Exponential, Logarithmic, Trigonometric and Hyperbolic Functions

What is the solution to the equation 2^x=16?

• x=2

• x=3

• x=4

• x=5

• Don’t know

What is the natural logarithm of 1, ln(1)?

• 0

• 1

• -1

• Undefined

• Don’t know

Simplify the expression ln(e^x).

• e^x

• ln(x)

• x

• e

• Don’t know

Which of the following is the general form of the exponential decay model?

• y=a*e^(kt)

• y=a*e^(-kt)

• y=a*ln(kt)

• y=a*t^k

• Don’t know

What is the value of cos(0)?

• 0

• 1

• -1

• Undefined

• Don't Know

Which of the following is the definition of sinh(x)?

• ((e^x)-(e^-x))/2

• ((e^x)+(e^-x))/2

• 1/(e^x)

• e^(2x)

• Don’t know

Which trigonometric identity is true for all angles?

• (sin(x))^2+(cos(x))^2=0

• (sin(x))^2+(cos(x))^2=1

• (in(x)+cos(x)=1

• sin(x)=cos(x)

• Don’t know

What is the derivative of e^x?

• e^x

• xe(x-1)

• x^2

• 0

• Don’t know

Solve ln(x)=2. What is x?

• e^2

• e^-2

• 2

• 4

• Don’t know

Which of the following functions grows the fastest as x→∞?

• e^x

• x^2

• ln(x)

• x

• Don’t know