Verify that each equation is an identity.(1 - cos x)(1 + cos x) = sin2x
What will be an ideal response?
(1 - cos x)(1 + cos x) = 1 - cos2x = sin2x
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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = tan
A. y = tan u; u = ? - ;
= sec2
B. y = tan u; u = ? - ;
=
sec
tan
C. y = tan u; u = ? - ;
=
sec2
D. y = tan u; u = ? - ;
= sec2
Multiply.436 ? 9,246
A. 4,031,356 B. 4,041,256 C. 4,030,256 D. 4,031,256
Find the zeros of the function.f(x) = x2 - 18x + 81
A. -9 B. 9 C. 0, 9 D. -9, 9
Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively. A town experiences 11.29 hours of sunlight at the summer solstice and 7.94 hours of sunlight at the winter solstice. Find a sinusoidal function that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)
A. y = 11.29 sin + 9.615
B. y = 1.675 sin + 9.615
C. y = 1.675 sin + 9.615
D. y = 11.29 sin + 7.94