18. х %3D 2у — у', х%3D у x = y

Q: 2-X 2-x-Y dza dx

A: the given integral is: ∫01∫02-x∫02-x-ydz dy dx we have to evaluate the given integral.

Q: cos z) dz 4 5.

A: Given: - The indefinite integral is, ∫e2zcos14zdz To find: - The solution of the given integral.

Q: Draw a picture that shows the difference between dy and ∆y.

A: We know that, Δy is the exact change in y-values. dy is the approximate change in y-values by using…

Q: Find p, q if f f(x) dx – f f(x) dx = S," f(x) dx. (Give your answers as whole or exact numbers.)

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Q: If 3y-5x = 7, then at (-1,2) is dx %3D

A: This problem can be solved by differentiating the given implicit equation w. r. t x and then finding…

Q: Not sure how find these

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Q: 1. Determine 3 -dx x² - x - 2 (i) (ii) fre" dx

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

Q: 1メー 3.)*-12 dx (スータ)

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Q: Suppose that y varies directly with x and y = 3 when x = 9. What is y when x = 18? y = [ ? ] Enter…

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Q: (5) (sec-i x) =, d

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Q: 2-[x³.e* dx 3- S x².cosx dx

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Q: 8. y = sec3 (x³ + 3) + x 9. y = cot·1Vx²- 2x

A:

Q: Solve Variation of parameters to find y. and Yp and y y" + y = secxtanx

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Q: If Ex; 20, Ex = 200 and n = 10 for an %3D %3D %3D observed variable x, then what is the coefficient…

A: Given∑xi=20∑xi2=200n=10

Q: Evaluate the integrals

A: we have to evaluate the integral ;  5) ∫3sec2t6+3tantdt 6) ∫secytany2+secydy

Q: lve, using the method of variation of parameters: y/" + 4g/ sec 2.x

A: We will first find auxiliary equations and then find complementary solution to it.

Q: I/3 1 dx Ja16 \1+ tanx. R/6

A: SOLUTION:Given let   I = ∫π6π311+tan xdx= ∫π6π3cos xcos x+sin xdx=12∫π6π32cos xcos x+sin…

Q: 1. y varies directly as x, and y =} when x =

A:

Q: 6 tan1 d) dz 42] =O d. [9 csc1 2y =C e) dy d. f) da 5 cot-1 4gl

A: ddx(arc cosec(x))=-1xx2-1ddx(arc cot(x))=-11+x2 ddx(arc tan(x))=11+x2

Q: dy - y :- y = xy5 ху dx

A:

Q: SVx-2 Using substitution method to solve dx? Please identify u and find du. Then solve problem. x+1

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Q: 28. (ху? + х — 2у + 3) dx + x*у dy 3 2(х + у) dy; when x — :1, у %3D 1. ANS. (ху — 2)?+ (x + 3)2 —…

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Q: (1 point) Evaluate 1 2 xYVx² + y² dy dx. Answer:

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Q: Ir th line x=4+2t, ーも paralled to the plone 3x +ry +2=7-

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Q: dy -1,-if x²+y?=9 then dx 1- 2- y 3-х-у 4- (x+y)/3 2-

A: The equation is given by x2+y2 = 9                                        .........1 To evaluate:…

Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

A: To find solution of differential equation

Q: 4. y = = csc 1+2x) cot(1-2x)

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Q: dx 2х dy- . y

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Q: coth“ (sin 3z) -dz /1– tanh² 3z 12)

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Q: Ssin8 (3z) cos5 (3z) dz

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Q: 10. If cos(x + y) = 2x- 2y, find y'.

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Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

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Q: Solve using variation of parameters: y" +y= cos r COS

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Q: nS ISIna X -

A: Consider the quadratic equation as x2 – 12x +24 = 0.The formula for the general quadratic equation…

Q: 1 (a) dx, (22 – 8x + 15)i

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Given:  The number of cars produced when x dollars is spent on labor and y dollars is spent on…

Q: sec4 w tan w dw

A: Solution of given question is written in below steps.

Q: length of y = (x +7) + (x + 7) for 1 < x < 2. (Give your answer to three decimal places.)

A:

Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

A:

Q: x(1-5)dy+ y(けメ)よメ=o

A:

Q: Y= (10x; + x, } (5x, + x}

A: Consider the given: Y=10x12+x235x1+x225Partially differentiate w.r.t.…

Q: 3. (x + y – 4 ) dx – ( 3x – y - 4 )dy = 0 , when x = 4 , y = 1

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Q: 9. xdy + (y+x'y² ) dx = 0 10. xdy + 2ydx = xy² dx ; y = % when x= 3 %3D

A: Explained below

Q: ( 2x - 3y +4) dx + 3( x -- 1) dy = 0 ; when x = 3 , y = 2

A: The given differential equation is            2x-3y+4 dx+3x-1 dy=0; when x=3, y=2 ........ (i) We…

Q: coth“(sin 3z) 12) Vi- dz /1– tanh² 3z

A: The given integral: This can be written as, To evaluate the integral:

Q: Exact Equation 1. (6х + у?)dx + y(2х — Зу) %3 0

A:

Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

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Q: dy - 2x + 5 y --(1) dx 2x+ y

A:

Q: Solve y"= sin(r) if y(0) = 0 and y (0) = 8. y(z) = help (formulas)

A:

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.