Prove that: n² + 3n 1 →> 2n² + 1 2 You may use any results from lectures, but you must state them clearly.

Q: Find r(t) and v(t) if a(t) = tk, v(0) = 15i, r(0) = 14j.

A:

Q: Show that if A × B = B × A then A = B

A:

Q: Find a x b, and c* (a x b) a = 2i + 3j - k, b= -1 + 4j + 5k, c = 2i + 3j + 4k Show all steps

A:

Q: Which of the following is equal to (2° – 7æ)*dx = (x6 -

A:

Q: Which expression(s) is (are) equivalent to 5 (x+9) + 7 (y + 2) – z? Select ALL that apply. O 5x +…

A: Answer is 4x+7y+59

Q: acosa (x)+-5sin (x)-4-O

A: Consider the equation,

Q: Which of the following is equivalent to 3x²(-2x)e-x² + e-x²16x O -16xe-x²(x² - 1) O 16xe-x²(x² + 1)…

A: Given query is to simplify the expression.

Q: Suppose that |u xv = 7. Find ||(5u + 6v) × (3u - 9v)||-

A:

Q: 00 (2n +1)" n2n n=1

A:

Q: given 7(x-1)=2(3x+2) prove x=11

A:

Q: Evaluate using the substitution method. √ dz 2x4 (6 +x5) 4 2 1 [(26²du) - 15 (6+23)² + = = + C +x5)³…

A: Given ∫2x46+x54dx

Q: 9. Find the quotient and the remainder of x³ + 2x² – 1 divided by 3x2 +1 in Z7[x].

A: Note that for Z_7  Any number is equal to the remainder when it is divided by 7.

Q: a) 1 (x-1)(x+2)(x+4)

A:

Q: What is a simpler form of 5n(3n3-n2 + 8)?

A:

Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

A:

Q: 3x-11 mang má O a. Inkx+6Xx-17+c O b. In x-1)(x+67+c Ocinkx+1Xx-6+c Od. Inx-6)(x+1)+c

A:

Q: A D 15. Simplify. (2 – 5) (42² – 2z + 1) 4x³ – 22z² + 11z – 5 O 423 + 22z² + 1lz +5 O 4x + 22a² +…

A: