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Let f(t)=5 \cos^2( t),\; with domain frac-{\pi}{1} to frac{\pi}{1}. (A) Find all (open) intervals on which f(t) is increasing and concave up.
Let f(t)=5 cos^2( t),; with domain frac-{pi}{1} to frac{pi}{1}.(A) Find all (open) intervals on which f(t) is increasing and concave up. Use I for infty, -I for -infty, and U for the union symbol.B) Find all (open) intervals on which f(t) is decreasing and concave up.C)Find all (open) intervals on which f(t) is increasing and concave down(D) Find all (open) intervals on which f(t) is decreasing and concave down.Decreasing and concave down: (E) Find the vertical asymptote. Enter "DNE" if there are no vertical asymptotes.x = (F) Find the horizontal asymptote. Enter "DNE" if there are no horizontal asymptotes.y = (G) List all the t values where f(t) has inflection points, in increasing order, separated by commas. Enter "DNE" if there are no inflection points. (H) List the values of the function f(t) corresponding to the inflection points, in respective order, separated by commas.(I) List the values of the slopes of the tangent lines at the inflection points, in respective order, separated by commas.
