Answer: The correct option is
(A) If F and G differ by a constant, then f = g.
Step-by-step explanation: According to the given condition, we have

We are to select the correct statement.
Let F(x) = p(x) and G(x) = p(x) + c, c - constant.
Then, we get

Therefore,

Thus, if F and G differ by a constant, then f = g.
Option (A) is CORRECT.
Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.
Yes because 12 is a half of 24 and 13 is a half of 26 which all equal to 1/2 . So the answer is YES
a box plot is a graph that summarizes numerical data based on quartiles, which divide a data set into fourths
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>
.