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1. Find the following indefinite integrals. 2. Find the following definite integrals. 3. Find d 12 + 4 dt. 1.1 / V73 + 3 2.1

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1. Find the following indefinite integrals. 2. Find the following definite integrals. 3. Find d 12 + 4 dt. 1.1 / V73 + 3 2.1 2+ Vx5 5. Find y subject to the following condition, y" = vx - 2, and y'(3) = 2, = 3) and y(3) =- (3 points) 1.2 pra_2, dx 22 / rvInr 6. The marginal-revenue function for a manufacturer's product is of the form (3 points) dr log, * for constants a and b, where r is the total revenue received (in dollars) when q units 1.3 -d.x are produced and sold. Find the demand function, and express it in the form p = /(q) which may contain a and b. 2.3 Inc x(2 + In2 x) -d.x 10. Find the following integrals. 10.1 / x3 In adx 1.4 Ar' + 3x+ Find the area of the region bounded by the graphs of the given equations. Identify 10.2 red do for any constant a # 0 all points of intersection. (4 points) 7.1 y = VI,y = x 7.2 y' = -x - 2,x- y = 5,y= -1,y =1 8. The demand equation for a product is (3 points) P = 2(q - 4)2 where q

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