Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = 1 - x2 between x = -1 and x = 1 using the midpoint sum with two rectangles of equal width.

A. 1.5
B. 2
C. 0.5
D. 0.75


Answer: A

Mathematics

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Evaluate the improper integral.

A. 42(ln 42 - 1)
B.
C.
D. 42(ln 42 - 2)

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Write the function without radicals by using fractional exponents.y =  - 

A. y = x1/3 - (7x)1/2 B. y = x2/3 - 7x1/2 C. y = x3/2 - 7x1/2 D. y = x2/3 - (7x)1/2

Mathematics

In the following figure: are parallel and ?DEF is an isosceles triangle.


(a) List two supplementary angles.
(b) What shape is ABDEGHA?
(c) What is the measure of ?DFG?
(d) What is the measure of ?BAH?
(e) How many obtuse interior angles are in the figure? List the angle names and measures.
(f) List one set of vertices that form a pentagon.
(g) List two sets of vertices that form scalene triangles
(h) Which angles are congruent? List all congruent angle sets.

Mathematics

Determine how many of the first 5 statements in the sequence obtainable from the given statement are true.n2 + n + 1 is prime.

A. 3 B. 5 C. 2 D. 4

Mathematics