Provide an appropriate response.The region bounded by the lines x = 2, x = 6, y = -2, and y = 1 is revolved about the y-axis to form a solid. Explain how you could use elementary geometry formulas to verify the volume of this solid.
What will be an ideal response?
The resulting solid is a cylindrical shell whose volume is given by V = ?h, where r1 is the outer radius, r2 is the inner radius, and h is the height. Since r1 = 6, r2 = 2 and h = 3, V = ?
3 = 96?.
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Use synthetic division to find the function value.f(x) = 3x5 - 4x4 + 2x3 - x + 2; find f(3).
A. 458 B. 469 C. 459 D. 464
Simplify completely.
A.
B.
C.
D.
Explain how to obtain the graph of the given quadratic function from the graph of f(x) = (x - 7)2 + 9
A. Take the graph of y = x2 and shift it 7 units to the left and 9 units up. B. Take the graph of y = x2 and shift it 7 units to the right and 9 units up. C. Take the graph of y = x2 and shift it 7 units to the left and 9 units down. D. Take the graph of y = x2 and shift it 7 units to the right and 9 units down.
Write the number in expanded form.984
A. 984 hundreds = 984 B. 4 hundreds + 8 tens + 9 ones = 400 + 80 + 9 C. 9 thousands + 8 hundreds + 4 tens = 9000 + 800 + 40 D. 9 hundreds + 8 tens + 4 ones = 900 + 80 + 4