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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: We first have to factor the numerator and the denominator.

Q: y = t(lnt)2 Find the derivative

A: According to the chain rule of derivative,Using the above rule, where u = t and v = ln t

Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height

Q: Find all the roots of the given function.

A: There are two ways to find the roots of this equation:One way is to graph the equation and find wher...

Q: Logarithmic differentiation see below

A: The given function is ,

Q: Help with #4

A: Click to see the answer

Q: Please help me solve this differential equation and identify P(x), Q(x) and v(x).

A: First we rearrange the equation and find P(x) and Q(x)

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)= ex on the given interval [...

A: Definition used: Mean Value Theorem

Q: During the first four months of employment, the monthly sales S (in thousands of dollars) for a new ...

A: Part (a)S= S(x)= 9 / x + 10 + x / 4, x ≥ 4The given function is defined only for x ≥ 4. We don't hav...