1. Let S be the space spanned by vectors 1 Vi = and v2 = (a) Find the projecion matrixP associated with S. (b) Find &, the best approximation in , for each of the following vectors: 2 (i) x = (ii) x = (iii) x = Cases (ii) and (iii) are somewhat unusual; explain why you get these results.

Q: -5 dx Evaluate 2x 10 A B c) 1 (D) 2

A: formula:

Q: 30 Evaluate (1 + i)

A:

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: 1 1 dx 3 5 x +x4

A:

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: Find the area of the composite figure

A: Consider the given composite figure. Draw the line segment that splits the given figure to a right…

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

A:

Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: 1 7. 27 2.

A:

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

Q: 18 2h 6h

A: Find the value of h  For which two line segments are equal

Q: 50/21 simplest form

A: Compute the simplest form of 50/21.That is, divide 50 by 21.

Q: 4/11+3/8

A: Topic:- simplification

Q: Find the 7th and 11th term of the expansion (y − x)^14

A:

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 1 3] [1 3 3 0 -1 2. 30 2

A:

Q: ne binomial:

A:

Q: Find a if the 17th and 18th terms of the expansion (2 + a)5⁰ are equal.

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: find the slopet y-intercept the line 2.

A: Given equation of line is  2x+3y=24

Q: Write the first, third and fifth terms of the expansion of (3x – 5y)5.

A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

Q: ext dx 8X-X

A: We have to evaluate the ∫dx8x-x2

Q: 36 70

A:

Q: In the expansion of (x + 4/x)12, find the term without x. a. 63 360 C. 506 880 b. 126 720 d. 3 784…

A:

Q: d'a b. = -ka dt? Solve the differential equation and Express the x as a function of trigonometric…

A:

Q: 17 8 15 Find show work please 2.

A:

Q: Find the coefficient of x8 y18  in the expansion of (1x2  -4y6)7

A:

Q: Write the binomial expansion of (2x – 1) as a polynomial in simplest form.

A:

Q: mplify. (76)2

A:

Q: efind the intergrationa

A:

Q: 3 S x²_9

A:

Q: Secă KosX

A: