Calculus and Above

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1. A quantity Q(t) is...

1. A quantity Q(t) is descreibed by the exponential growth function Q(t) = 410e^.0035t where t is measured in minutes.

a. what quantity is initially present?

b. what quantity is present in 50 minutes?

2. Find the derivative of the function f(x) = the square root of x+1 times e^3.

3. Use logarithmic differentation to find the deriative of the function y = (e^x)(x^2Inx).

4. Find the indefinite integral (25x^4+4x-3)dx.

5. Find the indefinite integral (6x^5-4)/the square root of x^6-4x dx.

6. Evaluate the definite integral (2x+1)times the square root of x^2+x dx

a. what quantity is initially present?

b. what quantity is present in 50 minutes?

2. Find the derivative of the function f(x) = the square root of x+1 times e^3.

3. Use logarithmic differentation to find the deriative of the function y = (e^x)(x^2Inx).

4. Find the indefinite integral (25x^4+4x-3)dx.

5. Find the indefinite integral (6x^5-4)/the square root of x^6-4x dx.

6. Evaluate the definite integral (2x+1)times the square root of x^2+x dx

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