1 1 S = span 1 1 2

Q: Find (a) ∣A∣, (b) ∣B∣, (c) A + B, and (d) ∣A + B∣. Then verify that ∣A∣ + ∣B∣ ≠ ∣A + B∣.

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Q: R.REF -1 1 0 1 -1 0 CT 5 -13 4 -9 -2 3 0 0 -1 -1 1002 0 1 0 0 0 1 0000 -1 -2

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Q: Evaluate. (2x+1)/x2+x-1  with endpoints 3 and 1.

A: Consider the given function: fx=2x+1x2+x-1 Now plug-in the value x=3 in the function. This gives,…

Q: PLEASE SHOW STEPS  for only part (a) & (b)

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Q: Use the recursion formulas to calculate T4, T5

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Q: Express (a) v = 3t² + 5t – 5 as a linear combination of the polynomials: P, =t² + 2t +1, P, = 21² +…

A: Suppose is a vector space . Dimension of  vector space is 3. The standard basis of vector space is…

Q: (1) How much is 0! ? (by convention on). 0!

A: (1) Given

Q: Let T: P₂ P₂ be a mapping defined by T(a + a₁x + a₂x²) = ao + a₁ (x + 1) + a₂(x + 1)². a) Determine…

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Q: Simplify. [(20)²]³ 8i Enter your answer in the box.

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Q: Determine the Fourier Series of the function f(x)= |x|, -3 ≤ x ≤ 3, f(x) = f(x+6).

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Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: 3.) Simplify (0.75x + 2y) - (0.3x – 0.6y)

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Q: Determine the conjugate of the product of, (3 – 2i) (4 + 3i)

A: solution:-3-2i4+3i=34+3i-2i4+3i=12+9i-8i-6i2putting i2=-1=12+9i-8i-6-12=12+9i-8i+6=18+i

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

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Q: x(3-5х) J - (3x-1)(х-1)* # 2) Evaluate: -dx-

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Q: x² + 6x – 1

A: We have to express  x2+6x-1 in the form (x-m)2+n.

Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here ,…

Q: -3+ 1/2a-4 ...simplify

A: We have

Q: 7x2-6x+1 = m(x – 2) + n(x – 1)(x + 3) + p(x – 5)(x+ 2)

A: We know that a second degree polynomial has the form fx=ax2+bx+c, where a, b and c are constants…

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −2, 4), v = (1, 5, −3)

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Q: (b) Suppose that the actual value of µ is 4 accidents/month. Find (i) the probability of obtaining a…

A: Note: Hey there! Thank you for the question. As you have specifically asked for parts (i) and (ii),…

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −3, −3), v = (3, −3, 3)

A: Given: u=(3, −3, −3), v=(3, −3, 3)

Q: Hypertension A pilot study of a new antihypertensive agent is performed for the purpose of planning…

A: Given Information: Sample standard deviation is 8. Sample size n=21. Significance level α=0.05 (b)…

Q: Sx-2/3 dr

A: The given integral is ∫18x-23dx. Power rule: ∫xndx=xn+1n+1+C

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.