question archive 7) Given x = 5cost and y = 4sint, find in terms of t a) dy dx [4] b) d2 y dx2 [5] 8) A curve is defined by parametric equations x = t2 + t - 1 and y = 2t2 - t + 2 for all t i
7) Given x = 5cost and y = 4sint, find in terms of t a) dy dx [4] b) d2 y dx2 [5] 8) A curve is defined by parametric equations x = t2 + t - 1 and y = 2t2 - t + 2 for all t i
Subject:MathPrice: Bought3
7) Given x = 5cost and y = 4sint, find in terms of t
a) dy dx [4]
b) d2 y dx2 [5]
8) A curve is defined by parametric equations x = t2 + t - 1 and y = 2t2 - t + 2 for all t
i. Show that A(-1,5) lies on the curve [4]
ii. Find dy [4] dx
iii. Find the equation of the tangent to the curve at the point A [5]
9) Find the constant m ify = emx satisfies day dx2 - 52 dy + 6y = 0 [8]
10) Using the Substitution u = 2x - 1, prove that J X (2x-1)3 dx = 25 [1
11) Find S2 ex sin x dx
