Use the Midpoint Rule with four squares of equal size to estimate the double integral.


c. 0.2499

Mathematics

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Which of the following is a justification for being able to construct perpendicular bisectors? ?

A. ?Finding "equal radii" to draw the arcs results in a quadrilateral which is a rhombus. B. ?Finding "equal radii" to draw the arcs results in a quadrilateral which is a square. C. ?Since the diagonals of a rhombus intersect at right angles and therefore make a perpendicular bisector. D. ?Since the diagonals of a quadrilateral are the same length, they intersect at right angles. E. ?None of the above.

Mathematics

Solve the equation. Round to the nearest tenth, if necessary.A ball is dropped from a cliff that is 272 ft high. The distance S (in feet) that it falls in t seconds is given by the formula S = 16t2. How many seconds will it take for the ball to hit the ground? Round to the nearest tenth of a second.

A. 16.5 sec B. 16 sec C. 4.1 sec D. 4624 sec

Mathematics

Solve.One pound of a product yields 2 cups. How many pounds of this product will be required by a recipe that calls for 6 cups of the product?

A. 2 lb
B. 8 lb
C. 2 lb
D. 13 lb

Mathematics

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: -4, -1, 4, 5; degree 4

A. x4  + 24x2 + 80 B. x4 - 4x3 - 21x2 + 64x + 80 C. x4 + 4x3 - 21x2 - 64x + 80 D. x4 - 4x3 - 21x2 + 80x + 80

Mathematics