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Q: Prove lim as x approaches 1 = 14x^2 - 20x +6 / x-1 = 6

A: To find the limit of the given rational function as x tends to 1

Q: At 3 P.M. an oil tanker traveling west in the ocean at 19 kilometers per hour passes the same spot a...

A: At 3 P.M. an oil tanker traveling west in the ocean at 19 kilometers per hour passes the same spot a...

Q: Consider the following. f(x) = x − 5 x2 − 25 (a) State the domain of the function. a...

A: Domain of the function f(x) = (x-5) / (x2 -25). The domain of a function is the set of input for whi...

Q: Let (x0,y0)=(2,6) and (x1,y1)= (2.5,6.2). Use the following graph of the function f to find the indi...

A: We first find the slope of f(x) at x=2 using the given tangent. Slope=f'(2)= slope between (2,6) and...

Q: Can you show me the steps to solve the problem? 3.1 Directions: Find the absolute maximum and absolu...

A: Given a function and an interval,

Q: Use the Fundamental Theorom of Calculus to write the number 26 as an integral. 1.) If I pick the l...

A: (1)Write the number 26 as an integral.

Q: 2. For each of the following, sketch the parametrized curves. Be sure to indicate the direction of m...

A: Firstly for solving subpart (a), substitute the value of t = y in f(t) = t.And simplify to get the v...

Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: Leibnitz test: If the alternative series, u1 - u2 + u3 – u4 + … (un > 0, for all n) is such that

Q: The manager of Dixie Furniture Company estimates that the daily output of her factory (in thousands ...

A: a.The given function is