Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 0 and x = 2 using a lower sum with two rectangles of equal width.
A. 1
B. 2.5
C. 4.5
D. 5
Answer: A
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Evaluate the line integral along the curve C.
ds , C is the path from (0, 0, 0) to (1, 1, 1) given by:C1: r(t) = ti, 0 ? t ? 1C2: r(t) = i + tj, 0 ? t ? 1C3: r(t) = i + j + tk, 0 ? t ? 1
A. -41 + 5e5 + ln 2 B. -25 + e5 C. -19 + e5 D. -36 + 6e5 + ln 2
For the given angle, name the quadrant in which the terminal side lies.-673°
A. I B. II C. III D. IV
Find the conjugate of the complex number. Then multiply the complex number by its conjugate.-6 - 7i
A. -6 + 7i; 85 B. -13; 85 C. 1; 85 D. -6 - 7i; 85
Solve the problem.Two phone companies compete for customers in a city. Company 1 retains 3/4 of its customers and loses 1/4 of its customers to Company 2. Company 2 retains 5/6 of its customers and loses 1/6 to Company 1. If we represent the fraction of the market held last year by 
, where a is the number the that Company 1 had last year and b is the number that Company 2 had last year, then the number that each company will have this year can be found by the following matrix equation. 
= 
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If Company 1 has A = 90,000 customers and Company 2 has B = 198,000 customers this year, how many customers did Company 1 have last year?
A. 216,000 customers
B. 72,000 customers
C. 76,000 customers
D. 222,000 customers