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The spring-flex exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 39 cm. If a 190 Newton force is required to keep the spring stretched to a length of 57 cm, how much work is required to stretch it from 57 cm to 64 cm?
trace the curve y =- 2x(x+1)square, stating all properties used for doing so.
if a function defined on r is such tht mod f is continous then f is also continous on r .Justify
rnge of f given by f(X) = [x] , x E ]-1,1[ is (-1 0 1).justify
graph of y=x - mod x lies in 3rd quardant only. justify
if a is a point in the domin of the function f such tht f'(a)=0, then f has a local maxima at x=a . justify
every curve has a critical point. justify?
Find the perimeter of the curve r = a(1− cosq ).
∫dx/(x-1)^2(x^2+4)
Find the area of the region bounded by 2 y = 2x − x and y = x − 2.
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