Expand the expression using the Binomial Theorem.(x - 1)6
A. x6 - 6x5 - 30x4 - 120x3 - 360x2 - 720x + 720
B. x6 - 6x5 +30x4 - 120x3 + 30x2 - 6x + 1
C. x6 - 6x5 +15x4 - 20x3 + 15x2 - 6x + 1
D. x6 - 6x5 - 15x4 - 20x3 - 15x2 - 6x - 6
Answer: C
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Provide an appropriate response.Which order of differentiation will calculate fxy faster, x first or y first?f(x, y) = x2y +
A. y first B. x first
Find the domain and range of the inverse of the given function.f(x) = x - 9
A. Domain: (-?, 6) ? (6, ?); range: all real numbers B. Domain and range: (-?, 6) ? (6, ?) C. Domain: (-?, 9) ? (9, ?); range: (-?, 6) ? (6, ?) D. Domain and range: all real numbers
Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5
A. = yex2(1 + 2x2);
= x;
=
= y + xex2
B. = 2yex2(1 + 2x2);
= 2x;
=
= 2y + 2xex2
C. = 2yex2;
= 2x;
=
= 2y + 2xex2
D. = 2yex2;
= 2x;
=
= 2xex2
Use the rational zero theorem to find all possible rational zeros for the polynomial function.P(x) = 2x3 + 5x2 + 6x - 8
A. ±1, ±2, ±4
B. ±1, ± , ±2, ±4, ±8
C. ±1, ±2, ±4, ±8
D. ±1, ± , ±
, ±
, ±2