Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.
Answer:
Rate of increase in height =
Step-by-step explanation:
we know that volume of a cone is given by

It is Given that diameter equals height thus we have

Differentiating both sides with respect to time we get

Applying values and solving for
we get

Answer:
36
Step-by-step explanation:
40 * .10 = 4
40-4 = 36
Answer: 
Step-by-step explanation:
Group like terms:

Simplify the arithmetic:

Add 7 to both sides:

Simplify the arithmetic:

Simplify the arithmetic:

Divide both sides by 3:

Simplify the fraction:

Find the greatest common factor of the numerator and denominator:

Factor out and cancel the greatest common factor and the answer will be:

Answer:
It would be 34.43631578 but you can just say 34.4
Step-by-step explanation: