Solve.The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 221 vibrations per second and a wavelength of 15.8 ft. Find the wavelength of another tone that has a pitch of 213 vibrations per second. Round to the nearest hundredths when necessary.
A. 0.06 ft
B. 2979.3 ft
C. 16.39 ft
D. 1.64 ft
Answer: C
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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at and
. The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the parabola
to the parabola
.
A. 1568 B. 1536 C. 784 D. 196
Factor out the GCF from the polynomial.21y3 - 9y2 + 15y
A. 3y(7y3 - 3y2 + 5y) B. y(21y2 - 9y + 15) C. 3(7y3 - 3y2 + 5y) D. 3y(7y2 - 3y + 5)
Use rational exponents to simplify the radical expression. Write the final answer in radical form when necessary.
A.
B. 6z3
C.
D.
Use the table of integrals or a computer or calculator with symbolic integration capabilities to find the integral.
A. + C
B. + C
C. (x - 2) + C
D. + C