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...
1. Find the equation of the line tangent to the curve y=2x^2 +
sin4x at x= π/3.
2. Determine the point(s) where the tangent line to y= 2sinx-4x
has a slope of-3 in the domain 0≤x≤ 2π.
b) Find the equation of the tangent line.
Find an equation of the tangent line to the curve cos ( x ) + 11
y ^2 = x y ^3 + 34 at the point ( 0 , √ 3 ) . Assume that y is a
function of x . Express all numbers in exact form and write the
equation of the tangent line in terms of x and y .
Find the equation of the tangent line to the curve
y=5sec(x)−10cos(x) at the point (π/3,5). Write your answer in the
form y=mx+b where m is the slope and b is the y-intercept.
Find an equation of the tangent to the curve x = 2 + ln t, y =
t2 + 4 at the point (2, 5) by two methods.
(a) without eliminating the parameter
(b) by first eliminating the parameter
Find the equation of the tangent line to the curve at the point
corresponding to the given value of t
1. x=cost+tsint, y=sint-tcost t=7pi/4
2. x=cost+tsint, y=sint-tcost t=3pi/4?