1- Two vecters n'and mª anl Said to be orthogenal if n'entzo T b. F a.

Q: One of the following relations is a function from A to B : .a F={ (1,2), (2,4),(2,6)},A={1,2,3},B={2...

A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6 (...

Q: b) Let at time t years, an industry consumes fuel at the rate of (2t + 9) million barrels per year. ...

A: Given an industry consumes fuel at the rate of 2t+912 million barrels per year. If the total supply ...

Q: 2. Given the data 0.2 0.4 0.6 f(x) 1.9934 2.1465 2.2129 2.1790 0.8 1.0 1.2 1.4 f(x) 2.0683 1.9448 1....

A: We can solve this by using given data and formula of Central difference

Q: (a) (1, -2,0) and centered at the point (2, -1,3). Find an equation of the sphere that passes throug...

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Q: Find the sloution of the given DE dy Y – x y(0) = 1, h = 0.1 at x = 0.5 %3D dx y + x Yexact = ? (fin...

A: The differential equation is dydx=y-xy+x We put y=vx Then, dydx=v+xdvdx

Q: 4. The perpendicular offset of the PT of a simple curve is 120.20m. If the angle of intersection is ...

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Q: power expansion of (e^x)/1-x

A: Given f(x) = ex1 - x

Q: 11)For what value of 'x', the expression x - 5x + 6 is poS A) x 3 B) x > 2 and x 4 and x 3

A: 11 Given expression is x2−5x+6. We have to find the value of x for which the expression x2−5x+6 is p...

Q: Determine whether the improper integrals converge or diverge. If possible, determine the value of th...

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Q: ary differentia att=0 the ing

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Q: Suppose z is a differentiable function of x and y implicitly defined by the equation E : 23 + xe² = ...

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Q: Problem 1. Find the order of the following differential equations equation. (a)粤+2 +r=0 d²y dr² +2dy...

A: a Given differential equation is d2ydx2+2dydxd3ydx3+x=0. Definition of order:- Order of a differenti...

Q: Suppose a spring with spring constant 2 N/m is horizontal and has one end attached to a wall and the...

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Q: Find the solution of the D.E. below: 2(2x + y)dx – xydy = 0

A: If a function f(x,y), satisfy the condition f(kx,ky)=knf(x,y), then it is called a homogenous functi...

Q: xy cos.x f(x, y) =+3y²

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Q: Mixed curve is a type of frequency curve True False O

A: Given: Mixed curve is a type of frequency curve.   To determine: If the given statement is true or f...

Q: - Part 1 Graph and shade the points (if any) that satisfy the following system of linear inequalitie...

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Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other ha...

Q: Translate the following stetements between predicate logic and English. (Hint: Use DeMorgan's laws (...

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Q: let us efine fn enj-S (n) = otherwise b) we wo ld like to calco late the lebesgue integral Sf dm How...

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Q: 73.xy-z(x- y)' (19)

A: 73 Given expression is xy−zx−y2. We have to find the value of the given expression x=3, y=-2 and z=-...

Q: (B) 84312 (C) 74412 thction (6-13): If CHEST is coded 9s 45723 and BALL is coded as 6899, the follow...

A: Given that  CHEST is coded as 45723 BALL is coded as 6899 To find the codes of some given words.  

Q: +y ntegral %% 0 0

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Q: 13. Use diagonalization to compute A2n+1, where n a positive integer. 1 A =

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Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x. 

Q: None

A: Given,             R=(1; 2); (1; 6); (2; 4); (3; 4); (3; 8)S=(2; u); (4; s); (4; t); (6; t); (8; u)

Q: ach to solve omogeneous ential equatior

A: Given - The differential equation To find - Use the superposition approach to solve the given non-h...

Q: Problem: Find the inter Polating pPolynomial of degree one for f(x) = (2x -a) Using the Point %3D 4 ...

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Q: y =- Inx; x?y" + xy' – y = lnx %3D х

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: O Showing all your working, find the solution set which describes the area shown in purple below. 10...

A: Solution 

Q: prove that le besque outer mea sure pt is countably Seb-additive.

A: This is a problem of measure Theory.

Q: You have three cereals in your cupboard. You have a strict diet, and every morning, you need to cons...

A: Linear equations

Q: 6. If a series £u, converges to the sum u then so does any series obtained from Eu, by +he torms in ...

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Q: Let G be the following graph: 6. 7 10 11 12 13 14 15 16 17 a) The number of vertices of degree 1 is....

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Q: Problem 2. Verify that each given function is a solution of the given differential equation. Through...

A: Given: The differential equation, x2y''+xy'-y=lnx The functions, y1=x-lnx and y2=1x-lnx   To verify:...

Q: Disprove the following statements using counterexample. Explain your answers. 4. x >x 5. x Sx?

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Q: Find the Equation of the line that passing in point (3,5) and parallel or perpendicular to the 4x-y-...

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Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: The given question is related with differential equations. Given that,                   y' = x - y ...

Q: Directions: Read and analyze each problem carefully, solve and answer the questions that follow. The...

A: Draw the Venn diagram for the given question.  

Q: Suppose V and W are finite-dimensional. Then L.V; W / is finitedimensional and dimL(V,W) = D (dim V)...

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Q: Exercice 3 : Solve the first order PDE: Uz + 2u, + (2r - y)u = (2a +3xy-2y)(x+2y) %3D

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Q: 2. What is the number of k-digit strings one can form over an n-element alphabet if (a) there are no...

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Q: 1 3 4 13 -1 A = 7 -5 7 2 -12 4 5 - 8] 0. 4 - 3 - 5] | 1 - 2 B = 3 - 4 1 - 5 -1 | 0. - 51 1 C = 3 - 2...

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Q: e-(2²+y²) dy dx x=-00 Jy=0

A: To evaluate the below integral. ∫x=−∞∞∫y=0∞e−x2+y2dydx

Q: Ito Processes The drift and volatility of Ito processes are general functions dx=a(x,t)dt+b(x,t)dz. ...

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Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

Q: y = 4 + C1e3x

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Q: prove that C+Ā +3 C+A +B ARC Using the truth table

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Q: 1 + ..+ 3x5 1 Find the sum: 1x3 1997x1999

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Q: s evaluate e of 1. The

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