Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) X Y =- x2 + 49 intercept (x, V ) = relative minimum ( x, V ) = relative maximum (x, y) = points of inflection (x, y) = (smallest x-value) (x, y) = (x, V ) = asd (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)A trough is 12 meters \\ong and 3 meters across the tap (see figure). [ts ends are isosceles triangles wlth altLtudes of 3 meters. (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when his 1.5 meters deep? mfmin (b) If the water is rising at a rate of 2.5 centimeters per minute when P: : 2.5, determine the rate at which water is being pumped into the trough. |:| mam 5. [-110 Points] DETAILS LARCALC'H M 3.9.503.XP.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The side of a square oor tiie is measured to be 12 inches, with a possible error oi= 1.132 inch. Use differentials to approximate the possible propagated error in computing the area of the square. Need Help? @ ' 738ml: 4 5. [-115 Points] DETAILS LARCALC'H M 2.1.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of the line that is tangent to the graph of fend parallel to the given line. Function Line .=[x}:2x2 4X7y+1=0