00 x²e-x dx

Q: A corporation has a continuous compounded bank account with 2.4% annual interest. The board of…

A: Given that rate of interest is 2.4%, principal amount of money invested id $84636, time 6 years.

Q: Find the first and second derivatives of the function.

A: Given  fx=x8x+5 Using quotient rule to find the derivative of f(x)         fuv=v.u'-u.v'v2…

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞…

A:

Q: The original 24 m edge length x of a cube decreases at the rate of 5 m/min. a. When x = 5 m, at what…

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Q: Let f(x) =x√x² + 1. Sketch a graph of f. Make sure your graph takes into account regions of f…

A:

Q: The company Robots for you, Inc. manufactures robots that help with household tasks. The revenue…

A: According to question,Given Revenue Function,Rx = 350 x + 4205x+7-1 -200

Q: find the equation for an hyperbola that passes through (5,6),(6,3), and (5,4)

A: To find the equation of the hyperbola passing through the given points, we can start by using the…

Q: Evaluate the integral. (Use C for the constant of integration.) [5x√1-x² dx

A:

Q: 16. Determine the vector equation of each line.

A: a) Since the line is parallel to the y-axis, its direction vector is ?=[0,1,0] . The line passes…

Q: 7. Consider the famous series > n=1 (a) What is the name of this series? (b) Does this series…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) e3x 5e3x + e dx

A:

Q: There were 38,000 hardback copies of a certain novel sold before the paperback version was issued.…

A: Solution- Before paperback were issued, hardcopy sold =38,000 Let hardcopy sold=x  So paperback = 9x…

Q: r(t) = (7t, 5 cos(t), 5 sin(t)) (a) Find the unit tangent and unit normal vectors T(t) and N(t).…

A: To solve the following problem

Q: At what point on the graph of y = (1/2)x2 is its tangent line parallel to line 2x-4y=3?

A:

Q: 10. Two ships leave the harbor at the same time. One ship is traveling at 14 miles per hour on a…

A: From the data  after 3 hours first ship travel = 14*3=42 mi2nd ship travel = 12*3=36 mi

Q: e derivative of R(x)

A:

Q: Find f(x) if f '(x) = sin x-cos x and f (π) = 3.

A: Given f'(x)=sinx-cosx f(π)=3   We are required to findf(x)   f'(x) is also written as dydx and f(x)…

Q: 6. Determine and classify the critical points (as to whether they are points of maxima or minima or…

A: Given:-f(x, y) = x4 - y4 We have∂f∂x = 4x3 ∂f∂y = - 4y3

Q: x = − 1 y = 3t²2t+11 Eliminate the parameter from the set of parametric equations: y = 2+ 2²+

A:

Q: 83. Solve the differential equation x+y=(-x² cos x)y². = x(sin²x+C) A. y 1 C. --=x² y

A: Given

Q: Determine the x-value of all critical points for the following function. 3x² X-3 f(x) = 2 3x² The…

A: Please see the below picture for detailed solution.

Q: Differentiate. y = In |4x² - 7x|

A: solution:-y=ln4x2-7xdydx=ddxln4x2-7x       =14x2-7xddx4x2-7x      {chain rule}      =8x-74x2-7x

Q: Translate the given statement into a linear equation in the form ax + by = c using the indicated…

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Q: X x²-x+ 20 3 X để nghi + 5x dx

A:

Q: Find the radius of convergence and the interval of convergence. Σ()+ Radius of convergence: (x + 7)…

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Q: Find the derivative. y=612x O A.dy dx OB. dy dx O C. dy dx OD. dy 증 dx = .12x 12 In 6)6 = 6(In…

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Q: -6 y = -5 سیناد abrups and (vilsoming) dodeq 2+ -3 -2 By 1 -2 3 (x-1)(x+4)(x+2) 2 3 THE

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The following table shows education expenditure in the United States as a percentage of total…

A: The given data is: Year t (since 2000) 9 15 19 Percentage P(t) 25 27 26

Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: Three integrals are given that, although they look similar, may require different techniques of…

A:

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A: Given that , The first part is linear, enters the window in the second quadrant, goes down and…

Q: Select the situations that could be modeled by tangents and circles. a knife that cuts a circular…

A: The given data is: Select the situations that could be modeled by tangents and circles

Q: 18. g(x) = x² + 10x + 23 20. f(x) = x² + 6x - 2 22. f(x) = x² + 36 24. f(y) = 81y4 – 625 30. f(x) =…

A: To Find : Zeroes of given polynomial

Q: The distance, s, of a moving body from a fixed point is given as 18e. Find the velocity, v, of the…

A:

Q: onsider the function f(x,y,z) = 3x + 4y + 4z +2, the point P(3,0,2), and the unit vector . Compute…

A: Given :

Q: Which of the following is a convergent p-series? (A Β Σ m=1 (D © Σ C Σ(3) n=1 η n=1 n Σ(4) 3

A:

Q: Evaluate the integral and check your answer by differentiating. 4x6 / 2² +10²-1 dr == +C

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given integral:- ∫0151-x2dx

Q: Need help with question 3. Please solve on pen and paper and upload scanned copy. As it is difficult…

A: Here we have to find out the expression for the number of bacteria after (t) hours. And also we have…

Q: find f'(x) if f(x) = 52x-1

A: Solving the following problem

Q: ==³-187² +811. lowing describes the entire set of 7 values where the curve is decreasing?

A:

Q: dy dx (sin(x))(a). Show all your work. Find where y = (sin(x))In(x)

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Q: Problem #8: Find the area enclosed by the curve x(t) = -9r. y(t)=√r and the y-axis. Enter your…

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Q: 5t - 3 t+1 dt

A:

Q: 3. Lompoc, California, is 18 miles due south of Nipomo. Buellton, California, is due east of Lompoc…

A: Given:       Lompoc is 18 miles due south of Nipomo.       Buellton is due east of Lompoc and S 65°…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. √x (3…

A: To evaluate the following integral and to check the answer by differentiating. ∫x3+x3 dx

Q: r(t) = (5t, 3 cos(t), 3 sin(t)), -9 st≤9 ep 1 For r(t) = (f(t), g(t), h(t)), the length of the arc…

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Q: Let f(x)=3e^x+4+e^−4 f′(0)=

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Q: 79. Evaluate · j; A. 4 B. 8 -4 dx. X-2 C. 2 D. 16

A:

Q: 3. Find the h" (π) if h(x) = 2 + cos x

A: We need to perform derivation.