Compute c'(t)?

Q: Application of Differential Equation. Solve for the orthogonal trajectories. у — Зх + 1 — се-3х –3x

A:

Q: De Moivre's Theorem

A:

Q: Using Determination of Integrating Factors, solv y' = 2xy - x

A: Given differential equation y'=2xy -x

Q: 1 dx -1 1+ 3x²

A:

Q: equation with the appropriate slope field. y' = x-y 11

A: Show slope field on graph

Q: QI. Find the length of the of the curve from x = 0 tox = 3.

A: First differentiate  wrt xand then use formula

Q: e -t.6t rule

A:

Q: Using Beta function, show that dx 3- (b – x) (x – a) |

A:

Q: an integrating factor for the

A:

Q: Reflection: Across Line y = -x YA

A: When a point is reflect across line y=-x then x-coordinate and y-coordinate changes places and also…

Q: 6tan¬1 dw w

A:

Q: Evaluale tim xin xs

A:

Q: Y"+y=secxtanx By using differential operators Methode

A: Given: The given equation is y''+y=secx tanx

Q: 10x* – 18xy2 + 10y³ = 48 %3D

A:

Q: differential equation using Laplace Transform

A: We have to find out the solution of the given differential equation. The given equation is…

Q: Differentiation#29

A: Given,

Q: arctan(x) Evaluate dx or show that it diverges. 0, x² + 1

A: Using the fact that, 1/(1+x^2) is the derivative of arctan(x).

Q: Basic Integration (x²-6++4) dx

A: A polynomial in the variable x is a function of the form anxn+an-1xn-1+···+a1x+a0. This polynomial…

Q: (Requires calculus) Let X denote the prison sentence, in years, for people convicted of auto theft…

A: Expected value is given by

Q: Partial Differentiation. If u = In(x² + y?) and z = sin-(=), evaluate the following: azu 1. ax azu…

A: Here is the solution of the given problem.

Q: Solue the follocwing differential eyuatioon d2y-61y1qy-test whent= 0, y=2, It.

A:

Q: . Orthogonal Trajectories y = C (sec x + tan x) Oy² = 2 (C -sin x) 2y = (Csin x)²

A:

Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

Q: chain rule to differentiate the following 1 y = sec 4 sec* (√x + 3)

A:

Q: јariable X 3D (1, 2, 4, X), be described a

A: To find: The difference between binomial and geometric random variable.

Q: Differentials 3. Estimate v16.4 using the concept of differentials

A:

Q: Fourier transform

A: This question is related to fourier transform, We will solve it using given information.

Q: 1 - dt -dy=C %3D

A:

Q: e^x^2

A: Here, we have to find the integration of ex2, So, the given term becomes, ∫ex2dx, Now, in this case…

Q: Numerical Integration: 5 (2x² – 3x) dx 2. 2

A:

Q: Green's theorem

A: Consider the given integral, According to the Green's Theorem, So the given expression can be…

Q: forced response of the differential du

A:

Q: plant degrades according to the law dQ dt -0.04Q where t is measured in years. If the initial leak…

A: In this question, concept of the differential equation is applied. Differential Equation A…

Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

A:

Q: Differential equations, perform procedure Initial condition s(0) = 1 s’(0) = 2

A:

Q: y = - cot !

A:

Q: the integrating factor

A: In this question we will use basic of calculus i.e concept of differential equation. We will use the…

Q: 9-x dx

A:

Q: Fourier Transform

A: Fourier Transform is f(t)=F[ω]=[∫−∞∞f(t)e−jωtdt]

Q: イナ dx メーよ

A: Given :∫12x+1x-5dx

Q: 7topic: implicit differentiation

A:

Q: sec-1(V2+h)-sec-1V2 (ii) ļim h-0

A:

Q: What is a differential form? What does it mean for such a form to be exact? How do you test for…

A:

Q: (false position) make initial choices of x₁ = 0.5 y x₁ = 2.5 и and run iterations until the…

A:

Q: 1 х-х2 dx -8 2

A:

Q: 5. 2х + Зу\ %3 х2

A: Given :  2 x + 3 y 4 = x 2  Find :   implicit differentiation

Q: 8. exy = e4x – e5y %3D

A: we have to derivative

Q: (x? + Зу?)dx — 2хydy

A:

Q: Differential

A: (i) The given equation is exact and hence we open the brackets to get