An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the resulting region is actually a random variable R with the following pdf. 1- (10-)²] 9 ≤r≤ 11 0 otherwise 3 [₁ f(r) = 4 What is the expected area of the resulting circular region? (Round your answer to two decimal places.) m²

Q: Determine if the function f: R → R defined as f(x) = -{7 x² is analytical og if yes, find its Taylor…

A:

Q: 21. Which of the following statements is(are) true? (A) y = e³ is a solution of the DE y"+y' - 12y =…

A:

Q: Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2.…

A: Solution : y=f(x) 1. Lagrange's Interpolation formula is,…

Q: Use phase space techniques to discuss the stability of the steady states for molte! (a) =aN + 3N² +…

A:

Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = . 3 dt = 8. e2t

A:

Q: (A) 0 B 18 Ⓒ-1 D 1 Let A be a 9 x 9 matrix satisfying A = -AT. What is the value of a₁1 + a22 + a33…

A:

Q: ch. answer in 20 mins

A: We have given that,  Mean  = 115 °C and standard deviation = 6 °C Then,  We will find the mean and…

Q: Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the…

A: Given,A curvilinear relationship between i and V in the form of data.We need to fit a curve to the…

Q: (b) Test if the points A = (5, 2), B = (-3, 3) lie inside, outside or on the circle (x-1)2+(y-5)² =…

A:

Q: (c) Using matrices, find the images of the points (1,7), (-4,5) and (8,2) under a translation of +6…

A: Write the matrix as x and y coordinate. Then proceed  xy = 1-48752

Q: Gs: Let B = Rrind 2 013 O 2 1 4 -2 -10 I (1) (2) Conclude the nedused vow echelon form for B.

A: The solution to the problem is given in the next steps.

Q: A 2 x 2 matrix A, satisfying aij = i + j, is a symmetric matrix.

A: We will check if the statement below is true or not :

Q: 6 -2 Use Gauss-Jordan Method to find the inverse of -4 1 1 1.

A:

Q: 8 -4 -2 1 the c baractter

A:

Q: Determine if the function g: RR defined as is analytical og if yes, find its Taylor series. g(x) =…

A:

Q: Question 6 Let M22 (R) be the vector space of all 2x2 matrices, and let X be a subspace of M22 (R)…

A:

Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2+s+6)(s²+5)

A: To solve given question first we write the partial fraction decomposition of given function and then…

Q: 2. A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for…

A: The random variable reducing pain follows normal distribution. There are 8 subjects are sampled.…

Q: 1 ' Identify the surfaces of the following equations by converting them into equations in the…

A: The Cartesian co-ordinate and cylindrical coordinates are related as…

Q: Given the function determine the Fourier Series of f (x) = 2, 0 < x < T,cosine series with period…

A:

Q: 13. (a) Find the 3rd-degree Taylor polynomial for the function f(x) = In x centered at a = 1. (b)…

A: The derivative of lnx with respect to x is 1x. The power rule of differentiation states that d…

Q: In this exercise you will prove Theorem 5.3. So consider triangle AABC. Let PE Int (ZABC) and Q &…

A: Here we have given the triangle △ABC such that P∈Int∠ABC and Q∈Int∠ACB. We need to prove that…

Q: 3z+1 Evaluate: S xp- 6z² -14x-12 ○ 륵m6z-21 + 흉mz + 6| +C O 음l미2z-6|+ n3z + 2| + C ○ f미3z-4|-3n 2z +…

A:

Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

A: