An isolated bar is kept at zero temperature at its ends. If it's given initially 02y ax2 temperature, f(x) = 100°C, a² = equation u (x, t) is equal to: so the bar temperature %3D ax u (0, t) u (L, t)

Q: 54 (b) y =. sin 2x. 4 Find

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

A:

Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

A:

Q: Give the relation ln(y)+y=x2 find dy/dx

A:

Q: If f(x) = x* + x³ + x, find ƒ ¯'(3) and f(f¯'(2)). 11.

A: Topic:- function

Q: d y(x) if e²-y = sin x. dx

A: Using implicit differentiation,

Q: 1: For each of the functions below, decide whether it solves the equation: (y)² = 1 - y². A) y(t) =…

A: Given that the differential equation is .The objective is to verify the given solutions.

Q: What is the solution of the following equation: y(t) sin(t – t) dt = t Select one: a.…

A:

Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: Consider the variable coefficient linear non-homogeneous ODE where and where u and are unknown…

A: The given problem is to find the values of u' and v' for the which the particular solution yp =…

Q: If f(x) = 10e" + x°, find f'(x). > Next Question

A:

Q: If A is between X and Y, and XA = 3x, AY = 2x + 5, and XY = 60, find the value of ‘x’.

A: By using the given data, first we formulate an equation in x  and then solve for x.

Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

A:

Q: 1. Find the intercepts of the function. f(x)-x* +2 а.

A: Given data÷

Q: In physical chemistry, it is shown that the pressure P of a gas is related to the volume and…

A: Given- In physical chemistry, it is shown that the Pressure P of a gas is related to the volume and…

Q: If z = x2 – xy + 4y2 and (x, y) changes from (1, –1) to (0.96, –0.95), compare the values of Az and…

A: We have to use differential to find results.

Q: An isolated bar is kept at zero temperature at its ends. If it's given initially temperature, f(x) =…

A: First of all the question has a small error in place of (dt) (dx) was printed. Which I had corrected…

Q: Find the solution of the equation 200 az a²z + cos y Əx² Əy² which tends to zero as x→∞ and has the…

A: Given differential equation∂2z∂x2+∂2z∂y2=e-xcosy. The objective is to find the solution of the…

Q: 3 If f(x) = Vx and g(x) = x° – 23, simplify the expressions (fo g)(3), (f o f)(4), (g o f)(x), and…

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: Given f(x) = -3x + 3 and x = 3r In (2s). Find f, (2, 4). Give your answer correct to two decimal plo

A: Follow the procedure given below.

Q: Q1. Solve two of the following: b. (f'(t) if f(t)= sint

A:

Q: 2- The homogenous diff. equation can be put in the following form: B- y' f(x)

A: Here we will find the correct option,

Q: "+9y' + 18y = 0

A: Topic:- application of derivatives

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.