Suppose D(1,3) F(p) = 4 and D{-2,–1) F (p) = 3. What is D(0,10) F(p)?

Q: - (m'n') m²n_> 14. (2xy)²(-3x²)(4) 15. (2ryz?)°(x²z}*, 21 im2, n (m35 m2).(nein (2)(x3(35 (2 243…

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Q: An automobile service facility specializing in engine tune-ups knows that 50% of all tune-ups are…

A: Given: 50% of all tune-ups are done on four-cylinder automobiles. 20% on six-cylinder automobiles…

Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

A: The given system of equation is: - 6x + 4y + 7z = 3 28x + 4y  + kz = -10 - 5x - 8y - 4z = -2

Q: In Problems 99–106, analyze each polynomial function f

A: f(x)=x3+0.2x2-1.5876x-0.31752

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: -3 2. Evaluate: V12-피 + z dar 0,

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Q: Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as

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Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: Evaluate S S"(2y² + x)dædy

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Q: 2 3 Compute fyz, if fx, y,2) = x² -x³y² -z'. %3D xyz» OA7 B. 5 OC.0 D. No one correct. O E. 6

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Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

A: Given,X1 ~U(0,2)X2 ~U(0,X1)E(X1)=2+02=1E(X2)=X1+02=X12

Q: 1 Evaluate [ (x² + --- e2x +c 2 a) + In x+ b) 3 +C 3 e2x .3 c) + In x- d) + In x - 3 +c +c 2 2

A: We know  (1) integration of Xn dx =  Xn+1 / (n+1)  + C  (2) integration of emx dx = emx / m + C  (3)…

Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

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Q: 6. Find f'(1) if Ax) = nx

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Q: 12.8 Find f(t) if (4s +7s + 1) F(s) s(s + 1)

A: solution

Q: 3 In ADU DDL =9mm. Z/=6mmand //=N". Find FD. 3

A: By using the cosine rule we can can find the third side of triangle if we have given the two sides…

Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

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Q: 12 y' (12x +5) (4y* +3)° b. If y* +3y-4x' = 5x+1, then prove that y"(4y +3) = 24.x--

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Q: س 1: أختر الاجاية الصحيحة لمجال ومدى الدالة 4 - f(x( = x2 ثم اختر الرسم البياني الصحيح؟ Dr = R & Rf…

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

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Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: 2 (4)F(s)= %3D s² (s +4)

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: If A= and D = A+B and d2--1.d, 2 then 1. x=-1.y = -1 2. x=-1.y = 1 3. x=-2 y =1 4. x-2. y --1

A: We have to find the required values of x and y .

Q: (8) If w = 5x² + 2y², x= -3s+t, and y = s – 4t. Find and Əw as

A: The objective is to find the partial derivatives .

Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

Q: B (m,n) =. x"-1 (1-x)n-1dx صوابه

A: TRUE

Q: Suppose O1 is twice as likely as O4, O1 is equally as likely as O2, O5 is 5 times as likely as O2,…

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Q: If E(X) = -2 and V(X) = 6 (i) E (5X – 2) = 5 E(X) – E(2) = (5 x (-2)) – 2 = -12 (ii) V (5X – 2) = 52…

A: As we know that Var(X)= E(X^2)-[E(X)]^2 This implies E(X^2)= Var(X)+[E(X)]^2

Q: then a 2 d det b 2 e с 2 f 5 d a det b 7 e C 9 f C = = and a 1 d a 1 d] ----- det b 1 e = -5, and…

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Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

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Q: Gives a farme of v2 to within 10-3 Gives a farme of v5 to within 10-2

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Q: LetS 2 x;-x)2 be a biased estimator foro, then the bias= ni= 1 Select one: a. -D1 b. in d. 1 1/n

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Q: In(2 + x – 2y2 – 3z), 7 =, then If f(x, y, z) Duf (2,-1, 1) = - A) 11

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Q: Suppose X~N(112,16), and Z~N(0,1). Then x = 112, is equivalent to z = ______.

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Q: If (ar + bx) = 4n and n+1 k-1 (ak-br) = then ar = n+2 k=1 k-1

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Q: a. 2,526sinx + 2,526cosx Yp 29 b. yp 89 3 M 7,930sinx + 7,753cosx 91 3 = c. Yp 3,290sinx +7,753 cosx…

A: We will find the particular integral.

Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

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Q: 2.Find the aver ase value Of the functlon f(x)=x-6over [l,3]

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Q: dz 12. Evaluate 9z² – 25 A. In(32 + V9z* – 25 c. In(3z-V9z* – 25) + C В. In( 3z + /9z² – 25 ) + C D.…

A: To find: ∫dz9z2-25

Q: af ду 5z + 14y If f(1, y) = is : then 5z — 14у 140z (5z – 14y)? 140z (5z + 14y)2 140z (5x + 14y)2…

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Q: c) Let 8₁ X₁+2X₂+2X-X and 8₂=(X₁ + X₂ + X3 + X₁) be two unbiased estimators of 6. Which one of the…

A: Given X~Pois(θ) Mean=variance=θ  X1,X2,..Xn be the independent V(X1+X2+..+Xn)=V(X1)+V(X2)+..+V(Xn)…

Q: Suppose thát the captain of a ship that is in distress must send a

A: sollution is given below:

Q: み Vcet-4+(4 c) dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

A:

Q: x | X> 3) =? and E [X | X> 3] =?

A: X ∼ exp (λ)  having pdf  f(x)=λe-λx      x&lt;0

Q: Ivy is not sure whether a particular c the coin is not fair if she observes 4 4.24 and alternative…

A: Ans:

Q: Suppose that X ~ Unif(-1,1). Compute (d) P(X = 0.5), (e) P(X² > 0.5).

A: Let ,  The pdf of X is ,  = 0 ; otherwise Our aim is to find the following :  d) P(X=0.5) e)…

Q: EVALUATE S(3sin t - 2cos t) dt

A: Topic = Integration

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.