Question 1

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

D

Question 2

Find the numerical value of the expression

Accepted Answer

E

Question 3

If $5000 is invested at 3% interest,find the value of the investment at the end of 5 years if the interest is compounded  .

Accepted Answer

B

Question 4

The half-life of cesium -137 is 30 years.Suppose we have a 150-mg sample.Find the mass that remains after  years.

Accepted Answer

The answer of The half-life of cesium -137 is 30...

Question 5

Strontium-90 has a half-life of 28 days.A sample has a mass of 50 mg initially.Find a formula for the mass remaining after  days.

Accepted Answer

The answer of Strontium-90 has a half-life of 28 days.A...

Question 6

________

Accepted Answer

Only the 4th group of characters changes, so we need to compare the 4th group of characters in each option to the original string. The original string ends in "87fe_599af6c6fdb1" and the only option with a different 4th group of characters is C, which ends in "87fe_4703d5c3c6e6". Therefore, the best choice is C.

Question 7

Find the derivative.

Accepted Answer

The answer of Find the derivative. 
...

Question 8

Find the limit.

Accepted Answer

The answer of Find the limit. 
...

Question 9

Find the numerical value of the expression

Accepted Answer

The answer of Find the numerical value of the expression...

Question 10

If $5000 is invested at 8% interest,find the value of the investment at the end of 4 years if the interest is compounded monthly.

Accepted Answer

The answer of If $5000 is invested at 8% interest,find...

Question 11

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

The answer of Evaluate the limit using l'Hôpital's Rule. 
...

Question 12

Find the derivative of the function.Simplify where possible

Accepted Answer

The answer of Find the derivative of the function.Simplify where...

Question 13

Evaluate the expression. (a)  (b)

Accepted Answer

The answer of Evaluate the expression. (a)  (b) 
...

Question 14

Simplify the expression.

Accepted Answer

The answer of Simplify the expression. 
...

Question 15

The half-life of cesium-137 is 30 years.Suppose we have a 170-mg sample.How much of the sample remains after 140 years?

Accepted Answer

The amount remaining after a certain number of years can be calculated using the formula:
Amount remaining = original amount x (1/2)^(time elapsed / half-life)

Substituting the given values, we get:
Amount remaining = 11eaae29_f4ef_7fb5_87fe_6d46e4e7ec99_TB2067_11 x (1/2)^(11eaae29_f4ef_7fb6_87fe_9dfd05acef6e_TB2067_11 / 11eaae29_f4ef_58a3_87fe_573226f6f93d_TB2067_11)
= 11eaae29_f4ef_a6c8_87fe_e7812eadb09d_TB2067_11

Therefore, the answer is B.

Question 16

A telephone line hangs between two poles at 12 m apart in the shape of the catenary  , where x and y are measured in meters.Find the slope of this curve where it meets the right pole.

Accepted Answer

The answer of A telephone line hangs between two poles...

Question 17

Find the exact value of the expression

Accepted Answer

We cannot determine the value of this expression without additional information or context. The string of numbers and letters appears to be a random sequence and does not correspond to any mathematical operations. Therefore, the best answer is to choose the option that matches the given sequence exactly, which is choice C.

Question 18

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

The answer of Evaluate the limit using l'Hôpital's Rule. 
...

Question 19

Find the exact value of the expression

Accepted Answer

The answer of Find the exact value of the expression...

Question 20

Find the limit.

Accepted Answer

The answer of Find the limit. ...

Quiz 5: Integrals

Evaluate the limit using l'Hôpital's Rule.

Find the numerical value of the expression

If $5000 is invested at 3% interest,find the value of the investment at the end of 5 years if the interest is compounded .

The half-life of cesium -137 is 30 years.Suppose we have a 150-mg sample.Find the mass that remains after years.

Strontium-90 has a half-life of 28 days.A sample has a mass of 50 mg initially.Find a formula for the mass remaining after days.

________

Find the derivative.

Find the limit.

Find the numerical value of the expression

If $5000 is invested at 8% interest,find the value of the investment at the end of 4 years if the interest is compounded monthly.

Evaluate the limit using l'Hôpital's Rule.

Find the derivative of the function.Simplify where possible

Evaluate the expression. (a) (b)

Simplify the expression.

The half-life of cesium-137 is 30 years.Suppose we have a 170-mg sample.How much of the sample remains after 140 years?

A telephone line hangs between two poles at 12 m apart in the shape of the catenary , where x and y are measured in meters.Find the slope of this curve where it meets the right pole.

Find the exact value of the expression

Evaluate the limit using l'Hôpital's Rule. $Evaluate the limit using l'Hôpital's Rule. A) 0 B) 1 C) e D) ( \infty )$

Find the exact value of the expression

Find the limit.