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Let f(x) = √(9 - x).
a. Find the slope of the secant line to f(x) through the points (5, f(5)) and (8, f(8)).
b. Using the definition of the derivative, find the slope of the tangent line to the curve at the point (5, f(-5)).
c. Write the equation of the tangent line to the curve at the point (5, f(-5)).
Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction
Decribe the price elasticity of a product or service that you purchase on a regular basis and decribe at what price point would you decide to not purchase that product or service any more.
Analyze the data using graphical representations & numerical summaries.
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
A farmer had several pens out by the barn. He had used 17 lenghts of fence to make the pens, but now he needs to use six of those fence lengths for another project. He wants to remove six fence lenghts but still have two square pens remaing. Which..
Define a discrete random variable
An audio speaker that weighs 50 pounds hangs from the center of a 6 foot cable the ends of which are fastened to the ceiling of a restaurant. At equilibrium the minimum point of the stretched cable is 0.5 ft below the ceiling. To two decimal place..
If refinishing your basement at a cost of $40,105 would add $22,056 to the resale value of your home, what percent of your cost is recouped? (Round to the nearest percent.)
Identify the meaning of independent and dependent events. Calculate probabilities and joint probabilities of simple events. Explain the basic logic of probability theory
A university has 10,000 students of which 50% are male. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.
A rectangle plaque 1.5 cm thick is made of two kinds of metal. The central rectangle has an area of 24cm squared and costs 10 cents/cm cubed. The 1-cm border on the sides and the 2-cm border at the top and bottom cost 5 cents/cm cubed. What shape ..
A bank estimated the interest on the $100 debt from 1835 to 1995 to be $420 million. Find/estimate the interest rate the bank was using for 160 years, assuming interest is compounded annually.
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