It will be -1 and -6 because you would move down 12 times
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:
1, 2 or 3 hours
Step-by-step explanation:
The inequality would be $20+$8x ≤ 50
$20 deposit plus $8 per hour times the # hours so you don't go over $50 so x could be 1,2,or 3 hrs.
Using the arrangements formula, considering the given digits, it is found that Edward writes 6 numbers.
<h3>What is the arrangements formula?</h3>
The number of possible arrangements of n elements is given by the factorial of n, that is:
In this problem, the first digit has to be 5, while the other three are arranged, hence the total number of arrangements is given by:
More can be learned about the arrangements formula at brainly.com/question/25925367
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