If x +y = 1, find an expression for By dx? 2 x (a) (b) (x³ +y}) (c) (x²-3²). (d) (e) 3 x

Q: 3. Explain how you could solve the equation In z = 3 using the graph f(x) = ln x

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Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: Solve to find general solution: xef_1 1-x²y Екосев dx

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Q: .3 y = 2x + 5x from the point (-2,-26) to the point (4,148), you'd have to compute | f(x)dx

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Q: (3x -x2 dx 3.

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

Q: (4) fxe-x dx

A: Given: ∫xe-xdx

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: -) S xe²*dx .2

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Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

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Q: (answer three only) In(x² +x)-tnx-enx 3-5- In(e1) dx

A: 3. We need to solve, ∫lnx2+x-lnx-elnxlnex+1

Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

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Q: x² – 16 - dx = Mx + 2)3

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Q: 4-y2 dx

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Q: 6. If Jo(2x* +x-a)) dx = 24, find the value of a constant.

A: ∫0262x2+x-a dx=24

Q: Sla 1 z dx |(25 – x²)3/2]

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Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

Q: (x²-ax +4" dx

A:

Q: 2 d 3)[(3x2 – 4x +7)(5x³ – 9x)®] dx - -

A: Here we apply u.v rule of multiplication in derivative

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: | (56- x-x2) dx has its largest Find two numbers a and b with asb such that value. a a = and b =

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Q: 4 dx x2 4x2 - -- x2

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Q: (2x + Зу — 5)dx + (3x — у — 2)dy 3D0

A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

Q: 3 y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx a

A: Given function is                                                        y=2x3+5x we have to find…

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: 4- x²+4 dx ht. 23

A: To evaluate∫x3x2+4dx We can find the integral by substitution method.

Q: x+3 dx 1-x2

A: This problem can be solved using the concept of integration by substitution.

Q: 3r² + 10x + 7) In (z²+3) dz

A: I am attaching image so that you understand each and every step.

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: 2. Given that x2 + x-5 and y = when x = 2, find the value of y when x = %3D dx

A: Given: dydx=x2+x-5 and y=53 when x=2. Now, given equation dydx=x2+x-5 can be written as:…

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: 4. 10x (2x² + 1) dx

A:

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: PO 5.5. -X².11+ y²) xe dx dy

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Q: -.f x³ ex² dx 3

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Q: 1-3x dx Jo J2x-3x² 4. 2х— Зх?

A: Given problem is

Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

A:

Q: If x3+y3=19, find the value of d2y/dx2 at the point (-2,3).   The value of d2y/dx2 at the point…

A: x3+y3=19 Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Write the equation y in terms of x. That is, find the original function and determine "C".…

A:

Q: + 2r -1 dx (x2 – x – 2)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: Use the trapezoidal rule to evaluate ,2 2х dx % x² +1

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Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: -3 ³₁₂₁(4x²y - z³) dz dy dx

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Q: (D2+9)y=cos 3x

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Q: -1) 2. -dx (e² +1)

A: Given: - The indefinite integral is, ∫ex-1ex+1dx To find: - The solution of the given integral.

Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: 21 (b), dx -1 3e2x

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Q: 2. 16-x dx 2.

A:

Q: 20. Find f2x/(5x-3)dx

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.