# Calculus

posted by .

Universal instruments found that the monthly demand for its new line of Galaxy Home Computers t months after placing the line on the market was given by
D(t) = 2900 − 2300e−0.08t (t > 0)
Graph this function and answer the following questions.
(a) What is the demand after 1 month? After 1 year? After 2 years? after 5 years?
after 1 month computers
after 1 year computers
after 2 years computers
after 5 years computers

(b) At what level is the demand expected to stabilize?
computers

(c) Find the rate of growth of the demand after the tenth month.
computers per month

## Similar Questions

1. ### Calculus

Find the point on the line 6x + y = 9 that is closest to the point (-3,1). Solution: We need to minimize the function d = sqrt((x − (−3))^2 + (y − 1)^2) = sqrt((x + 3)^2 + (y − 1) ^2 ) and, since the point (x, …
2. ### Mathamatics

This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A) The gradient of the line is 3. B) The gradient of the line is …
3. ### calculus

Write the equation of the tangent line to the curve at the indicated point. As a check, graph both the function and the tangent line. f(x) = x7 − 7 at x = −1 7 x7
4. ### calculus

Give a possible formula for the illustrated function using a vertical shift of an exponential function. The two points marked on the graph are A=(−172) and B=(10). The red horizontal line is given by y=−3, and is a horizontal …
5. ### math

h worked the following problem incorrectly. Part 1) In which line was the mistake made?
6. ### math help

Universal instruments found that the monthly demand for its new line of Galaxy Home Computers t months after placing the line on the market was given by D(t) = 2900 − 2300e−0.08t (t > 0) Graph this function and answer …
7. ### biology

Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner?
8. ### CALCULUS

Let the line l0 be defined by x = 1−t, y = 2+3t, z = 1−2t. Determine whether each given line intersects l0. If it does, give the intersection point. l1 :x=2+t, y=5−2t, z=1+3t l2 :x=6+2t, y=1+t, z=5+t
9. ### Maths-Calculus

If f(2)=1 and f(2+h)=(h+1)3, compute f′(2). If f(−1)=5 and f(−0.9)=5.2, estimate f′(−1). If the line y=−3x+2 is tangent to f(x) at x=−4, find f(−4). Your answer should be expressed as …
10. ### Algebra

The monthly income I, in dollars, from a new product is given by I(t) = 75000 − 55000e^−0.003t where t is the time, in months, since the product was first put on the market. (Round your answers to the nearest dollar amount.) …

More Similar Questions