suppose that the price p(in dollars) and the weekly sales x (in thousands of dollars) of a certain commodity satisfy the demand equation 6p^3 + x^2 = 28350. determine the rate at which sales are charging at a time when x=90, p=15, and the price is falling at a rate of $0.40 per week. the rate at which sales are changing is ----- thousand units per week

Q: When a certain product is sold for p dollars per item, consumers will demand D(p)= 12,00p^-1 items…

A: Given, D(p)= 1200p-1 items/week p(t)= 0.5t²+6 dollars/item

Q: Gilbert Strang video 'Min, Max and Second Derivative,

A: The objective of the question is to understand the concepts of minimum, maximum and second…

Q: The annual profit P (in dollars) of a company is modeled by a function of the form P=at^2+bt+c where…

A: Here annual profit of company is given and time t is given

Q: A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the…

A: The half-life of the radioactive element is the time during which half of the radioactive element…

Q: Find the equilibrium quantity for demand equation p=-x^2+36 where x represent quantity demand and…

A: We have to find the equilibrium quantity for demand equation

Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: 1).Let  f(x)=x^(3)-4x^(2) ​Find the point(s) on the graph of  where the tangent line is horizontal.

A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost other…

Q: retail store estimates that weekly sales s and weekly advertising costs x both in dollars are…

A: Given that a retail store estimates that weekly sales s and weekly advertising costs x both in…

Q: An economy's consumer price index (CPI) is described by the function I(t)=-.2t^3+3t^2+100  , where…

A: To find the rate at which the Consumer Price Index (CPI) is changing in 1998 , we need to calculate…

Q: Determine the slope-intercept equation of the line tangent to the graph of y = 4x^2 - 7x + 1 at x =…

A: y=4x2-7x+1 We need to Determine the slope-intercept equation of the line tangent to the graph of the…

Q: Use the graph to estimate A'(0), A'(5), A'(10), A'(15), and A'(20), including its units.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want the…