A painting in an art gallery has height h and is hung so that lower edge is a distance d above the eye of an observer (as in the figure). How far from the wall should the observer stand to get the best view? (In other words, where should the observer stand so as to maximize the angle subtended at his eye by the painting?) Select the correct answer.




d.

Mathematics

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 18 - y2, x = y2, y = 0

A. ?
B. 162?
C. ?
D. 81?

Mathematics

Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so state.2x + y = 32x + y = 5

A. (, 0)
B.  
C. dependent
D. inconsistent

Mathematics

Select the graph of the function and determine whether it is even, odd, or neither. ? f(x) = x2 - 6 ?

A. ?

Odd


B. ?

Neither


C. ?

Odd


D. ?

Neither


E. ?

Even


Mathematics

Solve.A writer received $45,000 as royalty for her book. She invested part of the money in bonds paying 7% interest annually. The rest she invested in a life insurance policy which paid 9% annually. How much money did she invest in the bonds, if she expects to earn $3770 from both investments each year?

A. $32,000 B. $15,000 C. $14,000 D. $31,000

Mathematics