Mount Holyoke College, Massachusetts, USA - Can the vector (3, 1, 1) be expressed as a linear combination of the vectors n the vector (3, 1, 1) be expressed as a línear combination of the e (2. 5. -1), (1, 6, 0), (5, 2, -4)? Justify your answer, University of Western Ontario, Canada

Q: Simplify (22/3.2*/3)

A: We have to simplify the given expression.

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: |8 -5 1| 5. If 5 16 1 = 2, then what is value of x 1l 3 а. 6 b. 5 c. 8 d. 4

A: using the concept of determinant.

Q: O y = |x| 5- 4 1 O y = 3- 2 O y = V¤ а. -5 -4 -3 -2 - 4 5 O y = a? -2 O y = x³ -3 -4 O y = x -5+ 1 2…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4.) 40- (8 x 9) 3+ 10

A: Given expression: 40-8×9÷3+10

Q: Perform the indicated operations. (3-2i)(1- i)- (4 - i)(4 + i) (3-2i)(1- i)- (4 - i)(4 + i) =…

A:

Q: あ。(12イ45 bt-ef e

A: 2x+53ax-53

Q: (2+Si)• (2 + 7i)

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: 3. 4. 7 X 6√2 X X 24

A: 3. We have given diagram of a square Using pythagoras theorem  (Hypotenuse)^2=(Perpendicular)^2 +…

Q: Consider the following equation f (x,y) = x²y. Find the derivative of f in the direction of (1, 2)…

A:

Q: 5 2. 14x dx

A:

Q: 3 3. tan ydy

A: Consider the given integral. I=∫π33π4tan8ydy First calculate the integral. I1=∫tan8ydy

Q: [130 10] 0 0 1 2 The rank of A=| Select one: а. 1 b. 2 С. 3 d. 4

A:

Q: X+ 12 x +5 R 11

A: We can find 'x' as below.

Q: 12

A:

Q: / Find A" if 1 2 3 A = 4'1 5 1 %3D

A:

Q: 7. dz | zV 36z2 - 25

A:

Q: 1 Select one: а. x - 1 1 1 In 2 x2 b. 1 2 In C. 4 In X 2 x2 d. In X 2 + C 2 x2

A:

Q: 3. Find the LCM of 15a b5 and 40a 64. O 120a 65 O 120a*65 O 120a b O 120a 64

A:

Q: 2 |12-x²+ x) dz. -3

A: Given: ∫-32(2-x2+x)dx

Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 -…

Q: f z dz z+1 Ans. 1 - Int

A:

Q: 25 25y" + 20y + 4y = 0

A: we have to solve the given differential equation.

Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: - |xVx +1 dx

A:

Q: 9. 5 3 2 S 2 3 S ds

A: Given integration is ∫5s23+2s3 ds We have to solve the integration. Needed formulae:…

Q: 7 (x+1)2 dx а. 11 x 2

A: Use the substitution method, to simplify the integral ∫x+172x112dx.…

Q: 97 45. -x³dx +

A:

Q: 24 %24 3. ぶ3 3.

A:

Q: A variant of 5.4.18. Cost of Drilling Let the sum of the last two digits of your UST student ID be…

A: (1.) Given: A k-ft. oil well is to be drilled. The cost of drilling the first foot is $10.00, and…

Q: 1 Evaluate dz . +=11.0 (z – 9.0) (2 + 144)?

A:

Q: bim nto

A: when we get 0/0 form, libnitz rule is used.

Q: -4 (70 -1 1 7

A: Given,          70-1-417

Q: graph of f(x) is shown below. Find the graph of f'(x). HI -6-5-4-3-2- 5 -2 I N I T m A 10 16 1 Im 14…

A: Given query is to find the graph of derivative.

Q: 1. (-√6 + i√2)*

A: To simplify: -6+i24=-6+i222=(-6)2-262i+(i2)22=6-23(2)2i+2i22=6-43i-22=(4-43i)2