + c³ is a solution to y = 2x dx + y² (dx)³. dx +…

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question .

Q: Find the directional derivative Du f(x, y) of the function f(x, y) = 4xy + 3x2 at the point (0, 3)…

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Q: Let f(x) = tan ¹(sin(8x)) f'(x) = > Next Question

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Q: A tank contains 4,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped…

A: Solution- given tank contain initially =4000 L salt is added = 35 g per L so rate at which salt in…

Q: second derivative of f(x) = 5ex^-2

A: Given query is to find second derivative of the expression.

Q: Given f(x) = 3 csc (x), write the equation of the line tangent to y = f(x) when X = 4π 3

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Q: Consider the following function. h(x) = x-1¹/3(x-8) Find the derivative of the function. h'(x) = X =…

A: we need to find out the derivative h'(x).

Q: Find the linearization L(x) of y = 5x ln(x) at a = 1. L(x) =

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Q: For each of the differential equations given below, find the general solution using the fol- lowing…

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

Q: Evaluate the following sum of iterated double integrals: 2y 1.² 1th ²² e4x-x² 4-2y dx dy + + ₁² ²²…

A: To find:- ∫01∫02ye4x-x2dxdy+∫12∫04-2ye4x-x2dxdy

Q: Goldsmith deposited $1000 in an account that earned simple interest at an annual rate of 6% and left…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y…

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Q: From Selling price 2010 Fesulted. 198. rice. 3020. This 30% reduction. decrease in Find of to 2012,…

A: Topic:- application of algebra

Q: The element lithium naturally decays at a continuous exponential rate of 1.9% per month. If a sample…

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Q: The function f(x) is approximated near X = 4 by the third degree Taylor polynomial P3(x) = 2 - 5x -…

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Q: 4. Sketch the graph of a continuous function f(x) with domain [0, 2] which is differentiable up to…

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Q: Find the solution of the system whose augmented matrix is 0 2 1 1 2 1 0 1 2 1 1200 13 101022 1 0…

A: We have to find the solution of the system whose augmented matrix is 102110101212001101022132

Q: Use the Ratio Test to determine whether the series is convergent or divergent. n200 200 Σ n! n = 1…

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Q: Let S(x)=In(x² - 4x+5)

A: first derivative

Q: Suppose u(x)=√√x. Then, A 2x B с 1 2x -2x u"'(x) u'(x)

A: Given

Q: Determine whether the series converges or diverges: Input C for convergence and D for divergence: 00…

A: The given series ∑n=1∞-1n2n9n+3.