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

Question 11 Evaluate the limit: Not yet answered lim ((1 - et ) csc(x)) = x - 0+ Marked out of 1.00 Flag questionQuestion 8 Not yet answered Marked out of 1.00 F 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, 27) such that / b _ f (c)=f(b) f(a). a lff(x) = 6x2 + 4, find the number c that satisfies the Mean Value Theorem on the interval [0,5]. Question 10 Not yet answered Marked out of 1.00 V Flag question Evaluate the limit: 11111 x x>oo 26"'=[:] Question 9 Not yet answered Marked out of 1.00 V Flag question Evaluate the limit: . 5 ln(x) 11m = x>1 x4 x [: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: x26x+y2+2y=16 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