Determine whether the ordered pair is a solution for the given equation.y = 9 - x, (4, 5)
A. Yes
B. No
Answer: A
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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xyi + y2j - 2yzk ; D: the solid wedge cut from the first quadrant by the plane and the parabolic cylinder x = 16 - 16y2
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B.
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D.
Write the decimal as a fraction in lowest terms.0.492
A.
B.
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D.
As a certain animal grows, its length increases toward a maximum of 17 inches. At age t years its length is measured in inches. The difference
between the maximum length and the current length is shown in the table below.
t 0 1 2 3 D 12.00 10.68 9.51 8.46? A: Make a table of successive ratios to show that D can be modeled by an exponential function of time. Round your answer to two decimal places.B: Find an exponential model for the data. Round your answer to two decimal places.C: Plot the graph of the data points along with the exponential model. Include up to 10 years.D: Find a formula that gives the length L after t years. Round your answer to two decimal places. What will be an ideal response?
Compute the gradient of the function at the given point.
A. ?f = 8i + 7j + 10k B. ?f = -64i + 56j - 50k C. ?f = -64i - 56j - 50k D. ?f = -8i - 8j - 5k