a. S 1 x(M - x) -dx

Integrate the function. x3 +4 4. +4 x² +4 O A. +C O B. (x² + 4) ³/2_ 4R+4+C 3/2 c. 4. (x2 +4) +4 + C OD. (x? +4) 3/2 +tan +C

Evaluate the indicated partial derivative. 7-9xy-3xy: A 18r-15x4 B 18xy- 15xty D9x3y-3ry

Graph the function below. Find the x-int. and y-int. Fill out the x-y table. Use all points that will fit on the graph.

0.9 The profit in dollars from the sale of x expensive watches is P(x)- 0.04x-2x+7x -5000. Find the marginal profit when (a) x=D100, (b) x- 2000, (c) x-5000 and (d) x- 10,000. (a) When x= 100, the marginal profit is $ (Round to the nearest integer as needed)

Calculate R8 for f(x)=7-x over [3,5].

Imagine that we can quarantine infected members of the population, so that they are unable to transmit the disease to others. Let q represent the fraction of the infected population which is quarantined, and let 1-q represent the fraction of the infected population that is not quarantined and can transmit the disease to the susceptible individuals. (Please use google sheets) a. Rewrite the difference equation for S[t+1] and I[t+1] (from question 1), to incorporate the effects of quarantine. (Hint: quarantine should affect the term representing the proportion of susceptible individuals who are interacting with infected each time step) b. In the model you developed for question 1 implement the fraction of quarantined people by adding  (1-q) to the equations for S and I. Show what happens for a quarantine percentage of 50%, meaning that 50% of infectious people are in quarantine and cannot interact with the susceptible. What can you tell about the impact of quarantine.

Calculate R3 and L3 for f(x) = -5x + 3 over [1,4]

Find an antiderivative of the given function. f(x) = 5(7x + 1)“(7) Select one: A. (7x + 1)4 7 O B. (7x + 1)5 5 O C. (7x + 1)4 8 D. (7x + 1)5

01. Plot the function S(x) =x* – 3x' +10xʻ – x – 2 for -65x56. Draw the function as a solid blue line, and include a title and axis labels. x² - 6x+5 f(x) = Q2. Create an anonymous function: -25x58. Plot x vs. f(x) on the screen. x-3 , and variable * that has 200 points over the range