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Q: Please answer number 6.

A: f(x) = x3 + 4xHence, we can have the table for values of f(x) in the vicinity of x = 3 as shown on t...

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: Find the slope of the curve y=x2-5x-4 at the point P(3,-10) by finding the limit of the secant slope...

A: The given equation is y(x) = x2 – 5x – 4 and the given point is (3,–10).Let the other point of inter...

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = ...

A: The cost of producing t tons of white paper is c(t).The cost of producing 10 tons of white paper is ...

Q: 15-18 A function y = f(x) and an x-value xo are given. (a) Find a formula for the slope of the tange...

A: (a) The given function is

Q: Can I get help with this question step by step?

A: Sketch the interval (a, b) with the point c inside and choose the appropriate graph as follows.

Q: Can you help me step by step with this problem?

A: The given function f and the values of c and epsilon are,

Q: Michael Perez deposited a total of $2000 with two savings institutions. Bank A pays interest at the ...

A: Let x be the amount invested at 5% and y be the amount invested at 7%.That is,x + y = $2000………… …...

Q: Differentiate the function f(x) sin(x) In(8x) f '(x)= X

A: We have to use product rule with u=sin(x) and v=ln(8x)