The revenue from the sale of a product is given by the function R = 5000x-0.1x³ dollars. Use graphical or numerical methods to determine how many units should be sold to give a revenue of at least $39,950. ...

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Calculate the first and second derivative and then go ahead

Q: ³ _ x + 2y x-2y find first derivative X = to

A:

Q: Evaluate the following indefinite anti-differentiation   ∫ 5xdx

A: ∫5xdx=5∫xdx=5×x22+C=5x22+C

Q: 12. y' = x² - 2xy + y²

A:

Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: F8 Part 1 of 7 O Show that the differential form in the integral is exact. Then evaluate the…

A:

Q: A point on the terminal side of angle θ is given. Find the exact value of the indicated…

A: We have given x and y coordinates. We will use them to find tan thetha

Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

A:

Q: a Review Back Next Actions E Question 3 Indicate the answer choice that best completes the statement…

A: We have to choose correct option.

Q: If a manufacturer has these given total cost and total revenue functions. C(x) = 100x + 3000 and…

A:

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 - x²…

A:

Q: Find a power series representation for the function. (Give your power series representation centered…

A:

Q: Let f(x) be the function 2x² − 6x + 6. Then the difference quotient - f(4+h)-f(4) can be simplified…

A:

Q: and

A:

Q: 2. y = x(2x+1)³, y"

A:

Q: QUESTION 4 If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the…

A: To find the probability.

Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

A:

Q: Write an arithmetic expression for the function f∘g, and find the value of f∘g(5) Write an…

A: We have to find the function

Q: lim x → ∞0 5x²-x + 1 2x² + 5x - 4

A:

Q: .3 t +y3

A:

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

A:

Q: Consider the solid Q limited by the surfaces: And the planes z = x² + y²₁ z=4-2²-y² y√3= x, y = 0…

A: Given

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. 1)…

A: I have stated the used formulas in the right side of the solution

Q: 2. A closed rectangular box with a volume of 16 ft3 is made from two kinds of materials. The top and…

A:

Q: Eliminate the parameter and write the resulting rectangular equation whose graph represents the…

A:

Q: Find the horizontal and vertical asymptotes of the curve. 8 + x4 у x²x4

A:

Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400-20t, for 0≤t≤…

A: Given query is to find the distance traveled for different times.

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A:

Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

A: Given problem:-

Q: 518 SHOW ALL WORK Aau aາq JV Find the exponential function given by f(x) = Ca that models the data…

A: f(x)=Caxf(0)=Ca02=CC=2Thereforef(x)=2axf(1)=2a16=2aa=3Thereforef(x)=2×3xCheck for x=2 and…

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A:

Q: T 1-2² (a) This is true. (b) This is false. 8. dr = arcsinz+C

A: Solution: ∫π1-x2dxTake constant out:=π·∫11-x2dx

Q: b) y= x(x-2)(x+1), y X

A: We have to find out

Q: Find the indefinite integral. (Use c for the constant of integration.) [(41³i+ (4t³i + 14tj - 6√tk)…

A:

Q: 49-50 Find az/ax and əz/ay. 49. (a) z = f(x) + g(y) 50. (a) z = f(x) g(y) (c) z = f(x/y) (b) z = f(x…

A:

Q: Solve the right triangle using the information given. Round answers to two decimal places, if…

A:

Q: Consider the following function. f(x) = 4x2/3 Find f(-8) and f(8). f(-8) = f(8) = Find all values c…

A: Here, the given function is: f(x)=4-x23

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: Express the limit as a definite integral on the given interval. n exi lim -Ax [0, 9] n→∞ i = 1 6 +…

A:

Q: Particle Motion In Exercises 49 and 50, the velocity function, in feet per second, is given for a…

A:

Q: Suppose f(x) = 6 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = 2.…

A: a) f(x)=6-x2…

Q: 01) Solve the differential equation with the given initial condition: y' - 6x²y + 4xy = y. where…

A:

Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 4x. The area of the region…

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³1 (4t³i + 14tj – 6√√tk)…

A:

Q: Match each of the Maclaurin series with the function it represents.

A:

Q: α 4" n=2 5n!

A:

Q: tion decomposition...

A:

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

A:

Q: Blologist is monitoring the population of a rare species of Jackelope. The initial population size…

A: