If

represent a family of surfaces for different values of the constant

. The gradient of the function

defined as

is a vector normal to the surface

.
Given <span>the paraboloid

.
We can rewrite it as a scalar value function f as follows:

The normal to the </span><span>paraboloid at any point is given by:

Also, the normal to the given plane

is given by:

Equating the two normal vectors, we have:
</span>

Since, -1 = 2 is not possible, therefore
there exist no such point <span>
on the paraboloid
such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>
.
Answer:
the base is 6 inches, the height is 4.5 inches. Multiply that by usinhg the formula A = bh your answer will be 27 then multiply that by 60 and your answer is 1,620.
Step-by-step explanation:
Answer:
4 servings : 2 potatoes and 4 celery sticks. Find the number of potatoes and celery sticks in 6 servings. 6/4 = 1.50 2 potatoes x 1.50 = 3 potatoes 4 celery sticks x 1.50 = 6 celery sticks 6 servings of stew has 3 potatoes and 6 celery sticks. Other way of computing for the 6 servings is getting the number of potatoes and celery sticks per serving.
Step-by-step explanation:
Answer:
105 text messages
Step-by-step explanation:
7.70 divied by 154 = 0.05
0.05 per text massage
5.25 divided by 0.05 = 105
to check work:
105 times 0.05 = 5.25