Find the general equation of the plane perpendicular to the line Z – 2 y+ 4 1- x = 3 and is 3 passing through the point (6, – 1, 0). |

Q: x,0 <x <1 CO.2 a) Show that the function f(x) given by f(x) = }k - x,1 < x< 2 is a probability densi...

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Q: Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-1)-1 = R. (b) (RUS)-1 = R-'Us-!....

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Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14, -1...

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Q: Examine the convergence of the series : (i) 1+x 00 1+ x3 (а + 1) (2а + 1) , (а + 1) (2а + 1) (За + 1...

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Q: Given the set C=(2,4,6,8}.Consider the relations R 1 and R 2 defined on C as follow: (x, y)e Rz if a...

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Q: .. with n, m, E No for all i e {1,...,r}. Let a = p p... p and b p P (The existence of such a factor...

A: Let a=p1n1.p2n2.....prnr and b=p1m1.p2m2.....prmr with ni,mi∈ℕ0 For all i∈{1,.....,r}. To prove gcd(...

Q: Prove that a set A is countable if and only if there exist an injection of A into N.

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Q: dx is equal to The correct value of A. 2 B. Since the integral converges to 23, none of the given ch...

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Q: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola, o...

A: we have to find the trace on x = 0

Q: It can be shown that y1 e31 and y2 d'y = xe are solutions to the differential equation dy + 9y = 0. ...

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Q: If f : [a, b] → R and P be a partition of a, b . Then f is Riemann integrable if and only if its upp...

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Q: 4) Let n-1 f(T) = T" +) a; · Ti i=0 be a monic polynomial of degree n > 1 with a; E Z for all 0 < i ...

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Q: Question 4. The following are logical laws shown in our lecture. Find their dual versions if exist. ...

A: We have to find dual versions of given logical laws, if they exist. Pre-requisite :  P1) Two formula...

Q: Let 4 -2 1 -2 -2 2 6 12 11 2 9 20 10 10 15 28 14 5 4 2 3 A = 6 -4 -6 -3

A: We are given a 5×5 matrix. We have to find the eigenvectors corresponding to all the eigenvalues of ...

Q: The arduous task of combing and tying up long hair and a desire to assimilate has led to approximate...

A: Given - 25% of Sikh youths do not wear turbans. To find -  P= Probability of an Event x a) P(x=2) b)...

Q: The orthogonal trajectories of y = 6ax is , where a is an arbitrary constant y? + 22 = 2c + x? = 2c ...

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Q: 5. Consider the function f(x, y) = x* + y* – 4xy+ 1. (a) Find all critical points of f(x, y). (b) Us...

A: Maximum and minimum of the function, using second order derivative test  

Q: (r+ simo - coso)dr+r Csino tcoo + co-B

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Q: (5) Consider the set T= {(-1)"(1-): n E Z4). (i) Show that 1 is an upper bound for T. (ii) Show that...

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Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: x² + 2x 1. S(* - dx x+2

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Q: Let D be the open unit disc in C. Lel g: D-> D be holomorphic, g() = () & let (g(2) h(z) = (s'(0) ,Z...

A: let D be the open unit disc in C , WE Using schwartz lemma . WE CHECK OPTION  ONE BY ONE 

Q: E. 1. Let R = {(0, 0), (1, 2), (2, 1), (2, 3), (3, 3)}be the relation on A = {0, 1, 2, 3}. Then, R2 ...

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Q: Given the curve: y = 4cos3x – 3cosx, find the following values of x (from 0 to 2pi radians) when a. ...

A: see the attachments

Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x– 11) white paper clips. a) Find ...

A: The number of red paper clips is x. The number of blue paper clips is x+4. The number of white paper...

Q: Solve the following system of equations using the Gauss - Jordan method: a + 2b - 2c = 9 2a + 3b + c...

A: Given equations are a + 2b - 2c = 9 2a + 3b + c = 23 3a + 2b - 4c = 11

Q: Solve for Elimination of Arbitrary constant given problem is x^2y=1+cx

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconcl...

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Q: Question 3. Given the formula 2h use the Taylor series t +h) = v(0) + hy()+ () ++ () + O(). *... to ...

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Q: 1. What is the probability that a randomly drawn A number between 1 and 100 for the lottery is divis...

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Q: dz is equal z cos(2) The value of 4-T =4 (a) 2 (b) 3 (c) 4 (d) 5

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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Q: Evaluate the iterated double integral: x+4 sin (y – 3y?) dy d.x x+4

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Q: Which of the following is a direction vector for the plane with Cartesian equation 3x -2y - 5z + 3 =...

A: To find a direction vector for the given plane.

Q: 2. Determination of integrating factors: 23{x² - y+x\dx+ (x° - 2ykty = 0

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Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: (5) Find all integer solutions to the equation w² + 2x² = 7(y² + 2z²).

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Q: H.w/ Findthe forthes tand closest paints.ah the sphere x+y+2'=36 from p(l2,2).

A: I used Lagrange Multiplier to solve this. 

Q: Consider the parallelepiped with adjacent edges u = 8i + 4j + k v = i+j+9k w = i+ 9j + 4k Find the v...

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Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players ....

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Q: Sketch a graph of the funcloos, 2x,0L×ム a oftended ao a ar - periodio dd functions, graph three full...

A: the given function is fx=2x0&lt;x&lt;π21π2&lt;x&lt;π It is given that the given function is 2π-perio...

Q: Given the function f(x)=nx+(x-g)"2 n = 17 g = 4 1- Find the Taylor series expansion for the given fu...

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Q: 4. Let u o, where o is the zero vector. Show that there are exactly two unit vectors that is proport...

A: This is a problem of vector algebra.

Q: Evaluate the unoriented line integral (2æ² + y² + z²) ds along the parametric curve a : [0, 1] → R³ ...

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Q: 1. Why we need Laplace Transform. Introduce at least 4 relevant applications of Laplace transfrom. F...

A: We have to find the laplace transform .

Q: f Ct) 2 (3t-5) e 4t f(t) = 2Ct-4)"

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Q: Log(2 – 5i) Evaluate:

A: Introduction: The logarithm of a complex number can also be calculated. The obtained result is again...

Q: 3. Find the Fourier transform of f(x) = {1, |x| 1 Also evaluate .00 Sinx dx

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C. T...

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