35. A cable is to run from a power plant on one side of a river 900 m wide to a factory on the other side 3km away upstream. The cost of running the cable over the land is $4.00 per meter while the cost under water is $5.00 per meter. What total length of the cable must be runt at most economical cost? а. 3200 b. 3400 с. 3300 d. 3500 x²+1 36. Evaluate: lim X-1x2+3x-4 а. 1/5 с. 3/5 37 Determine the grea of tbe region bounded by the curve v - v3 b. 2/5 d. 4/5 3r and tbe v-avis 0

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35. A cable is to run from a power plant on one side of a river 900 m wide to a factory on the other side 3km away upstream. The
cost of running the cable over the land is $4.00 per meter while the cost under water is $5.00 per meter. What total length of the
cable must be runt at most economical cost?
b. 3400
а. 3200
с. 3300
d. 3500
x²+1
36. Evaluate: lim
X-1x2+3x-4
а. 1/5
b. 2/5
с. 3/5
d. 4/5
37. Determine the area of the region bounded by the curve y = x³ – 4x² + 3x and the x-axis, 0 < x < 3.
a. 4.92
b. 5.43
с. 3.08
d. 2.54
38. Determine the integral of: S x²e*
a. e*(x² + 2x + 2) + C
b. e*(x² + 2x – 2) + C
c. e*(x² – 2x + 2) + C
d. e*(x² – 2x – 2) + C
39. Find the length of the curve y =÷ (e* + e=*), from 0 < x < 2.
a. 4.24
d. 8.23
40. Find the centroid of the first quadrant area bounded by the parabola y = x² and the line y = x.
d. (-1/2, 2/5)
b. 6.34
с. 3.63
a. (1/3, 3/4)
b. (-1/3, 3/4)
c. (1/2, 2/5)
41. Evaluate S dxdydz
а. 1/3
b. 1/4
с. 1/2
d. 1/6
Transcribed Image Text:35. A cable is to run from a power plant on one side of a river 900 m wide to a factory on the other side 3km away upstream. The cost of running the cable over the land is $4.00 per meter while the cost under water is $5.00 per meter. What total length of the cable must be runt at most economical cost? b. 3400 а. 3200 с. 3300 d. 3500 x²+1 36. Evaluate: lim X-1x2+3x-4 а. 1/5 b. 2/5 с. 3/5 d. 4/5 37. Determine the area of the region bounded by the curve y = x³ – 4x² + 3x and the x-axis, 0 < x < 3. a. 4.92 b. 5.43 с. 3.08 d. 2.54 38. Determine the integral of: S x²e* a. e*(x² + 2x + 2) + C b. e*(x² + 2x – 2) + C c. e*(x² – 2x + 2) + C d. e*(x² – 2x – 2) + C 39. Find the length of the curve y =÷ (e* + e=*), from 0 < x < 2. a. 4.24 d. 8.23 40. Find the centroid of the first quadrant area bounded by the parabola y = x² and the line y = x. d. (-1/2, 2/5) b. 6.34 с. 3.63 a. (1/3, 3/4) b. (-1/3, 3/4) c. (1/2, 2/5) 41. Evaluate S dxdydz а. 1/3 b. 1/4 с. 1/2 d. 1/6
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