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2. Find the first 3 terms of the Taylor series for 𝑓(𝑥) = sin 𝜋𝑥 centered at 𝑎 = 0.5. Use your answer to find an approximate value to 𝑠𝑖𝑛 (𝜋/2+𝜋/10). How to do?

Find the interval & radius of convergence for the power series in #1b?

What is the equation of the line tangent to # f(x)=(x^21)/(x+4) # at # x=5 #?

How do you differentiate #x^7  8xy + y^4 = 7#?

Does anybody know how to solve the limit of #(x^xx^{x^2})/(1x)^2# when #x>1# ?

Find the arc length of the function #y=1/2(e^x+e^x)# with parameters #0\lex\le2#?

What is the fourth root of 1296?

Using the graph of #f(x) = 2x^3 + x^2  3x+1#, what is the average rate of change from #x=2# to #x=0#?

A street light is mounted at the top of a 15fttall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 50 ft from the pole?