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Consider the function f(x) = (2t2 - t)3.
a. Determine f'(t) and f"(t).
b. Write a tangent and normal line to the curve when t = 2.
c. List all of the derivative rules, in order, needed to evaluate f'(t)
How many years will it take to double $1000 at 4% interest compounded semiannually? How much interest will you owe on a $1000 loan from March 3 to August 7 at 10% simple interest?
The sentence below is a theorem of predicate logic. Show that it is by deriving it from the null set of premises. If any "individual" in the domain has a property, then every individual has it. I need help explaining this and with the derivation.
the frequency distribution below shows the distribution for checkout time in minutes in umuc minimart between 300 pm
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Solve for the derivative of the given function, finding the slope of the line that is tangent to its graph for the specified value of the independent variable
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
Find an expression for the velocity vs. distance.
What score does a patient at the 75th percentile receive? d. What percentage of patients score between 185 and 199?
A swimming pool is 12 meters long ,6 meters wide, 1 meter deep at the shallow end, and 3 meters deepat the deep end. Water is being pumped into thepool at 1/4 cubic meter per minute, and there is 1 meter of waterat the deep end.
Use the given information to draw the graph of f(x) on an interval near the indicated point (x=3). If there is not enough information given, then state this fact.
from company B, 550 stereos are purchased and 4% are found to be defective. given that a stereo is defective, find the probability that it came from company A?
A certain aircraft can fly 1064 miles with the wind in 4 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?
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