u ди 100 0 < x < 1, t > 0, u(0, t) = 0, u(1, t) = 0, t> 0, 1(х, 0) — sin 2тх — sin 5лx, 0 < x < 1. -

Q: cos y = e

A: Need to find differentiation for given function

Q: f f(x)=sinx and f(x)=-1, calculate x for 0°<x <360°.

A:

Q: From your plot, find the time, t, when current, I is maximum. Find the time and the phase…

A: We are given the alternating current I = 5 sin(120πt + 0.52). Here, the unit of I is mA and of t is…

Q: A particle travels along the r-axis such that its velocity is given by v(t) = t0.2 – 3t + 3 cos…

A: The velocity v(t)=t0.2-3t+3 cos(t2). So, v(1)=1-3+3 cos(1)=-0.379093≈-0.379. Also, ⇒dxdt=t0.2-3t+3…

Q: 5. The average rate of change of the function y = cos x, from x = A. 0 C. B. - TT 2πt = to to x = is…

A: ;  to .We have to find the average rate of change.

Q: h(x, y) ) = tan¯¹ (²), What is the value of hxx when x = 1;y=1 a. b. C. 2 1123INL d. 1

A:

Q: Find 12% of the following function: dx لا xe = Cosh (xy)

A: The given function is: .We need to find .

Q: Differentiate the function with respe z' = Z A .6 yo + Bey

A:

Q: The acceleration function a(t) v (0) places. a) Find an equation v(t) for the object velocity. of an…

A:

Q: cot x B5. Find- dx for the function y = 1+ cot x

A: Solution:-

Q: dy If dx 3 sin 5x find the equation connecting y and x in the form y = f(x) if y = 5, for r =5-…

A:

Q: So e co cost sin 2t dt

A: let I=∫0πecostsin2tdtformula used is…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.