Estimate the area under the graph of f(x) = 9 + 2x2 from x = −1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 =

Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: the estimate of solution to x=2^-x to 4 decimal places is what?

A:

Q: dx 3.

A:

Q: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

A:

Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

A:

Q: 0 and f'(x) > 2 for 1sxs4, how small can

A: It is given that f(1)=10, f'(x)≥2 for 1≤x≤4.

Q: The rate of growth of profit (in millions) from an invention is approximated by P'(x) =xe x, where x…

A:

Q: The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: Let's find rate of area increasing when W=4cm and l=10cm.

Q: Find the general solution using reduction of order. 1. y''=ln(x)

A:

Q: Locate the relative extrema of y = ln(x2 + 2x + 3).

A:

Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Explained below

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from vertical…

A:

Q: Find the average rate of change of g(x) 4x3 - 1 to x = 1. 2 from x -

A: our objective is to find the average rate of change

Q: Find the value of [n] for which the area below the x-axis of the curve y = x" log x is d equal…

A:

Q: Use Milne's method to obtain the value of y(0-3).

A:

Q: A tank contains 10m^3 of free water, brine having a concentration of 15kgsalt/m^3 is sent into the…

A:

Q: The number of bacteria growing in an incubation culture increases with time according to n(t) =…

A: The number of bacteria growing in an incubator culture increases with time according to the function…

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: We can use the application of derivative in order to solve the given problem.

Q: If the total revenue function for a blender is R(x) = 41x – 0.01x² where x is the number of units…

A: Given that, the revenue R (in dollars) for a blender is given by  R(x) = 41x - 0.01x2 where x is the…

Q: The revenue from a manufacturing process (in millions of dollars) is projected to follow the model R…

A:

Q: Find the average rate of change of f(x) = 2x− 2x+ 1 from x= −1 to x = 4.

A: The average rate of change from x=-1 to x=4

Q: Find the absolute maximum value of ƒ(x) = x2 ln (1/x) and say where it occurs.

A: We need to find the absolute maximum value of the function

Q: Find the average rate of change of the function from x1 to x2  f(x)=6x where x1 =0 to x2 =4

A: fx=6x Now, f0=60=0 & f4=64=24

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A:

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

A:

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5/9x² –…

A:

Q: The marginal cost function for the manufacture of wireless headphones is given by C'(x) = 34 −…

A: Given: Marginal cost function is given as:

Q: The total cost in pesos of producing x pools of low voltage cable is given by C = 0.002 x - 05 x2 50…

A:

Q: A manufacturer estimates that she can sell a maximum of 165 thousand cell phones in a city. By…

A:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A:

Q: Investigate the root of the equation x+Ln x-5 = 0 in the range [3.2,4] using the Regula-Falsi…

A: Consider the given equation whose root is required to calculate.

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given that  C = 0.001x3 + 3x + 432  To Find the number of units x that produces the minimum average…

Q: Solve parts a,b, and c.

A: Here we need to apply some basic concepts of derivatives to find the answers

Q: The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of…

A: Area = length x width A = L x W

Q: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

Q: A cylindrical can, open at the top, is to hold 160 cm³ of liquid. Find the height and radius that…

A:

Q: a) What is the maximum amount of the salt that will ever dissolve in the methanol? b) If x = 50 when…

A:

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

A: Given, length of rectangle is increasing at a rate of  7 cm/s width of rectangle is increasing at a…

Q: If the total revenue function for a blender is R(x) = 52x − 0.01x2 where x is the number of units…

A: We have the total revenue function R(x) = 52x − 0.01x2.

Q: marginal revenue

A:

Q: The monthly output of a certain product isQ(x) = 2400x5/2where x is the capital investment in…

A: The monthly output of a certain product is Q(x) = 2,400x5/2, where x is the capital investment in…

Q: The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of…

A:

Q: 3. Find the exact solution of the definite integral and approximate to 4 decimal places. 3x2

A:

Q: A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the…

A: Please refer to the image below

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: It is minimum average cost per unit problem.

Q: Find the average rate of change of h (x) = -2x+4x from x -2 to x 1. Simplify your answer as much as…

A:

Q: What is the average rate of change of the function f(x)=9x−8 between x=2 and x=3?

A: The given function is fx=9x-8. The average rate of change of the function f over a,b is given by the…

Q: Find the antiderivative of (2* square root of x) + (3/x^4)

A:

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5V9x2 –…

A: