Find an equation for a polynomial with long run behavior g(x)=-x^4 whose only intercepts are (-5,0),(-4,0),(1,0), and (0,1).

Q: Use the information listed below to solve parts a through h. Suppose that the demand and price for a…

A: p is the price in dollars and q is the quantity demanded in hundreds

Q: 7. Differentiate the following function to review unit two. a. b. C. y' = y' = y = t² + 1 4 - 3t² +…

A: a) y=(t2 + 1 )/(t4-3t2 +2)b)F(y)=(1/y2 - 7/y4 )(y+ 5y3)c)y=sec(theta)tan(theta)According to Bartley…

Q: Differentiate r(t) = (cos(t)², sin(t)², t³).

A: The given vector valued function

Q: Use the Chain Rule to differentiate the following composite functions. y=e¹cos.x a) b) y=10¹² y =…

A:

Q: = 0. (a) Using n as a general integer, write the solutions of sin(x) (Your answer should be a single…

A: The given equation(a) (b) The function is

Q: Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)…

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Q: x²-2x-5 (x²)(x-1)

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Q: A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is…

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Q: Find the indefinite integral [³√5 + i* di

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Q: The function yp is a particular solution to the specified nonhomogeneous equation. Find the unique…

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Q: Differentiate the following function. 3 f(x)=2e +ex² +7 +. + 4 X 5

A: To differentiate the following function.

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: Given that the vertical asymptotes are  and x intercepts are  and horizontal asymptote is

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x, where C is…

A: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x2, where C is…

Q: Consider the function f(x,y) = tan (2x - 2y) and the point P the xy-plane showing P and the level…

A: f(x,y)=tan(2x-2y)

Q: Find the absolute max and min values of f(x), if any, the given interval, and state where those…

A:

Q: Use any method to find the relative extrema of the function f(x) = 20x + 7x7. If there is no…

A:

Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

A: To find the upper and lower sums for the region bounded by the graphof the function and the x-axis…

Q: f(x) = -8x + 1 x-1

A: f(x)=−8x+1x−1

Q: Determine the volume generated by revolving the region below about the y-axis. y=3√x and y= X 4 V=T…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: In the question we have to find the number of units which will provide maximum profit.

Q: Determine the horizontal asymptote of the graph of the function. x3 - 5x2 +x-2 x²-20 f(x)=- Select…

A:

Q: An aquarium 3 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of…

A:

Q: Practice 5: Identify the following as power functions, exponential functions, or constants. f(x)=x²,…

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Q: Derivative Rules: 1. Power Rule: 4. Quotient Rule: Special Case of this: Given f(x) y = d dx 3 (x²…

A:

Q: Consider two functions y₁ = f(x) and y₂ = g(x), and that y₁ ‡ y2 except where they intersect. If…

A: Given that two functions  and  and  except what they intersect.These functions intersect at…

Q: a. Find the linear approximation for the following function at the given point. b. Use part (a) to…

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Q: 2. Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

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Q: The following limit results in 0 when you first try to plug in the limit value. 0 Complete the steps…

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Q: Please answer the following derivative question. If H (x)=(4f(x)+ g(x))2/3 and f(3)=2, g(3)= -4,…

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Q: Use a graphing calculator to graph the following exponential functions on the same screen, an then…

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Q: Two poles are connected by a wire that is also connected to the ground. The first pole is 50 ft tall…

A: Given:To Find:

Q: Consider the following. A = Convert the iterated integral to polar coordinates. A B S^L. ( Jo Jo B =…

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Q: ould you draw a diagram

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Q: A one-to-one function is given. Write an equation for the inverse function. h(x) = ³√/x-7 0° 8 %6

A: A one-to-one function is given.To write an equation for the inverse function

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 3 8 0·00 + +…

A:

Q: What is called a quadratic equation and give 3 examples by calculating its factors with detailed…

A: I have appended the formula used in the solution procedure

Q: -6 -5 -4 -3 -2 -1 5 4 3 2 1 -2 -3 -4 -5 −6+ 1 2 3 4 5 6

A: The slope of a line parallel to the X axis    is 0 .

Q: Consider the following set of data. 12, 13, 13, 15, 16, 17, 18, 20, 20, 20, 22, 26. Compute the…

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Q: Find the length of the curve 3= + e), Setup the integral. dy 2 ° ² - [ √ - - - _ ) « - / √ - + [ } @…

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Q: Use the definition of e, and numerical approximations as h approaches 0 from the left, and h…

A: Use the definition of e, and numerical approximation as h approaches 0 from the left and h…

Q: Q1: Find x(t) = ? for the following Differential Equation [x(t) + 2 x(t) = 10], where x(0) = 2.

A: x'(t)+2x(t)=10x(0)=2

Q: Evaluate the limit using L'Hospital's rule if necessary 3 (+)* 1+ lim +-+00

A:

Q: s, is in metres, and t2 0. Find the acceleration of the car at the instant when the car reverses…

A: To find the acceleration when the car reverses direction, we first need to determine when the…

Q: lim x →∞ 2x² + 19x 3x² + 10 2

A: L=limx→∞2x2+19x3x2+10

Q: Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to…

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Q: To find the arclength of y = 2x² + 2 from x = 0 to x = 5, which is the correct integral? 5 ²-√³ OL=…

A:

Q: Practice 1: If tan y = x where sec² y write X 1300 (1) in terms of

A: If where write  in terms of x.

Q: Practice 2: Suppose that f(2)=-3, g(2)=4, f(2)=-2, and g (2) =7. h(x) = f(x) g(x)+5g(x)- 100 Find…

A: f(2)=-3, g(2)=4, f'(2)=-2, g'(2)=7h(x)=f(x)g(x)+5g(x)-100Find h'(2).

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Find the largest product the positive numbers x, y, and z can have if x+y+z² = 16.

A: x+y+z2=16Find the largest product of the positive numbers x, y and z.