A) Find the equation of the tangent line to the curve y
= 5e-8x at the point (0, 5).
B) Solve for t.
e0.09t = 9
C) Rancher Johann wants to build a three-sided rectangular fence
near a river, using 280 yards of fencing. Assume that the river
runs straight and that Johann need not fence in the side next to
the river.
Johann wants to build a fence so that the enclosed area is
maximized.
What should be the...
Find a function y = y(x) that has a y-intercept at (0, 4), a
horizontal tangent line at the y-intercept, and satisfies the
differential equation y''-10y'+25y=0.
10) Find the equation of the line tangent to 8x^2 + 18y^3 = 152
at x = 1.
11) Find dy/dx where x and y are related by the equation xsin(y)
− ycos(x) = 0.005.
1. The equation of the line with an x-intercept
of 33 and a y-intercept of 44 can be written in the form y=mx+b
where
the number m is:
the number b is:
Enter each answer as a reduced fraction (like 5/3, not
10/6) or as an integer (like 4 or -2).
2. You have filled your car with a full tank of
gas, and could travel 485 miles. For every 17 miles you drive, you
use 1 gallon of gass...