oU solve the diffreree y" + 8x, S(n)

Q: 13. y = x'/9, 0 sxs 2; x-axis

A: The formula for area of revolution of a curve on interval [a,b] about x-axis is given as…

Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: 3) Evolvate Ci(0) e²/z dz е

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Q: 6. S -3dy 2y2+14y+70

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Q: ☺ cosh"z= Loy {2+/2

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Q: dy 8. V1+ V1+x 1

A: From the given problem: I=∫-18dx1+1+x   ...1 Let, u=1+xSo,dudx=ddx1+xdudx=0+1du=dxFor the…

Q: (d) Evaluate [(2xr² – 3x)dxusing formula develop in part (c)

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Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: Q3. Solve dy (x+3) dx S 3x, 0 3.

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Q: x = 2 + 3t, y = cosh 3t , 0 <y<1

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Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

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Q: dy 15 +4y-042

A: ∫115+4y-4y2dy

Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t &amp; y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1…

Q: (y + 5 y³) dx

A: To differentiate(1y2-3y4)(y+5y3)

Q: eY+Ve2y-4 5. x = In sove for y“ 2.

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Q: Solve for x, y z from X - 1 1 2 Z 3. 6 6

A: 2x-113y=2z66

Q: tion: y" – 3y' = e3 – 18x. - -

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Q: 3 V9-y s S f(1,y)dxdy. y)dzdy. y-3

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Q: dx х V1-4 In2х

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Q: 7. Solve: dy x + 3y dr 3x + y

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Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: Solve f (5x + 6)eª dx using Integration by Parts. Use u = 5x + 6 and v' = e".

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Q: 1. S dx x² -1

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Q: 4x -dx using Trapezoidal Rule with n=5 x2 + 4 Evaluate

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Q: Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper rounding…

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Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: 8.) Find of y3 = x* + 3x d?y dx2

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Q: Solid inside x2 + y2 + z2 = 16 and outside z = √x2 + y2

A: Given:

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: 2. Find deri vative y T-2X y=3e6x %3D

A: Given,          y=3e6x+e1-2x

Q: dx What is the best substitution to evaluate V2x 2х - х* |

A: Given I=∫dx2x-x2If we consider x=1+sinθ and dx=cosθdθthen,I=∫dx2x-x2=∫cosdθ2(1+sinθ)-(1+sinθ)2

Q: I Y=t5メPYove th y-2(21くるど

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Q: 4-y² ²) dædy 2 2

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Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

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Q: 2.3 - y 5e2, with y(0) = 0 and y'(0) = 1 %3D

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Q: Solve y"(t)- 2y' (t) + 5y(t) = H(t); y(0) = 0; y'(0) = 1; where H(t) = (t+2,0 ≤t <2 2t - 3,122

A: We have to solve by Laplace transform.

Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

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Q: (62 - y+3) dz+ (3y2-a-2) dy= 0

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Q: Solve using variation of parameters: y" – 2y' + y = -

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Q: Q1: Use trapezoidal method with n=4 to approximate 4x4 dx

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Q: dy 6. S: y3-2y2

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Q: + Vs + es +- ds n = 3 From left endpoint s² + 1

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Q: 3) d?y 1zloge %3D dx2 エ マ2

A: There is a correction in the "Answer" provided by you. So I have solved and given a solution with…

Q: 523 + 222 – 5 y = dy then dz 3x + 2

A: Consider the provided equation, y=5x3+2x2-53x2+2 Find the derivative of the equation with respect to…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.