The questions are in the photos below: I would like them all solved correctly.

Question 10 _ . Evaluate the limit: Not yet xNDO Marked out of 1.00 F Flag question Question 8 Not yet answered Marked out of 1.00 V Flag question The Mean Value Theorem states: For any function,f, differentiable on (a, b) and continuous on [01, b], there exists c E (a, b) such that I b _ f(c)=f(b) f(a). a lff(x) = 2x2 3, find the number c that satisfies the Mean Value Theorem on the interval [0,3]. Question 11 Not yet answered Marked out of 1.00 F Flag question Evaluate the limit: lim x)0+ ( 1 x 1 e'Cl ) [:1 Question 6 Not yet answered Marked out of 1.00 '7 Flag question Consider the following equation describing a curve in 2-space: Use implicit differentiation to calculate dy Identify the following points on the curve: x2+x+y2+2y=9 1. The xvalue where the tangent(s) to the curve are horizontal. x: [:1 2. The y-value where the tangent(s) to the curve are vertical. y: [:1 Question 7 Identify the function and interval which does not meet the conditions for applying the Mean Value Theorem. Not yet answered Select one: Marked out of Of(x) = 1x1, [0, 3] 1.00 Flag Of (x) = Vx, [0, 2] question Of ( x ) = , [1, 4] Of (x ) =x2, [-2, 2] Of(x) = tan(x), [0, 7]Question 9 Not yet answered Marked out of 1.00 V Flag question Evaluate the limit: . sin(2 x) 11m 7 = x>0 tan(3 x) [:1