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If f(x) = a(x - h)² + k, explain how the values of a, h, and k affect the graph of the function. Provide an equation with real-number values of a, h, and k, so that your classmates can describe the changes/shifts made to the graph of y = x².
A car goes from station A to station B with a speed of 80 km/h and returns from B to A with a speed of 120 km/h. Find its average speed during the whole journey.
Description of Joint probability, However in this problem what do I do with 2X in my upper y limit, can I plug in the max x value and just make it 0
Estimate rate of changes.
Sketch both graphs. Find and label the intersection points. Find the area between the graphs using integration. Give the full integral, including limits, in proper notation.
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
Find each of the following for the given inner product defined in R^2 =3u(subscript 1)v(subscript 1) + u(subscript 2)v(subscript 2)
If A is an invertible matrix and n is a non negative integer then: please make the proof very detailed and show every step
Use a two sided test at the alpha level.
A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters. What dimensions would require the least amount of fencing if no fencing is needed along the river?
One mean z test
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
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