dy Given y = 2u? and u = 8x – 1, then dx - 8(64x? – 2x + 1) 0 خيار 4 48(8x – 1)2 0 خيار 3

Q: dy You need not expand your answer. dx Calculate 5x2 - 9x + 19 y = 2x + 4

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: d²y Find dx2 , if y vx-x Jy = 9

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Q: D'y- 4. (4D - 4D³ - 23D2 + 12D +36)y = 0 5. (D° + 3D² + 3D + 2)y = 0 Dy +y = 0

A: The given differential equation is: (4D4-4D3-23D2+12D+36)y=0 The auxiliary equation is:…

Q: d'y Given: y = ax + bx³ + cx² + dx + e, where a, b, c, d, e are constant, find dx5

A: Topic:- derivatives

Q: d²y · given that y = (2x + 3)²(5x – 1). 9 find dzy dx2 %3D

A: Please refer to the image below.

Q: If x = 2t² + 3 and y = t* d-y – v2 then is 2 dx 1 a) 4 b) c) 2t d) None of These -

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Q: d?y Calculate y = e-(x - 9) – x d?y dx2 II

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Q: (D³ + 4D² + 9D + 10)y - 24 e*; when x = 0, y = 0, y' = -4, y" = 10. %3D

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Q: S Sz(x² + y³)dxdy, wherein B = {(x, y) E R²; 0 < x² + y² <4}.

A: Double integral

Q: 3. (Dª – 2D³ – 13D² + 38D – 24) = 0 4. (D² – D – 6)y = 0; when x = 0, y = 3, y' = -1 %3D

A: We have to solve the DE.

Q: dy If y = (9x2 – 6x +2)e3* find then choose the correct answer: dx %3D

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Q: . (r+ 4y – 8)dx – (2r + 8y + 6)dy = 0 Answer": 36(y – 2) + 22ln(-3x – 12y + 13) = ( %3D う 」フ ょうん。

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Q: 7. (D5 – 2D³ – 2D² – 3D – 2)y = 0 8. (2D3 – D² + 36D – 18)y = 0; when x = 0, y = 0, y' = 2, y" = 4

A: Note:- this is multiple questions and you have not mentioned is here which question you want to…

Q: d²y Find dx2 Given: 2xy + 2y² = 1

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Q: d/dx (2x'y²+8x-2y+3)=? Select one: a. xºy2 b. 14x°y? O c. 14x®y²+8 С. d. 14x°y²+2y O e. 2x'y?+8x-2y

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Q: d²y x-9 Find for y dx2 = (3x² –2x+5)

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Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: dz (D2 + 16) (D² + 4D – 5) (D² + 2D - 3)*z = 0, Dz = dr

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Q: dz (D² + 16)³(D² + 4D – 5)²(D² + 2D – 3)*z = 0, Dz = %3D %3D dr

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Q: dz If x4 – y4 + z - 3z = 2, then %3D %D dx a) 4x3-4y3 3-4z3 b) 4x3 3-4z3 c) None of these d) 4x3+4z3…

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Q: Q3 / Find d²y/dx² for the following; (5sec 3x) 2. x = t - t3, y = 2t + 5 1. d? dx2

A: The term represents the second derivative of the variable y. It can be obtained by differentiating…

Q: (х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

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Q: d²y if 2x2 + 5y² = 9. Find %3D dx2 Provide your answer below: -口 dy dx2

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Q: dy Find dæ? for y = csc(x) d²y dæ² ||

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Q: 5. (D2 – 5D + 6)y = 18x2 + 12e2* (Assume yp = Ax² + Bx + C + Ee2x)

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Q: (D³ + 7D² + 19D + 13)y = 0 when x = 0,y = 0,y' = 2,y" = -12 %3D %3D

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Q: 4. (D3 – 4D² + 4D)y = 0 5. (2D4 – 3D3 – 2D²)y = 0 - -

A: (4). The given differential equation is: D3-4D2+4Dy=0 So, the auxiliary equation is: m3-4m2+4m=0

Q: J(y) = S. [(2x – 3)²y? – 6y²] dæ, - 3)²y2 – 6y²] dx, Y € C²[a,b] Find

A: Given:

Q: d?y Calculate dx2 y = -4x2 + 7x d?y dx2

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Q: dy Given y= x³In x, -is dx A 3x2In x B B 3x2in x+ x2 ( c) x2 D 3x2

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Q: d²y Find for y dx2 x-9 (Зx2-2х+5)

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

Q: Find  d2y dx2  in terms of x and y. x2y2 − 2x = 7 d2y dx2 =

A: Given The equation is x2y2 − 2x = 7

Q: Q.2 R ex2-2 dxdy, where R between x = -y, y = 0 and x = -! -3, y = -9

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Q: y" -2y'-3y= 4e* +5, 54 d³y d²y 9. 3x %3| 3 10. . = 3e* +4x? dx? Soluc

A: In the question it is asked to solve the differential equation  y''-2y'-3y=4e3x+5…

Q: d'y Calculate dx2 y = -5x2 + 7x %3D d?y dx2 %3D

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: d'y (3x* – 5)(2.x² +9x–6) Determine the of y = 3 dx 7x

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Q: d³y Find dx3 where y = e*(8x + 1)

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Q: dy is If x? +2xy= y2, then dx A 2x+2y X-y B 2(x + 1) X +1 + |>

A: Given: x2+2xy=y2 The objective is to find dydx

Q: c) (x² – 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

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Q: Find dy/dx2 in terms of x and y. y = x5 d?yldx? = %3D

A: y4=x5can be written asy=x54 differentiating with respective x dydx=ddxx54=54x54-1=54x14

Q: f (x, y) = 3x² + y³ + 4xy² + 8 What is the value of df (x, y) dy when x = 2 and y = 5?

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Q: The evaluation of 3y3 e*y dxdy is е - 1 е -2 None of them O

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Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

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Q: Jad dy If x = t³ – 1 and y = 3e*, then %3D dx A) B) t2 C) et 3e D) 3t2 – 1

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Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Q: 9. (D+3D² + 3D+1)y = 0. 13. (4D* +4D³ – 3D² - 2D + 1)y = 0.

A: As per our company guidelines we are supposed to answer only 1 question. kindly repost other parts…

Q: dy b. If y = V(B1e* – B2 x³ + B3 x + B4 + In(x))5 , then find the dx A1=1 A2=5 B1=4 B2=6 B3=2 B4=1

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.