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Math · Calculus
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1·Find the limits (5%+10%) (u) limx-7 x(cos x-1) lim 2.Define h(2) in a way that extends h(t)-(r + 31-10) / (1-2) to be continuous at 1-2. (10%) 3,Find the first and second derivatives of the function. (10%) u= 4·Find the derivatives of the function. (10%) k(x)of sec( ) x 5. χ = 1-sint , y=l-cos,,t=r/3.(10%+10%) (1)Find an equation for the line tangent to the curve at the point defined by the given value of t. (2)Find the value of dy/d at this point. 6·Find the line that is normal to the curve at the given point. (10%) rsin 2y = ycos2x ,(π / 4,π /2) 7·Evaluate the integral (10%) tanxsec xde 8. Find the total area between the region and the x-axis. (15%)

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