se the given information to evaluate each expression. (Enter your answers in exact form.) sin a = √3/2 with 0° < a < 90° (a) sin(a/2)

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A: To calculate the following integral.

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A: x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

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Q: 1 Let f(x)=8x³ - 15x²-2, x2 1.5. Find the value of at the point x = 2007 = f(7). df dx

A: f(x)=8x3−15x2−2,x≥1.5f(7)=20007=f−1(2000)Using the power Ruleddxxn=nxn−1

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Q: -7 4 3+y 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -5 1 2 4 X 5

A: To write the equation of the following graph.

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Q: Use multiplication or division of power series to find the first three nonzero terms in the…

A: By using multiplication or division of powerseries to find the first three nonzero terms in the…