A particle starts at the point (-3,0), moves along the x-axis to (3, 0) and then along the semicircle
to the starting point. Use Green's Theorem to find the work done on this particle by the force field F9x,y) = (24x, 8x³ + 24xy²)
Select the correct answer.
a. 486
b. 48
c. 0
d. 486
e. 972
d. 486
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Solve the problem.How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 750e-0.033t, where t is the time in years? Round to the nearest hundredth.
A. 24.75 yr B. 221.61 yr C. 21.00 yr D. 200.61 yr
Give the meaning of the metric prefix.hecto
A. Hundred B. Thousand C. Hundredth D. Ten
Factor the polynomial completely.250k3m - 16m4
A. (10km - 4m2)(25k2 + 4m2) B. 2m(5k + 2m2)(25k2 - 10km + 4km2) C. 2m(5k - 2m)(25k2 + 10km + 4m2) D. 2m(125k - 2m)(k2 + 10km + 4m2)
Solve the following graphically. If necessary, round answers to the nearest thousandth.x2 - 4x - 7 = ex - 6 - 3
A. {-0.81, 4.88} B. {-0.03} C. {-0.8, 4.87} D. {-0.83, 4.89}