Answer:
y=3
x=2
Step-by-step explanation:
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Answer:
See step by step explanations to get answer.
Step-by-step explanation:
Given that:
Our linear approximation will be of the form y = c + mx. Use the values of f at the point a and the nearby point a h to find a good approximation. (You will need to set up a linear system involving c, m,a, h, f(a), f(a+ h), where c and m are the variables. You should also be able to solve this linear system exactly for the vector.
Ellen bought soccer shorts on sale for $6 off the regular price of $40. What Percent did she save?
The answer is 15%
<span>The volume of a sphere is V = 4/3 x pi x r^3
The rind volume is the difference of two spheres. The radius of the inner sphere volume is, r - .1 r or .9 r. So the volume of the rind is
V = 4/3 x pi x r^3 - 4/3 x pi (.9 r )^3
V = 4/3 x pi x r^3 - 4/3 x pi x (.9^3) x r^3
Implicitly differentiating both sides with respect to t yields:
V' = ( 4 x pi x r^2 x r' ) - ( 4 x pi x (.9^3) x r^2 x r' )
This equation define the rate of change of the rind volume with respect to time.
As defined in the problem, r' = 2
As well, after 5 weeks the radius will be r = 2 * 5 = 10
V' = (4 x pi x 10^2 x 2) - (4 x pi x (.9^3) x 10 x 2)
V' = (800 x pi) - (800 x pi x (.729))
V' = (800 x pi) (1 - .729)
V' = (800 x pi)(.271)
V' = 681.09 cubic centimeters
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