Exam III - Equations

Question 1

Average Value = (Equation)

Answer 1

1/b-a b—-a f(x)dx

Question 2

Area Between Two Curves = (Equation)

Answer 2

Top Curve - Bottom Curve

Question 3

What do you do if asked “Find Area Between Two Curves with no [a,b] values?”

Answer 3

f(x) = g(x), set equal to 0 and solve for X values

Question 4

Integrate using substitution means using?

Answer 4

U Sub

Question 5

How do you set up U-Sub for: 8x/(4x^2+1) dx

Answer 5

Let U = 4x^2+1

du = 8xdx
dx = du/8x

\_\_\_\_\_\_\_\_\_\_
8x/u^2    x        du/8x
= 1/u^2 du
=u^-2du
*Integrate*
= u^-1/-1 + C
= -u^-1 + C
*sub back in*
= -(4x^2+1)^-1 + C

Question 6

infty ——- -3 =

Answer 6

lim b –> infity

Question 7

3 —— -infty

Answer 7

lim a –> -infty

Question 8

r =

Answer 8

Rate

Question 9

t or T =

Answer 9

Years

Question 10

R(t) =

Answer 10

Yearly Amount

Question 11

s =

Answer 11

Constant Amount

Question 12

FV =

Answer 12

Future Value ($)

Question 13

D =

Answer 13

Constant Money Deposit Annually

Question 14

To find Equilibrium Point for Consumer & Producer Surpluses you?

Answer 14

Set D(x) = S(x)

Question 15

Consumer Surplus = (Equation)

Answer 15

X. ——- 0 D(x)dx - (P. x X.)

Question 16

Producer Surplus = (Equation)

Answer 16

(P. x X.) - X. —– 0 S(x)dx