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If fx)= X^2+4 find f'(x)
Find the length of the line segment described by the function y =(1/x) between x =1 and x =4. Round your
x
answer to two decimal places.
a.3.55
b.3.35
c.3.15
d.2.95
Let R be the region bounded by y =10 -2x , the x-axis, and the y-axis. Compute the volume of the solid formed by revolving R about the y-axis.
a.
25(pi)
b.
50(pi)
c.
(250/3)(pi)
d.
(500/3)(pi)
what is an independant variable?
708 - (257 - (125 - 841) x 283)= ?
Show that the equation
2 = √(x^7 + 3x^2 + 2)

has at least one solution x E (0, 1).
Consider the function:

f(x) = (1/2)(x-1)^2 if x ≤ 2
= a+bx if x > 2

where a, b are constants.

(a) How do you need to choose a and b in order for f to be continuous at all
x E IR?
(b) How do you need to choose a and b in order for f to be di erentiable at all
x E IR?
Recall the definition of the absolute value, |x| = x; if x ≥ 0; -x if x ≤ 0:
Determine all x (is a real number) at which f(x) = |x - 2| is differentiable and compute f'(x) if possible.
F(3)=−2, g(3)=9, f′(3)=−2, and g′(3)=2, find the following numbers:
(a) (f+g)′(3)

(b) (fg)′(3)

(c) (f/g)′(3)

(d) (f/(f−g))′(3
F(x)=(5−x^2)/(4+x^2) Find f′(x) and f′(1) using QUOTIENT RULE?
I already got f'(x), only need f'(1)

f'(x)= -18x / (4+x^2)^2
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