Consider the graph of y = f(x), shown below. 5- 3 2 1 -5 -4 -3 -2 -1 H 13 -4 1 2 4 The maximum function value is and the minimum function value is The function increases on the interval and decreases on the interval at x = at x =

Q: Prove that for every integer n ≥ 3, (1¹ – 31) (¹ − 4 ) ··· (1¹ – ²/1 ) - 32 (n+1)(n+2) 6n(n − 1)

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Q: of the A. Write te vertex Form of following quadartic Function +2+8x-20 y = 2²² +4 + + 2 1-y= 2.

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Q: Let fn(x) = x^n for x ∈ [0,1]. check if it is pointwise convergence. Define where it becomes…

A: Given, fn(x) = xn , x ∈ [0,1].We will check poitwise convergence of fn on [0,1].

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Q: 81 70.88 60.75 50.63 Answer 49/5 30/38 20.25 10.13 -10-9-8-7 -6 -5 -4 -3 2-1 -10.12 -20.25 -30.37…

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Q: Matrix A has 3 rows and 2 columns. Matrix B has 2 rows and 3 columns. Matrix C has 2 rows and 2…

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Q: ind the coordinate vector [x]g of x relative to the given basis B= (by, by by) b₁ = -1,b₂ = -4 -3 2…

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Q: 1. Let Also let (a) Sketch or describe the region R. (b) Calculate I. R= : {(x, y, z) € R³ : 1 ≤ x²…

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Q: 2. Sketch a graph of r = 1 - sin 0 and r = 1 on the polar coordinate system provided below. Assume 0…

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Q: 31. (a) Use the Midpoint Rule and the given data to estimate the value of the integral (32 f(x) dx.…

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Q: -5 14 -3 -2 -1 5 4 3 2 -1 -2 -3 -4 -5 h(x) The function h graphed above is: Increasing on the…

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Q: Question Given: DE DF, AE LED and CFL FD. Prove: AADE ACDF. Step Statement DE DF AEED CF FD Reason…

A: It is given that.. To prove that .Let us draw the diagram as follows.

Q: ΣΧ = 120, ΣΥ = 367, ΣΧ2 = 3070, ΣΥ2 = 27517, ΣΧΥ = 9098 and n = 5. 1) The slope of the estimated…

A: Note: According to the guidelines we are allowed to solve three subpart at a time. Please post rest…

Q: Assume that the recursively defined sequence converges and find its limit. a₁ = 3, an+ 1 42 1+ an…

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Q: Assume all matrices are invertible. Note that c cannot exist by itself in a matrix equation. Solve…

A: Given, all matrix are invertible.XA = cX + IAlso c can't exist by itself in a matrix equation.

Q: 1. Find all solutions of the congruence 5x+3x²+x+3 = 0 mod 30.

A: The congruence .To Find:Solution of the above congruence.

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Q: Problem #3: Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. A…

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Q: Which of these statements never can be true? A) tanx = 500 B) Cosx =0,999 () sinxcosx 5,000 = Q)…

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Q: It is not always possible to construct by ruler and compass, a square equal in area to the area

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Q: 27. Let W be a subspace, and let S be a spanning set for W. Find a basis for W, and calculate dim(W)…

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Q: 3. Complete the square and state the vertex, for the following equation=-0.1x² – 0.6x – 0.4.

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Q: Let F be a field and let n be a positive integer. Then There exists a primitive nth root of unity in…

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Q: Exercise 6.1.14: Find the Laplace transform of sin(w(t – a)).

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Q: @ © Find the particular solution for y² + 4y = 3 (Sc (²x) at 3 (SC(2x) at y(0)=1 & yo = -6

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Q: Solve ONE of the following problems using a modern method: . Approximate √31 to six decimal places.…

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Q: 4. Determine algebraically whether the given linear and quadratic functions intersect. If they do…

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Q: Show that the identity k n = n 72 n k k-1, olds for all integers 1 <k<n and use it to prove that n…

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