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1. Given f(x)=1/x+12, find the average rate of change of f(x) on the interval [3,3+h]. Your answer will be an expression involving h.
2. Given g(x)=2/x-3, evaluate and simplify: g(1+h)-g(1)/h
3. Use the product rule to find the derivative of (-3x^10+8x^9)(7e^x-7) (you dont need to expand the answer)
4.If f(x) = 7x+8/4x+5 find f(x) and f(5)
5.if f(x)= 5x^2+3x+6/√x then find f(x) and f(2)
6. Given thatf(x)=x^5h(x)h(-1)=2h(-1)= 5Calculate f(-1)
7. Let f(x)= x/x+5.Find the values of x where f'(x)=4 What is the greater solution is x=?, lesser solution is x=?
Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that By using maclaurin series for e^z write the above integral as
If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t - 1.86t2. (Round all numbers to two decimal places.)
For which values of k are the following vectors u and v orthogonal? Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
Without expansion (until you reduce it to 2 x 2 order), by using the properties of Determinants - Linearly Dependent over Field
Five hundred feet of fencing is available for a rectangular pasture alongside a river, the river is serving as one side of the rectangle. Find the dimensions for the greatest area.
the governor of a large northeastern state is trying to decide whether to veto a bill that she opposes that has been
Find the expected value associated with the purchase of one ticket - how many different delegations are possible?
The length of a rectangular board
Find the regression coefficients.
Another day it only took the student 12 minutes to get to class. What is the measurement in standard units (Hint: remember that a standard unit is a z score)?
a lottery has won $2000.00 prize two $1000.00 dollar prizes and ten $500.00 prizes find the expectation if a person buys 2 tickets?
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
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