Q&A Hero

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: How long (in years) would $400 have to be invested at an annual rate of 10%, compounded continuously, to amount to $530? A) 3.25 years B) 2.95 years C) 0.56 years D) 4.54 years E) 2.81 years

Q: Solve for t. Round your answer to four decimal places. A) 1.1772 B) 0.2942 C) 2.5673 D) 0.2943 E) 2.4502

Q: Solve the following equation foraccurate to three decimal places. A) B) C) D) E)

Q: Solve the exponential equation. Give answers correct to 3 decimal places. A) 216 B) 0.571 C) 0.774 D) 0.371 E) 108

Q: Solve the exponential equation. Give the answer correct to 3 decimal places.A) -2.734B) -0.130C) 1.841D) -0.921E) 5.468

Q: Solve the exponential equation. Give the answer correct to 3 decimal places.A) -0.243B) 17.028C) 2.704D) -17.028E) -2.173

Q: Solve the exponential equation. Give the answer correct to 3 decimal places. A) 0.735 B) 1.471 C) 2.719 D) 1.242 E) 4.970

Q: Solve the following equation for accurate to three decimal places. A) B) C) D) E)

Q: Solve the following equation for accurate to three decimal places. A) B) C) D) E)

Q: Write the following expression as a logarithm of a single quantity. A) B) C) D) E)

Q: Write the following expression as a logarithm of a single quantity. A) B) C) D) E) none of the above

Q: Write the expression as the logarithm of a single quantity. A) B) C) D) E)

Q: Write the expression as the logarithm of a single quantity. A) B) C) D) E)

Q: Use the properties of logarithms to write the expression as a single logarithm. A) B) C) D) E)

Q: Use the properties of logarithms to write the expression as a sum, difference, or multiple of logarithms. A) B) C) D) E)

Q: Use the properties of logarithms to expand . A) B) C) D) E)

Q: Use the properties of logarithms to expand A) B) C) D) E) none of the above

Q: Use the properties of logarithms to approximate given that and A) "6.0088 B) "1.2130 C) 0.6641 D) 8.6586 E) 6.0088

Q: Simplify . A) B) C) D) E)

Q: Simplify A) B) C) D) E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Write the exponential equation as a logarithmic equation. A) B) C) D) E)

Q: Write the logarithmic equation as an exponential equation. A) B) C) D) E)

Q: A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 650 with a standard deviation of 13.5. By a normal probability density function the data can be modeled as . Find the derivative of the model. A) B) C) D) E)

Q: A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 13.5. Assuming the data can be modeled by a normal probability density function, find a model for these data. A) B) C) D) E)

Q: Future value. The future value that accrues when $500 is invested at 5%, compounded continuously, is , where t is the number of years. At what rate is the money in this account growing when A) $7.10 per year B) $26.81 per year C) $709.53 per year D) $517.81 per year E) $35.48 per year

Q: The average typing speed N (in words per minute) after t weeks of lessons is modeled by . Find the rate at which the typing speed is changing when t = 20 weeks. Round your answer to two decimal places. A) 1.75 words/min/week B) 2.36 words/min/week C) 2.85 words/min/week D) 4.59 words/min/week E) 5.38 words/min/week

Q: Solve for the equation for . A) B) C) D) E)

Q: Find the extrema of the function by analyzing its graph below. A) (0, 1)B) no relative extremaC) , (0, 0)D) E)

Q: Find the extrema of the function . A) (0, 1) B) , (0, 0) C) D) no relative extrema E)

Q: Find if . A) B) C) D) E)

Q: If A) B) C) D) E)

Q: Use implicit differentiation to find . A) B) C) D) E)

Q: If A) B) C) D) E)

Q: If A) B) C) D) E)

Q: Write the equation of the line tangent to the graph of at A) B) C) D) E)

Q: Find an equation of the tangent line to the graph of at the point (0,1) . A) B) C) D) E)

Q: Find the equation of the tangent line to at the point (0,1). A) B) C) D) E)

Q: Find if . A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find if . A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of the following function. A) B) C) D) E)

Q: Find the derivative of A) B) C) D) E)

Q: The average time between incoming calls at a switchboard is 3 minutes. If a call has just come in, the probability that the next call will come within the next t minutes is . Find the probability that the next call will come within the next minute. Round your answer to two decimal places. A) 4.08% B) 0.41% C) 195.92% D) 6.31% E) 3.95%

Q: The demand function for a product is modeled by . What is the limit of the price as x increases without bound? Round your answer to two decimal places where applicable. A) The limit of the price as x increases without bound is -1. B) The limit of the price as x increases without bound is 1. C) The limit of the price as x increases without bound is 0. D) The limit of the price as x increases without bound is . E) The limit of the price as x increases without bound is .

