Find the two points where the curve crosses the -axis and sh

Find the two points where the curve crosses the -axis and show that the tangents to the
Find the two points where the curve crosses the -axis and show that the tangents to the curve at these points are parallel.What is the common slope of these tangents?
Two plants grow in such a way that days after planting,they are and centimeters tall,respectively,where and
At what rate is the first plant growing at time days?Is the rate of growth of the second plant increasing or decreasing at this time?
Which plant is growing more rapidly when it is 20 days after planting?
A closed rectangular box is to be constructed with a base that is twice as long as it is wide.Suppose that the total surface area must be 27 square feet.Find the dimensions of the box that will maximize the volume.
Find the indefinite or definite integrals for the following.
\x05\x05 (b) \x05(c)
\x05(d)\x05\x05 (e) \x05(f)
\x05The market research department of a supermarket chain has determined that,for one store,the \x05marginal price p’(x) at x tubes per week for a certain brand of toothpaste is given by \x05.\x05
\x05Find the price-demand equation if the weekly demand is 50 tubes when the price of a tube is $2.35.
Find the weekly demand when the price of a tube is $1.89.
The demand function for a certain commodity is ,where is the price in dollars at which the commodity is sold.The unit production cost is $20.At what price will the total profit be the greatest?
Find the area of the region bounded by the curves and the x-axis between the interval and .
A factory’s revenue function is dollars in the year t from now,and the cost function is dollars,where t = 0 corresponds to now.
Which year from now the factory can get the break-even?
When the factory gets the break-even,what is the total profit in these t years from now?
A ball moves in the path of a straight line,the instantaneous speed of the ball is given by ,where S (in miles) is its moving distance.
What is the function of the distance S
What is the acceleration in terms of t
In the manufacture of a product,the marginal cost function is (dollars per unit),where y is the number of units produced in one day.The minimum cost is $50 when there is no product produced.Find the total cost function with respect to y.
1.the curve x^2+xy+y^2=7 2.where p1(t)=2/1+25e^-0.3t and p2(t)=20/1+17e^-o.6t
5.dp/dx=-0.015e^-o.o1x 6 .d(p)=4800-2p^2
8.r(t)=5000-20t c(t)=2000+10t^2
9.ds/dt=4te^t^2

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