1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y = 4. -100a? + 36y? + 22522 = 900

Q: 1. (a.) Name the given quadric surface and give its axis (c.) Name its trace on y = 2. 45x² + 20y +…

A: Given : An equation 45x2+20y2+36z=0 To find: a) Name of given quadratic surface              b)…

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A: Volume of solid of revolution about x axis is given by V=∫L πy2 dx Volume of solid of revolution…

Q: Acruise ship maintains a spoed of 20 knots (nautical miles per hour) saling from San Juan to…

A: given Speed S=20 knots distance d=600 nautical units time t=14 hours

Q: 1. Consider the vector field F(x, y, z) = (2e2" cos(3y), –3e²" sin(3y) + Y a. Find divF(x, y, z) and…

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Q: Find the volume of the solid in revolution as it rotates about the y axis and the function 1. f(x) =…

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Q: Given four trapezoids of width 1, calculate the area of the shaded region.

A: To calculate the are of the given region we shall use the following formula: area of a…

Q: Question 3 ) Consider the differential equation x'y" + 3xy - 3y = 3x2 – 2x. %3D -3 (a) Verify that…

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Q: Solve the initial-value problem by finding series solutions about x-0: xy" – 3y = 0; y(0) = 1; y'(0)…

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Q: Question 4. Define the power series * 2k+1 2k +1 r2k+1 T(1):= L (2k + 1)² S(1) := k-0 (a) Show that…

A: We will use the basic knowledge of real-valued functions, series, and integral calculus to answer…

Q: Use Lagrange multipliers to find the points on the cone z2 = x2 + y2 that are closest to (8, 2, 0)…

A: Given: Equation of the cone: z2 = x2 + y2 Given point: (8, 2, 0)   To find: The points on the cone…

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Q: The figure shows a sequence of squares inscribed in the first-quadrant angle formed by the line y…

A: We denote the first square as S1 and subsequent squares as S2 , S3, ...

Q: Show that a finite union of compact subspaces of a topological spaces X is compact-

A: We have to show that the finite union of two compact subspaces of a topological space X is compact.

Q: Mr Dela Cruz deposited ₱18,980.00 from the project you’ve earned in a time deposit account with your…

A: We know, from compound interest formula  A = P(1+r)t Where P = principal             r= rate of…

Q: 2. In each of the following, find fyzz, fæyæ, fryz. 2. f(x, y, z) = ln(xyz) + z² tan-'(e=")

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Q: Find and classify all the critical points of f(x, y) = x³ - y³ - 8xy.

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Q: termine the resultant r of the given forces. (Assume f, acts in the positive x-direction.) f, acting…

A: Given that: f1 acting due east with a magnitude of 14 N f2 acting due north with a magnitude of 13…

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A: We have to express z3 as trigonometric form.

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: 12. Solve the second-Order differential equation: a²y dx2 -y = e* (use method of variation of…

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Q: Let's assume that we have the following system of linear equations Ax = b where 4 3 2 A = 3 4 -2 -3…

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Q: Use the following graph for questions 52-54. $1.200 Heahh-Related Expenses $1.000 S800 S600 S400…

A: A. From the graph, total health related expence for the year is: It is around $5000 (sum of all…

Q: Let be eigenvectors of the matrix A which correnpond to the eigenvalues A-1.d - 1, and dy - 2,…

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Q: PERFORMANCE TASK : SOLVE FOR QUARTILES GROUPED DATA Scores Frequency 30-34 3 9.

A: the given data is  scores frequency 30-34 3 25-30 9 20-24 8 15-19 5 10-14 2   N=27…

Q: 会。 y 3 dy to 4一 to 2 +Sinx coSX よx

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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: Pu subject to the initial conditions u(1,0) = f(x), and du (z, 0) = g(x). a. Using the…

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Q: Permutation and Combination Show Solution 1. In how many ways can the string ASMEEKASALAMB be…

A: Given the word "ASMEEKASALAMB" To find in how many ways the above word can be arranged without…

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A: Solution

Q: 1. Consider the vector field F(r, y, 2) = (* - ", e – a*, z – sin(ay2). (a) Sketch the vector field…

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Q: 7. 7 Calculate the area of the portion of the sphere x +y +z = 49 between z = 2 and z =V2. 2 2 O A.…

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Q: The student government at Redwood High School sold 350 tickets to the school dance. Total ticket…

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Q: Example 2: Solve for the DTFS coefficient of each fundamental periodic with respective period N of…

A: Given,X[k]=1+sin2πNk+5cos2πNk+cos4πNk+π3To find:  Discrete-time Fourier series coefficients

Q: Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1.…

A: 1no page

Q: 9. Dave was simplifying a trig expression using the following steps: tan x1+cot² x tan x csc? Step…

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Q: 2. Find the Fourier series expansion of: So. f(x) = sin zr, 0<r<1 and then use it to find the values…

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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: Not continuous or differentiable at exactly one point. A continuous function whose derivative is not…

A: This graph is for d)

Q: Use the Gauss-Seidel method to solve the following system. Compute the errors. [10 2 -1] [X1 41 X2 =…

A: We can solve this using Gauss sidel method

Q: 3. Find the moving trihedral and the curvature at any point of R(t) = (In(sect), t/V2,t/V2). %3D

A: Introduction: In differential geometry, the Frenet–Serret formulas define the kinematic properties…

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Q: 3 dy to ニo 2 +Sinx COSX dx

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Q: Q2) Suppose a vector y is orthogonal to vectors u and v. Prove or give a counter example that y is…

A: Given that y is orthogonal to vectors u and v. To show: y is orthogonal to vectors u + v or not.

Q: Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

A: To determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

Q: Question 1 Let ((0,0,1).(0,1,1).(2,1,1)} be a basis for R Using GRam-Schmidt procedure, the…

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Q: Use the Gauss-Jordan elimination method to find the inverse matrix of the matrix 1 -5 1 -2 . Choose…

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Q: Sinx - ý casx = .

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Q: If simple harmonic motion is described by æ(t) = (/2/2) sin 2t + ø, the phase angle is when x(0) =…

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Q: Compute 9 x 10999,999,999,999,999,999 (mod 13).

A: To Compute: 9×10999,999,999,999,999,999 (mod 13)