14. x + y -4x-12y-129 0 Standard Form: Center: 2,) :(2,6) Radius: \3

Q: Evaluate fay'da + aªdy, where C is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4)

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Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: Integrate (2sinx+3cosx)2

A: Integrate (2sinx+3cosx)2

Q: 2 0. ' +y + 12x + 16y + 64

A: Given: Circle equation  x2+y2+12x+16y+64=0   For circle (x-a)2+(y-b)2=r2 Center is (a, b) and radius…

Q: A = (-1₁3) B= (²₁-1) C = (1,5) i) find area of the triangle ABC “) OA' = M₁OA, OB³ = M.OB, OC² =…

A: We have to find the area of triangles and vectors.

Q: part b,c,d

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Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: CI-3/Quart -6x + 15 + 2x 3 iU Font Family AA A

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Q: Need help with this calculus question, please do all. Thanks.

A: We are given a 3rd degree polynomial, of which we need to integrate from -2 to 2. Also, we are…

Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: m) Linearize : -3x 天ェ_= around %31

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Q: sketch y+3x =9 in two dimensional and three dimensional space

A: sketch y+3x =9 in two dimensional and three dimensional space

Q: Shade (A U B) ∩ (C-A)'

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Q: • /Find laplace trans form

A: The detailed solution is given below Thank you

Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: Find the center, transverse axis, vertices, foci, and the asymptote of the y^2-x^2-4x+4y-1=0

A: Steps and explanations are as follows: In case of any doubt, please let me know. Thank you.

Q: How, Form P.D.E. from: a (3) Ucx,y) = (x²+a)lytb)

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Q: _8. Write the equation (x - 8)2 + (y + 7)2 = 225 to general form. 9. Transform x + y? - 2x - 8y - 47…

A: We have write the general and standard form of the given circle equations.

Q: Q(x) = -2x^2 - 4x +3 Complete the square to find standard form (vertex form)

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Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: (d) Find (AB)-' and (BA)-1.

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Q: identify any symmetry here. y=x^(2)+3

A: Let y = f(x) = x^(2)+3, then  f(-x) = (-x)^(2)+3.     { Replace x  with (-x)}         = x^(2)+3…

Q: 1. 4x (7x - 10) 4. -7y'y - 2y - 3y - 3)

A: 1) 4x2(7x-10) =  4x2(7x-10) = (4x2)(7x)+(4x2)(−10) = 28x3−40x2    4x2(7x-10) = 28x3−40x2 is the…

Q: Let F = (2yz – 3x) i + (3xz + 3y) j – (2xy+ ∞z) k. Find div F and curl F.. |

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Q: Verify that (cotx-cscx) (cotx+cscx) + 1 = 0.

A: (cotx-cscx)(cotx+cscx) + 1 = 0.

Q: (x² + 1)ª (2.x + 1)3(3x – 1)5 y =

A: Simple differentiation problem....

Q: P0HXでにん スXt1ocx

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Q: nd the ndcaed liml lim 15X +3

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Q: What is the equation for the following quadratic in the form y= ax^2 +bx +c

A: y=ax2+bx+c The given equation intercept the x axis at -3,0 and 9,0 The equation passes through 3,6…

Q: b) y = 2x √x+1

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.