a. f (x) = 4x + sin(x) - e* = 0

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Q: Consider the vectors 0 ---- If not, V3 = -15] 15 - O Linearly Dependent O Linearly Independent 1 -11…

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Q: = ---- -2 8 span of v₁ and v₂? Let V₁ = and y = -5 -3 For what value(s) of h is the vector y in the

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Q: f(x)= x² - 4x-15 X₁ = 0 X₂ = 8 7L=0.01 f(x)= x² +15x-98 X₁₂:0 XR = 10 Tot = 0.01

A: Given f(x)=x3−4x−15,XL=0,xR=8 Now f(0)=03−4×0−15=−15and f(8)=83−4×8−15=465So root lies in [0,8] .To…

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Q: Determine all solutions for the differential equation Study 4 (cos (x + y²) + 3y) dx + (2ycos(x+y ²)…

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Q: 3. Solve the equation (1 + x²)ux + uy = 0. Sketch some of the character- istic curves.

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Q: Give the negation of each and simplify. x>5 or y 8 100

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Q: Show that if u(x) = el p(x)d then u(r) (z) [/ + P(2)v] - (²) 3)

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Q: Evaluate the integral .2п 6²³ 0 I = cos(20) 5+4cos(0) - dᎾ

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Q: Calculate the dot product, of u and v, where u = 58 î - 75 ĵ + 12 k and 34 Î – 73 ĵ - 97 k. = u.v=

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Q: in M₂ (R). (1) Find a basis of the span of (3)-(1)-(7)

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Q: The solution of the linear system is x= 9- Y 2x +3y x -Y 3x +2y -3z || = 1 = = 23 3 and

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Q: Derive Laplace transforms of the input signals shown in the figures below by summing component…

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Q: How many ways can 7 out of 15 patients with the same illness be randomly selected to receive an…

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Q: Compute the torsion r(t) for the same space curve c(t) = (t, 7 cost, 7 sin t).

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