a) Let f₁ and f₂ be functions from R to R such that f₁(x) = x² and f₂(x) = x − x². What are the functions f₁ + f₂ and f₁f₂?

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

A:

Q: find a if A=8a

A:

Q: Wathe. Is 1+1

A: The objective is to find the value for 1+1. Let's take the required value as x. To find the required…

Q: b2 over b-a + a2 over a-b

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: r3 Evaluate xp- Vx + V3- x

A:

Q: -4 c4x Evaluate . So S dydx.

A:

Q: Let B = [b1, b2, b3] = -1 -1

A:

Q: find the Valus of xad y for which 2.

A:

Q: Let B = [b1, b2, b3] = -1 -1

A:

Q: if c(p,s,h) is the cost of buying p bags of chips, s sodas, and h hot dogs, use functional notation…

A: If c(p,s,h) is the cost of buying p bags of chips, s sodas, and h hot dogs.We use functional…

Q: Add. -6+ 5+ (-4) (-2) || || ☐

A: Steps and explanations are as follows: When we see an expression like -6 + (-4), we can think of it…

Q: 2 31 Find 24³ – 4A + 5 I. 2. Let A = -31

A: Given: The matrix is A=124-3. To Find: 2A3-4A+5I.

Q: Simplify. State any non-permissible values. x² + 3x +2 3x+6 x-1 x-1 ÷

A: The given expression is x2+3x+2x-1÷3x+6x-1. To Find: simplification to the given expression and find…

Q: Evaluate for the given

A:

Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

A:

Q: Remainder must always be either less than or equal to the divisor. true or false

A: Remainder must be either less than or equal to the divisor . The above statement is true .

Q: let B= [-1 2 7 -3] Find -3B

A:

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: Let ū = (6, 0, – 5) and v = ( – 5, - 3, – 7). 4й + З

A: given: u→=6,0,-5 and v→=-5,-3,-7 we have to find 4u→+3v→

Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: 1. Evaluate: xydydx

A: The given integral

Q: Let A = { 1, 2, 3, 4 } and B = { 4, 6, 8, 10 }. Find A x B

A:

Q: Let B = [b1, b2, b3] = -1 -1

A:

Q: - 12 dt = t2 +t – 2

A: We are using integration after decomposing it into partial fraction form

Q: make the following statement true x=-1 iff, if or only if x2+2x+1

A: Let's find.

Q: HW2: Find A*B and B*A if: 2 3 -3 -5 6. -2 -5 -1 1 -3- || ||

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Q: Let B = [b1, b2, b3] = -1 -1

A:

Q: R. find he Corficient of

A: We need to find coeffiient.

Q: Evaluate f 8tVt² – 1 dt

A: We have to find

Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: Let A = 41 -33 Find -3A. -3A =

A: See this solution in below.

Q: If b + 0, then b

A: Given: If b ≠ 0, To find: then b0 = ?

Q: J 7+6x - x²dx

A: