now 1. yA y = 5x-x² 2. (4, 4) y =x

Q: 4 ( Calculate -2x dy

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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: 2. Solve x dy + y dx = 5x^2 y^3 dy O 5xy^3 + xy = C O 10xy^3 + xy C 10xy^3 + cxy - 1= 0 5xy^3+ cxy-1…

A: As per bartleby guidelines we only give first question answers.

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A: Given that a double integration .We use general  property of integration to solve this integration.…

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A: Follow the procedure given below.

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-

A: We will find out the required value.

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Q: Simplify

A: Given: To simplify the expression       (2x2 y-5) (6x-3 y)…

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Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

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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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A: We have to solve the integral

Q: 35. (yA – 2.xy) dx + 3x² dy = 0; when x = 2, y = 1 Answer: x = y'(x + 2)

A: I had solved the given equation by making it as Bernoulli differential equation which is of the form…

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

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Q: What is the equation of the tangent line to xy – 3y = 1 at the point (4, 1)? (Express numbers in…

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Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

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A: We have to find the value of x where 2x-jy+y-jx=1-j5

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Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

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Q: 2 4. S dy 1 y +y° - 3

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Q: 14-2x 1. ! ] dydx 0 2 2. dxdy 0 y 11-r 3. dycx o 1-x 4. [[ dydx 0 0

A: Answer 1: changing dy dx to dx dy; limits of integration: 0 ≤ x ≤  [2 - (y/2)] 2 ≤ y ≤ 4

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A:

Q: 4e-2t 6] d - x(0)= 1; y(0)=1 dt 1 8t x(1)=?

A: From the given matrix equations, we get:Given:A=-1210b(t)= 4e-2t-6 8t x0=1; y0=1To find: x1=?

Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

A: Given 3x2-y2=t2 and y=tsinθ

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A: We will use trigonometric substitution.

Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

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Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

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Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

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A: Differential equations and their type

Q: 2. Solve x dy +y dx = 5x^2 y^3 dy 5xy^3 + xy = c O 10xy^3 + xy =C 10xy^3+ cxy - 1= 0 O 5xy^3 + cxy -…

A: Let's find.

Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…

Q: Evaluate S. (x – y)dx + xydx where C is the y = 2x2 – 1 from the point (-1,1) to the point (2,7).

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Q: Evaluate B: А: Vye-y° dy 3e-4z2 dz 0, 0,

A: There is a general integral that gets calculated with the help of β function. The integral is…