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- compute the length of the curve over the given interval. r(t) = 2ti − 3tk, 11 ≤ t ≤ 15For x > 0, sketch a curve y = ƒ(x) that has ƒ(1) = 0 and ƒ′(x) = 1/x. Can anything be said about the concavity of such a curve? Give reasons for your answer.2. Find the length of the curve r = θ2−1 from θ =1 to θ = 2 .
- Find the number a such that the line x = a bisects thearea under the curve y = 1 / x 2 , 1< =x < = 4If the area of the triangle included between the axes and any tangent to the curve x^ n * y = a ^ n is constant, then find the value of n.Which of the following has more area under a curve with µ=5 and σ = 4 A. µ ± 3σ B. µ ± 2σ C. µ ± 1σ