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1.Calculate the slope m of the line passing through the points (-4, 6) and (4, 1.8). For the function illustrated in this graph,
does there exist a number c in the interval I = (-4, 4) such that f'(c) is the slope m of the secant line passing through the points (-4, 6) and (4, 1.8)? Is your answer consistent with the statement of the Mean Value Theorem?
2. Determine the intervals on which the function is increasing and intervals on which the function is decreasing. Check your answers by graphing (grapher) the corresponding functions. Include copies of these graphs.
f(x) = (x - 1)3 - 2.
Sketch each vector as a position vector and find its magnitude- v=3i+j and v=2i+3j
Verify that the sine curve has equation y=sin(πx/7) and find the width w of a flat metal sheet that is needed to make a 28 in panel.
Reconsider the network diagram. Suppose that after 12 weeks, activities 1-2, 1-3, and 2-4 have been finished; activity 2-5 is 75 percent finished; and activity 3-6 is half finished. How many weeks after the original start time should the project be f..
How does one know when a vector field is conservative? Find the scalar field f(x, y, z) such that F =∇f. Evaluate the integral ∫c F · dr where C is the curve defined as r(t) = ti + tj + t2k and 0 ≤ t ≤ 1.
Suppose f(Π/3) = 4 f'(Π/3) = -2, g(s) sinx and h(x) = (cosx/f(x)). - Find g'((Π/3)
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. Finde the value of an angle θ with the vertical when the string breaks.
I was one-tenth of a mile from the intersection, while she was three-twentieths of a mile from it. How fast were we approaching each other at that instant?
A bookstore sells a total $4500 worth of math books, $3000 worth of science books, and $1200 worth of history books. the book store also sells several other types of books. the total sales are $11,000.
A 30 year old man pays $350 for a one year life insurance policy with coverage of $50,000. If the probability that he will live through the year is 0.9975, what is the expected value of the insurance policy?
A farmer wants to enclose a rectangular grazing area using an existing fence on one side and 244 feet of new fencing on three sides. If the length of the rectangle is supposed to be twice as long as it is wide, what are the dimensions of the enclo..
what is the maximum length of the triangular flags, if they want to use a maximum of 180 square inches of cloth?
you are thinking about purchasing a cell phone before making a decision you contact the major service providers in your
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