What is the measure of angle 1? 20° 42° 138° 160°
2 answers:
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This is not true. The infinite series
converges if and only if the sequence of its partial sums converges. The
-th partial sum is
but clearly this diverges as gets arbitrarily large.
converges if and only if the sequence of its partial sums converges. The
but clearly this diverges as
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