Find the volume of tetrahedron with vertices (0,0,0),(1,0,0),(0,1,0)and (0,0,2) by triple integral? SIS dxdydz

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A: Given: Ratio of red marbles to total marbles=2:5 Ratio of green marbles to total stones=3:10 Total…

Q: 1. Find all solutions of u,+2u-3u- – 4u, +4u, Hint: Solve the characteristic equation (y)²-2y-3=

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Q: 4. Find the general solution of the following equations using the power series method about the…

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Q: 4. Use the Taylor approximation technique learned in class to give a linear form at around x=0 of…

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Q: Prove by mathematical induction that Vn E Nwith n 2 4 2 n3

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Q: Iş it possible to walk through the warehouse so that you pass through every doorway once but not…

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Q: 14. If 3 a = 2a워= 45 ,. (2) ,(2) (2) ni 2nl

A: Given equation is  32n|=222n|=45s21|

Q: Rung, kutta me thad ¢v(ں$ د+ use ५- x+र]ु

A: Runge kutta method of fourth order

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A: Given: Prove that if n is odd, then n = 4k + 1 or n = 4k + 3 for someinteger k.

Q: Derive the following Laplace Transform asing the definition: fCt) =te at

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Q: Use the fact that matrices A and 8 are row-equivalent. 8 0 -17 --5 1 -9 5 7 -13 5 -2 -5 5 15 -9 -3.…

A: As per our guidelines we are supposed to answer only first three sub parts.kindly repost other…

Q: 6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume…

A: Here we have to use Lagrange multiplier method Suppose you want to maximize f(x,y,z) subject to the…

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A: We have to reduce the given matrix into echelon form of the given matrix.

Q: 5. Determine the inverse Laplace trans- form of the given function. s+1 (a) s2 + 2s + 10 7s2 41s +…

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Q: 2 ez Let f(z) Let c be the (z - 7)(z - 9) circle |z| = 11 in the counter-clockwise %3D direction.…

A: It is given that the complex function fz=2ezz-7z-9. We have to evaluate the integral ∮C fzdz, where…

Q: Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1) %3D 1 (a) Find the unit vector having the…

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Q: rential equatio 5ty = sin(t) que solution fc on when t belo

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Q: 8. f(x,y) x +y +: R is bounded by the circle x+ Y 9. 4.

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Q: Let x, y ∈ Z. Use a direct proof to show that if xy is even and x is odd, then y is even.

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Q: ........... The indicated function y, (x) is a solution of the given differential equation. Use…

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Q: Q5) Answer true or false for the followings: i) in triple dot of vectors (A x B). C = (B × A). C,…

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Q: et +2e2t-et 6. dt e2t +1

A: Simplify the numerator of the given integrand. The integration formula of exponential states that…

Q: Match the two matrices A, B with their product AB. i Instructions 1 0 2 6 7 4 3 4 5 -3 9 0 6 1 [1 -2…

A: Match the two matrices A, B with their product AB.

Q: d) Let X,Y, Z be sets. Calculate |XUYUZ if |X| = 50, [Y|= 90, |Z| = 71, |XnY| = 8, |Xn Z| = 9, |Yn…

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Q: 3. A spring mass system with friction has mass m = 2 kg, friction constant a = 4 kg/sec, and Hooke's…

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Q: lim sin(x)dx (x² + e²)²

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Q: 1) For each of the following statements, (1) write the statement informally without using variables…

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Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (3, 6, 5), (5, 1, 3)}…

A: Given S = {(0, 0, 0), (3, 6, 5), (5, 1, 3)}

Q: A square matrix [A]n is diagonally dominant if (A) la,|>a,-1, 2, ... n J- (B) a, a,i = 1, 2, ..., n…

A: We say a square matrix is diagonally dominant if we have the diagonal entry of each row has an…

Q: Determine the Fourier transform of f(t) = te-2t u(t), where

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Q: me of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for…

A: INTRODUCTION: Let z=f(x,y) be the function of x and y, the extrema of the function is dependent on…

Q: 3 + a2 – 4 4.x = r+1+ Consider the function f(x) Note that x2 - 4 x2 - 4 a*(x² – 12) (x2 – 4)?…

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

Q: ) Use Stoke's theorem to evaluate f f.dr in the counterclockwise direction when viewed from the…

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Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show your…

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Q: 3. у %3D ах + bx2

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Q: さ 1 2. a2 C2 (b+c)2(Cta)と (a+b) (6) 2.

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Q: 1. Given the function f(x) = () %3D (a) Find a power-series representation for f(r). f(x) dx = n(n +…

A: Using Leibniz rule for differentiation of product of functions. Using Maclaurin series expansion to…

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: (c) Justify the following statement and find the size of giant component in each case. "For a large…

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Q: Using the symbolization key given, translate each English-Language sentence into SL. M: Those…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: ! = 0.25y² is to (implicit) Euler's condition y = 1 at What would be th

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Q: (b) If N is even, show that [N/2] is real if x e RN.

A: (b) Since [n] is called the greatest integer function, which gives the whole number that is a real…

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Q: Justify your answers and show all of your work. Q1. For each of the following matrices, answer the…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.