Find the generalized union and intersection: 2. A={1,2,3,...,50} A₁ -- =[-21, 2A]

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Q: 4. (a) Show that the outward flux of the postion vector field F(x,y,z) = (x)7+ (y)] + (z) through a…

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Q: Consider the following. u = ,    v = (a) Find the projection of u onto v. (b) Find the vector…

A: Find the projection of u onto v and find the vector component of u orthogonal to v.

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A: Proof:         Given that B is symmetric positive definite matrix.  NOTE:  B is symmetric positive…

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Q: A completely regular space is also T1-space 1 True 2 False

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Q: Consider the curve C which is the intersection of the surfaces shown in the attached figure.

A: To evaluate the below integral. ∫Cx−y−2zds

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) IIAMAAde Ouation n. Interval: 0<=x<=pi

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Q: Find the Inverse Laplace Transform of the following: 8 F(s) F(s) = 53(s²-5-2) = s(s²+4) F(s) =…

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Q: 3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly…

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Q: In questions #1 and #2, we examined the relationship of sine and cosine based upon the sides of a…

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Q: 1. Write the equation of the line containing the points (-3, 4) and (2,5) in the form Ax+By = C. 2.…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. st (4,0,3) sin…

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Q: Given the vector field F=rcoso ar+sine ae +rap After solving for the question, what is the scalar…

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Q: dx 1 + x method. Hence find the value of log 2. Example 8.18. Evaluate f . correct to three decimal…

A: Problem can be solved using Romberg's Method.

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A: First we find the elementary surface area ds. ds=| Ru X Rv | dudv

Q: 3 6 0 3 3 3 3396 3 3 3 X 3 = 9

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Q: b) The following graph is k-colourable(f), find the value of k?

A: To find- The following graph is k-colourable(f), find the value of k?   Definition Used-  A Graph G…

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Q: 4. (a) Compute the general solution for: +4- +3y=e-¹/2 dt² dt (b) Compute the solution with y(0) =…

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Q: 1. Solve the system. 3x1 + 2x2 = 4 = 3 3x1 + 6x2 2x3 = -4 2. Find the elementary row operation that…

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Q: 9) If f(z)=u- iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: 1. Let z, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

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Q: Given the f(x)=log(x3)+x, find the area under the curve from x=3 to x=5 using:  Riemann Sum. Use…

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Q: Use the Laplace transform to solve the given initial value problem. For technical reasons, write u…

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Q: If f(z) = u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: 8) Find the Laurent series of f(z) = (2-1)(z-2) ********** a) + b) .... + +2/2+²/²+3/2² +2³ **** I…

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Q: Consider the curve C = C₁ U C2 U C3 U C4, piecewise smooth, oriented from the point A (3, 7, 3) to…

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Q: 3- The interval (0,1) in (R, T;) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d-…

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Q: 8. Find an equation for the line parallel to the line y=-3x and containing the point (-1,2).

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Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21, are said to form a Fibonacci sequence. Form…

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Q: Explain two different observations about the graph of y=cosx that prove its derivative is y= -sinx.…

A: Explain two observation about the graph of y=cos x and the graph of y=-sin x to prove that the…

Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

A: (a) The given statement is: "If f'x=g'x for all x, then f0=g0" The statement is false. Take the…

Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

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Q: Example of a function that is dot convergent but not uniformly convergent

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Q: Hello sir or madam, the answer is not going through. I tried to work it, but im not able to solve…

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Q: Find the surface area of the following figure. Round your answer to the nearest tenth. 14.2 m 11 m…

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Q: ar gaph? and what the chroma

A: To find which one are planar graph from the given graph as,

Q: 1 Given the vector field F=rcos$ ar+- 2 cos 0 4 r cos + 1-2 None of the choices 2 cos o r 2 cos o…

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Q: What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to…

A: If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference…