ercise 6.2.2: Determining whether a subset of a vector space forms a subspace. info About Determine whether each subset of a vector space forms a subspace. (a) The subset W of Pn that contains all polynomials of degree n or less that have all negative coefficients. (b) The subset W=R+ of R where addition is defined as x+y=xy and scalar multiplication is defined as c⋅x=xc (c) The subset W of Rn×n for which the trace - the sum of the diagonal entries of a matrix - is zero. (d) The subset W of C[a, b] such that limx→x0f(x)=M where a

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.

the answer to your question is b.