Solve the quadratic equation in the complex number system by completing the square.8y2 + 1 = 5y

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Answer: C

Mathematics

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Give a geometric description of the set of points whose coordinates satisfy the given conditions.x2 + y2 + z2 = 64, z = 2

A. All points within the sphere x2 + y2 + z2 = 64 and above the plane z = 2 B. All points on the sphere x2 + y2 + z2 = 64 and above the plane z = 2 C. The sphere x2 + y2 + z2 = 4 D. The circle x2 + y2 = 60 in the plane z = 2

Mathematics

Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = x3e9x

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Mathematics

When a skydiver jumps from an airplane his velocity V, in feet per second, increases toward a maximum of  175 feet per second.  (This is terminal velocity.) The table below shows the difference  between  the terminal velocity and the velocity after t seconds.

 t 0 5 10 15 D 175.00 97.72 54.57 30.47? A: Find an exponential model for the data. Be careful. The data are given in steps of 5 seconds. Round your answer to two decimal places, if necessery.B: Find a formula that gives the velocity V after t seconds. Round your answer to two decimal places, if necessery.C: Make a graph of V versus t over the first 10 seconds. Include the horizontal line representing the terminal velocity.E: According to the model, how long does it take for the skydiver to reach 92.00% of terminal velocity? Round your answer to two decimal places. What will be an ideal response?

Mathematics

Draw the angle in standard position.135°

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Mathematics