Use implicit differentiation to find the slope of the tangent line to the curve 4 x^2 - 3 xy + 4 y^3 = -113 at the point ( -1,-3 ).

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Write an expression that has three terms and simplifies to 4x - 7. identify the coefficient(s) and constant(s) in your expression

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =