Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² + 4y²-2x-8y + 1 = 0 Option 3 4x² - y² + 8x + 4y - 15 = 0 Option 2 9x² + 6y² + 2x + 3y + 9 = 0 Option 4

Q: Evaluate the characteristic w "+k²x ²³w = 0 value of k in the following differential equation w…

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Q: [CLO-2] Evaluate the improper integral. 8 √₁² (0-²x + ₁ 72² 2² ) ₁ dx 1 1+x²

A: Follow the procedure given below.

Q: example I= 1 5² die fex2=212 9=0₁6=1

A: The integration of the integral is x2 limit from 0 to 1.

Q: Test the convergence of the following: n 3n+1 1- an 3n-1

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Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

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Q: The area between the curve y = 1/x, the y-axis and the lines y=1 and y=2 is rotated about the…

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Q: Consider the matrices shown below: A Find the value of K such that det (BT) 64 - 1 с 3K and AT is…

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Q: Evaluate the triple integral [ 2³ dV, where E is the solid tetrahedron with vertices (0,0,0),…

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Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

A: The given function fx=x3-21x2+144x

Q: Find all the relative extreme values in the domain of y = 4x2 - 3x

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Q: Find the mass of the rectangular prism 0≤x≤2, 0≤ y ≤2, 0≤z <3, with density function p(x, y, z) = =…

A: Mass = Density * Volume

Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: A point P is moving along the curve whose equation is y=√√x³ +17. When P is at (2,3), y is…

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Q: Evaluate the triple integral a dV where E is the solid bounded by the paraboloid a = 10y² + 102² and…

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Q: If f is a differentiable function and f'(x)=x55x4+ 5x³+2, then f is concave up on

A: As per our company guidelines we are supposed to answer only one question. Kindly send other…

Q: Carbon extracted from an ancient skull combined only one-sixth as much as C14 as carbon extracted…

A: Let's find age of skull.

Q: 6. a) Find the critical value(s) of f(x) = x + 2sin(x) on the interval 0≤x≤ 2π 3 b) Classify each…

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Q: 1. If F(x) = Le d ex dt, find F(1) and F'(x).

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Q: hat are the cylindrical coordinates of the point whose spherical coordinates are

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Q: Question : evaluate the following iterated integrals CLE dy dx

A: In the given iterated integral first we integrate with respect to 'y' and after putting limit of 'y'…

Q: If à = 3ai +4j-k and B = 4i+j−3k, find the value of a if A normal to B.

A: Given vectors A→=3ai+4j-k and B→=4i+j-3k

Q: The area cut off by the x-axis and the curve y = x2-3x is rotated about the x-axis. Find the volume…

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

A: Note:- As per your reqiest i am solving part b) only. From given sub parts of it.

Q: Evaluate lim √9-t-3 t-o t

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Q: √x-3 x-3+√√√x²-9 Evaluate lim

A: Given query is to find indicated limit.

Q: Evaluate the following integrals: 4x 6. ₁² x 3x²y²dy dx

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: A. Find the general equation of the conic with the given properties. 51 1. A parabola with directrix…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: 1. Find the volume of the solid generated when the region bounded by y = ex, x = 0, x = 2 and the…

A: Note: As per our guidelines we are instructed to solve only one problem. Hope you understand.    The…

Q: In the following problem, begin by drawing a diagram that shows the relations among the variables.…

A: Use partial derivatives

Q: Find the triple integral of the function f(x, y, z) = x³ cos(y+z) over the cube 3 ≤ x ≤6,0 ≤ y ≤ m,…

A: ∫36∫0π∫0π   x3cosy+zdzdydx

Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

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Q: 2x y dA, D is the portion of the region between the circles of radius 2 and radius 5 centered at the…

A:

Q: x

A: Given problem:-

Q: 1-12 Find the area of the surface. 1. The part of the plane x + 2y + 3z = 1 that lies inside the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: ff xy dx dy

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Q: Solve the differential equation y""+y" = 3x² + sin x - 2 cos x What is the particular solution?

A: We have to find the particular solution.

Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

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Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

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Q: Find the determinant by row reduction to echelon form. 1 3-2-4 01-25 -1 1 2-8 6 4 -2 -3 3

A: 1. Row echelon form

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

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Q: Evaluate the triple integral where E is the solid: 0≤z≤ 10, 0≤ y ≤z, 0≤x≤y. Izydv

A: Solution:

Q: For numbers consider a plane bounded by the curve y = 4-x² and the x-axis. Which of the following…

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Q: Use integration by parts to show that [x²³e³x² dx = 1 50 est (5x² −1)+c

A: ∫x3e5x2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫ue5uduIntegrate by parts:∫fg'=fg-∫f'gLet f=u and…

Q: 46 0-25 A= ,0 01 Find all the eigenvalues of A. For each eigenvalue, find an eigenvector. (Order…

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Q: Laplace transform of the following functions a) cos3t b) (e^(2t)-e^(-2t))^2

A: Let's solve laplace transform of given function.

Q: -4 -3 -2 -1 wo 4 -1 -2 -3 -4 -5 1 2 3 4 5

A: Slope is given.