9. Determine the number of points of intersection for the planes: ₁:3x-6y + 12z - 6= 0 and ₂: 2x - 4y + 8z-4 = 0

Q: (s-14)4 te-14 6 tBe4t 5) 6 t324t =) 6 a) then the function f(t) can be: 82 +58 + 14. 8 7 31 s²+ } 8²…

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Q: Find Laplace transformation of: -2 t e -1 t

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Q: In a standard normal distribution, P(-2.1 < Z< 1.9): a) 0.9713 b) 0.0179 c) 0.9892 d) 0.9534

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Q: II. Prove the following assertions using indirect proof. a. If x² is integer greater than zero, then…

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Q: BA)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: Given  function f(x,y,z) =x2y2z2-4     …………………………i ∇f=2xy2z2 i^+ 2x2yz2 j^ +2x2y2z k^ ∇f|at…

Q: 5 Given A=-2 6 0 2 92719 2, and X= x₂ show that XTAX = 27, suggest that 5X + 6X3+7X3-4X₁X₂ + 4X₂X3…

A: Solution:

Q: 2] Evaluate the double integrals over the given region R. afferan alle R: 0≤x≤ In2, 0≤ys in 2 bll…

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Q: Q2A)Matrix 4 = [],find Eigen values of 1² A dy B)Solve differential equation=-(x²+y) dx x+siny

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Q: Find the mass and the center of mass of the lamina with density p(x, y) = rectangular region 1≤x≤3…

A: To find the mass and the center of mass of the lamina. Given that density function is ρx,y=yx2 and…

Q: Integrate f(x) = 0.5 + 20x + 3x4 from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation

A: Simpson's 38 rule: ∫abydx=3h8(y0+2(y3+y6+...+yn-3)+3(y1+y2+y4+y5+...+yn-2+yn-1)+yn), where h=b-aNand…

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A: Given: The function px approximates the function fx with a maximum error of ε over the interval a,b.…

Q: Solve the initial value problem by using the Laplace transform. y"-5y +6y=4 sin 3r, y(0)=0 and y'(0)…

A: We know L{ y"(t) } = s^2 y(s) - sy'(0) -y(0)  L{ y'(t) } = s y(s) - y(0)

Q: fy=sin-¹ find Zy

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Q: In spreadsheet of variables view we can define the font variables data format Which command is…

A: In SPSS, we define variables in variable view tab.

Q: Let 21 = 2(cos(267) + sin(267)) and 22 = 18 (cos(60) + i sin (60°)). Compute each of the following…

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Q: Determine solutions for the equation 5 sin2x + 2sinx = 0 in the interval x [-2π, 2π] algebraically.…

A: Given equation is 5sin2x+2sinx=0. We have to find the solution of the given equation in the interval…

Q: whats 065 when $ is oilers Fundion

A: Solving first question.

Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = // x

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Q: Let f be an integrable function in the interval [a,b], and let c be a real number such that c €…

A: We need to use the value of ∫abf(x)dx and ∫bcf(x)dx to determine the value of 9∫acf(x)dx.

Q: - Find normal line and parallel plane to the function f(x, y, z) = x²y²z² — 4 At point (1,-1,2).

A: For a surface given by f(x,y,z)=0 . Gradient vector ∇f=fx,fy,fz will be perpendicular to the surface…

Q: The properties that could be used to find laplace of (te-2t. +sint+cost)2U(t+6) for all t20.…

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Q: Find the value of a and b if. a=2&b=9 >ite} sho= &b=3 ܂ 0 " 3 (s+a) +b &b=3 a=-&b=9

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Q: The solution of the differential equation (2x - 1)y + 2y = 0, can be represented as a power series…

A: The given problem is to find the radius of convergence of the power series solution of the given…

Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

Q: x=4-s+t Find a vector of length √2 which is perpendicular to the plane π =y=1+ s-t z = 1+s+t

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 3. Test the convergence of the series an O Converge O Diverge O Fail test 100 2n=1 n*+2n²+1 75 +3

A: We will check whether the given series convergence or divergeent .

Q: 8. Find a vector that has the opposite direction as u = but has length 4.

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Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

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Q: Find the root of the equation + sinx = 0 using bisection X 2 method in the interval [1, 2.5] correct…

A: We have to find the root of the equation -x2+sinx=0 using the bisection method in the interval 1,2.5…

Q: let a=2+7i b=4-2i Choose the correct result of a/b O (6-361)/20 O (-6+361)/20 O (-6-36i)/20 O…

A:

Q: let a=2+7i b=4-2i Choose the correct result of a/b* O (6-361)/20 O (-6+361)/20 O (-6-361)/20 O…

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Q: 3. x³7x² + 14x6 = 0

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Q: 9. What is the domain and range of the function f(x) = x² + 4

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Q: In the assignment problem, the optimal solution is arrived when: a. Number of rows less than number…

A: An assignment problem will have an optimal solution when the number of lines is equal to the sum of…

Q: (b) Finn looks at a map of 4G mobile towers in his area. There is one at Stormer Hill and another at…

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Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

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Q: simplification is to isolate terms and identify the dominant term. For instance, we might want to…

A: fx(n) =log2log2n+3for n→∞log2n+3 =log2n

Q: (a) Assume that f(x, y, z) and F (x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 9. How many possible routes can Lisa travel from her home to her school if we assume that she can…

A: Please see the attachment

Q: solve partial differential equation r-4s+4t=0

A: Given PDE is r-4s+4t = 0

Q: Use the first derivative test to determine the location of each local extremum and the value of the…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Given curves are y=0 and y = x-x2

Q: b) Change the order of integration in the following double integrals: 1. ff(x,y) dxdy. 2. ²-y²…

A: We will change the order of the given integrations

Q: Apply Gauss's theorem to evaluate. r.^ frds or ff. n.V(!) ds or ff - () ds Ən where S is any closed…

A: Given  ∫∫Sr.n^r3ds where S is any closed surface. By Gauss-divergence theorem,  ∫∫Sr.n^r3ds=∫∫v∫…

Q: ( W + ) )² + (0-3679K - 1:3679 ) ( W + ₁) + 0-3679 +0-26421-0 -)

A:

Q: Define w:= 1+₁=1+, and 7:= 1+√5. Determine IQ,0.7](Q).

A: Here given ω=12+-32, σ=-12+52, τ=12+52

Q: y=xy'-3ey' solve the differential equation

A:

Q: 1. Solve the approximate root of f(x) = x^5 -3 using at least 5 iterations on Bisection Method with…

A: Given function is f(x)=x5-3 With a=0, b=10 Here f(0)=-3&lt;0f(10)=9997&gt;0 Since f(0)f(10)&lt;0…

Q: b) Find the area enclosed between f(x)= = -x² + 4x and g(x) = x² - 6x + 5, over the interval 0≤x≤ 1.

A: Sol

Q: vector v has initial point P₁ = (-1,2) and terminal point P₂ = (x, 14). Find all numbers x so that v…

A: We have to solve given problems: