Deion practiced piano for 5/6 hour on Saturday. On Sunday,practiced 1/2 as long as on Saturday. Which best describes how long De
2 answers:
You might be interested in
Answer: d. (17, 20)
Step-by-step explanation:
We have the following system of equations:
(1)
(2)
Isolating from (1):
(3)
Substituting (3) in (2):
(4)
Isolating :
(5)
(6)
(7)
Substituting (7) in (1):
(8)
Isolating :
(9)
Hence, the correct option is d. (17, 20)
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>.
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
Equating the two normal vectors, we have:
</span>
Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid