0. 7. L+ RI = E, where L, R, and E are constants whent = 0, i = 0 dt

Q: 4. S (sint + cost t ) dt A - cos t + sin t + C C - cos t- sin t + C B cos t+ sin t + C D cos t- sin…

A: 4. In this question, we need to find the integral.

Q: Let y = e=/5 Find the differential dy when r = 2 and dæ 0.5 Find the differential dy when z = 2 and…

A:

Q: 9. Find the differential of f(x) = e* at 1 with increment of 0.2. A. 0.2e B. e0.2 С. е D. 0.1e E.…

A: Given query is to find the differential of f(x) using increment.

Q: Find y': e siny + el cost esinz-esiny O a. e cosy te cosT O b. eysinz-e sinzy ос e sinzte siny…

A: Given problem:- ex sin(y) +ey cos(x) =10  find:- y'

Q: 3. The edges of a cube are measured to be 5cm long, with a maximum possible error of 0.1cm. Using…

A: Given : Length (s) = 5 cm  Error (ds) = 0.1

Q: find the general solution for the displacement, x(t) mx''(t) + kx(t) = 0 t is time x is…

A: find the general solution for the displacement, x(t)

Q: valuate this Differential Equation L di/dt + Ri = E; where L, R and E are constant and when t=0,…

A:

Q: (10 points) The volume V of a right circular cylinder of radius r and height h is V nT h. %3D (a)…

A:

Q: 1 (a) Evaluate the integration of the following functions: x 2 +2 (i) (ii) fx*e*. dx

A:

Q: Find the integrating factor of the following linear differential equatio rt P. 100 dP dt Select one:…

A:

Q: e the differential equation by th 1. dy_ x + y dx 2. – a² .2 dy y? – x?

A: Multiple questions:Since you have asked multiple questions, we will solve the first question for…

Q: (b) Starting with the voltage divider rule, show that the power transmission coefficient T of an RC…

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS * for partial derivative symbol, use the letter d 02…

A:

Q: 10.verify that each given function is a solution of the differential equation. y′−2ty=1;y=e^t^2…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 10. The integrating factor of the FOLDE y'-2xy x is e^(-x^2) I am Sorry !!!!

A: The given differential equation can also be written as dydx-2xy=x Since it is a first-order linear…

Q: 69. Find the value of dr/dt at t= 0 if r= (02 + 7)3 and 0?t + 0 = 1.

A: Given: r=(θ2+7)13θ2t+θ=1drdt|t=0=?

Q: 1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy dx + x + 4y = 10; æ dt - y = 0 dt

A:

Q: H ÿ + Hý+ 43Y = 48/t-3) yro) = ý(0) = 0 whese s(t) unit imPulse function %3D

A:

Q: If L= x + y dx dt and dy =3 dt what is dL dt when x=5 and y=12 Provide your answer as a decimal,…

A:

Q: -3x Given Z = ye 3* + 4y; where x = ln 2 and y 2 with possible errors Ax = 0.01 and Ay = 0.03.…

A:

Q: 13. The capacity of a battery is measured by |i dt, where i is the current. Estimate, using suitable…

A:

Q: Let y = e"/1. Find the differential dy when x =1 and dæ 0.2 Find the differential dy when a = 1 and…

A: This question is related to differentiation. We will use basic differentiation results to solve this…

Q: R(t) = In(1+t) + cos(t + /t Fluid leaks out of a bottle at a rate of milliliters per minute, wheret…

A:

Q: L4 + Ri = E,where L, R,and E are constants when t = 0,i = 0 dt

A: As we know that the solution for the linear differential equation dydx+Py=Q  is: yI.F.=∫QI.F.dx+C…

Q: 04/ Bind the differential of Hthe Punction at the indicated number f(x)- JzxAY x =4

A: We can find the differential at the indicated point as below

Q: Estimate Ay using differentials for the given function and the given values of a and dr 2/3 y =xe-,…

A:

Q: 14. Solve the equation d2x dt? -3 + 2x = sin t dt dx given that at t = 0, x = 0 and = 1. dt gent

A: We have a differential equation d2xdt2-3dxdt+2x=sint The initial condition is that at t=0 we have…

Q: 1. The exact differential d(xy)= xdy+ ydx, what is the d( = 4x' y'dy+2xyʻdx. 2. The exact…

A:

Q: Which of the following function can be used as an integrating factor for the non-exact differential…

A:

Q: Assume y is related to x through the differential equation: dy = b – y a- | dx where a = 0.0, b =…

A: Given query is to find the solution for differential equation.

Q: dy for e dx (*² +1), 6. Determine ln( 19) + x² – xy =

A:

Q: 6) g(z)= . cos(t) dt

A:

Q: 8. Let V(t) be the amount of water in a reservoir at a time t in hours. Water is flowing out of the…

A: Water flow rate is given by ,V1(t) = 3et+t + 1Now            V(t) = ∫ v1(t) dt…

Q: 5) Approximate the values by using differentials: a. 99 b. e0.1 с. 2.015

A:

Q: 16. Use differentials (that is, linear approximation) to approximate: V3.9 – e0.05

A:

Q: 24 ue'sin(s + 2t)

A:

Q: Which of the following is an integrating factor for the differential equation: ty' + (t + 2) y = 3…

A: Given differential equation is ty'+t+2y=3tan3t Divide the each term by t we get y'+t+2ty=3 tan3tt…

Q: 2. Matter cools governed by = -k(T – B) where ß is the dt temperature. Clearly T(0)=25 degrees and…

A: Given, dTdt=-kT-β where β is the room temperature, i.e. surrounding temperature. Newton's Law of…

Q: 8 If y' = x In a and y(e) = 4+ e, which of the following would be the constant of integration of the…

A: Given : y'=8xlnx and ye=4+e Let us solve the given differential equation ,…

Q: Verify if the given function is a solution of the indicated differential e v = lnsin(x – A) + B:…

A:

Q: In a circuit with an inductor of inductance L, a resistor with resistance R and a variable voltage…

A: t 1.00 1.01 1.03 1.1 i 3.10 3.12 3.18 3.24 Backward difference approximation of first order…

Q: What is the rate equation for Newton's Law of Cooling? T is the temperature of the body and Tm is…

A:

Q: 6. Given m = pq with a sin p – p = q and b cos q + q = p, find and m a qe. Hint: For calculating…

A:

Q: Q/ Find the deneral solution tb the differential eguation ( o-V= 1+x

A:

Q: 2. Find the following derivatives. (a) y = log; (xe*Y loz Leet (c) y = 38z2-5 (e) h(v) = e-2"…

A:

Q: 4. Find the first and second derivatives of the following: a y = ecosz d g(r)= 3re3 b. f(r) = (ax +…

A:

Q: 10. Give the differential of f(x) =x² - 3x at x = 1 with respect to the increment 1/10. 11. Use…

A:

Q: Get a similar question = y = 5√x. and the change in y, Ay when x = 2 and Ax = 0.2 nd the…

A:

Q: dy What value of k would make the differential equation + In(x + 1) x°yk variables separable? dz

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.