11. yVI – r² + /1– y? = 0 %3D

Q: 7x? +6 Find dy for y = X 7x -6 dy =

A: Given that, y=7x2+6x Differentiating with respect to x we get,

Q: Find the antiderivative dx/(x2-100)2

A:

Q: Q4 Find y'of y = ln ? 1+e0

A:

Q: 4x2 +y d'y when = 2 and y = 1. 17 then evaluate %3D dx? (Answer accurate to two decimal places.)

A: This question can be solved using the concept of second order derivative.

Q: dy Q3) Find dx for 3(x? + y?) ² = 100xy

A: Here, the derivative dydx is obtained by implicit differentiation. Thus to find the derivative first…

Q: You need not expand your answer. dx Calculate y = (x + 4)(x2 – 4) Ap dx

A:

Q: is poured into the tank a te of 2 liters/min. Let y(t ial model for (t) and gol

A: The figure as,

Q: +y = e* + cosh 2x+x +y%3D

A: Solution:-As per guidelines I submit first question only

Q: ve for dx/dy or X y' +x 'y'+ 9. yxy+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4.x?y³. dx = xyt + 2 4x2,3 dy 4

A:

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: dy Given y = xy² + e* calculate and report the value of when y = x = 1. dx

A: Given,  y=xy2+ex

Q: cost Sint and y= 7. a Find dy for X-a zXP

A: Solution:- differentiate by parametric method

Q: Solve. dy 71. 5x*y? + x?y² = dx 72. e-1/x. dy = x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: (h) Find the value of r0.6 e*dx taking n= 6, correct to 5 significant figures by Simpson's one-third…

A: Given integral is                          ∫00.6exdx  ⋯⋯⋯⋯⋯ (1)  taking n=6, find the value of…

Q: auchy's m d g(x) = e %3D

A:

Q: S. y dk t x dly luhere L=

A:

Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

A: Given query is to solve the following using the substitution:→∫x-97dx→∫r23-r6dr

Q: Find the value of E 2) Evaluate y dx 3) x e

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Q: dx 2xVIn x (b)

A:

Q: У(x? — у? + 1)ӑх -x(x? — у? - 1)dy %3D0

A: The given equation is yx2-y2+1dx-xx2-y2-1dy=0 Compare with Mdx+Ndy=0 to get: M=yx2-y2+1 and…

Q: ey+Ve2y-4 5. x = In sove for y' 2 Inr

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Q: O g(x) = (3t+ 2) dl t %3D

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Q: e2 dx 4e2x – 8e* + 5

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Q: + (3x + 1)y = e d« dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 1+e4x 1+e9x dx.

A:

Q: in the tank at t minutes is given by 10t c(t) = 25 +t' where c is measured in grams per litre. When…

A: Let's find.

Q: dy 10. y-x dx dx

A:

Q: A. Solve the following equation using integrating factors found by inspection. 5. x(x? - y? - x)dx –…

A: Given differential equation is: x(x2-y2-x)dx-y(x2-y2)dy=0 To solve the equation using integrating…

Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: The formula for Simpson's rule is given by ∫abf(x)dx≈∆x3f(x0)+4f(x1)+2f(x2)+4f(x3)+f(x4). To find…

Q: 2 6x? Find dy for y = x? 6x + 7 dy =

A:

Q: dy Q3) Find dx for 3(x? + y?)2 = 100xy %3D

A: The given equation is 3x2+y22=100xy.

Q: c. Find for the above values of t. dx

A: (C) The given functions are y=2+t  and  x=t2-t. Evaluate the values of t for which dydx=2 as…

Q: x – dx х — 7

A: Given, ∫xx-7dx    We have to find the antiderivative.

Q: b) x(t) k =?. = xoe where x is molar concentration and t is time in seconds. xo =?,

A: Given,           A(t) =A0 + Apeaksin2πft

Q: EA Solve the D.E. by Laplace Thans Ferm + 2y = 12 e given ycazo %3D

A: first we apply laplasa Transform both side then we solve

Q: 7 dy find at x= 1. dx If y = 6x + dy at x = 1 is The value of (Simplify your answer.) xp

A:

Q: Find the antiderivative of dx/(49x2+16)2

A:

Q: dx 4e2a -8e+5 e

A: We want to find the integral.

Q: d The · (a²), where a is a constant, a e R, is dx A. 0

A:

Q: Find all antiderivatives for dP = 24 - 4x. dx P(x) + C.

A: The given equation is dPdx=24-4x.

Q: d'y If x=a (t-sint),y=a(1+cost) Find dx?

A: Given    x = a(t - sint),  y = a(1+cost) Firstly dy/dt and dx/dt will be calculated

Q: Q4 Find y'of y = ln- ? 1+e0 e

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Q: 2. S x?e dx = Note: no decimal answers are allowed and please show your work.

A:

Q: For 2 y=ln 2r find y'when x-e. エ=De

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Q: 1 y2 y3+3 dxdy 0 0

A: Let I=∫01∫0y2y3+3dxdy

Q: 4. y dx -x dy = x + y? .2

A:

Q: Solve the IVP: dy 12x + 3y where y(3) = 1 dx -3x + 2y Solve your solution equation explicitly for y…

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Q: Find the following initial value xdy – ydx = x*e*dx Let y(1) = 0

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Q: Q4 Find y'of y = In- %3D ? 1+e0

A:

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.