Let X be a r.v. with p.d. f. ,x = 1,2,3, ... f(x): e.w. The value of a is: N I3

Q: Given U(x; y) = In(1+ xy³), show that 2! dxðy

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Q: If X = x „then W(x1(t), x,(t)) = 10 Select one: O a. ce- а. O b. ct C. c t? d. ce'

A: We will use basic knowledge of Wronskian for a II order linear homogeneous ODE. WE convert the above…

Q: Evaluate / F. dr.

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Q: Let f(x, y) = mxy², where m is a constant. Find a value of m such that ff f(x, y) dA = 9, where R =…

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Q: Let X is p.d.f,f (x) = k(2 - x) 0 <x < 2, then the constant k = ..... A) 1 B) C)를 D) 2

A: We have given that,  X be the random variable having probability density function f(x) = k(2 - x),…

Q: A small town is built around a circular pond that has a radius of 1km. The population density of the…

A: Given that: Radius of pond, r=1 kmPopulation density=f(r) per sq. kmr =distance from centre of pond.

Q: Assume that d and e are constants and, 3 - f, if f <1 ) = { df²+ef. { z(f) = if f < 1

A: I am going to solve the given problem by using soem simple calculus to get the required result.

Q: et z = r²y – ry², I = e *,y= e*, then which of the following is O a. 2et + 2e 2t O b. 0 OG -2e4 – 2e…

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Q: then E(y) and V(y) are

A: here given , y =  5x-1  E(x) = 2,  v(x) = 1

Q: Find a value of c so that P(Z ≤ c) = 0.74.

A: Find a value of c so that P(Z ≤ c) = 0.74.

Q: When using the Lagrange interpolation formula. Which of the following items must be met

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Q: 1 - Be X and Y variables independent with o ²X variations and o2²Y, respectively. Being Z=X+ Yand…

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Q: Find a value of c so that P(Z ≤ c) = 0.65.

A: According to the given information in this question We need to find the value of c such that P(Z ≤…

Q: 1 d. p(0) [Note that p(0) : к (0)

A: It is given that rt=sint, t, cost. Recall the formula for the curvature, κt=r't×r''tr't3. Obtain the…

Q: Given a p.m.f. of x as below: (e-33x f(x) x = 0, 1, 2, ... = x! 0 O. W and y = 2x, then the p.m.f.…

A: In question, We have given the pmf of random variable X and Y = 2X then we'll find the pmf of Y. The…

Q: ! Given a p.d.f. of a c.r.v. x as follow: f(x) = {3x² 0<x< 1 " 0. W y = 3x, then the p.d.f. of a…

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Q: Let Z - N(0, 1). Find P(Z < 2). Question Help: D Post to forum

A: Given that, Z~N(0,1)

Q: If X=t X ,then W(x,(t), x(t)) = 1 0 Select one: a. Cet

A: Given that : X'=1tt10 The determinant is : X'=1t0-t.1=-t The Wronskian is given by ,…

Q: Let ā = (1, 5) and 6 = (3,0). Find —ã – b. - - V Λ

A: Answer: &lt;-4,-5&gt;Explanation:For any query with the solution please ask in the comment box.

Q: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: Let f(x, y) = x(y - 3) and F = Vf. If r = with 0 ≤ t ≤ 2, then [F. dr is equal to: a. -7 b. -11 c.…

A: We find the line integral in the following way

Q: If b is dviisible by a (a|b) and b in different than 0 then |a| is less or equal than |b|

A: The given statement means the following.

Q: D a. 0.4 O b. 0.1

A: The mean given is 0 and standard deviation is 1. The probability given is, Px≤k=0.8. which means it…

Q: 10 20 30 40 P(X = x) 3 2 1 10 5 10 1. ANSWER ! 9.43

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Q: If f(x, y, z) = xy + z?x - 3yx z?, find fxy ?

A: If fx,y,z=xy+z2x-3yx2z2 Find fxy ?

Q: If |z-8 <, and ly-히 < , then a - y < 1. 2'

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Q: Tpy and B= -1 x² + x² + y² + 1 A<B

A: We have,  and,

Q: The number of units in z,,[x] is None 30 28 22

A: See solution below

Q: ind a value of c so that P(Z ≤ c) = 0.47.

A: given data standard normal distributionZ~N(0,1)P(z≤c) = 0.47c = ?

Q: 18. Given 7(t)= , Find:

A: Given: r→(t)=&lt;sin t, t, cos t&gt; We have to find V→(0): To get V→(t) : Differentiate r→(t) with…

Q: None

A: Step 1:Step 2:Step 3:Step 4:Step 5: Else anywhere, no common area hence A=0 Step 6:

Q: Find a value of c so that P(Z ≤ c) = 0.54.

A: Know that    X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: The variahle x takes only two values x, and x, with frequencies f, and f. If s be the S.D. of x,…

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Q: Let f(x.y) = In ( x? +y). If f,(2,a)=f,(- 1, 2), what is the value of a? O a. -2 O b. 8 O. 3 O d. 6…

A: First, let us calculate the partial derivative of the given function with respect to x and y as…

Q: 5. Given f(z) = (r – 2) and g(x) = VI+2, evaluate both (fog)(2) and (go f)(2).

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.