Answer:
It is increasing when x < 1
Step-by-step explanation:
If you substitute x = 1 in the equation you get that y = 10 at that point which is the maximum point at which graph reaches in the y direction. As you can see, the slope of the derivative is increasing, which means that the slope of the tangent line is increasing before that point.
Hope this helps
7/5y. you add the 2/5y to the 5/5y and get 7/5y
First add what's in the parenthesis 1/2(3)(12)
then multiply 2 and 12 to get 1/2(36)
finally divide 36 by 2 and get 13
Answer:
It is proved that there exist a basis of V and a basis of W such that with respect to these bases, all entries of M(T) are 0 except that the entries in row j , column j , equal 1 for 1 <= j <= dimrange T.
Step-by-step explanation:
Given V and W are finite dimentional vector space such that where T is the corresponding lineat transformation from V to W.
To prove the requirment let be a basis of dim Ker(T).
Now extend this basis of V to n such that, new basis is of the form . Then basis of range T is of the form, which are linearly independent. Therefore according to rank-nullity theorem dim range T=n.
Now extending basis of range space into :
with respect to the basis (note the reverse order of vectors) of V, the matrix of T has the desired form.
Since for any we have all the entries in the first n-column 0, except the entries in row i, column i, equal to 1 for =dim range (T).
for any
Therefore all the entries in rest of m columns are 0.