Solve the problem.The intensity L(x) of light x ft beneath the surface of a lake satisfies the differential equation
. At what depth, to the nearest foot, is the intensity one tenth the intensity at the surface?
A. 86 ft
B. 29 ft
C. 58 ft
D. 38 ft
Answer: C
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Provide an appropriate response.A computer chip manufacturer had an inventory of 8,697 chips. The company had orders of: 1,231, 1,121, 214, and 2,030. How many chips were left on the inventory list?
A. 4,606 chips B. 4,101 chips C. 4,001 chips D. 4,596 chips
Determine the amplitude or period as requested.Period of y = -3 sin (8?x + 4?)
A.
B. 8?
C.
D. 4
Solve the problem.Roberto invested some money at 2.5%, and then invested $5000 more than twice this amount at 4%. His total annual income from the two investments was $1565.00. How much was invested at 4%?
A. $15,000 B. $26,000 C. $3100 D. $31,000
Provide an appropriate response.Determine all of the critical points of f(x, y) = x3 + 3x2 - 9x + y3 - 12y. Also use the second derivative test to determine, if possible, whether a maximum, minimum or saddle point occurs at each of these critical points.
What will be an ideal response?