Evaluate the integral of the two-form w = (x8 + 2y) dx A dy over the region D bounded by the curves y = x? and y = x with a clockwise orientation.

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Q: Evaluate: 6! + 4!

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A: consider the figure as follows the angle opposite to bigger side is greater   

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Q: 3D- %3D(3,1,5) and v=(2,-3,1).

A: Given,        u=(3, 1, 5), and v=(2, -3, 1)  

Q: Let ƒ : R → R be a continuous function such that f(0) 0. Prove that f(1)< 1 for all real x.

A: given f:ℝ→ℝ is a continuous function such that f(0)≤1 for all real x f(x)2-3f(x)+2≥0 to prove f(1)≤1...

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Q: QI: Simplify the algebraic expression (8x +3)2 + x-And evaluate the given expression when x = Q2. Ra...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 1) How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Question 4. Consider the functions f: A → B, g : B → A and h : B → A such that if gf = 1 4 and fh =1...

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Q: r the following planes. x + y + z = 3, x + 7y + 7z = 3 (a) Find parametric equations for the line of...

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Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5. ...

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in th...

Q: How many permutations are there of 10 people arranged in a circle? 3,628,800 10 O10!-1! 362.880

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Q: k the icon to view some finance formulas. ctive annual yield for a 12.5% compounded monthly investm ...

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

Q: %3D Solve: find 2x2 lincar system Vi , Vz Variation Parameter ex y't y. Sinx 4.2-> Y =C, C6SX + Cq S...

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Q: , for x 1 Discuss the contuniuty of f and f'.

A: Given function is f(x)=x,                for x≤1-x2+2x  , for  x&gt;1 Continuity of f: LHL: limx→1-f...

Q: 1)Determine whether the following function is one-to-one: f = {(1,2), (3, 4), (5, 6), (8, 6), (10, ...

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Q: Minimi Suhiect 11

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Q: 3. Given the following system: x, - 2x, + 2x, + 3x, = -1 -3x, + 6x, + x, + 5x, =-11 2x, %3D 4x, 2x, ...

A: Given: Let us consider the given systems, x1-2x2+2x3+3x4=-1 -3x1+6x2+x3+5x4=-11 2x1-4x2-2x3-6x4=10 (...

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Q: Find domain, range and level surface of following function and write name of the function which is d...

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A: Alternating series. Test

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Q: 5. Consider the matrix -1 3 0 0 1 0 3 A = 1 2 (a) Find A-1, the inverse matrix of A by using your fa...

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Q: (d) Is {v1, 02, T3, 74} a basis for R4? Why?

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Q: , for x 1 Discuss the contuniuty of f andf'.

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Q: Newton -Raphson Method is applicable to the solution of O Algebraic equations only O Transcendental ...

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Q: Carlos deposits $600 into an account that pays simple interest at a rate of 2% per year. How much in...

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Q: How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels alw...

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Q: 2) y In(y) dx + (1+x²) dy = 0

A: Given: ylnydx+(1+x2)dy=0⇒y lny dx = -(1+x2 ) dy⇒dx(1+x2) = -1ylnydylet lny =t

Q: TRUE OR FALSE If p is true and q is false then find the truth value of "p and not q" If p and g are ...

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Q: Exercise.) Prove that if f is a real function on a measurable space X such that { | f(x) 2 r} is mea...

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Q: Use the graph y=g(x) to graph the given function. 12- 6- -12 -9 -6 -3 12 -3- y = g (x) -6- -12- y=5g...

A: Given: Let us use the given graph y=g(x) to graph the given function y=5g(x)

Q: The values of a and b, for which the function f(z) = ax + iy – 3y+ ibx, where z = x+ iy is a complex...

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Q: The Propositions (~(~q^ (p→q))→) is 1. Tautology 2. Contradiction 3. Not Tautology 4. Equivalent 1 2...

A: The truth table of p→q, p∧q,¬p p q p→q p∧q ¬p T T T T F T F F F F F T T F T F F T F T

Q: 1. Determine whether each of the following sequences converges uniformly on [0,+∞). a. fn(x) = x"e-n...

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Q: S. dx What is the estimate of the integral using a single application of Simpson's 1/3 Rule? +6x+10 ...

A: Given equation is  f(x) = 1x2 + 6x + 10.The value of table for x and y x 0 0.25 0.5 0.75 1 y 0....

Q: Theorom:- Let f-3GDCI); XoEIthen O TfaeR then a fisdefferantible at (a P) (xo)= QP(xo) D ft gisdiffe...

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Q: Q2) for the following Matrix 'A', Please determine the following: A = a. Eigenvalue of A b. Eigenvec...

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Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal...

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1 ...