Q3- Find the numerical value of §. xdz, if c = c, + c2 + C3.defined in the given figure. (2,2) C2 (1,1) C1 (2,1)

Q: Let T: RP → R be defined by T() = Aã where -2 3 11 A = 1 -2 1 -1 -3 4 and let 6 %3D What is the…

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Q: HW 2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 <Z< 2) c) p(-2 <Z < 1)

A: If Z~ N(0,1)   which means clearly it is standardized normal distribution table.

Q: HW_2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

A: Solution

Q: Which of the following properties satisfy the equation * 9x2 + 16y² + 72x- 96y + 144 = 0 %3D C(4,3);…

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Q: x1, x2, x3...... x20000 iid U(2, 9), find approximation for 2X-20

A: Central Limit Theorem : If X1, X2 ..... Xn are iid random variable with mean μ and Variance σ2 then,…

Q: Q3/B/ Let X and Y are two r.v's with joint p.d.f 2x+y 2 2) =-------------------

A: It is given that X and Y are two random variables with joint PDF fx, y=2x+y210, 2&lt;x&lt;6 ;…

Q: Q.6 Show that: X-1 X+ y – 1(x-1y)= B(x,y)

A: In the given problem we have to show that                                 x-1x+y-1β(x-1,y)=β(x,y)

Q: If r(t) = (e³t, e-4t, t), find r'(0), T(0), r"(0), and r'(0) x r"(0). r'(0) = II T(0) = r"(0) =…

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Q: iid Let X1,, Xn N(u, o). Find 2(n 3) (X2+ + X(n-2)) + 16 X(n-1) +Xn if,E(i) 16 17(n-2) 16(n-3) 4…

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Q: a2f a?f a?f Find and ax2" ay²' əxəy' 1. дудх f(x, y) = e3x + 2y ax? a2f ay? дхду дудх Evaluate them…

A: We have to check

Q: Q5: For which values of z is w =1/(z – i), defined? For these values obtain and v and evaluate w…

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Q: Determine if the nontsivial Soluton ystem has a X,-3>c + 7)C3=O -2x,+ Xz -4x3=0 923=0 Xi + 2x2 +

A: To determine if the system has a non trivial solution.

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = x - √(y2 + z2)

A: Given function is, f(x,y,z)=x-y2+z2

Q: B = {1 + x+ x', x+x?, x). %3D for P2. Let P(x) = 2 + 3x + 2x. Then [P(x)]s = %3D None

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Q: 3 - If h(x, y) = y - xy – x2, find at the point (2, n) ду а) - 2.5 b) 7 c) -2 d) -1 e) 0 f) 1 g)…

A: Given that h(x,y)=y-xy-x^2

Q: Q3// Let x be a r.v having p.m.f X -2 -1 5 P(X) 20 3C 20 C 4C 1) Find the value of C? 2) Find C. d.…

A: The pmf is given as X -2 -1 0 2 3 5 P(X) C 2C 3C 2C C 4C 1. It is known fact that,  ∑ P(X)…

Q: b) For what values of p and q will pr + q, f(1) = 3 pr + r+ 2q, ¤> -1, - { I<-1 be differentiable…

A: Given- fx=px+q,              x≤-1px3+x+2q       x&gt;-1 To find- The value of p and q for which the…

Q: A third student keeps buying chocolate bars until he finds 5 prize vouchers. Let W be the numbers of…

A: The Expected number of prizes is 5 Let W be the number of bars bought before getting the 5 prizes So…

Q: Suppose a car’s value depreciates according to the model V(t)=24(4/5)t Find the exact value of r…

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Q: 6e-2x-3y for x > 0 and y > 0 ] fx,x (x, y) = { otherwise. a. Are X and Y independent? Justify your…

A: X and Y are jointly continuous random variables with joint density function, fX,Y(x,y) =…

Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

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Q: Q2B: Let G = i - j+ 2k and H = 3i – 4j + k . find 2G. (H) %3D

A: In this question, we need to find the dot product the given vectors.

