How do I solve q=f(t)=t3/4+t2/3+6 if t=4?

Q: 2.3 - Can you show the steps to solving this problem? Differentiate. (33) y = (t^3 + 3t)/(t^2 - 4t…

A: Please see the white board for the quotient rule of differentiation. In this case f(x) = f(t) =  t3…

Q: Q2 Solve the equation f(x) = x e*-1, Using the false position method in [0,1], with e=|X4-X+1|=0.05

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Q: researcher in physiology has decided that a good mathematical model for the number of impulses fired…

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Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

A: Some of the properties of Laplace transformation are ,…

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 13 and f(0) = 3.

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Q: Q4: Solve the initial value problem: ty = 2y +t %3D

A: The general solution is, y = y(t) = t³ + t²•C, where, C is the constant of integration.   The…

Q: Find the general solution of (T^2 + 4)y' + 2ty = t^2 (t^2 + 4) with the variation of parameters…

A: In this question, we find the general solution of (t2+4)y'+2ty=t2(t2+4) with the variation of…

Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: dy = -8xy² dx 3. Solve + 4x(4x+1) y-(8.x² +4x² -1) by knowing u =x is a solution.

A: Given: dydx=-8xy2+4x4x+1y-8x3+4x2-1

Q: 3. Solve for the root(s) of the equation f(x)=3x³-4x²+8x+4

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Q: - Find the number of non negative solutions to x + y + z = 21.

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Q: 2r + 4 Solve R(x) 2 0, where R(x) X - 1

A: Replace the value of R(x)=2x+4x-1 in the inequality R(x)≥0. Then solve for x. After substituting the…

Q: Find general solution of " – y – 2y = e2t

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Q: Find f by solving the initial-value problem. f'(x) = 7e* – 6x³, ƒ(0) = 5 -

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Q: Solve the initial value problem: f(x)-x7+12x+17 and f(0)=3.

A: We will rearrange and then integrate both sides to find the solution of the given initial value…

Q: How do I solve T=I/PR X 360 for "R"?

A: The given equation is

Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: Solve * + 3x - 4x = 20t, given that at t = 0,x = 0 and i = 0.

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Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

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Q: Use separation of variables to find a solution to: k>0

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Q: B1(b): Solve the initial value problem : f'(x) = x10 + 12x + 12 and f(0) = 7.

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Q: dy y/5y² – 3

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Q: Q4 : solve 1) ez = 1+ jv3 2) z3 – 1 = jv3 3) e2z-1 = 1

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Q: Find the general solution to x”-3x’+2x = e^t

A: First we find complementary function then particular integral and then general solution.

Q: What is the particular solution for y′=6e^x+x^2−7x y(0)=6?

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Q: Q3. Solve for t ex* e2x+1 = et

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Q: solve in R the inequation Vx +4 < x + 2

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Q: What is the particular solution for y′=6e^x+7x^3−7x+1 y(0)=−4?

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Q: Q4: Solve the initial value problem: ty' = 2y + t³

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Q: - y" – 2y' + 1 = (x + 1)e2x

A: Just I have used the method of variation of parameters and easily find the required solution.Final…

Q: Solve []=[ x (t) = y(t) = - 3 1 -41 -5 [2] x(0) = - 2, y(0) = 23

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Q: Find the particular solution determined by the initial condition. f'(x) = rx) = 2x2/5 - 3x, f(1) =…

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Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given,…

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

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Q: Is t3 t2 – 2dt , can be solved by 3 methods? -

A: Yes, the above problem can be solved by three different methods. The three methods are as follow:…

Q: Solve: y' + 3y = e' :) By Method of Variation of Parameters :

A: Given: Given differential equation is y'+3y=et We solve this equation by  variation of parameter…

Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: Q2/ By using partial method solve fx² In x dx

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Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: 02. Solve the DE. y" = x2sinx 2. by using variation of parameters method.

A: Given: y''' = x2sinx.

Q: B1(b): Solve the initial value problem f'(x) = x° + 12x + 14 and f(0) = 2.

A: Solution:Given     f'(x)=x9+12x+14  and f(0)=2Formula:∫xndx=xn+1n+1+C

Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: 3. 2y" + у' %3 А. 3 В. Зx2 С. Зх D. x?

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Q: 4. Solve y"- 4y' +3y = 1 by variation of parameters. %3D 1+e-*

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Q: Q13. Use Variation of Parameters to solve the DE e2x y" – 4y : - %3|

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.