Provide an appropriate response.Describe, in words, how to simplify a complex fraction by using the method of multiplying by the LCD of the parts (Method 2).
What will be an ideal response?
Answers will vary. One possible explanation: First, find the LCD of all fractions within the complex fraction. Next, multiply both the numerator and denominator of the complex fraction by this LCD using the distributive property as necessary. Last, write in lowest terms.
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Provide an appropriate response.Suppose the velocity of a body moving along the s-axis is = 9.8t - 8.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. Yes, integration is not possible without knowing the initial position. B. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out. C. No, displacement has nothing to do with the position of the body. D. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.
Evaluate the integral.
A. 4
B.
C. 8
D. 144
An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 10;T = 5 seconds
A. d = -10 cos
B. d = -5 cos
C. d = -10 cos
D. d = -10 sin
Determine the amplitude or period as requested.Period of y = -2 cos x
A.
B. 2?
C. 2
D. ?