Consider the upper half of the ellipsoid f(x,y)= - the tangent line is orthogonal to the...

 

Transcribed Image Text:

Consider the upper half of the ellipsoid f(x,y)= -ā the tangent line is orthogonal to the gradient at that point. Find the derivative of f(x,y) = dy dx $₁ =0 x² v² 36 x² y² 9 36 OA. The slope is. OB. The slope is undefined, so the tangent line is vertical. P(1/1-- Verify that the tangent line is orthogonal to the gradient at P and the point P --√3 on the level curve f(x,y)= (+) What is the slope of the tangent line to the level curve at P P(1/2₁- -√√3 ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 2√/2 3 OA. The slope of the tangent line, m, can be used to write a vector in the direction of OB. The tangent line slope undefined, so it is a vertical line. The gradient Compute the slope of the line tangent to the level curve at P, and verify that Select the correct choice below and fill in the answer boxes to complete your choice. tangent line, (1,m). The dot product of this vector and the gradient(is 0, so they are orthogonal. is horizontal, so it is orthogonal to the tangent line. Consider the upper half of the ellipsoid f(x,y)= -ā the tangent line is orthogonal to the gradient at that point. Find the derivative of f(x,y) = dy dx $₁ =0 x² v² 36 x² y² 9 36 OA. The slope is. OB. The slope is undefined, so the tangent line is vertical. P(1/1-- Verify that the tangent line is orthogonal to the gradient at P and the point P --√3 on the level curve f(x,y)= (+) What is the slope of the tangent line to the level curve at P P(1/2₁- -√√3 ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 2√/2 3 OA. The slope of the tangent line, m, can be used to write a vector in the direction of OB. The tangent line slope undefined, so it is a vertical line. The gradient Compute the slope of the line tangent to the level curve at P, and verify that Select the correct choice below and fill in the answer boxes to complete your choice. tangent line, (1,m). The dot product of this vector and the gradient(is 0, so they are orthogonal. is horizontal, so it is orthogonal to the tangent line.