The revenue in dollars generated from a sale of x picnic tables is given by R(x) = 22x- (a) Find the marginal revenue when 1000 tables are sold. (b) Estimate the revenue from the sale of the 1001st table by finding R'(1000). (c) Determine the actual revenue from the sale of the 1001st table. 200

Q: An airplane flies at an altitude of a = 6 miles towards a point directly over an observer. Consider…

A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: Find the equation of the line through the point (-5, 4) and perpendicular to the line y = 2-5.…

A: In this question, we want to find a equation of the line perpendicular to the given line passing…

Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

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

Q: dh ars of growth and shaping. The growth rate during those 4 years is approximated by d gs are 14…

A:

Q: Consider the following. Find f'(t) and g'(t). f'(t) = g'(t) = f(t) = t sin(t) g(t) = 1 + t…

A: Let's find derivative of given function.

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

A:

Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

A:

Q: List the first five terms of the sequence. an = cos(npi)

A: Given query is to find first 5 terms.

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

A:

Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: Given the non-homogeneous differential equation y "+ 3y + 2y = 4e* The roots of its auxiliary…

A:

Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the derivative of the function. y' = an−¹(x - √√₁+x²) 2 1 y = 5 tan

A:

Q: Find all relative extrema of the function f(x) = 3x4-36x³+ 5. Use the Second Derivative Test where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: Let C be a cylinder of radius 5 whose axis of rotation is the y-axis. Draw a graph of C and then…

A: We need to find equation of cylinder. As per Bartleby guidelines we can solve one question from…

Q: Find the dimensions of the largest rectangle that can be inscribed in a circle of radius r.

A: Answer in step 2.

Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

A:

Q: Consider the ellipse defined as 9x² + 25y² +90x-50y +25=0 • write the standard form equation of the…

A:

Q: -t g(x) = f* e²²-¹ dt Sx

A:

Q: f(x) = (2x³ + 8), (1, 100)

A:

Q: 1) What is the average value of f(x)= e2x over the interval [-5,-2] tan x-sin x 2) Evaluate i) lim-…

A: As per guideline only one question is allowed to solve if multiple question is asked in single…

Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Given the homogeneous differential equation: y (4) + 3y "- 4y=0 What is its auxiliary equation?…

A: Given that the homogeneous differential equation is y(4) + 3y" - 4y = 0 . Here we have to find its…

Q: 6) Show that (2xy, 2yz + is conservative.

A:

Q: Write Sk k: 4+8+12+...+ -0-0 Do not simplify.) Write SK+1. k+1:4+8+12+...+4(k+ 1) = Simplify your…

A:

Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

A:

Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: At time t, the position of a body moving along the s-axis is s = t³ - 9t² +24t m. a. Find the body's…

A:

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: X √√ ( 2² + 2)² This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: Let f(x) and g(x) be two functions that we know very little about. In fact, all we know is that…

A: Let fx and gx be two functions that we know very little about. In fact, all we know is that ∫12fx…

Q: 9- The sum of the first 10 terms of an arithmetic sequence is 235 and the sum of the second 10 terms…

A: we need to find out the first term and commin difference of the arithmetic sequence.

Q: Find the exact value of cot-¹(-3) O O O O TU 6 0 H|6 TU 픔

A:

Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: Find the exact length of the curve. x = e² + e-t,_ y = 5 - 2t, 0 ≤t≤ 2

A:

Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

A:

Q: and the average value of f(x)= uestion 25 4(x²+2) x² on the interval [1, 3]. Round your answer to…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A:

Q: 14) y = Tan¹ (3); dy =?

A: 14) y = tan-1( x2 ) dydx = ?

Q: 3x 16x³ +24x² - 9. Find: 10. Given f(x) = a) All maximum and minimum points b) All intervals wher

A: given that ;- f(x)=3x4-16x3+24x2-9now ,  f'(x)=ddx3x4-16x3+24x2-9f'(x) = 12x3-48x2+48xand…

Q: Use Right-endpoint Rule with n = 5 to approximate ²x x√x+2dx to 4 decimal places.

A: INTRODUCTION:  The height of the approximating rectangle is calculated using the right endpoint of a…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: given  rate  r(t)=120e-0.02t∫eatdt=eata+c

Q: 5) Find the divergence of (√x² + + z ²) kî + yî + zk)

A:

Q: Find the points on the curve where the tangent is horizontal or vertical. 3 x = t³ - 3t, y = t² - 4…

A: The given curve x=t3-3t, y=t2-4. We have to find the points on the curve where the tangent is…

Q: The answer

A: We are asked to find the increase in cost if the production level is raised from 1200 units to 1800…

Q: 14. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30…

A: