91Ó°ÊÓ

Find the amplitude and period of each function. Describe any phase shift and vertical shift in the graph. $$ y=-3 \sin \left(x+\frac{\pi}{6}\right)+4 $$

Find the amplitude and period of each function. Describe any phase shift and vertical shift in the graph. $$ y=5 \cos \pi(x-1.5)-8 $$

Sketch a normal curve for each distribution. Label the \(x\) -axis values at one, two, and three standard deviations from the mean. mean \(=25,\) standard deviation \(=5\)

Sketch a normal curve for each distribution. Label the \(x\) -axis values at one, two, and three standard deviations from the mean. mean \(=25,\) standard deviation \(=10\)

Write and evaluate a sum to approximate the area under each curve for the domain \(-1 \leq x \leq 2 .\) a. Use inscribed rectangles 1 unit wide. b. Use circumscribed rectangles 1 unit wide. $$ f(x)=3 x^{2} $$

Write and evaluate a sum to approximate the area under each curve for the domain \(-1 \leq x \leq 2 .\) a. Use inscribed rectangles 1 unit wide. b. Use circumscribed rectangles 1 unit wide. $$ y=x^{2}+4 $$

Write and evaluate a sum to approximate the area under each curve for the domain \(-1 \leq x \leq 2 .\) a. Use inscribed rectangles 1 unit wide. b. Use circumscribed rectangles 1 unit wide. $$ g(x)=-x^{2}+4 $$

Write and evaluate a sum to approximate the area under each curve for the domain \(-1 \leq x \leq 2 .\) a. Use inscribed rectangles 1 unit wide. b. Use circumscribed rectangles 1 unit wide. $$ g(x)=-x^{2}+8 $$