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 = 0 and x = 1 using a lower sum with two rectangles of equal width.
A. .75
B. .125
C. .3145
D. .625
Answer: B
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Answer the question.The graph below shows the level curves of a differentiable function f(x, y) (thin curves) as well as the constraint g(x, y) = 
- 
= 0 (thick circle). Using the concepts of the orthogonal gradient theorem and the method of Lagrange multipliers, estimate the coordinates corresponding to the constrained extrema of f(x,y).
A. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7) B. (1.5, 0.2), (0.7, 1.3), (-1.5, 0.2), (-0.7, 1.3), (-1.5, -0.2), (-0.7, -1.3), (1.5, -0.2), (0.7, -1.3) C. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1) D. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5)
Provide an appropriate response.Give the signs of the three trigonometric functions of the vector with the endpoint (-3, 5).
A. sine, positive; cosine, negative; tangent, negative B. sine, negative; cosine, positive; tangent, positive C. sine, positive; cosine, positive; tangent, negative D. sine, positive; cosine, negative; tangent, positive
Indicate whether the number is a proper fraction, an improper fraction, or a mixed number.
A. Proper fraction B. Mixed number C. Improper fraction
Find the perimeter of the regular polygon.
A. 44 mi B. 112.5 mi C. 30 mi D. 45 mi