Solve the problem.The area of a garden is 12,000 square feet, and the length of its diagonal is 170 feet. Find the dimensions of the garden.
A. 8 feet by 1500 feet
B. 120 feet by 100 feet
C. 800 feet by 15 feet
D. 80 feet by 150 feet
Answer: D
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Find the gradient ?f.f(x, y) = xy8 - x6
A. 8xy7i + (y8 - 6x5)j B. (y8 - 6x5)i + 8y7j C. (xy8 - 6x5)i + 8xy7j D. (y8 - 6x5)i + 8xy7j
Find the sum of the series.
A. - 
B. 
C. 
D. - 
Find the unit tangent vector T and the principal unit normal vector N. r(t) = (6t sin t + 6cos t)i + (6t cos t - 6 sin t)j - 6k
A. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j B. T = (cos t)i + (sin t)j; N = (-sin t)i + (cos t)j C. T = (-cos t)i - (sin t)j; N = (sin t)i + (cos t)j D. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j
Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 
A. f(x) = 
- 
+ 
B. f(x) = 
+ 
+ 
(5 sin x - sin 2x + . . .)
C. f(x) = 
- 
+ 
(3 sin x - sin 2x + . . .)
D. f(x) = 
- 
+ 
(5 sin x - sin 2x + . . .)