Exam 3

Question 1

General form of Exponential Growth or Decay

Answer 1

y(t) = y₀*e^kt

Question 2

Half-Life equation

Answer 2

y(t) = y₀ * e^kt

Question 3

Atmospheric Pressure

Answer 3

P(h) = P₀ * e^kh

Question 4

Compound Interest

Answer 4

A(t) = A₀ * (1 + r/n)^nt

n = how many times compounded per year

Question 5

Rate of Cooling

Answer 5

y(t) = (y₀ - T) * e^kt + T

T = surrounding temperature

y₀ = starting temperature

Question 6

Antiderivative

x^-1

Answer 6

ln|x| + C

Question 7

Antiderivative

a^x

Answer 7

(a^x/ln(a)) + C

Question 8

Antiderivative

cos(x)

Answer 8

sinx + C

Question 9

Antiderivative

sin(x)

Answer 9

-cos(x) + C

Question 10

Antiderivative

sec(x)tan(x)

Answer 10

sec(x) + C

Question 11

Antiderivative

sec²(x)

Answer 11

tan(x) + C

Question 12

Antiderivative

csc²(x)

Answer 12

-cot(x) + C

Question 13

Antiderivative

csc(x)cot(x)

Answer 13

-csc(x) + C

Question 14

Antiderivative

1/(x² + 1)

Answer 14

arctan(x) + C

Question 15

Antiderivative

1/sqrt(1 - x²)

Answer 15

arcsin(x) + C

Question 16

Antiderivative

-1/sqrt(1 - x²)

Answer 16

arccos(x) + C