4 Solve the following equation and find x: 2 cosh 2x+10sinh 2x=5

Q: Approximate the solution of the equation xlnx=1 with an accuracy of 4 decimal places. Use the…

A: You have not specified the method. I have therefore used the Newton Raphson method.

Q: dy 2. х 3y : = x2 dx

A:

Q: Q1: Find the general solution of the following equation. ỹ + 2y + y = cos²x

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Q: Without using a calculator, find all the solutions of 2 sec(t) V3 where – T <t< T.

A: Find the solutions of sec t=-23 , -π&lt;t≤π

Q: Solve the following equation. ln y = 3

A:

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: .Solve the following D. E y" + y' – 2y = x³ +x

A: y"+y'-2x=x³+x

Q: Solve the following equation for 0 where 0 <0 <n. 5л sec( 20 + 27л = csc 20 - 14 Provide your answer…

A: Given trigonometric equation is: sec2θ+5π7=csc2θ-27π14

Q: Solve the following DE x y" – 4y' = x e"

A:

Q: Obtain the general solution: 1. (D² + 25)y = -50 sin 5x

A: First we will find the complementary solution corresponding to the homogeneous part of the…

Q: (2y² + 3xy – 2y + 6x)dx + x(x + 2y – 1)dy = 0

A: The differential equation is given as (2y2+3xy-2y+6x)dx+x(x+2y-1)dy=0 Let the integrating factor be…

Q: Solve the following SLP y" + ly = 0 y(0) = y(1) = 0

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Q: 6. Solve the D.E. 2y" + 18y = tan(3x). %3D

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Q: Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy

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Q: Solve the following DE using variation of parameters (D2−1)y=ex+1

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Q: Use the method of undetermined coefficients to find the general solution: y" + 4y : = cos 2t

A:

Q: 4- Solution of the following equation 4xy²dx + (x² + 1)dy = 0 is

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Q: x2 +1 3. xe dy + dx = 0

A:

Q: 4. Solve the following equation; provide the general solution and the specific solutions on the…

A: We have to find general solution and specific solution  if cot 2x=3, 0≤x≤2π We know that if cot…

Q: What value of x makes this equation true? 5x +8+3x=26+6x OA 36 OB. 17 16 OD 9

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Q: Solve by the addition method: 11x + 13y = 9 1 lx + 26y = 13 O A. No solution %3D 3 4 OB.

A: We need to find (x,y) here which satisfy both equations

Q: use Euler me thod to solve y's 3x²+J h=0.25

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Q: (D² + 1)y = sec² x csc x X cSC X

A:

Q: Solve the following problem. n = 31 i= 0.037 PMT = $264 PV = ? PV =$__ (Round to two decimal…

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Q: Solve the following equations: (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Solve the following problem. n = 25; i = 0.039; PMT = $292; PV ? PV $ (Round to two decimal places.)

A: Formula:

Q: e of x to the nearest tent 8. 12 8

A: Using Pythagoras theorem , Hypotenuse2 = base2 + perpendicular2

Q: Solve the equation for exact Solutions over the in ter val L0,2TJ 2anx =sinx

A:

Q: Q1:-Solve the following equations (choose three only):- 3- x²y + 3xy' + y = 0 4- 2-4x+ 5y = sin3x dx…

A: Given

Q: Q1) Solve the following DEs а) ty" + (1 — 2t)y' + (t - 1)у %3D 0 y1 = et

A:

Q: Q2. Test for exactness and solve (4x³y3- 2xy)dx + (3x*y² – x2) dy = 0

A: Topic- solution of differential equations in exact form . Note:- as per our guideline more than one…

Q: Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy %3D

A:

Q: Solve y" – 4y' + 5y = e*cosec x by method of variation of the parameter? %3D

A: Given that, the differential equation is y''-4y'+5y=excosecx. The auxiliary equation is m2-4m+5=0.…

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

A: Using sine wave graph we can find it easily

Q: Q2. Solve the following:- r2 1) х4 — 1 2) cot(In x) 4) | (V1- (Inx)² -dp- 3) dx 1- x3 x In x

A: Basic substitution based problem

Q: Q2: Find General Solution (YGS)to the equation (Yª-1) Y=COS(2x)

A: From the given information. The given differential equation is as follows.

Q: Obtain the general solution: 1. (D² +25)y = -50 sin 5x

A: Using method of linear differential equations with constant coefficient.

Q: 1 dy 3 x*y3 y 4 dx

A: Given that    dy/dx -(3/x)y = x4y1/3  Here we have to solve the given differential equation.

Q: Q1. Solve y +8y" + 16 y=-sin x

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Q: (y4 – 2xy)dx + 3x²dy = 0; y(2) = 1

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Q: Use any method to solve the particular solution (D² + 9)y = 81x² + 14 cos 4x ; when x = 0 y = 0 y' =…

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Q: B. Test for exactness and solve. 2. Зу(x? — 1)dх + (х3 — Зх + 8у)dy %3D 0

A:

Q: Solve for x 65° OA X x = 60 degrees O B. X 3.X 70 değrees OCX OCX = 8Q değrees OD X = 90 değrees

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Q: 8. Solve for x and find value of SU. 10 U. V. D 4 T. 3x +15

A: Given data: UT=4, US=3x+15, UV=10 and UD=x+6 If chords TS and VD intersect externally at point, U…

Q: 2. Solve y"(t) + 4/(t) + 5y(t) = -2 cosh t

A:

Q: 8. (y + 1) dx + (4x – y) dy = 0

A: Given Equation is y+1dx + 4x-ydy = 0

Q: Solve for: a² S(sec³0 – sec®)d0

A: To solve: a2∫sec3θ-secθdθ Solution: Evaluating the integral. I=a2∫sec3θ-secθdθ=a2∫sec3θ dθ-∫secθ dθ…

Q: 3y(x² – 1)dx + (x³ + 8y – 3x)dy = 0; when x O and y = 1.

A:

Q: Solve the following equation to obtain the family of solutions.Show your solution. (2x³-xy²-2y+3)dx…

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.