Consider the paraboloid f(x, y) = 1 - (x²/25) - (y²/9) and the point P (5, 0) on the level curve f(x, y) = 0.
Compute the slope of the line tangent to the level curve at P and verify that the tangent line is orthogonal to the gradient at that point.

The graph of a line gets what as the value of the slope gets bigger

Can someone plz me understand how to do these. plz, show work.in exercises 1-4, rewrite the expression in rational exponent form.[tex]\sqrt[4]{625} \sqrt[3]{512} (\sqrt[5]{4} )³ (\sqrt[4]{15} )^{7}\\ (\sqrt[3]{27} )^{2}[/tex]

The construction of copying qpr is started below. the next step is to set the width of the compass to the length of ab. how does this step ensure that a new angle will be congruent to the original angle? by using compass take the measures of angle and draw the same arc according to it.