Find the point on the parabola that is closest to the point (0, -3). HINT: distance:=surd((x-x1)^2+9y-y1)^2,2); and parabola:=x+y^2=0; Isolate(x+y^2=0,x); Substitute the result obtained for x into your distance equation. Substitute the x and y ordinates (0 and -3) for x1 and y1 in your distance formula. Take the radicand (what’s under the radical of your new distance function) and differentiate that for y. Set this derivative to zero and solve for y. Substitute this y-value (select only the real number solution) into parabola equation to solve for x. You will now have both x and y ordinates.
Find the point on the parabola that is closest to the point (0, -3). HINT: distance:=surd((x-x1)^2+9y-y1)^2,2); and parabola:=x+y^2=0; Isolate(x+y^2=0,x); Substitute the result obtained for x into your distance equation. Substitute the x and y ordinates (0 and -3) for x1 and y1 in your distance formula. Take the radicand (what’s under the radical of your new distance function) and differentiate that for y. Set this derivative to zero and solve for y. Substitute this y-value (select only the real number solution) into parabola equation to solve for x. You will now have both x and y ordinates.
Find the point on the parabola that is closest to the point (0, -3). HINT: distance:=surd((x-x1)^2+9y-y1)^2,2); and parabola:=x+y^2=0; Isolate(x+y^2=0,x); Substitute the result obtained for x into your distance equation. Substitute the x and y ordinates (0 and -3) for x1 and y1 in your distance formula. Take the radicand (what’s under the radical of your new distance function) and differentiate that for y. Set this derivative to zero and solve for y. Substitute this y-value (select only the real number solution) into parabola equation to solve for x. You will now have both x and y ordinates.
Find the point on the parabola that is closest to the point (0, -3).
HINT: distance:=surd((x-x1)^2+9y-y1)^2,2); and parabola:=x+y^2=0;
Isolate(x+y^2=0,x); Substitute the result obtained for x into your distance equation. Substitute
the x and y ordinates (0 and -3) for x1 and y1 in your distance formula. Take the radicand (what’s
under the radical of your new distance function) and differentiate that for y. Set this derivative to
zero and solve for y. Substitute this y-value (select only the real number solution) into parabola
equation to solve for x. You will now have both x and y ordinates.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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