647 Answered Questions for the topic calc

03/19/21

9.7: The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+60x−0.4x^2.

The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+60x−0.4x^2.​(A) Find the exact cost of producing the 51st food processor.​(B) Use the marginal cost to approximate the cost... more

03/19/21

9.7: The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+60x−0.4x^2.

The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+60x−0.4x^2.​(A) Find the exact cost of producing the 51st food processor.​(B) Use the marginal cost to approximate the cost... more

03/19/21

Find dy/dx for the indicated function y. y=8^x+e^3

Find dy/dx for the indicated function y. y=8^x+e^3dy/dx= ___________ ​(Type an exact​ answer.)

03/19/21

Find dy/dx for the function y=29^x.

Find dy/dx for the function y=29^x.dy/dx= ______

03/19/21

Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)= 10e^x+2x​; x=0

Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)= 10e^x+2x​; x=0y= _________

03/19/21

10.2: Find the equation of the line tangent to the graph of f at the indicated value of x.

Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)= 9 − 2 ln x​; x=1y= ______

03/19/21

10.2: Find the equation of the line tangent to the graph of f at the indicated value of x.

Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)= 9 − 2 ln x​; x=1y= ______

Find the standard​ deviation, s, of sample data summarized in the frequency distribution table given below.

Find the standard​ deviation, s, of sample data summarized in the frequency distribution table given below.Interval30​-3940​-4950​-5960​-6970​-7980​-89 Frequency3233920104 Standard deviation=... more

In a recent year the magnitudes​ (Richter scale) of​ 10,594 earthquakes were recorded. The mean is 1.224 and the standard deviation is 0.56. Consider the magnitudes that are unusual.

In a recent year the magnitudes​ (Richter scale) of​ 10,594 earthquakes were recorded. The mean is 1.224 and the standard deviation is 0.56. Consider the magnitudes that are unusual. What are the... more

03/18/21

What are the IQ scores that separate the unusual IQ scores from those that are​ usual? (Consider a value to be unusual if its z score is less than −2 or greater than​ 2.)

IQ scores are measured with a test designed so that the mean is 97 and the standard deviation is 16. Consider the group of IQ scores that are unusual. What are the z scores that separate the... more

03/18/21

Does the range rule of thumb produce an acceptable​ approximation? Suppose a researcher deems the approximation as acceptable if it has an error less than​ 15%.

Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviation listed below. Does the range rule of thumb produce an acceptable​... more

03/18/21

Does the range rule of thumb produce an acceptable​ approximation? Suppose a researcher deems the approximation as acceptable if it has an error less than​ 15%.

Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviation listed below. Does the range rule of thumb produce an acceptable​... more

03/18/21

A certain group of test subjects had pulse rates with a mean of 80.1 beats per minute and a standard deviation of 10.5 beats per minute.

A certain group of test subjects had pulse rates with a mean of 80.1 beats per minute and a standard deviation of 10.5 beats per minute. Would it be unusual for one of the test subjects to have a... more

03/18/21

Cans of regular soda have volumes with a mean of 13.41 oz and a standard deviation of 0.12 oz. Is it unusual for a can to contain 13.49 oz of​ soda?

Cans of regular soda have volumes with a mean of 13.41 oz and a standard deviation of 0.12 oz. Is it unusual for a can to contain 13.49 oz of​ soda?Maximum​ "usual" value= ______ oz​(Type an... more

03/18/21

10.1: ​Recently, a certain bank offered a 10​-year CD that earns 14.15​% compounded continuously. ​(a) If $50,000 is invested in this​ CD, how much will it be worth in 10 ​years?

​Recently, a certain bank offered a 10​-year CD that earns 14.15​% compounded continuously.​(a) If $50,000 is invested in this​ CD, how much will it be worth in 10 ​years?approximately ​$________... more

What is the number of seats that will produce the maximum profit?

In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number of seats is no more than 50. On the other hand, the profit will decrease by 10 cents for each seat... more

03/18/21

Estimate the change in profit.

The management off Miller's restaurant forecast that they will sell 200,000 cases of their chicken wing hot sauce next year. Their annual profit is described by:P(x)= -0.000032x^2+6x-1000Where x is... more

03/16/21

Q10.3: Differentiate the following function. y=x^12 e^x

Differentiate the following function. y=x^12 e^x dy/dx=

03/16/21

Q10.3: Differentiate the following function. y=x^12 e^x

Differentiate the following function. y=x^12 e^x dy/dx=

03/16/21

Q10.4: The rate of change of pressure at the end of 20 years is _______ ​mm/year. ​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)

A research group using hospital records developed an approximate mathematical model relating systolic blood pressure and age.P(x)=50+25ln(x+3) 0≤x≤65​P(x) is pressure measured in millimeters of... more

03/16/21

​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously. Use the given information to answer the questions.

​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously.Use the given information to answer the questions.​(a) If $20,000 is invested in this​ CD, how much will it... more

03/16/21

​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously. Use the given information to answer the questions.

​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously.Use the given information to answer the questions.​(a) If $20,000 is invested in this​ CD, how much will it... more

03/15/21

​Recently, a certain bank offered a 5​-year CD that earns 2.43​% compounded continuously. ​(a) If $20,000 is invested in this​ CD, how much will it be worth in 5 ​years?

​Recently, a certain bank offered a 5​-year CD that earns 2.43​% compounded continuously.​(a) If $20,000 is invested in this​ CD, how much will it be worth in 5 ​years?approximately ​$________ ... more

03/15/21

Find the marginal revenue function. ​R(x)=x(29−0.03x)

Find the marginal revenue function.​R(x)=x(29−0.03x)R′(x)= ______

03/15/21

Find the marginal cost function. ​C(x)=210+3.3x−0.07x^2

Find the marginal cost function.​C(x)=210+3.3x−0.07x^2C′(x)= _______

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