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.
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...
a. Find the tangent plane to z=(10-x^2-2y^2)^2 at (1,2,1).
b. Find the equation of the tangent plane to the level surface
for w=x^2y+y^2z+xyz^2 when w=8 at (1,2,1).
If f(x)=2x^2−5x+3, find
f'(−4).
Use this to find the equation of the tangent line to the parabola
y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line
can be written in the form y=mx+b
where m is: ????
and where b is: ????
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 .
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.