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Please solve all if possible 1. a) Find an equation of the tangent line to the...

Please solve all if possible

1. a) Find an equation of the tangent line to the graph of y=x(x+1)^6 at the point where x=−2.

b) [2 points] State the coordinates of the x-intercept of the line.

2.  Find f(x) by solving the initial value problem.

f′(x)=2−3x^ −2, f(3)=5.

3. Determine the intervals where the function f(x)=2x^2−1/4x^4 is increasing and decreasing, and also both coordinates of all local extrema, if any. Label each extremum as a maximum or a minimum.

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