2. Evaluate [ (42y - 12x ixdy S = (x, y) | 0 < x < 4, (x - 2) < y < 6}. %3D

Q: 6x2+7y2=C satisfies 6x+7yy' given the inital condition y=4 when x=6 what is C.

A:

Q: Minimize c = 2r + s > 30 Subject To: 20 3s 2 30 And Where: {r > 0, s > 0} + + + ||

A: Given that, The objective function, Minimize c = 2r + s. Subject to the constraints, We solve the…

Q: 3. f(x, y) = (3x - 5y)2 + e4x In(4y – 9) + %3D 135 x4

A: We know, ddxxn=nx(n-1)  , for any real number n. ddxln(x)=1x

Q: Classily extrema, mey exisi, 1 h(x) D = (-3,0) || (x + 3)2

A:

Q: 1 Find the points of discontinuity of y =2 where и +и - 2 1 = n x - 1

A:

Q: Non homo : 5) y"'+ ay'+ ay = x²

A: (5) Given differential equation  y''+2y'+2y=x2. We have o find the general solution of the given…

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: (11) Evaluate [[3x+5y+i(x²-y') dz along y=x (0,0)

A:

Q: Find L(y). y + 2x = 2 y – a' = et y (0) = x (0) = 0 O L (y) (s+1)(s²+1) -2 L (y) 8(s²+2) O L (y) 1 L…

A:

Q: Consider the following problem; max(x? + 2y) s. to 5- x2-y² >0 and y 2 0

A: Consider the given function. fx,y=x2+2y and x2+y2≤5. Use the Lagrange Multipliers to calculate the…

Q: 2. . Evaluate || 3y dS where S is the portion of y + x2 = 4 between x = 3 and x = 3 – z.

A: Given To evaluate ∫∫S3y.dS where S is the portion of y2+x2=4 between x=3 and x=3-z.

Q: 4. f(x, y) = 10x²y* – 6xy2 + 10x2; fx(x, y), fy(x, y) %3D -

A: Consider the given function as fx,y=10x2y4-6xy2+10x2

Q: If it is known that L {y'' (t)} = -15s+24 with y(0) = -3 and y'(0) = 6, then it can be ensured that:

A: The given problem is to find the Laplace of y(t) from given info, given Laplace of y"(t) =-15s+24…

Q: 3+2s 17. F(s) %3D (s+4)(s²–3)

A:

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: 18. X ve Y bağımsız r.d. ler olsunlar. E(X)=3, E(X²)=25, E(Y)=10, E(Y² )=164 ise Var(3X-Y- 8)=? a.…

A:

Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: 2. y(x4-y²)dx + x(x++y²)dy = 0

A:

Q: #32 Find y' if Yu X-T + X.J9+ =XY

A:

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: 2 Find the general antiderivative of f(x) = 5x* + 4 + C

A:

Q: 3.Evaluate ex dx, by Simpson's ½ rule. n=6` 1 = (b − a) ƒ (xo) + 4f (x₂) + 6 f(x₂)

A: We have to solve by Composite Trapezoidal Method.

Q: If z 6.57 (rounded to 2 decimal places) and y = 6.017 (rounded to %3D (a) the upper bound of x + y…

A: x= 6.57(rounded to two decimal places)  and y=6.017(rounded to 3 decimal places)

Q: 3- Suppose that s(x)dx 5. Find A- B- S V3 f(2)dz D-

A: Definite Integral of function f(x) in the interval of [1, 2] is 5. The function remains the same for…

Q: Find positive numbers x and y satisfying the equation xy=24 such that the sum 4x+y is as small as…

A:

Q: S (x+Sy+wz ) dzoly dz 2 3x X-つ

A:

Q: 2 O Finel F.S For Fex) = 2くxくだ 7. %3D 2. -2 37 2 2.

A: By Bartleby policy I have to solve first question, as these are all unrelated problems. These are…

Q: (4) (b) 10tsin(5t²- n/4)dt (4) (c) S 12(x³ + 2)ex¹+8x dx

A: We have to evaluate the integrals.

Q: 4". Sy' 8y Sx'e* y10)=8, y'l0).S X-

A:

Q: oo gi ven Y1) =0 , when x=1 > Y=0 In (ito) So 4 Then Putting C= -Ź in li) Inlity?) = Inci+y?) 4 In (…

A:

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

A:

Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: 22) Find all critical points? f(x,y)=4xy+x4+y4

A:

Q: 2. f(x,y) = x5 In(y)

A: Given function is fx,y=x5lny. To find the first and second order partial derivative of the given…

Q: 2. Suppose S," f(x) dx = 8 and S fx) dx = 5. Evaluate the following %3D (a) -3. f(x) dx (b) -2 f(x)…

A: a)-3*(8)=-24. b) -2 ((integration from 4 to 1)+(integration from 1 to 6) -2(-8+5)=6.

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: Consider the following problem; max(x? + 2y) s. to 5-x2-y 20 and y20

A: Given: The given "kuhn-Tucker" condition and  given equation is  maximum (x2+2y)  subject to…

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: Consider the following problem; max(x? + 2y) s. to 5-x² - y >0 and y >0

A: Extreme Value Theorem- If f(x,y) is continuous in some closed and bounded set D in ℝ2, then there is…

Q: x2 1 dr dy = a° In(1+ x² + y? 3

A:

Q: 2. If y=x³e²x find y(n) and hence y(3). (v)

A: I am attaching image so that you understand each and every step.

Q: Find positive numbers x and y satisfying the equation xy = 16 such that the sum 2x+ y is as small as…

A:

Q: 2/3 If y = xl/3 + 2 dy then |z */0 =-8 dr

A:

Q: If 3x+ 2xy + y -2. then y at x = 1 is O a. 0 O b. 2 O c. 2 O d. Not defined

A: Given : 3x2+2xy+y2 = 2

Q: 3) Find the deri vative of cscC (x) (xf3)' X4

A:

Q: Maximize p = 5x + 7y + 4z subject to x+y+z≤150 x+y+z≥100 x≥0, y≥0, z≥0. p=? (x, y,…

A: According to the given information, it is required to solve the maximize the given problem:

Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find %3D H.

A: Given: a random variable X follows normal distribution. Mathematically, X~N(μ,4) The expected value…

Q: Consider the following problem; max(x? + 2y) s. to 5-x2- y² 20 and y 2 0

A:

Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

A: The given minimize problem is C=s+2t subject to constraints, 4s+t≥2702s+t≥190s+3t≥330s≥0, t≥0   Then…

Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

A:

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.