Calculate the norm of the linear functional 1 į t f(t) dt on each of the spaces 0 (C[0, 1], || ||) and (L´[0, 1], ||· || ₁). f þ

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Q: Let F(x, y) = -o (a) + F. dr + j. Find the value of the line integral.

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Q: Solve the system using Cramer's Rule. If D = 0, solve the system by using Gaussian Elimination. -x +…

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Q: -2 Period: 4324 3 1 -1 -2- -3 1 A Based on the graph above, determine the period of the

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Q: Let z = 7 (cos (7π/9) + i sin (7π/9))  and w = 6 (cos (2π/3) + i sin (2π/3)).  If zw is expressed…

A: Introduction: A complex number has many different representations. These are the rectangular…

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Q: show a complete and detailed solution

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Q: Correct. Solve the given initial value problem. ○ xy² + xy³ = 0 Oxy² = y³ = 1 0x²y² + y² = 3 Ⓒx²y² +…

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Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: To find- Translate each argument into symbolic form (using the suggested letters) and determine…

Q: QUESTION 13. Recall that, in graph, a walk of length n20 from vertex a to b is an alternating…

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Q: (b) dy Given a first order differential equation -= e²-x² (2x+1) sin x-2xy dx (i) (ii) (iii) Justify…

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Q: Example 5: B(0, t) = {(X1, X2); |X1| < t, |x₂] < t} in (R², ||· ||∞) is an open ball. But {(X1X2,…

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Q: (a) Draw a picture of a simple (undirected) graph G whose adjacency matrix is 01001 0 1 0 0 A = 1…

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Q: A car dealer has room for up to 40 vehicles for a clearance sale. There is a total of up to 186…

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Q: Use variation of parameters to find the general solution of the differential x²y" - 5xy + 5y = 4x6…

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Q: Find a general solution to the differential equation. - 12/2e³ y"+ +4y=3 tan 4t 3t The general…

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Q: Find the characteristic polynomial of the 3 x 3 matrix, A, where

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A: Explanation of the answer is as follows

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Q: the ODE find Given that {x, x¹, x²} is a fundamental set of solutions to x³y"" + x²y" - 2xy' + 2y =…

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Q: A rocket sled having an initial speed of 112 mi/h is slowed by a channel of water. Assume that…

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Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 4x² + y² = 16 r(u,…

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Q: Use logarithmic differentiation to find the derivative of y. 20) y = (x4 + 1)³(x - 1)2x4

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Q: Determine the following particular integrals: -{3x²e-x} 2.1 2.2 1 D² + D-1 1 D² - D+2 {8 sin x cos…

A: To Determine: the following particular integrals:   2.1 1D2+D-13 x2 e-x 2.2  1D2-D+28 sinx cosx

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Q: 3. Answer the following, related to tossing a biased coin 8 times, where the probability of a HEAD…

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Q: Problem 5: Let z, y EV(G) show that if d(x, y) = k that lecc(r) -ecc(y)| ≤k.

A: Given: A graph G such that x,y∈VG and dx,y=k.   To show: eccx-eccy≤k

Q: 3) 4) 1 x-y + 2z - w = -1 2x + y2z2w = -2 -x + 2y4z + w = 1 3x3w=-3 1₁ 21₁-12 + 313 + 4/4 = 9 213 +…

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Q: Sorry I am having a hard time with the answers you put down. Can you maybe write them more clerly?

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A: Given Data: The second order differential equation equation     x¨+μ(x2-1)x˙+x =0 where μ is a real…

Q: a. Find the most general real-valued solution to the linear system of differential equations x₁(t)…

A: Sol:- First solve the system of differential equation :- x' =54-3-2xA first order linear homogeneous…

Q: Question 8 Suppose 14 blackberry plants started growing in a yard. Absent constraint, the blackberry…

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Q: this was incorrect

A: We will use properties already mentioned .

Q: Solve the following Higher order Differential Equation y(4)- y"+2y-0

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Q: QUESTION 5. Consider the following functions: g: R→ Z g(x) = 5x] -1 f: RxR → R f(r, s) = r - 2s…

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Q: Given a second order linear differential equation as follows, 4y"-27 y'-7y=cosh (7x) - 2e

A: We find required solution.