Solve the problem.Approximate the area under the graph of f(x) = x2 + 2 from 1 to 4 by partitioning the interval into 6 subintervals of equal length and choosing t to be the left endpoint.

A. 25.5
B. 20
C. 26.88
D. 23.38


Answer: D

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10t sin t + 10cos t)i + (10t cos t - 10 sin t)j  - 10k 

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

Mathematics

Provide an appropriate response.In a chemistry class, the following test scores were recorded for a student: 95, 92, 90, 89, 98, 94. Find the mean, median, and mode.

A. mean: 93, median: 93, mode: none B. mean: 93, median: 89, mode: 98 C. mean: 92, median: none, mode: none D. mean: 94, median: none, mode: 98

Mathematics

Determine if the given value is a solution to the given equation.-6,y - 11 = -17

A. Yes B. No

Mathematics

Use the properties of equality to solve the equation.  = y + 

A.
B.
C.
D.

Mathematics