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Given y = 2x(x2 – 1)5, show that(a) dy/dx = g(x)(x2 – 1)4 where g(x) is a function to be de...
Step 1: simplify the question using the law cos2x + sin2x = 1 /// Step 2: add the numbers /// Step 3: integrate cosx (remember the differentiation/integration circle sin --&g...
1: Draw a diagram2: Split the velocity into its horizontal and vertical components using trig. Vertical velocity: 25sin(30) Horizontal velocity: 25cos(30)<...
Differentiation => 4X3 - 20X2 + 4XTo find the stationary points, set this differentiation = 04x (x2- 5x +4)4x (x-4)(x-1)x=0, x=4, x=1 are stationary points. Find ...
The ramp is smooth, so the effects of friction can be ignored. Therefore, the potential energy lost by the ball is equivalent to the kinetic energy gained by the ball. The formula for kinetic energy is 1/...
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