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Question: (a) Use a computer algebra system to find the derivative of f(x) = 2 sin x cos x.
(b) Simplify f(x) and f'(x) using double angle formulas. Write down the derivative formula that you get after doing this simplification.
Find derivatives of the following functions using differentiation rules:
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2.
Using a daily average, how many additional calories should a person consume after eating this particular ice cream?
What will be the value of Claire's investment on her 40th birthday - how much interest will her investment have earned by her 40th birthday?
By calculating the energy lost in the cables, determine the percentage efficiency of the transmission to the town.
Let G be the set of the fifth roots of unity. Use de Moivre's formula to verify that the fifth roots of unity form a group under complex multiplication, showing all work. Prove that G is isomorphic to Z5 under addition by doing the following: State e..
The u. s. census bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical area. each metropolitan statistical area.
Given a group of four people, A, B,C, and D, what is the total number of ways in which birth months could be associated with A, B,C, and D?
A series of deposits, each of value and made at equal time intervals, earns an interest rate of I for the time interval. The deposits have a total value.
Find parametric equations and a parameter interval for the motion of a particle starting at the point (3,0) and tracing the top half of the circle x2 + y2 = 9 two times.
Which policies do you think are most likely to be effective in responding to climate change? Given the political resistance to taxes, what do you think would be the best strategy for achieving reduction of greenhouse gas emissions?
Discuss how an axiomatic set theory can be developed to avoid Russell's paradox. Use the internet as a source for writing a one or two page essay on the topic.
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