The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each week and 0 ≤ x ≤ 80. Step 1 of 2: Find the number of units sold that will yield maximum revenue. Round your answer to the nearest whole unit.

Q: [CLO-3] Use the given velocity function and initial position to estimate the final position s(b).…

A: A detailed solution is given below.

Q: 4) Σ=1 (-1)^-1 √n

A:

Q: Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an…

A: Use the formula for the average rate of change of a function.

Q: Suppose that $2000 is placed in a savings account at an annual rate of 4.2%, compounded monthly.…

A:

Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: Write the equation of the line tangent to the graph of y² = − ly + 1x + 4 at (-2,-2). The equation…

A: We have to find the equation of the tangent.

Q: Write the equation of a sine or cosine function to describe the graph. 3- 3 1 π - 4 4 -2 -3 r k | 2

A:

Q: The ghien matrix is an augmented mutris representing a system of linea equations. Write the matrie…

A: To find the reduced row echelon form of the given augmented matrix .

Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A:

Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 1)…

A:

Q: Question 1 Find the average rate of change of g(x) = 5x³-2 from z = -1 to z = 4.

A: Given the query is to find the the average rate of change for the function.

Q: Cristina wants to enclose a rectangular field with four internal partitions as shown. If there is…

A:

Q: Given the function f(z) = 82-3, find and simplify the following values: f(a)= f(a+h) = f(a+h)-f(a) h

A: Simplify the expression at different values.

Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

A:

Q: Evaluate lim X→∞ ९+2 1 - x³ ( if necessary, using L'Hôpital's rule)

A: limx→∞ex21-x3Apply L-Hospital rulelimx→∞2xex2-3x2limx→∞2ex2-3x

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Using trigonometric substitution, what is 2 A sec-1 (3) - x²-g 6x² ® 1/1 sec - ¹ (1/3) - B x²-9 2x²…

A:

Q: How many times will you perform integration by parts to evaluate sin (Inx) dx? A 4 (B 2 1 3

A:

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A:

Q: Calculate the derivative. x4-4 y = x²5 (Give an exact answer. Use symbolic notation and fractions…

A:

Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Find the critical points of the function f(x) = x² - 25 x² + x - 30 Use a comma to separate multiple…

A:

Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy-1)² 2…

A:

Q: how do I complete the square with problems like: 3y^2 - 4y + 4x = 0 Thank you for your help!

A: This is a problem related to quadric equation. Based on the general formula of quadric equation we…

Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

A:

Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. logg(98) (a) common…

A:

Q: f(x, y) csc(y) Arcsin (x²) find fx (x, y) and fy (x, y).

A:

Q: [x-²sec (an ² (2) dx 7 2tan ²2 (²) - 7tan² ( 1 ) - ₁ X + C 77 11 2ten* (²) 2³(-).c 2tan X - + +C 11…

A:

Q: lim 3 24-8 LIMIT VALUE: H 11-2r

A:

Q: dx secx+1

A: Given ∫dxsecx+1We do half angle substitution:=∫1tan2(x2)+11-tan2(x2)+1dxSubstitute…

Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: Find the curvature and the radius of curvature at the stated point. π r(t) 10 cos(t)i + 10 sin(t)j +…

A: We are aske dto find the curvature and radius of the curve.

Q: a cone-shaped paper drinking cup is to be made to hold 27 cm3 of water. Find the height and radius…

A:

Q: Find the radius of convergence, R, of the series. n Σ -(x + 8)n 30 n=1 R= Find the interval, I, of…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Fill in the blank. y = 6(4) can be written in terms of base e as y = 6(4) can be written in terms of…

A: First I have written the equivalent logrithmic expression for any function and get the desired…

Q: Match each graph with its equation. 1 a. = |2| 1 -√7

A: To match graph of given equations. y=xy=x3y=xy=1x2y=x2y=xy=1xy=x3

Q: Describe the graph of the equation. r = 6 cos ti - 10 sin tj + k major axis of length 6 parallel to…

A: The graph of the given parametric curve is:

Q: sin(x)cos(2x)sin(3x) dx D sin(6x) sin(2x) sin(2x)cos(4x) + + ++ C 24 8 sin(3x)cos(3x) 12…

A:

Q: Let 0 = tan-¹ ( - ), then tan@ =_ and is in quadrant Now use trig identities to find the other 5…

A: Theta lies  in second quadrant ot in four quadrant . First find the trig ratio considering the theta…

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

A:

Q: Based on the table below, I f(z) 53 61 3 0 1 2 3 4 10 Evaluate f(5): f(5)= Solve f(z) = 3: z = 45 5…

A: The table is given by To evaluate: The value of f5 and the value of x for which fx = 3.

Q: Find the radius of convergence, R, of the series. 8 n Σ (x-a)", b>0 bn n = 1 R= Find the interval,…

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. L²||ti ti = + t²i||dt

A:

Q: Modeling Harmonic motion. A large mass attached to a spring moves in simple harmonic motion. The…

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A:

Q: Question 5 > The plot below represents the function f(x): 3 3-4-32 1 2 3 4 Evaluate f(-3): f(-3) -…

A:

Q: Question 7 Find the area enclosed by the curves y=2x², y=2√x,x= — and x = 1 A 45/51 B) 59/76 49/96…

A:

Q: a) Start by copying the graph of the inverse tangent curve onto your paper. Then label each plotted…

A: