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A lawyer drives from her? home, located 1 mile east and 2 miles north of the town? courthouse, to her? office, located 5 miles west and 6 miles south of the courthouse. Find the distance between the? lawyer's home and her office.
You are buying your first home and need to get a loan for $200,000. Compare these two options: Loan A: a 30-year loan with APR of 4.2% Loan B: a 20-year loan with an APR of 3.9% (a) What is your monthly payment for Loan A?
The area of a circle, A=(π)r2, changes as its radius changes. If the radius changes with respect to time, what is the change in area with respect to time?
Find the mean particulate levels in the city center.
Prove the one point rule- ∃-version: |- (∃x)(x = t Λ A) ≡ A[x:= t] if x is sot free in t. Prove |- (∃x)(A Λ (∃y)(B Λ C)) ≡ (∃y)(B Λ (∃x)(A Λ C)), on the condition that y is not free in A and x is not free in B
Consider the helix with arc-length parametrization r(s) = αcos(αs)i + αsin(αs)j + αbsk, α - (a2 + b2)-1/2. Show that the unit binormal vector makes a constant angle with the axis of the cylinder on which the helix lies.
The number of alternative fuel vehicles26 running on E85, fuel that is up to 85% plant-derived ethanol, increased exponentially in the US between 2003 and 2008.
A ball is thrown vertically upward from the top of a building 500 ft high. If the ball is thrown with an initial velocity of 64 ft/s, the height of the ball, in feet, above the ground after t seconds is given by
Consider a large clothing shop in Sydney. Suppose it is known that the number of business suits sold per day is normally distributed with a mean, μ = 23 and standard deviation, σ = 10. What is the probability that Mr Wood's average daily sales wil..
A balloon is rising at a rate of 2 ft/sec. When the balloon is 148 ft above the ground a bike is moving at a rate of 20 ft/sec under it. How fast is the distance between the bike and balloon increasing 6 seconds later?
Fruits and vegetables are sold by the pound. Add up your prices per pound for the fruits and vegetables and find the average cost per pound.
How does calculus relate to business in the real world?
The officejet printer can copy Maria's dissertation in 16 min. The laser Jet printer can copy the same document in 12 min. If the two machines work together, how long would they take to copy the dissertation?
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