The volume of the solid bounded above by the paraboloid z = 4 – x? – y? and bounded below by the parabolic cylin- der z = 2+ y?.

Q: If F = 2ui – (-u³ + 4)j – u²k and G = t’i – 3tj + tk at u = 1 , t = -1. Calculate: a2 а) FxG d)- (Fx...

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Q: Let V be the set of all real n x n matrices. It can be shown that V is a vector space over R with re...

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Q: 4. Solve the equation z3 + 8i = 0

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Q: A large part of a business's operating expenses is made up of salaries and wages. Greg is planning t...

A: It is given that there are 4 groomers and they work part time. 

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize...

A: We can solve using lagranges multiplier 

Q: (d) y" – 8y' + 20y = 100x² – 169xe". -

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Q: 10. Prove that (지12 sin 8 cos 1 (cos a cosec 0) de 1/2-a (1-cos a )

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Q: AIB = A BC 4= 12,3,4, 5,6,7, 8,9 A = : { 2,3,4,5 B = { 2, 7,8,9 c ={3博, 3 ) 9子

A: Given sets are  U=2,3,4,5,6,7,8,9A=2,3,4,5B=3,4,8,9

Q: NOT TO SCALE 42 0(142 A, D, B and C lie on a circle, centre O. AP is a tangent to the circle at 4 an...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: g (x) = In( 1- 2 x ) a) Series: En=000 Submit Answer 3/8 Brevious ies b) First four nonzero terms: c...

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. - 2. Calculate the Laplace transform L{12e¬t...

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A: Set: A set is a well defined collection of objects. We write a set in capital letter. We can represe...

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Q: Determine the roots of the complex numbers discussed in class. 1. z3 = -2 2. z3 = -3

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Q: 3. By the method of least squares, fit a curve of the form y = ax + bx2 to the points: -1 1 2 3 y -3...

A: We need to fit a curve of the form y =ax +bx2  So we can use  ∑i=1nxiyi=a∑i=1nxi2+b∑i=1nxi3  ..........

Q: Q4/ Solve the wave equation: at ax? Under the condition: u = 0 when x = 0 and x = n du O when t = 0 ...

A: The given wave equation is ∂2u∂t2=α2∂2u∂x2 We know from D'Alembert's formula that if  ∂2u∂t2=α2∂2u∂x...

Q: Specify c-1, Co, Ci and p such that the formula c_1u(x – k) + cou(r) +cu(z+ k) u'(2) 2 denotes the c...

A: This is a problem of Numerical Analysis.

Q: Let each of the vectors: A = (2,-1,3) B=(2,3,-1) and C = (-2,1,-2) extends outward from the origin t...

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Q: Verify that the piece-wise defined function x 0 is a solution of the differential equation xy – 2y =...

A: We have a piece - wise defined function ,  y = x2  , x < 0x - 2 , x ≥ 0 We need to verify y is so...

Q: 2) Let f(T) e Q[T] be an irreducible polynomial of degree n > 1. Show that f(T) has n different root...

A: We will use the basic knowledge of ring theory to answer this question properly, in detail.

Q: 4- find the absolute max.and min. o f the function f = x² +y? Plate boun ded by = x +y? on the close...

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Q: Consider the following Scenario: • Maximize z = 9x1 + 12x2 + 11x3 o Subject to 6x1 + 4x2 + X3 s 20 3...

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Q: Solve the diffeventiation dh

A: By integrating on both sides

Q: a) If A belongs to B and B belongs to C, then A belongs to C. b) If A belongs to B and B belongs to ...

A: Solution

Q: 1. What is the resultant of the following vecto Va = 85.5 m, 56 degrees east of south Vb = 45.3 m, 3...

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Q: (1) I will buy a neuw car or a new house if I get a job. I will get a job whenever I study hard. Eit...

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Q: Find the root of the function using newton’s method.

A: Note:- In given problem, you mentioned Newton's Method but didn't mention exact equation or function...

Q: What is the least number of lateral edges of a prism? * O 2 3

A: To find the least number of lateral edges in a prism.

Q: Sexyz ds, C: x= 2 sin t, y = t, z= -2 cos t, 0sts T

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Q: t|t\, lx(t ± 2n), ーTくt<π x(t) 三 otherwise

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Q: Square ABCD has side length 2/3. Determine the exact area of the region inside square ABCD consistin...

A: For the solution of the problem follow the next step.

Q: Let X be a random variable with p.d.f f(x) = c + 1.2x2,0 <x < 1. Find a constant c if E(X) =! 0.6 0....

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Q: Consider the following Ist order initial value problem: y' = with y(0)= 1 (E) Which of the following...

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Q: Q2: Find the solution of the following Differential Equations d?y 1. dx? dy 6y = 0 dx 2. y" + 4y' + ...

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Q: In a survey of 3029 adults, 1480 say they have started paying bills online in the last year. Constru...

A: We have

Q: Using MOSS, find the roots of x3-3x+1.

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Q: x = c¿coswt + c2sinwt, w is a parameter (not to be eliminated)

A: It is known that: ddtsinkx=kcoskxddtcoskx=-ksinkx Here, k is a constant.

Q: Consider 12 - 2.r +1 if r 1. Determine if the following functions are continuous on the interval I....

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Q: [-p^()]^(qr) A (par) =r Ture

A: Introduction: Two statements are referred to as equivalent if their truth values are equal. Otherwis...

Q: p(x)}. Find the dimensions of W1, W2 and Wı0 W2. 3. Determine the following for the matrix A. (a) Fi...

A: Note that the following is written as text at the top of your question post: "Please a and B part of...

Q: Show that [0, o0) and [1, o0) are isometric.

A: We need to show that ,  [0 , ∞)  and  [1 , ∞) are isometric. We know that two metric spaces X and Y ...

Q: 18 sin=+icos- 3.

A: Given complex number is sinπ6 + icosπ618

Q: Let N have a Poisson distribution with mean A. Let A have a gamma distribution with mean 1 and varia...

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Q: Consider r² – 2x +1 if r 1. Determine if the following functions are continuous on the interval I. ...

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Q: Question 3. Given the formula y(s) – y(s – k) y'(s) use the Taylor series y(s + k) = y(s) + ky'(s) +...

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Q: 37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of ...

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Q: 1- What is the value of f 3z2+7z+1 dz z+1 (a) If C is the circle |z+1|=1. (b)If C is the circle |z+i...

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Q: 1. Which of the following pairs of sets are disjoint and which are not ? (i) {x:x is an even natural...

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

Q: 17. Find the solution to the interpolation problem of finding a polynomial q (x) with deg(q) < 2 and...

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Q: The mode of a certain frequency curve y = ƒf (x) is very near to x = 9 and the value of the frequenc...

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