(1 point) Find the constant term in the expansion of (?1x7+?3x)48(?1x7+?3x)48.
General term of the expansion,
Tr = 48Cr (-x^7)^(48-r) (-3/x)^r
= 48Cr x^7(48-r)(-3)^r(x)^-r
= 48Cr x^(336-7r-r) (-3)^r
= 48Cr x^(336-8r) (-3)^r
For constant term, power of x should be zero,so,
336 - 8r = 0 => r = 336/8 = 42
Hence 43 rd term will be a constant term.
(1 point) Find the constant term in the expansion of (?1x7+?3x)48(?1x7+?3x)48. (1 point) Find the constant...
18 Term with x 5y18 in the expansion of (-3x +y) b. Constant term in the expansion of- z 15
4) In the expansion of (x-2x)", there will be a constant term with Xo. Find the product of the smallest natural numberin) and the value of this constant.
Question A4 The coefficient of the x4 term in the expansion of $ + 3x) is 540. Show that p =
Determine the constant term of each binomial expansion. https://gyazo.com/8ed286d22d699d4d19eec0772b29bd81
Find the term containing x® in the expansion of (x + y) #4 The term containing x" in the expansion of (x+y)+4 is
1. Find the binomial expansion ofr+1-pto the fifth term. [10]
Find the point P on the line y = 3x that is closest to the point (20,0). What is the least distance between P and (20,0)? The point P on the line y = 3x that is closest to the point (20,0) is (Type an ordered pair.) The least distance between P and (20,0) is approximately (Round to the nearest tenth as needed.)
(1 point) Find the angle of intersection of the plane 3x + 3y – 4z = –2 with the plane -5x – 5y – 2z = -4. Answer in radians: and in degrees:
A is the point (-1, 5). Let (x, y) be any point on the line y = 3x. a Write an equation in terms of x for the distance between (x, y) and A(-1,5). b Find the coordinates of the two points, B and C, on the line y = 3x which are a distance of √74 from (-1,5). c Find the equation of the line l1 that is perpendicular to y = 3x and goes through the point (-1,5). d Find the coordinates...
(1 point) Find the maximum and minimum values of the function f(x, y) = 3x² – 18xy + 3y2 + 6 on the disk x2 + y2 < 16. Maximum = Minimum =