Evaluate the line integral of f(x,y) along the curve C.f(x, y) = y + x, C: x2 + y2 = 36 in the first quadrant from (6, 0) to (0, 6)
A. 72
B. 144
C. 36
D. 0
Answer: A
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Provide an appropriate response.Rank the numbers in order from smallest to largest.2.15 × 103, 7.76 × 106, 8.02 × 10-3, 6.65 × 103, 2.61 × 10-6
A. 2.61 × 10-6 < 8.02 × 10-3 < 2.15 × 103 < 6.65 × 103 < 7.76 × 106 B. 8.02 × 10-3 < 2.61 × 10-6 < 2.15 × 103 < 6.65 × 103 < 7.76 × 106 C. 2.61 × 10-6 < 2.15 × 103 < 6.65 × 103 < 7.76 × 106 < 8.02 × 10-3 D. 7.76 × 106 < 6.65 × 103 < 2.15 × 103 < 8.02 × 10-3 < 2.61 × 10-6
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 3yConstraintsx ? 0 0 ? y ? 2 x - y ? 3 x + 2y ? 6
A. Maximum: 20; at (2, 2) B. Maximum: 31; at (4, 1) C. Maximum: 6; at (0, 2) D. Maximum: 21; at (3, 0)
Write a formula for the general term (the nth term) of the geometric sequence.-8, -24, -72, -216, -648, . . .
A. an = -8(3)n - 1 B. an = -8(3)n C. an = -8(3n) D. an = a1 + 3n
Parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.x = t3 + 3, y = 9 - t4; t = 2
A. (17, -13) B. (11, -7) C. (11, 25) D. (17, 1)