Q: Ir If z = f(x- y), then of df дх ду 1 -1 12 O 5

A: → Use chain rule of differentiation.             ∂(f(g(x)))∂x=∂(f(g(x)))∂(f(x))×∂(f(x))∂x→While…

Q: W is between X and Y on XY. WX = x + 10, WY = x-6, and XY = 10. Which of the following equations…

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Q: If ā = 2ī +j -k, 5= -i +2j- 4K, č = T +J+k then find |(āxb).(5xē). %3D

A: This is the problem of vector calculus.

Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…

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Q: 2 Find z ax? 2 and ду?. ay ax 1. Z z = 3x y³ 4x* y?

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

Q: Q: Let z = -4 V3 – 4 i %3D A/ Find the following : 1) Iz| 2) arg (z)

A: Since you have posted multiple questions but according guidelines, we will solve first question for…

Q: Мaximize z —D 5ӕ + 5у 2х + 5y 40 бх + 4y < 54 Subject to Маximum is x = A VI VI AL AI

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Q: B 2 Show that can be written in the form A + C where A, Band Care T (x - 2)(x + 3) X-2 +3' constants…

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Q: x² 2. =25 ty-3)"=25-x² 3= J25-X 3525-x %3D Simpliy+ this s , like Idid herel

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Q: Let z = r'y-y³, where r 3s- 4t and y = 2s+5t. Use the Chain Rule to find that your final answer is…

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Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*…

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Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. Use Chain Rule to find of and of (Write your answers in…

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Q: Fourth question: r = 7| , = xi + 4yj- 2zk Let it be V(6r), v²(7r) find all of

A: According to question,r = r→,andr→ = xi + 4yj- 2zk

Q: The interval in wh (4-t2)y' +2ty 3 Select one: O a. (-2,2) b. (0,1) C. (0,2) d. NOTA

A: Given        4-t2y'+2ty=3t2;     y(1)=5

Q: Find the linearization at x = a. y=(14 + x) 12, a = 1 (Use symbolic notation and fractions where…

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Q: Consider R² with || . ||2. Let M = {(x₁, x₂) = R² : x₁ = x₂} and x = (1, − 1). Find d(x, M).

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Q: - find x, y z Select one: а. X-3,у-2,z-1 b. x=3,y=-2,z=1 С. X-3,y-2,z-1 d. x=3,y=2,z=-1

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Q: C (7,1) and r = (x - h)2 + (y – k)2 = r2 O 0 = 1 + A+ X(q+ zA + zX

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Q: 11 f(x,y) 3x-7y+2, R is the rectangle with opposite car- ners (-1,0) and (1,3).

A: 12. Given: fx,y=2x+2y+2 and triangle with corner 0,0 To find the area of the triangle. The formula…

Q: Let *- y= ÿ.z=0 and x ỹxz= V3 where x,y,ZER'. Which of the followin. 2 can be the value of X Z? V3…

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Q: df Let f(D,Q) = 3 DQ. Find %3D

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Q: Find C(n, x)pxq"- Xfor the given values of n, x, and p. (Round your answer to four decimal places.)…

A: Let x follows binomial distribution with parameters n = 8 and p = 1/3   The pdf of binomial…

Q: The values of C₂ and C₂ so that y(x) = C₁x + ₂( satisfies 3x the two conditions y(1) = 1 and y'(1) =…

A: Given equation is y(x) = C1x + C2-13x2

Q: Q5: If f(x,y) = 6x , g(x, y) = x-3y find Vf,Vg,V(fg) %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: k 3/2 Which information proves that r || s? F 1= 43 H 24 = 26 G Z4 45 J Z5 = 26

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Q: 3. BCLet z(t) z(f) be the solution of z" + a(t)z' + b(t)z = 0, z"+a(t)z'+b(t)z= 0, where a(t) a(t)…

A: Given,                   z''+a(t)z'+b(t)z=0          ...(1)Where a(t) and b(t) are continuous…

Q: of (d) If x = ;(s2 + 12) and y = s - 12, then at the point (s, t) = (1, 1), д is equal to 0 х.

A: Given : fx , y=x2y+sin(xy)+1   x=12s2+t2      ,   y=s-t2 To find : ∂f∂t at 1 , 1

Q: Q1. If Z - then z-1 %3D a. z1=+ b. z-1 =- +i c. does not exist d. z-1 = 1 – 2i

A: A complex number is defines as z=a+ib where a and b belongs to the set of real numbers. Now, find…

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.