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b Find two numbers a and b with a s b such that ! a (3-2x - x?) dx has its largest value. and bIf the equation F(x,y,z) =0 determines z as a differentiable function of x and y, then, at the points where F, #0, the following equations are true. dz Fx dz and dy F , Use these equations to find the values of dz / dx and dz / dy at the given point. z" - xy + 2yz + 3y -204 =0, (3,4,2) dz = (Type an integer or a simplified fraction.) ax (3,4,2) dz =(Type an integer or a simplified fraction.) dy (3,4,2)Find three numbers whose sum is 33 and whose sum of squares is a minimum. The three numbers are (Use a comma to separate answers as needed.)Find T, N, and * for the space curve, where t > 0. r(t) = (7 cost+ 7t sin t)i + (7 sint- 7t cos t)j + 2kSuppose thatT is to he found from the formula T =54: ex + r: '3'}, where x and 3r are found to he in 2 and 2 with maximum possible errors of |dx| = [1.02 and |dy| = 113. Estimate the maximum possible error in the computed value of T. The magnitude of the estimated maximum possible error is E. [Type an integer or a decimal}