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 = 3 and x = 7 using a left sum with four rectangles of equal width.
A. 126
B. 86
C. 105
D. 117
Answer: B
Mathematics
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Find the gradient field F of the function f.f(x, y, z) = z sin (x + y + z)
A. F = -cos xi - cos yj + (sin z - z cos z)k B. F = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k C. F = cos xi + cos yj + (sin z + z cos z)k D. F = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k
Mathematics
Solve the problem. Leave your answer in polar form.z = 10(cos 45° + i sin 45°)w = 5(cos 15° + i sin 15°)Find zw.
A. 50(cos 30° + i sin 30°) B. 5(cos 30° + i sin 30°) C. 5(cos 60° + i sin 60°) D. 50(cos 60° + i sin 60°)
Mathematics
Follow the order of operations to work the problem.17 + (14 - 1)
A. -2 B. 30 C. 32 D. -30
Mathematics
Convert the units using unit fractions.20 c = 
pt
A. 40 B. 80 C. 10 D. 160
Mathematics