HW26 Antiderivatives ($4. 10) Progress saved Score: 9/11 9/11 answered Vo . . Question 7 0/1 pt 9 3 99 Given f''(2) = 4x - 5 and f' ( - 3) = 6 and f( - 3) = 5. Find f' (ac) = and find f(3) =Consider the function at) whose second derivative is f\"(:c) = 93: + 4sin(:c). If f(0) = 3 and f'(0) = 3, what is x)? in) A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r : radius of cylinder Volume of a cylinder: V = 'JT'I'Zh Area of the sides: A = 27rrh Area of the top/ bottom: A = 7W2 To minimize the cost of the package: Radius: 3.336 x cm Height: 3336304175 x cm Minimum cost: 3.336 x cents Find the point on the line 3:1: + 33; + 5 = 0 which is closest to the point (1, 0)