4' for T- T2• T, and T- T1• T2. x - 5y, 4x + 2y) y, 0)

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

A:

Q: M(3, 5) is the midpoint of PP2, where P has coordinates (0, 1). Find the coordinates of P2.

A: M (3,5) is the mid point of P1P2¯ , where P1 has coordinates (0,1).we have to find the coordinates…

Q: y(6) – 4y®) +6y® - 4y'+y =7

A: Answer

Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: x+2y-z=2, y+2z=1, x+y-3z=1 what's x,y and z here?

A:

Q: +タ x2 – 1

A:

Q: 2x + 2y + z = 16 x + z = 34 y − 3z = 34

A:

Q: 9) If y = 3x +x² - 5 and z = x2 - 12, find 2(y +z).

A:

Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

A:

Q: - y" - 5y + 4y= 2et

A: y'' -5y' +4y=2etThe general solution to axy''+bxy'+cxy=gx can be written asy=yh+ypyh is the solution…

Q: Differentiate 4(x + 2y)2 = x2 + y2

A: given equation 4(x + 2y)2 = x2 + y2

Q: Suppose that x 1 4 + y 1 4 = 2. What is y 00 at the point (1, 1)?

A:

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

A:

Q: Consider the two following graphs and answer the following questions. a) Are G and H isomorphic?…

A: The graphs given are as follows:

Q: For two points (x1, y1) and  (x2, y2) such that xi > 0, yi > 0 for i = 1, 2, we say  (x2,…

A: There are about 4 functions provided.To show:They are Schur convex or not.Concept used:i) Any…

Q: Find point P(x,y) if it is equidistant between points A(2,9) and B(-3,6)

A: Given:-  Px,y is equidistant  from the points  A2,9  and  B -3,6 i.e,  AP=BP and  we know  that…

Q: Find b∈R so that ∫C4x^2dy − 2xydx = 53, where C is the segment from (1, −5) to (−2, −3), followed…

A:

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: Find and a and дхду f(x,y) = x2 - y2 + 6xy + 4x – 8y + 2 a. b. f(x, y) = e*y + xy

A:

Q: 3. Find the value of y when x = 0. a) y= 3x - 1 b) y= -0.5x + 2 c) y= 2x = 3(0) – 1 = -1 =-O.5LO)+a=…

A:

Q: If ƒ (x, y) = x³y5 + 2xy, then what is the second coordinate of Vf? (Remember to use * for…

A:

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 =&gt; fx(3,2) = 66

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.