If the marginal revenue for ski gloves is R'(x): = -0.7x + 40 and R(0) = 0, find the revenue function. R(x)

Q: Given the graphs of polar equations: r = 1 and r = - 2 sin 0, (a) Set up the integral that gives the…

A:

Q: Find the equation of the conic that satisfies the given conditions and graph the equation.…

A:

Q: Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dy…

A: To find the slope of the tangent line to the curve  at the point .

Q: Problem #4: When a 5 kg mass is attached to a spring whose constant is 20 N/m, it comes to rest in…

A: We have to find the position of mass when t= and amplitude after a long time.

Q: Comparing Two Alternatives Suppose that April has access to an investment that will pay 10% interest…

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

Q: Current Attempt in Progress Given the figure and [ f(x)d(x) = 1.25, estimate: (a) f f(x) dx = (b) […

A: Given that.We will find the remaining values.

Q: 4. Here is a graph representing a function of the form f(x) = a b*. Find the values of a and b. Show…

A: The exponential function is

Q: Determine the Fourier transform of the following signal: x (t) = è¯(t-1) u(t-1)

A:

Q: (a) Find the initial population. (Round your answer to the nearest whole number.) X bacteria (b)…

A: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

Q: (b) O Σ -1/2-²0 6 n=1 Sn Sn 10 4 n Sn 7.8749 2 4 5 n 6 X .... 6 8 7.8750 ... 8 10 10 10 X Sn Sn 3-…

A: Given series

Q: Provide an appropriate response. Divide the interval [0, 8] into four equal subintervals and draw in…

A:

Q: Question 4 Find the expression for the exact area of the surface obtained by rotating the curve…

A:

Q: Below are rules for four functions. Identify each functions as even, odd, or nei- ther. Press on the…

A: Given: To Find: To identify each functions as even, odd, or neither.

Q: The following table shows the total sales, in thousands, since a new game was brought to market.…

A: Part (a): The data appear plotted with dots below:

Q: 28. 2π 1 1/2 [²²₂(² sin²³0 +2²) 0 -1/2 (r² sin² 0 + z²) r dz dr də

A: To evaluate the following integral.

Q: Find the maximum and minimum of the function f(x,y)=x+y=x² - y² on the circle x² + y² = 1.

A: Given that the function:-

Q: A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a…

A: The objective of this question is to find out what percent of the original amount of water…

Q: Let f,g A→ R and suppose that c is a cluster point of A. If lim f(x) = L and 0 then using the…

A: This is question of calculus.Here is limit of function is given And we have to prove statement for…

Q: A 10-foot ladder leans against the side of a wall forming an angle with the ground. Given that the…

A:

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of -x² + 8x between x = 1 and…

A: By using the Fundamental Theorem of Calculus to find the "area under curve" of  between .

Q: Consider the region bounded by the graphs of x = 0, y = cos(x²), y = sin(x²), and x =

A: Region is bounded by x=0,y=cos⁡(x2),y=sin⁡(x2), and x=π2Rotating the region about y-axis.

Q: The rate of growth dP⁄dt of a population of bacteria is proportional to the square root of t, where…

A: The rate of growth of bacteria is directly proportional to the square root of time.

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = 1 2 2! +4…

A:

Q: x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and…

A: f(x)=

Q: Find the c value that satisfies the Mean Value Theorem of the function f (x) = x³ on the interval…

A:

Q: Given (t)=4sinti+at+4 costi find the arc length for t € [0,*]. What is the formula for arc length in…

A:

Q: Find a basis for the 2-dimensional solution space of the given differential equation: y" - 5y' = 0

A: The given differential equation is

Q: 5. Consider the volume of the two solids lying between the spheres x² + y² + z² = 4 and x² + y² + z²…

A:

Q: A 4.6 ft tall man is walking away from a 28 ft tall lamp post. If he is walking at a rate of 4 ft/s,…

A:

Q: Evaluate the Iterated integral I SS (3y² + 4x) dady

A:

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Find the general anti derivative of the function f(x)=8x^9-3x^6+12x^3

A: Given,.

Q: #2.) S sec secx tanx sinx (secx) dx

A: we need to find out the integration.

Q: Use the Chain Rule to check that the derivative of d dx 5 2(4-x-)- = = 1 (ਜ) 5 d 2 dx 5 2(4 – x²)² d…

A: We have to find the derivative of the given function using chain rule.

Q: Find the volume formed by rotating the region enclosed by: 3 6.9y and y = x with y ≥ 0 X = about the…

A: given function

Q: Which of the functions below are one-to-one? Assume that you are considering the domain of each…

A: Find the one-to-one function and domain of the given functions

Q: Suppose f(x,y)= (-y) (25-ay). Answer the following. Each answer should be a list of points (a, b, c)…

A:

Q: Let f(x) and g(x) be differentiable functions. Fill in the blanks with the appropriate function or…

A: To fill in the blanks with appropriate function or expression.Note: Since you have posted multiple…

Q: Use Green's Theorem to evaluate the following integral, f (et² +24y³3) dx + (2y² - 24x³) dy where C…

A:

Q: Verify Green's Theorem by evaluating both integrals an √ 7² dx + x² dy = √ √ √ (²x- ax for the given…

A:

Q: Find the inverse laplace of the following: s+1 3. L¹ { S² + 4s +6 4. [¹ e-38 е a Ans. F(1) =…

A:

Q: The graph shows the derivative of a function f. If f(0) = 3, what is f(2)?

A: given graph of the f' to find the value of f(2).

Q: S (੮)

A: given point in 3 dimension(a) (2,5,3)(b) (-6,3,2)

Q: C. Evaluate d²y dx² at the point (1,2)

A: Consider the curve

Q: 0 a=27 +63 +-4k, Б=-32-97+62

A: Given Vectors are as follows Let the angle between a and b be denoted by

Q: How about the solution for #5?

A:

Q: -2 -1 2+ 1 T 1 y=h(x) 2 True/False True or False: At every point where h'(c) is zero or does not…

A: To determine whether the following statement is true or false.At every point where  is zero or does…

Q: Consider the curve 5x² - 3xy + 3y³ = 768. (a) Find an expression for y'. y' = (b) P(12,-2) is on…

A:

Q: Sketch the graph of the following, given y = f(x). y = f(x) -4 2 Use the graph to answer this y =…

A:

Q: 1. Given y" - 2y + 2y = 0 a) Verify that y₁=e* cos x and y₂ = e* sin x are solutions b) Verify that…

A: