Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

Q: 3 %3D

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Q: INtegrate  sec2(2x+3)

A: Given, ∫sec22x+3 dx   We have to integrate it

Q: Find the sixth term of (3x - 4y)

A:

Q: max z = 4x1 + x2 s.t. 8x1 + 2x2 < 16 5x1 + 2x2 < 12 X1, X2 2 ()

A: LINEAR PROGRAMMING PROBLEM: BY graphical method

Q: valuate the X = (3-9) JJ²

A: We solve by using double integral.

Q: What is the value of f(2) for the polynomial x ^ 3 + 3x ^ 2 - x + 1 ? What does this mean about the…

A: Here, fx=x3+3x2-x+1

Q: 3) 2dx 2dx (3x+12x-15)호 x(3(\nx)"+1지lnz-15)호

A:

Q: Use initial value Xo = [-2, 1, %3D -0.5] -2X1+ X2 + X3 = 4 Хз — 4 X1 – 2X2 – X3 = -4 X2 + 2X3 = 0

A: We will solve this equation using the gauss-seidel method. so for that first, we use the initial…

Q: snip

A: Determinant: For every square matrix A=aij of order n, we can associate a number called determinant…

Q: 6dx S: ³√x² x-

A:

Q: =2x, 0Sx<2 is

A: f(x)=2x, 0≤x≤2

Q: Show that 22x-1 Г(2x) - r(x) r

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Q: fxVx+ 6dx

A:

Q: How do you solve this equation?

A: Given,

Q: 2x+3y -2 = 4 3X++22= 13 X+ 2y-s2=-

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: [- 10,10] Xscl = 1 [- 500,500] Yscl = 50 f(x) =x - 10x - 12x2 + 234x- 463

A:

Q: 24x2 dx V25-x2 30 dx x2Vx² +81

A: By using integration by subsitution method

Q: こ (0) of

A:

Q: Differentiate the function. 3 + 4x y = In 3 - 4x

A: Topic:- derivatives of function

Q: 2. +-3x-1 x2メ+S

A: We have to find the limit of the function f(x)=x2+3x-1x2-6x+5, Also graph the function.

Q: xVx – 1 at x=2.

A: Given y=xx-1at x=2

Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

A:

Q: 2 v2x-x2 XY xydydx 0 0

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Q: 2x Ax) = %3D 2 - 1

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Q: 2dx Evaluate (x – 3) Vx² – 6x + 5 -

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Q: Evaluate 5.Hx)= -4+6:V-a>X-4 %3D

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Q: Differentiate. 5x g(x) = +x 2x+3 g'(x)=O

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Q: Show that Live - de = In(V5- 2). -1 Vx2 + 2x +2

A: We need to show that, ∫-11-dxx2+2x+2=ln5-2

Q: Find (x2-2x/1000) x approaches 0

A: Consider the limit on putting x=0 there are no indeterminate forms occurring.

Q: If Var(X)=3, what is Var(2X + 1)?

A: GivenVar(X)=3

Q: -2 kx 1<x<0

A: The probability density function given is, fx=12kx-2 , 1&lt;x&lt;∞0 , o.w Here X is the random…

Q: 3. V4- (x – 3)²dx.

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Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: хах V4x-2

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Q: 8x-7x+8 f(x) = 4x +2 %3D

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Q: Simplify. x-1 Vx2 + x+ 1

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Q: x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

A: The given integral is  ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx To evaluate the integral.

Q: Integrate x2

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Q: Find the 3rd term of (x + 2)³.

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Q: - 25a³ + 25x² 19x + 19 -dæ Integrate: 25x² + 16

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Q: differentiate using delta method y= x2-6x+8

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Q: Differentiate y= Vcos-1x 1 2/1 – x²Vcos-1x 1 2vx-x²Vcos¯1x 1 V1-x2 Vcos-1x 1 2vcos-1 x

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Q: Solve for x using natur 1) 5x-2 = 33x+2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Vx In xdx 1

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Q: What is the coefficient of x'y' when (x – 2y)² is expanded using the - Binomial Theorem?

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Q: 3x +1 at x = 1

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Q: By applying product rule to find y' 3 (1+x*) x4 - x*

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Q: Find the 4th term: (x+2y^2)^5

A: We will use binomial expansion formula.

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1

A: ∫xdxx-1