t (b) x(t) = S 3t cos(4t)dt

Q: Determine whether the given differential equation is separable. dy + 2 sin (x + y) = 0 dx

A:

Q: Find the general solution of the differential cquations : d2y = e2* (12 cos 3x – 5 sin 3x) dx2 2.…

A:

Q: Find the differential dy of the given function. y = V3- x² dy

A:

Q: What is the solution to the differential equation if x = 1 at t = 0 and, dx/ dt = 0 at t = O?

A: dxdt=0  at t = 0 means that the slope of normal line passing through the point (1, 0) is 0.

Q: Find the general solution of the differential equation dx =t (1+t² ) sec² x dt.

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: Find the differential dy of the given function. y = V4 - x2 dy =

A:

Q: 14. Solve the equation d?x 3 +2x sin dt2 dt dx given that at t = 0, x = 0 and 1. dt nent

A: See the details solution in below

Q: d Vi In(t)dt equals dx

A:

Q: d²x dx + 2 * + 5x = e-t sin t; dt [ = x(0) = 0 x'(0) = 1 %3D dt2

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x/9 – x²

A:

Q: dy %3D ху + 3х — 2у — 6 dx -

A: We have dydx=xy+3x-2y-6 Now, we can write it as…

Q: Find the differential dy of the given function. y = 3x2 − 4

A: Given function is Differentiating with respect to x, we get Therefore , differential dy is

Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: (a) Find the differential dy. y = 1/x+1

A:

Q: х+1 y = 2x

A:

Q: Find the total differential. w = e3y cos(5x) + z5 ||

A:

Q: Find the differential dy of the given function. y = (x + 1)/(2x − 1)

A:

Q: If y approximate the differential dy when x changes from 64 to 64.07

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x+3/2x-3

A: Quotient rule of differentiation:

Q: (d) Ln 8(t – 2) sin at dt (h) 0 ex-1) cos 4 (x – 5)8(2x – 3) dx

A:

Q: b. g(x) = [ cos(r*)dt x²+5x F(x)= [,(6r* +6e° )dt с. 6t +6e" dt

A: We have to find derivative

Q: Find the differential dy of the given function. y = csc 5x dy dx

A:

Q: Hello! Can you help me with this calculus problem?

A:

Q: -cosh(x)dx 18) St?cos(2t)dt S 2y²e»*dy 19) Sxeax+1dx dx Sx²e2*dx 20) S x-x2 ) (2?/ª x)°e-In(x²)e3×dx…

A: We have to find the integration.

Q: Solve y(x) in the differential equation using Laplace Transform. y" + 4y + 10 = e-³x + sin(x); y(0)…

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

Q: Solve the differential equation using Laplace transform of y" − 4y′ + 4y = 4 cos 2t ; when y(0) = 2…

A: Solve given differential equation by using Laplace transform. y" - 4y' +4y = 4cos2t when y(0)=2 and…

Q: Match the differential equation dy / dx = sin 2x with its slope field.

A: Match the differential equation dy / dx = sin 2x with its slope field.

Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

Q: Q1: Find 1) e (3 + e6t)2 2) l {e-3t(t + 1)²} t } 3) e- sin 3x dx dt 0,

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+1)/(3x-5)   dy=

A:

Q: dx + 2x = dt dy + 10 cos t, dt ay + 2y = 4e-2t – dt 业 da if x = dt rstem

A:

Q: dx 2а — У dt fip dt x + 2 cos(t)

A:

Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: Solve the fourth order differential equation completely d*y d°(y/x) dx sin(x)+ cos(x) %3D 3 dx³

A: Given: A fourth order differential equation…

Q: dy Solve the differential equation y dt +2y cos(t) = ye'.

A:

Q: Find the differential of the function. z = e-5x cos(9xt) dz = dx + dt

A:

Q: Find the differential dy of the given function. y = V 3 - x2 dy =

A: Find derivative

Q: Find the differential dy of the given function. y = V4 - x2 dy

A: Consider the given function. The problem requires to find the differential dy of the given…

Q: The

A: This is Linear Differential equation in x. We use method of separation of variables.

Q: 1) Se2t cos(e') dt

A: Consider the integral  ∫e2tcosetdt

Q: ve the given differential equati dy dx - (1 + x)y = xy

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

A:

Q: Find the differential of the function. Z = e-9x cos(2rt) dz = dx + dt %3D

A: The total differential of the function  is given by . So, to find , first we need to find the…

Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

A: Given simultaneous equation, dxdt=3x+2ydydt+5x+3y=0 The eigen value of a matrix is calculated by…

Q: Find the differential dy of the given function. Y=x+1/3x-2 Dy=?

A: Given, y=x+13x-2

Q: B) Solve the differential equation by using Laplace transform y" - y = -t² y(0) 2 and y'(0)=0

A: The given equation is;  y''-y=-t2, y(0)=2, y'(0)=0.

Q: Find the differential dy of the given function.    y = x√(1 − x2)

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.