1)The area enclosed by the two curves y=x^2 and y=|x| is twice the integration from 0 to 1 of (x^2-x)dx
2) If y, z are two differentiable functions of x, then d(y^2 times z^3) is 6yz(2ydz+3Z^2 dy)
3)If a body moves along a straight line under effect of force parallel to this line of magnitude F=2x+3 force unit, then the work done by this force to move the body from x=1 to x=3 is equal to
14 or 15 or 16 or 18
2) If y, z are two differentiable functions of x, then d(y^2 times z^3) is 6yz(2ydz+3Z^2 dy)
3)If a body moves along a straight line under effect of force parallel to this line of magnitude F=2x+3 force unit, then the work done by this force to move the body from x=1 to x=3 is equal to
14 or 15 or 16 or 18
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1) is false, the required integral being ∫(x-x^2)dx from 0 to 1.
2). False.
3). True (since work done = ∫(2x+3)dx from x=1 to x=3 is [x^2+3x] from 1 to 3 =14).
2). False.
3). True (since work done = ∫(2x+3)dx from x=1 to x=3 is [x^2+3x] from 1 to 3 =14).