Find the orthogonal projection of f onto g. Use the inner product in C[a, b] (f, g) = f(x)g(x) dx. C[0, 1], f(x) = 3x, g(x) = ex projgf =

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A: Here qe have to solve the determinant

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Q: The expression can be simplified to, √3x + √2 3x Which one of the following is the expression for Q…

A: The given expression Q3x+2 can be simpliefied to 2-6x3x-2

Q: 5 -4 -3 2 a 2 7 -2 -34 -4 +-5+ 1 2 3 4 5 ď

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Q: Which ordered pair is included in the solution set to the following system? y > x2 + 3 y < x2 – 3x…

A: The ordered pair -2,8 is included in the solution set for the given system.

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Q: What are the first five terms of a geometric sequence with a = 3 and r = 2?

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Q: Consider the rational function y = 7x 12 3x - 2 Which one of the following is true? Select one…

A: Given :Rational function :y=7x-123x-2

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Q: 7: The norm of the matrix A O True O False [3 1 11 3. is equal 4.

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other questions…

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: Write the interval in set-builder notation. [-4, 1] U [5, ∞0) O {xl-52 x ≥ 1 orx ≤ 4} O {x|-4 ≤ x ≤…

A: Given, [-4,1] U [5,∞)

Q: (2) Let A € Rmxn and let à be a solution of the least squares problem Az = b. Show that a vector y…

A: Solution

Q: B- If (Z₁ = (3+ i5) and Z₁ = (2- i3) By using Polar form to find Z₁x7₂ 21.01722.721° 23.01722.721°…

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Q: Simplify and write answer using only positive exponents: 3k².(4k-3) -¹ 4k7

A: We have to determine positive exponent

Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: Topic = Limits

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Q: How would you do a check to this problem, using the original wording

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Q: You win a prize and are offered two choices: Choice A: $0.10 on January 1, $0.20 on January 2, $0.40…

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Q: The pattern looks like 6, 10, 15, 19, 24... 4 4 5 Now make a universal formula of nith pattern…

A: this problem follows a pattern in which we add 4 to the preceding term, it becomes 10.and then add…

Q: Find the domain and range of the function graphed b

A: NOTE: Refresh your page if you can't see any equations. . the domain is the set of x-values as we…

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Q: Find all eigenvalues and eigenspaces (bases) for the 3 by 3 matrix [each parentheses O) is a column]…

A: Use eigen value concept

Q: - 209 + कर х Find a 18.6 25.0 0= - X 48800x²

A: The given equation is  -209x2+9.8148600x2-0.57x=0

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Q: Find the determinant of the following matrices: 1 2-i 1) The determinant of 1₁ is : - 3i 1-2i] 1 1-i…

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Q: Investor Matt has $830,000 to invest in a CD and a mutual fund. The CD yields 3.3% and the mutual…

A: Here we have to use the feasible region

Q: Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y ≤ 64 -x+y ≤ 4 x, y ≥ 0 at is the…

A: To find the minimum value of the LPP.

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Q: Given a function described as the equation y=4x-4, what is y when x is 1,2,and 3?

A: We will find the values of  y when x is 1,2,and 3 for y=4x-4 in the following step.

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Q: x²-3x-28 Let f(x) = X-7 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-7 X-0 X-4 a) Select the…

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Q: 1: Which of the following vectors are linearly dependent? 21 1 [11 2 A: and 3 C: B: 2 and 4 [3] d 7…

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Q: The function g(x) 3x² + Bx (−o, 0) U (0,2) U (2,5] Which one of the following are the values of A…

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Q: Question 1 Find 9 h 16 min - 34 min. Express your answer in hours and minutes. h min Dre

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Q: 3. Find all values of λ for which the matrix [A-3 0 0 1+2 0 -5 3 0 2+5 is singular.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as…

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Q: Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

A: The given equation is x3+y3=3z2+9w2+3. We have to prove that there is no integer solution to the…

Q: Justin received an excellent interest rate for his loan of $7,000. Calculate the nominal interest…

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Q: Let T : R2[x] → R2[x] be given by T(a+bx+cx2 ) = a + b(x+ 1) + b(x + 1)2 . Let v = x + 1. Find a…

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