Answer:

Step-by-step explanation:
Solving for the variable
, given that :

We can first start start by subtracting
from both sides of the equation:

Now, we can divide both sides of the equation by the coefficient of
, which would be
:

Applying the fraction rule
:

Then, apply the fraction rule 
Given: 3y cos x = x² + y²
Define

Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)
Answer:
Answer:
A. False
B. True
C. False
D. True
Step-by-step explanation:
Only three dimensional subspace for R3 is R3 itself. In a 3 d subspace there are 3 basis vectors which are all linearly independent vectors. Dimension of a vector is number of subspace in that vector. Finite set can generate infinite dimension vector space.