Let S be the quadric with equation 36x² – 4y² – 9z2 – 36x = 0 • Classify the graph of S (oblate/prolate ellipsoid, elliptic hyperboloid, elliptic cone, ellipt paraboloid, or hyperbolic parabolod)

Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

A: Consider the statements of problem, 100 different diplomats to be assigned to 5 different…

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Q: Year 1970 1980 1990 2000 2010 Hours 2000 1880 1730 1690 1570 The table to the right lists the annual…

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Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

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Q: 1. Find the solution to the vibrating-string problem ,0 <x<L , 0<t< 0 P.D.E. Ut = a²uxx Ju(0, t) = 0…

A: We have to find the solution to the given problem.

Q: on of the matrix A which comespond to the eigenvalues i, = -1, d = 1, and å, = 2, respectively, and…

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Q: + De termine the relative extrema of f,is there are any and locate Omy Saddle points. ) f(a))ーxー2yt…

A: To solve given question we use the property of multivariable calculus for relative extrema and local…

Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: Given, System of linear equations: 2x1 -x4 =-1 5x1 +x2 =1 x3 =1 -x1 +4x3 +x4 =0 we can write it as…

Q: Find the approximate root in 5th iterations of the function f (x) = x- 2x - 5, xo = 2.5 3 r³ %3D 3…

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Q: What do you think is the best way of sorting out these type of questions. When I'm studying I…

A: The system of equations can be solved algebraically. The method of substitution and the method of…

Q: 15-22 Calculate the double integral. 15. || (6x*y – 5y“) dA, R= {(x, y) | 0 < x< 3, 0 < y < 1} R…

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Q: There is an athletic organization named Jingle Jangle plans to invest P100,000 to host soccer game.…

A: Solution :-

Q: ate the integrals below using the following methods. ule IT (82 + 6y)dx dy

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Q: Let II, be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x=0.…

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Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

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Q: Approximate the solution to the wave equation: 1 ô’u (x,t)- 16r? a (x,t)=0 for 00 167' ôx? u(0,t)=…

A: Given : wave equation        ∂2u∂t2x, t-116π2∂2u∂x2x, t=0  for 0&lt;x&lt;0.5 and t&gt;0subject tou0,…

Q: Find L{f (t)} of the following functions. Note: a, b, e, k and n are constants. (1+1 ,0<t <1 f(t)=…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: The given curve is -100x2+36y2+225z2=900. (a) To identify: The name of the given curve and its axis.…

Q: Solve 5 2 E #(0) = – 2, y(0) = = 10 | Ly' - 29 - x(t) = %3D y(t) =

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Q: In a shooting game, two players shoot at a target at the same time. Suppose person A hits the target…

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Q: Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of length 10m.…

A: The area of a rectangle is calculated using the formula: Area=length×width. The double derivative…

Q: Suppose U1; U2; :::; Um are Önite-dimensional subspaces of V . Prove that U1 + U2 + ::: + Um is…

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Q: (2) Let ƒ : [-x, 7] → R be defined by 0 if – a<x< -, 1 if-플<z<0, 0 if0<x< T. f(x) = (a) Calculate…

A: We will use the basic knowledge of the Fourier series to answer this question correctly and…

Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

A: Here,  total diplomats = 100 Number of continents= 5 Also, in continent 1, 2 ,3,4,5 there sholud be…

Q: 1. The graph G is given by the picture 1 4 5 6. 7 8 9. 11 10 (a) Explain why the transposition f =…

A: Note that in your question post, I can see only one question and only one of its parts, namely part…

Q: 4. If f(x) = -2*43 find X-1

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Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

A: To write one application problem based on Equations.

Q: Using the given and the figure below, find the measure of the following angles. Write your answer on…

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Q: |– 1/V5 29) Let u,= 2/ 5 2/V5 [1/v5] Show that {u1,u,} is an orthonormal basis for R².

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

A: The general form of a plane is  ax+by+cz=d  The coefficients a,b,c and d are the constants. Also the…

Q: where did you get the 657? the given was 675.

A: Solution

Q: 2. f(1) =t cos 81 +2

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Q: Problem. A circle whose area is 100t m² is cut into four segments by a vertical and horizontal chord…

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Q: An outlier is a data point that may be an abnormal result should sometimes be left out of a…

A: Solution :-

Q: 1. Give an example of a 2 x 2 matrix with no inverse ( singular). Show how it become singular 2.…

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Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

Q: Find L{f(t)} of the following functions. Note: a, b, e, k and n are constants. (t+1 ,0<t <1 1. f(t)…

A: Laplace transferom of the function, using definition of the Laplace transferom

Q: s+7 F(s) = s2 - 3s – 10

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Q: Arcsin(x/y) = 4x + 3y

A: Given: sin-1xy=4x+3y To find the second derivative y''.

Q: (b) Alice and Bob are playing a game of chance consisting of repeated rounds in which each has an…

A: Solution :-

Q: 7) (4 pts.) Let D be solid hemisphere z? +y² + z² < 1, 2 2 0. The density function is 6 = 2. We will…

A: Mass of a region E with density ρ M=∫∫∫Eρ dV moments about the XY plane Mxy=∫∫∫Eρz dV z co ordinate…

Q: Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to three…

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Q: Perform each of the following: i. Show that two distinct reflections 2, and 2, commute if and only…

A: i) show that two distinct reflections Ωl and Ωm commute if and only if m is perpendicular to n.ii)…

Q: Question 10 Consider teh following equation: 2x + 4xy + 5y-7 The matrix correponding to this…

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Q: Solve with Differential Equation A tank contains 400 liters of brine. Brine containing 0.1 kg/liter…

A: Solving differential equation by integrating factor method

Q: Consider the bases B= (u1, u2) and B' = {uj, u½} for R², where -[} »-H «-} «-[*] uj = u2 = %3D (a)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Evaluate the integral (2.x - y)dA, where D is the region in the first quadrant enclosed by the lines…

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Q: i) find the relative extrema of ?; (ii) determine the values of ? at which the relative extrema…

A: Since 25-x2 is defined -5≤x≤5, the domain of the given function is -5≤x≤5. Substitute fx=0 in the…

Q: Find for f'(x) | f(x) = x – cos(x) f(x) = e* – 2x - 2

A: To find f'(x).