If Ø(x. y. z) = 3x²y – y³z² , then VØ = %3D

Q: Find e* + x-2 + C e* – 1+ C + C (1/2)x² e* – In |x| + C

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Q: dy If 2y = xlnx, then dx (In x)xinx (xinx) In x (b) (d)(In x)xanx) 2

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Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: 10) W 3x -4 M x+3 • 2021 Kuta soft ware LLc. AIl righis reservet Made with Inf inite Geomery. 11)…

A: In a parallelogram, opposite sides are equal to each other.

Q: ZA = ZD А B O SAS O ss O ASA О HL

A: We need to prove triangle congruency iden

Q: 19. ty" + e'y' + 2y =g(t), yp(t) = 3t, t > 0

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Q: 11z Evaluate ſ dz ƒ dz ĵ e² dy.

A: We have to solve the given integration and find out which option is correct.

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex²

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Q: If y(s)=1/(s2-3s+2) , and y(t)=L-1(y(s)) , then y(1)=? (a) e2-e

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Q: S (x+5g+wz) dzoly de ax X-つ

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Q: If f(x) = x(e*+4æ) , then f'(x) = (A) (e + 4) In(x) + e+4x (B) (eª + 4) In(x) æ(e²+4æ) et+4x (C)…

A: Here we will find f'(x),

Q: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: ー2 f Cx.y)=In Cx Zp

A: Please refer to the image below

Q: الرابع: جد ناتج احد التكاملين التالي ين 1- Smte) xy e*y° dxdy 2- r? N4-y² ry8-x²-y" zdzdxdy x²+y2 2-…

A: 1 ∫01∫0ln(2)xyexy2dxdy first we will solve ∫0ln(2)xyexy2dx ∫0ln(2)xyexy2dx=y∫0ln(2)xexy2dxSubstitute…

Q: What is the solution of the given ODE xy' + y = Vx

A: Given: xy'+y=x

Q: Find the most general antiderivative. x2 xp O 25 - +C 2x - +C O - 2% + C 2 2

A: =>x^n dx = x^(n+1) / (n+1) + c

Q: (t5 + 1)dt dp 3.

A: ∫3xt5+1dt =t66+t3x =x66+x-366-3 =x66+x-2492

Q: If y = ee then y' – y" + e"y' is equal to

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Q: S[e²t. √4+e²] dt

A: Evaluation of the indefinite integral, by using substitution method

Q: (d) y = x/1 (e) y = e", y = e3, and x = 1 (f) u = 2" , y = 5", and x= 1

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Q: FIND THE GENERAL SOLUTION OF THE D.E.

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Q: What happens to N(t)=100x e^(5t) as t → infinity? Based on your answer would you consider this a…

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Q: 3y°e3ry – 1+ (2yey + 3xy°e*") y' = 0 y (0) = 1

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Q: 7) y'+ ky = e 9) xy' – 2y = x'e* 13) y'+xy = xy -1

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

Q: 8y dy e2y

A: topic - definite integral

Q: rowtn: dP = kP(1 dt – M

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Q: CV4-x2 4-x2-y2 1- o So Si s** ydzdydx Jx²+y2

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Q: dp apš – Bp dt p(0) = 0

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Q: Step 1 1 + In 2xy = e2x - y, (1/2, 1)

A: we will find the required.

Q: 1. The value of E (x\y) is

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Q: If f(x) = x(e+4x) , then f'(x) = %3D (A) (eª + 4) ln(x) + e"+4x (B) (e" + 4) ln(x) xe+4x) (C) ((e" +…

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Q: If (x+1) dx (x+2)(x-1)² S -=S= A B + x + 2 + x-1 C (x-1)2 dx, the values of A & C respectively are:

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Q: Find the general solution of xy²dx = e

A: By using variable and separation method

Q: If y = e3x+18 then dx O 4e3x+18 O 3e3x+18 O 54e3x+18 O 18e3¤+18 O 2e3x+18

A: Given that: y = e3x+18

Q: |z"e*dz =T(n+1) = n!

A: The gamma function is defined as ∫0∞tn-1e-tdt=τ(n)=n-1!           (1) the given integral is…

Q: Consider z=e (*3+y2) Evaluate dx2 O (6r2+ 3x)e (*3+y2) (9x4+6x)e (x³+y²) (6x4+ 9x) e (x³+y²)

A: Topic = Derivative

Q: [E (XY)P SE (X²) E (Y²)

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Q: Find y' of xlny =e" +y y(e'– lny) A y-x x(e' – Inx) B) X-y x(e'- Inx) y-x y(e²– lny) D x-y

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Q: dx S is equal to e3x O 1/3 e^(-3x) + c O -1/3 e^(3x) + c O -1/3 e^(-3x) + C O 1/3 e^(3x) + c

A: To find: ∫dx e3x

Q: Differentiate y = coth(1/r) csc h(1/x) coth(1/m) Option 4 Option 2 csc h²(1/x) None of these Option…

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Q: ædx + ydy = (x² + y³)dæ a² + y? = Ce?= a² + y} = Ce=2s Option 1 Option 2 1 In (a² + 3°) = C in (z* +…

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Q: Í (x)dx, iff(x) = Vx -k +1;k-15x <k, k = 1, 2,.n.

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Q: If x and y are two quantities, then y is directly proportionalto x if there is a nonzero number k…

A: The statement: If x and y are two quantities, then y is directly proportional to x if there is a…

Q: ral of the d D- 1)y is

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Q: dY ト、人ミXP ] dY = Sdx マ-) enlY.zl - ln l Y4z/ = 4(x+C) la1に イ-2 こ4×+4C Y-2 つカト入ト =てナ人 4V+4C. こe - Yt2…

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Q: 4 SS C) Jx dy

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Q: 19) If y- find the value of yl.3y. 3' A) 3. C) 1 B) 0 D) 3

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Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: ∫ 3e^(5t) dt

A: The given integral is ∫3e5tdt

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.