The point (a, b, -7) lies on the line L1: [x,y,z]=[3,−1,4]+s[4,3,−1] Determine the values of a and b. Show all your steps

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A: To solve Differential equation.

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Q: 1. Show that u(x,t)= etsin kx satisfies the partial differential equation_u₁ = α² uxx

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Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: write this on paper. I need a step by step handwritten work not just the online calculator

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Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

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Q: Ja x?sin=1rd

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A: Using Integrating Factor formula:

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Q: Q1.B. if k-1 is an eigen value of (₁2). find one corresponding eigen vector?

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Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

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Q: 2. Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 +…

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Given question:- In problems 1 and 2. List both the order of the DE and state whether the DE is…

Q: Find the area of the region bounded by y = 6-x-x² and the x-axis 125 6 (a) A = square units 6 (b) A=…

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Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)=

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Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f''(9). f''(x) =…

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Q: 2. Find the square roots of the complex number: Z = 3+4√7 i

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Q: Find the general solution of the following differential equation. y" + 12y' + 37y = 0 NOTE: Use C₁,…

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

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Q: 7. Let R be the region bounded by y = √cos x, generated when R is revolved about the x-axis. (a) V=…

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Q: A Nathan organized pile X of paper on his desk, and Gerald organized pile Y on his desk. The figure…

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Q: 5. Find the area of the region bounded by y=x² - 6x +5 and the x-axis. 125 (a) A= square units 3 (b)…

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Q: Method of undetermined coefficients. y" -y = 3ex ○ y = c₁e² + c₂e²=* + ²/xe* O y = c₁e* + c₂ex +…

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Q: Solve the following differential equation Ỳ − (sinx) y = 2 sinx

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Q: P/ find the slope and y-interceft of the line. 8x+59=20

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