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- Find the length of the curve over the given interval. r = 8, [0, π/6]Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Given △△DEF with D(−4,−1)-4,-1, E(−1,8)-1,8, and F(5,4)5,4, find the median DT in point-slope form.The 80% prediction interval for the value of y at x0=20 is between and
- Which of the following is a critical point on the curve y = x3 − 3x2 + 4x + 5.Suppose an arrow is shot upward on a certain planet with an intial height of 1.7 meters and an initial velocity of 70 m/s. Then its height in meters after t seconds is given byh(t)=70t−7.9t2+1.7 A) First, graph the function h(t) with Desmos (with an appropriate window for the situation - not too big and not too small) and print it out or make a hand-drawn and NEAT graph of the function h(t).Make sure there is a numerical scale on both axes. Next, draw the tangent line to the curve at t=5 seconds. (Don't do any math please - really just draw it with your hand or use a line in an art program if you want to use a computer). Then, choose two points on that tangent line that are far apart from each other, clearly label them on your graph, and find the slope of that tangent line that you drew. What were your two points that you chose on the tangent line (that are clearly marked on your graph that you just uploaded)?( , ) and ( ,…If a rectangle has its base on the x-axis and two vertices on the curve y=e^-x^2, show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.
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