(b) Find the equation of
the tangent line to the curve
8x^2y^3-5x^2+7y^3=10(x-3y)
, at the point (2,-2).
(c) Given
T''=6x^2y^3-cosx+5y^2-siny+10x^2-e^-3x
; determine:
T'=∫(T'')∂x
T'=∫(T'')∂y
(d) Solve the equation cosecxcosydy-10xdx=0 ,
separably.
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...
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: ????
Let f(x)=(x^2+1)*(2x-3)
Find the equation of the line tangent to the graph of f(x) at
x=3.
Find the value(s) of x where the tangent line is horizontal.
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).
Find the equation of
the tangent line at x=2 to the graph of
y= x^2-x-7
Write your answer as a
simplified slope-intercept equation y=mx+b.
For
example y=7x-8