dx х2V9 — 25х2

Q: 1-V3x+2 dx 1+v3x+2

A:

Q: SVe -z) + 4 dz

A:

Q: 7) va = 4h %3D

A:

Q: -dx х2-1 2,

A: we have to perform some mathematical operations to solve this, then using partial fraction to get…

Q: solve e dy = 2xy +ye* Vet .....

A:

Q: Giyen (x +2yi)(-4j) = _ei, solve for x and y. Express the result in rec- tangular form.

A:

Q: solve for t

A:

Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)

Q: Solve the DE x²y"-3xy'+4y=lnx.

A:

Q: [ 1 x2 -a2 dx

A:

Q: solve cosh-bx=tanhtx %3D

A: x is real or complex

Q: 213 dx 4+x² ,2

A: We will use substitution to solve the integral

Q: cegrate by trigonometric substitution: dt (4x² +9)**

A:

Q: Solve [15x/1- xdx . S 3xV3x2 + 4 dx = --

A: 1) the given integral is 15x sqrt(1-x). 2) the given integral is 3x sqrt(3x2+4).

Q: Suaef(Ox-tan(Sx-) dx 2 2

A: Given:

Q: Solve u =4UKX ullo,t) =56 uCXro) =100 l00 25 * Sinx+5X

A: The given problem is to find the solution for the given heat equation partial differential equation…

Q: solve differtial eauatiun 6x dy +(61ny+5) ¿x =o

A:

Q: S¥×(2x³ + 1)dx 3,

A:

Q: Solves dy

A: It is given differential equation is dydx-2x=2xy2. dydx=2xy2+2xdydx=2x1+y2dy1+y2=2xdx Integrate on…

Q: " + 2r' + 2r = te,

A:

Q: dy

A: Given below the detailed solution

Q: Find (5z" + 7æ°)dx

A:

Q: 1. dx *² +4x+5 Sz

A: The given integral is ∫dxx2+4x+5 We have to find the integral

Q: zoom in 28 Er m. 10 14 X+7 28 co sh tw 14x = 28(x+ 7) 14x - 28x + 196 -196 = 14x -14 = x 3. II

A: Simplification

Q: Find the formula for dz Xx2

A: Given z=fx,y where x=est and y=s2t3 It is asked to find ∂z∂s.

Q: 01 (solve exact de) Y'(2y - xexy) = 2 + yeXY %3D

A: Given differential equation is  y'(2y-xexy)=2+yexy we have to solve this differential equation.

Q: २ 29x-x² dx

A: Given problem:- Evaluate ∫√(29x-x2) dx

Q: dx 4 3+Vx+2

A: Topic = Derivative

Q: solve with trig substitution

A: Using trigonometric substitution, x=3sint

Q: / Va? – 4 dx, х > 2

A:

Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: Integrate: 4 トズ こ+2x+S Use a tria pubetitution,

A: Lets find integration by using trigonometric function.

Q: Se2x sec?e2x Vtan e2x + 2 dx

A:

Q: dx Ji slx+4) 1 (r+4

A:

Q: b. Solve for x: sin(x) = for x E [-II, 211] %3D

A: Using sine wave graph we can find it easily

Q: 4 dx V1- 25x2

A:

Q: Solve using integration by parts de 3/2

A:

Q: Solve the DE x2y"-3xy+4y=lnx

A: Given the differential equation is                                 x2y''-3xy'+4y=lnx ⋯⋯⋯ (i) Solve…

Q: Solve for x. Sx+10 58° 11x+2 U

A:

Q: Solve for the arbitrary constant. Show complete solution. ln y = c1sin3x + c2cos3x + 9x2-2

A:

Q: So xV1 – x2 dx (use substitution method)

A:

Q: Sí Si (3x² + 4y³)dydx

A:

Q: Find Jog %3D 1-cosx dz n=770

A:

Q: 2х dx e2x

A: We have to solve the integral

Q: solve 3 2 y co) = dx2

A: Given that: d2ydx2=32y2,   y(0)=1 and y'(0)=1

Q: how that 1 dn v2

A:

Q: on(1-y)csc²( y) dy

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

Q: Find Inz3 -dz

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.