Question

Let $f(x, y) = ye^{x^2 - 6}$. Which of the following is the gradient of $f(x, y)$ at point $(4, 28)$? a. $e<49, -8>$ b. $e<-49, 8>$ c. $e<49, -7>$ d. $e<-49, 7>$ Find parametric equations for the tangent line at the point $(3, 4, 5)$ to the curve which is the intersection of the surface $x^2 + y^2 + z = 78$ and the plane $x = 3$. a. $x = 3t, y = 1 - 4t, z = 32 + 5t$ b. $x = 3t, y = 1 + 4t, z = -32 + 5t$ c. $x = 3, y = 4 + t, z = 5 + 32t$ d. $x = 3, y = 4 + t, z = 5 - 48t$ Find a point on the surface $z = xy$ where the tangent plane is parallel to the plane $34x + 5y + z/2 = 10$. a. $(68, 10, 680)$ b. $(-68, -10, 680)$ c. $(-10, -68, 680)$ d. $(10, 68, 680)$

          Let $f(x, y) = ye^{x^2 - 6}$. Which of the following is the gradient of $f(x, y)$ at point $(4, 28)$?
a. $e<49, -8>$
b. $e<-49, 8>$
c. $e<49, -7>$
d. $e<-49, 7>$

Find parametric equations for the tangent line at the point $(3, 4, 5)$ to the curve which is the intersection of the surface
$x^2 + y^2 + z = 78$ and the plane $x = 3$.
a. $x = 3t, y = 1 - 4t, z = 32 + 5t$
b. $x = 3t, y = 1 + 4t, z = -32 + 5t$
c. $x = 3, y = 4 + t, z = 5 + 32t$
d. $x = 3, y = 4 + t, z = 5 - 48t$

Find a point on the surface $z = xy$ where the tangent plane is parallel to the plane $34x + 5y + z/2 = 10$.
a. $(68, 10, 680)$
b. $(-68, -10, 680)$
c. $(-10, -68, 680)$
d. $(10, 68, 680)$

Let f(x, y) = ye^x^2 - 6. Which of the following is the gradient of f(x, y) at point (4, 28)?
a. e<49, -8>
b. e<-49, 8>
c. e<49, -7>
d. e<-49, 7>

Find parametric equations for the tangent line at the point (3, 4, 5) to the curve which is the intersection of the surface
x^2 + y^2 + z = 78 and the plane x = 3.
a. x = 3t, y = 1 - 4t, z = 32 + 5t
b. x = 3t, y = 1 + 4t, z = -32 + 5t
c. x = 3, y = 4 + t, z = 5 + 32t
d. x = 3, y = 4 + t, z = 5 - 48t

Find a point on the surface z = xy where the tangent plane is parallel to the plane 34x + 5y + z/2 = 10.
a. (68, 10, 680)
b. (-68, -10, 680)
c. (-10, -68, 680)
d. (10, 68, 680)

Added by Sarah T.

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