Let A = -3 and b = [b₁] b2 [b3 2 −1 -8 have a solution for all possible b, and describe the set of all b for which Ax = b does have a solution. Show that the equation Ax = b does not

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A: The first system of equations is      -3x - 86y - 97z = -30   . . . . . . . . . (1)             +…

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Q: The principal part for b)-10x of or →D OT a)-5₂ () 26/7

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Q: Subject: Numbers Theory Factorize 7663 by using Fermat factorization method.

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Q: Solve the system x1 = x2 = x3 = X4= X1 3x1 -> A F - +2x3 -2x3 x2 -3x2 +16x3 -X2 +2x3 +3x4 - 2x4…

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Q: Provide a counterexample to show that the following statement is false: "If U₁, U₂, W are subspaces…

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Q: 2.056 2[1.5]* 0.4525 750 0201 =

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Q: Determine whether the statement below is true or false. Justify the answer. Elementary row…

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Q: Exercice 8: 5 5) 6 Pour tout nombre complexe différent de 1, on définit le nombre complexe Z z-x+iy…

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Q: 4- Find the volume of the region in the first octant bounded by coordinate planes x+y=1, y + 2z = 2

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Q: 3. Find dy: dx @y= (b)y= 8VX +8ײ16× 5 3 × 3 3 -7x

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Q: 18 2 4. What is the slope of the curve above at point A? A 4 B X

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Q: Solve the matrix equation below: a) 2a NO 3 b 4-7d] b) Find 4A + B 2 = - [8, 1²] -9 [1 A = 6 13 L7 5…

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Q: Find the exact aera between the curves f(x)=√x and g(x) = x² over the interval 0 ≤ x ≤ 1. You should…

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Q: Let p(x) = ax + An−1x²- + + a₁x + ao be a polynomial function with n > 1 an odd integer and an a…

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Q: Demand for devil’s food whipped-cream layer cake at a local pastry shop can be approximated using a…

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Q: Part G Given the same coordinate system as the one shown in Part F, what are the components of C?…

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Q: The Fibonacci sequence is defined by Fi = F = 1 and F. - F-1 for n>2. Show that F, is even if and…

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Q: Solve the initial value problem with y(0) = 3. y = dy dt + 2y = 20 sin(t) + 25 cos(t)

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Q: 11. Consider the plane and the line with these equations: 0 = 2x + y -z + 10 a) :. e must b) Find…

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Q: Evaluate the following limits. If necessary, enter INF for ∞ and -INF for -∞. a) lim (3e¹0-7x) = x→∞…

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Q: Identify all the cluster points and  limit points of the following set   the open interval (2, 5)

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Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use -∞o and ∞o…

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Q: Verification For each differential equation, verify by differen. tiation and substitution that the…

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Q: roblem 10. First write the augmented matrix of the following system. Perform row operations on the…

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Q: 1st-order linear equations a, b are given constants ≠ 0 Solve the equation

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Q: the answer is right for going arond the y- axis but what about the x-axis?

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Q: answer b and c ...

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Q: A country's census lists the population of the country as 245 million in 1990, 289 million in 2000,…

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Q: 15. Find the exact distance between the skew lines=(-3-2,4)+(1-11) and-(1,20)+(-2-23)

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Q: Use Euler's method with n = 4 to estimate y(0.4), where y(t) is the solution of the initial-value…

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Q: 2x+3y−z=1 4x−y+2z=7 3x+2y−3z=4 Apply Gaussian elimination to solve the system and find the values…

A: 2x+3y−z=14x−y+2z=73x+2y−3z=4We apply Gaussian elimination to solve the system and we find the values…

Q: Use the differential equation below to answer the following questions: y = -3y PART 1. Find the…

A: a.                y' = -3y          ⇒  dydx = -3y         ⇒  Integrating, we get      = -3x +…

Q: 2. Consider the following interpolating points for the function f(x) = sin x: 1 1.3 1.6 f(x) 0…

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Q: Directions: Determine whether the following integral is divergent or convergent. If it is…

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Q: 2. Solve the following initial value problems: dy a) +2y= 3, y(0) = 1 dt dy b) 10 + y de sin 0, 0…

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Q: udge the observability of the following systems. -1 (x = [²₁ = 3] x + [₁¹] ₂ -3 (x= [¹₁8]x 1 X

A: Observability is a property of a system that determines how well its internal states can be inferred…