Given u = i - 2j + 3k and v = -i + 3j - 2k find a) u X v (the cross product) b) show u X v is orthogonal to both u    and v

Q: function. Write f(x) = cos(asin-'(x)}) as a polynomial function, then graph the

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Q: 2c) Set σ = √₂ + min(|A2 − A3|, |A1 − A2|)/3. If you run power iteration on (A-oI)-¹, what will the…

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Q: A smooth curve C is defined by some vector function R(t) with R (1) = (л, 0, −2) and R¹(t) = (2, √√5…

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Q: 5. Use the Lagrange multiplier method to find stationary point(s) for the following function.…

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Q: definite integral refers to portion of the graph. ▪ Indefinite Integral is the summation of all…

A: Given That :  integral ∫abf(x)dx To Explain : Definite and Indefinite Integral

Q: A smooth curve C is defined by some vector function R(t) with R (-) = (7,0,−2) and R′(t) = (2, √5…

A: Introduction: The moving trihedral of a vector curve is its unit tangent vector, unit normal vector…

Q: Express b¹yy, in the terms of x variables where y, cx, and b¹c₁k = 8½.

A: Given: The expression is bijyiyj.  To express: The given expression in term of variable x. It is…

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Q: Which of the following represents the volume of the solid in the first octant bounded by the…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Which of the following is NOT TRUE about the sequence 2n 1+2n ? O is a lower bound of the sequence.…

A: We have to find which of the given statement is wrong about the given sequence.  2^n/(1+2^n)

Q: A trough is 9 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

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Q: sive the inte

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Q: Systems of first order equations can sometimes be transformed into a single equation of higher…

A: Given the system  x1'=-2x1+x2x2'=x1-2x2

Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the…

A: Note : As you asked both questions to be solved so that i answered here both the questions.

Q: Consider the function f(t) = Let F(t) be the antiderivative F(t) = 7 sec²(t) 5t². of f(t) with F(0)…

A: Given, ft=7sec2t-5t2 Ft is the anti-derivative of ft with F0=0.

Q: f (x₁,x2,... xn) with k numb 9 of constraints by the Lagrange Multiplier method will result to a…

A: This is a problem of optimization.

Q: Let H≤G & KG. Show that HnKH. Let H◄ G & K G and assume that Hn K = {e}. Show that if aeH & beK then…

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Q: prove that for operatrs a and b which comute with thier commuters[a,b]=c,so that [a,c}=[b,c}=0 ,…

A: We know that ekABe-kA=B+kA,B+k22!A,A,B+... Given that A and B commute with their commutator then…

Q: D Question 9 Set up but do not evaluate an integral that represents the volume of the solid of…

A: Sol:- The volume for solid of revolution between curves is the volume of object between a curve fx…

Q: Solve RESISERE d³x dt3 +79²x dt² PERS + 6x = 0

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Q: Consider the first order system y' the system. = [23] y. Find the general real-valued solution of

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Q: Given that C = C₁ U C₂ U C3, where C₁ is the line segment from (−1, −1) to (0, 0), C₂ is the line…

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Q: 2. Let H ≤ G and define = on G by a = b iff a¯¹b € H. Show that =µ is an equivalence relation.

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Q: Consider the following system of equations. 2x1 + X2 + *3 = b1 X₁ - 3x₂ + 4x3 = ₂ -X1 + x3 = 3 (a)…

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Q: Nathan would like to buy a new car worth PhP 1,200,000.00. He decided to take an from a car…

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Q: So when constructing a matrix using the eigenvectors, the order of the eigenvectors doesn't matter?…

A: When we construct the matrix P using the eigenvectors found of matrix A, then let us say that the…

Q: Suppose is the surface generated by revolving the curve y = 4(x² - 1) about the y-axis. 1. Determine…

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Q: Which of the following is NOT TRUE about the sequence O It is increasing. O 0 is a lower bound of…

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Q: Consider matrix attatched and vectors attatched, Let w = Ax+y. Write down w2.

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Q: QUESTION 1 Given that = 0.2836 approximates f(x) = cos x at x = 5. 1. Find the absolute error 2.…

A: Solution: True value of f(x) = cos x at x = 5 (radian) is         f(5) = cos(5) = 0.2836621855. So…

Q: There are two circular gardens named A and B. Garden B's radius is 3 more than Garden A's. find the…

A: Solution :- Let radius of garden A = r1 Let radius of garden B = r2 According to the given condition…

Q: (7) Consider a particle that moves going from the point (-2, 2) to the point (-2, 2) along the…

A: Given: The force field, Fx,y=2x+yx2+y2,2y-xx2+y2   To show: There exists no scalar function g such…

Q: The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of…

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Q: Consider the plane : x - 2y + 3z − 1 = 0 and the line 1: x = -1-29-2 = z + 1. 1. Find the point of…

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Q: What is the equation of the tangent plane to the surface y = eª cos (z) at the point (1, e, 0)?

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Q: Let G be the subgroup of GL3(Z2) defined by the set 100 a 10 b C 1 that a, b, c Z₂. Show that G is…

A: Given: G is the subgroup of GL3ℤ2 which is defined by the set of matrix 100a10bc1 where a, b, c∈ℤ2 .…

Q: A trough, 10 ft long, has semi-elliptical ends which are 3 feet deep and 4 feet wide. If the trough…

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Q: The system of linear equations: (attatched) Select One: 1. is a 2×32×3 overdetermined inconsistent…

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Q: Find the area of the region bounded by the curves y = e* y² = 4x - 4 between y = 1 and y = 2. and

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Q: Obtain a family of solutions. 1. (x-y)(4x+y) dx + x(5x-y) dy =0 Ans: x(y+x)² = c(y-2x) Show complete…

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Q: Evaluate the following integrals. ·[³ 1. 2x log 2x dr

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

Q: calculate ∫ ∫ ∫Ty dv, being the T region inside the paraboloid z= 1/(x2+y2)the sphere x2+y2+z2=5

A: We need to calculate the triple integral ∫ ∫ ∫Ty dv, where T being the region inside the paraboloid…

Q: Determine the linear interpolating polynomial that passes through the points (2,4) and (5,1). p(x) =…

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Q: Prove that the following linear program is unbounded. max ( 2 +1X3 -3Xx₁ X₂ 4 +2X3 -1x₁ +2x1 X4 8 X5…

A: To Prove- Prove that the following linear program is unbounded. max ζ = 2 + x3 - 3x1x2 = 4 + 2x3 -…

Q: - theorm; – Every inner product space is a norm linear space

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Q: What is the Maclaurin series representation of f(x) = 2*? Hint: e² O None of the given choices O + O…

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Q: Suppose is the surface generated by revolving the curve y = 4(x² - 1) about the y-axis. 1. Determine…

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Q: KER+ which of the following expressions or triple integrals is NOT equal to the volume of a sphere…

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Q: Determine the number of subintervals that will ensure an approximation error of less than 5x 10 when…

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Q: 1 cos x³dx -1 a. Use Simpson's rule to approximate the following integrals: (using n = 8…

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