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Differentiation#11

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Q: x24x 3 + x 1 = xp 7x2 - 2x + C In)x - 1C Inx C 6x 3 Inlx 1 + C 2 5x + 2 Inx 1 C

A: Consider the integral is

Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on...

A: The graph of f’ and f’’ is given,

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2]. please show and expla...

A: The function is given by,

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Calculation:The given function is f(x) = 2(5x)x defined on interval [0.05, 1].In order to find the l...

Q: Which of the following is the power series representation for f(10x)? O A. B. 10k co (1-(10x*) In k ...

A: The power series representation for f(10x) is,

Q: How do you solve the limit of this graph?

A: x->-1^- means x is slightly less than -1.

Q: lim x→5 f(x) where f(x)= { 7x-10 if x<5; 25 if x>=5

A: To find the limit x->5 f(x), we have to find the right and left limit of x=5 first.

Q: Maximize f(x, y, z) = 2x + 7y +9z on the sphere x + y+z = 67. Additional Materials eBook

A: f(x,y,z) = 2x + 7y + 9z and g(x,y,z) = x2 + y2 + z2 Approach:We will make use of the method of Lagra...

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The given interval is [-1,1] and the function is,