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# Calculus Practice Problem Help?

Find the limit if it exists.

lim (x^2 + 8x- 2)

x -> 2

A) 0

B) -18

C) 18

D) Does not exist

Find the indicated derivative of the function.

d3y/ dx3 of y= 6x^3 + 3x^2 -3x

A) 18x +36

B) 36

C) 36x + 18

D) 18

A grocery store estimates that the weekly profit (in dollars) from the production and sale of x cases

of soup is given by

P(x) = -5600 + 9.2x - 0.0017x2

and currently 1000 cases are produced and sold per week. Use the marginal profit to estimate the

increase in profit if the store prodcues and sells one additional case of soup per week

A) $5.80

B) $7.50

C) $1,900.00

D) $ 5.52

Ben Franklin bequeathed $4000.00 to the city of Boston in 1790. Assuming the fund grew to

$11 million in 200 years, find the interest rate compounded continuously that would yield this total

value.

A) 4%

B) 2%

C) 6.2%

D) 3.1%

Evaluate.

∫ (2x^2-7x) dx

A) 2/3x^3 - 7/2 x2 +C

B) 2/3x^2 + 7/2x + C

C) 2/3x^3 +C

D) -2/3^3 - 7/2x^2 + C

### 1 Answer

- NickLv 67 years agoFavorite Answer
I answered the first 3 previously

Ben Franklin bequeathed $4000.00 to the city of Boston in 1790. Assuming the fund grew to

$11 million in 200 years, find the interest rate compounded continuously that would yield this total

value.

P=Ae(kt)

11,000,000 = 4000e^(200k)

2750= e^(200k)

ln2750 = lne^(200k)

ln2750 = 200k

ln2750 / 200 = k

k = .039596781

choice A) 4%

Evaluate.

∫ (2x^2-7x) dx

to each term add 1 to the exponent, then divide by the new exponent

choice A)2/3x^3 - 7/2 x2 +C