Q: The demand function for a product is modeled by . Find the price of the product if the quantity demanded is x = 200. Round your answer to two decimal places where applicable. A) 547.90 B) 2282.47 C) 727.73 D) 738.03 E) 2272.27

Q: Find the future value if $2900 is invested for 4 years at an annual rate of 10% compounded quarterly. A) 4640.00 B) 4284.62 C) 3201.06 D) 4245.89 E) 4305.07

Q: What is the annual percentage yield (or effective annual rate) for a nominal rate of 8.1% compounded quarterly? A) 8.10% B) 8.41% C) 8.44% D) 8.35% E) 8.26%

Q: To help their son buy a car on his 18th birthday, a boy's parents invest $1600 on his 12th birthday. If the investment pays an annual rate of 11% compounded continuously, how much is available on his 18th birthday? A) $3068.20 B) $3095.67 C) $2992.66 D) $2656.00 E) $22,421.13

Q: What lump sum should be deposited in an account that will earn at an annual rate of 10%, compounded quarterly, to grow to $180,000 for retirement in 35 years? A) $177,957.47 B) $5514.93 C) $12,000.00 D) $40,000.00 E) $5674.55

Q: How much more interest will be earned if $4000 is invested for 7 years at an annual rate of 12% compounded continuously, instead of at 12% compounded quarterly? A) $38.58 B) $75.18 C) $113.76 D) $1791.71 E) $1866.89

Q: What is the resulting balance if $6800 is invested for 5 years at an annual rate of 12% compounded monthly? A) 7146.87 B) 7662.41 C) 10,880.00 D) 12,353.54 E) 40,062.90

Q: Determine the continuity of the function below. A) discontinuous at x = 0 B) continuous on the entire real number line C) discontinuous at x = 1 D) discontinuous at x = 2 E) discontinuous at x = 4

Q: Determine whether the function below has any horizontal asymptotes. A) horizontal asymptotes: y = 1 B) no horizontal asymptotes C) horizontal asymptotes: y = 0 and y = 2 D) horizontal asymptotes: y = 3 E) horizontal asymptotes: y = 1 and y = 3

Q: Use a graphing utility to graph the function . Be sure to choose an appropriate viewing window.A)B)C)D)E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Sketch the graph of the function .A)B)C)D)E)

Q: Use the properties of exponents to simplify the expression . A) B) C) D) E)

Q: Suppose that the annual rate of inflation averages 4% over the next 10 years. With this rate of inflation, the approximate cost C of goods or services during any year in that decade will be given by C(t) = P(1.04)t, 010 where t is time in years and P is the present cost. If the price of an oil change for your car is presently 22.95, estimate the price 9 years from now. Round your answer to two decimal places. A) 33.97 B) 34.67 C) 35.97 D) 37.67 E) 32.67

Q: After t years, the value of a car that originally cost 19,000 depreciates so that each year it is worth of its value for the previous year. Find a model for V(t), the value of the car after t years. A) V(t) = 19,000 B) V(t) = 19,000t C) V(t) = 19,000 D) V(t) = 19,000 E) V(t) = 19,000t

Q: Assume the population P (in millions) of the United States from 1992 through 2005 can be modeled by the exponential function , where t is the time in years, with t = 2 corresponding to1992. Use the model to estimate the population in the year 2007. Round your answer to the nearest million. A) 7022 million B) 4372 million C) 11,277 million D) 657 million E) 7021 million

Q: Use a graphing utility to graph the function .A)B)C)D)E)

Q: Use a graphing utility to graph the function .A)B)C)D)E)

Q: With an annual rate of inflation of 4% over the next 10 years, the approximate cost of goods or services during any year in the decade is given by where is the time (in years) and is the present cost. The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now. A) $37.09 B) $36.93 C) $89.00 D) $63.90

Q: Sketch the graph of the function .A)B)C)D)E)

Q: After t years, the remaining mass y(in grams) of 20 grams of a radioactive element whose half-life is 35 years is given by , for . How much of the initial mass remains after 140 years? Round your answer to two decimal places. A) 2.50 grams B) 2.45 grams C) 3.55 grams D) 3.40 grams E) 1.25 grams

Q: Use the properties of exponents to simplify the expression . A) B) 25 C) D) E) 625

Q: Evaluate the expression . A) 243 B) 3 C) 9 D) 11 E) 13

Q: A function and its graph are given. Use the graph to find the vertical asymptotes, if they exist, where Confirm your results analytically. A) B) C) D) E) no vertical asymptotes