The population of a virus in a host can be modeled by the function W that satisfies the differential equation dW dt = t - W₁ where W is measured in millions of virus cells and t is measured in days for 7 ≤ t < 12. At time t = 7 days, there are 14 million cells of the virus in the host. a) Write an equation for the line tangent to the graph of W at t = 7. Use the tangent line to approximate the number of virus cells in the host, in millions, at 10 days.

Q: A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential…

A: The surface area of a sphere of radius r is:

Q: The graph of the implicit equation x2+3xv+4v² = 1 is shown here with lines indicating where the…

A: In this question, we find the point of intersection with the curve and horizontal tangent to the…

Q: Discuss how the concept of instantaneous velocity v(t) can lead to the mathematical notion of a…

A: Topic:- application of derivatives

Q: For an unknown function y = g(x), we do know that g(7) = -2 and g'(7) = 4. Write down the equation…

A:

Q: Use implicit differentiation to find dv/dL.

A: We will use concepts of differentiation in this.

Q: the profit P for a company is P=100xe-x/400 where x is in sales. use the method of differentials to…

A: As a first step let's find the derivative of P as shown on whiteboard and establish the relationship…

Q: A town library estimates that, when the population is x thousand persons, approximately y thousand…

A: A town library estimates that, when the population is x thousand persons, approximately y thousand…

Q: find the rate of change dy/dx where x=x0 y=x(1-x); x0= -1

A: We have to find rate of change of  y=x(1-x)at x=x0where, x0=-1