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Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(5) = -2 and g'(5) =4. (Enter your answer as an equation in terms of y and x.)
a solid is generated by revolving about the x-axis the region bounded by the graph of the positive continuous function y=f(x), the x-axis, and the fixed line x=a and the variable line x=b, b>a.
What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9950 and 10,250? If the sample size had been 15 rather than 40, could the probability requested in part (a) be calculated from the given inf..
Provide the year, the top five grossing movies, and their corresponding figures in addition to the mean, median, and mode. Use the adjusted gross column for your calculations.
A fossil was analyzed for carbon-14 content in order to determine its age. The results of the analysis showed that the fossil was approximately 5400 years old. What was the approximate percent of carbon-14 the scientists found in the fossil during an..
Draw the market diagram for given product with price shown on the vertical axis. Find the economically meaningful solution for the equilibrium price and quantity.
Let v ∈ C4 be the vector given by v = (1, i, -1, -i). Find the matrix (with respect to the canonical basis on C4) of the orthogonal projection P ∈ L(C4) such that null(P ) = {v}⊥ .
The Sun is shining directly down a missile silo 1000 miles to your south, while at your location, the Sun is 36° from straight overhead. What is the circumference of Myrmidon? What is its radius?
In how many ways can a subcommittee of seven be chosen from a Senate committee of six Democrats and six Republicans if all members are eligible?
On a sheet of graph paper, plot the points (x, y) in your chart. You should see a smooth curve. Otherwise something is off. Find the lateral position of the speck, x, in terms of Θ
A catalog describes two types of freezers. Type A has a storage capacity of 60 cm x 60 cm x 150 cm and costs $339; type B has a storage capacity of 55 cm x 72 cm x 160 cm and costs $379. Which freezer gives you more cubic cm per dollar?
Find a set S for Theorem 2.2.3 when G is a forest. Show that X is minimal as an a - b separator if and only if every vertex in X has a neighbor in the component Ca of G - X containing a, and another in the component Cb of G - X containing b.
a bug is going 2m/ minutes along the diagonal of a terrarium,indicated in the figure in the overview.The terrarium is mounted on a cart going at 6 meters/minutes. What is the speed of the bug relative to the ground.
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