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Q: Find all critical points of f(x) = 2x³ + 2x-. (Use symbolic notation and fractions where needed. Giv...

A: First, we find f'(x) using the power rule

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the...

A: Width of each interval = (10-3)/n= 7/n So, the right endpoints of the partition is:

Q: Evaluate the integral by making the given substitution.

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Q: convert the indefinite integral into definate integral using the interval [0,1]

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Q: Your answer: S° f(x)x²sinx dx =0 If f(x) is even, then -8 1 + x20 .3 .3 4 Inv x2 +1 Inv x2 + 1 Invx2...

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Q: Surface areas Use a surface integral to find the area of the following surfaces. The surface ƒ(x, y)...

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Q: A manufacturer can produce 3240 cell phones when x dollars is spent on labor and y dollars is spent ...

A: We will use the product rule

Q: B. Use the definition of the derivative (the limit of a difference quotient} to find a formula in x ...

A: Given function : Using the definition of the derivative formula:

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number and twice...

A: Let the numbers are x and y So, x+2y=108 Or, x= 108-2y Product of them = P= xy= (108-2y)y