Let L be the line given by the span of A basis for Lis 6 in R³. Find a basis for the orthogonal complement L of L. 3

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Q: Express e(1/2-6) in the form a + bj.

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Q: Define a mapping T:R³ → Rªby - y (ED). x+y y-z 3z i) Determine whether T' is a linear…

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Q: Q2\ Prove the following identities sin 20+cos 20+1 a) = cote sin 20-cos 20+1

A: Here given equation   sin 2θ+cos 2θ+1sin 2θ-cos 2θ+1=cot θ

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Q: The real part of cot(1 + j2) is.

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Q: Translate the following Hindu-Arabic numeral into the equivalent Roman numeral_ 663 In Roman…

A: D is equivalent to Roman number 500,C is equivalent to Roman number 100 and L is equivalent to Roman…

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Q: Let A(z) = f(t)dt where f is the function given by the graph bele 3 2 1 2 3 4 5 7 1 -2 -3 -4+ A(5)=…

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Q: ering different paths of approach, show that the function has no limit as (x,y)-(0,0). f(x,y)=- Find…

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Q: h that y(t)=x(t)h(t) (1

A: It is given that: xt=ut+2ht=e-2tut

Q: c) Define the linear transformation T: R³ →R² by T([])= [² = ³6 ] a - 3c +b- Find a basis for the…

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Q: Find the وال dx² Please solve in a quarter of an hour please 9(0) = 1 g(0)=2 dy-129=0

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Q: () 1 (b) Find the length of the component of the projection of the vector a = vector 6 = 2 () onto…

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Q: Use a proof by contradiction to show that the difference of any rational number and any irrational…

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Q: A pencil cup with a capacity of 33 in.3 is to be constructed in the shape of a right circular…

A: Volume of the cup (V) = 33 in3  Material for sides costs = 29 c/in2  Material for base costs = 46…

Q: 8. Calculate the following limits. (a) lim (x,y) (0,0) √x - √y+1 xy-1 (x+y+1) (b) √2x-y-2 lim…

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Q: Evaluate the power series expansion 8 In(1 + x) = (-1)"-15 at x = 1 η n=1 to show that In (2) is the…

A: In this question, the concept of the alternating series test is applied. Alternating Series Test The…

Q: 2. Find the Maclaurin series of f(x) = tanh ¹x 4. Using the binomial series, find the power series…

A: Given that, fx=tanh-1x, We have to find the Maclaurin series. we know that, ddxtanh-1x=11-x2.

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A: Introduction: In manage device engineering, the Laplace transformation is crucial. Laplace…

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Q: For the figure shown below, find the sum of the areas of all the semicircles.

A: Introduction: Are sizable functions of -dimensional bureaucracy in arithmetic. The perimeter of a…

Q: The degree of precision of the quadrature formula Q[f] given by f(x) dx = Q[f] =1²f (²) - ƒ) +²1 is:

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Q: Thingamabob Sales Yaster Inc. is trying to enter the thingamabob market. The research department…

A: At break-even, revenue will be equal to the cost.

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Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

A: This is the problem from the area under the curve.

Q: Question 2: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3…

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Q: (7) Which changes the order integration 2 To Tax Six,y) dydix ? 2X 2 os to lyn Hexy dxdy b) √ ² do…

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Q: 1. Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x =…

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Q: Consider this nonlinear dynamical system da = 2x - x² - xy, dt dy = xy - Y dt a) Find the…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 4 Given integral is ∫0πsintdt or ∫0πsinxdx. We have to estimate the given integral by using…

Q: + Is f one-to-one? is fonto? f:w→ z defined by f(n) = n! = (1) (2) (3)... (n − 1)(n) with 0!: = 1

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Q: Find the area bounded by the curve y = x³ and (a) the lines y = 0, x = 2, (b) the lines x = 0, y =…

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Q: Find the Taylor series of  f(z) =ln z  with center 2i

A: The Taylor Series of fx centered at x=a fx=∑n=0∞ fnan!x-an

Q: let V = M2x2 (R) M = { A € V A = A} N = {AEV A = -A²} Subset of the vector space V The answer must…

A: Direct sum of the subspaces

Q: t 12² 12=2 / 1x1₁2) dy dxde you (18) Consider the triple integral Bron 1₁ 122 √2-2 Which will not…

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Q: 1. Evaluate the following integrals: S; dx -x² + 4x - 3 f) . dx (x − 2)√√x² − 4x + 3 -

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Q: Solve the initial value problem. y' + 7y= 1, y(0) = 1 y= (Type an expression using t as the…

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Q: Calculate 26 where z = 1 − 2j. [Hint: Pascal's triangle.] Calculate z¹0 where z = √3-j. [Hint: Use…

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Q: X X Oml 0 1 4 2 3 9 16 لیا

A: Given data is x 0 1 2 3 y 1 4 9 16   Now forward difference table is x y ∆y ∆2y ∆3y 0 1…

Q: Determint the function in the interval fourier series f(x)=2x-20 of the in the -3<x<3

A: As per the question we are given a periodic function f(x) = 2x - 20 for, -3≤x≤3 And we have to find…

Q: 1. Find the Laplace transform of the function: f(t)= t¹3¹0-13cos³ (t) + et sin(10t) cos (13t)

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Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

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Q: 3. Consider a predator-prey model, z (r-ray), r r, K, a>0, (1) y(-b+cz), b, c> 0. (2) The variable z…

A: Given: The predator-prey model, dxdt=xr-rxK-ay, r,K,a&gt;0 dydt=y-b+cx, b,c&gt;0 Here, the variable…

Q: 2₁ Let the matrix A and its reduced row echelon form R be given by the following. 1 1 -3 1 1 -2 1…

A: Since you have posted a multi subparts question according to guildlines I will solve first(a,b,c)…