I. Give the value of x and y. 1. 4.

Q: Find the value of X and y

A:

Q: 1. Rebecca drinks a cup of coffee every morning at 5:00 am. The amount of caffeine (in mg) in her…

A:

Q: If the graph of the equation is an ellipse, find the coordinates of the vertices on the minor axis.…

A: Given equation is x2 - 4xy + 4y2 -25 x +95 y -25=0

Q: Given the function y₁ = x² is a solution to the differential equation x²y" - 3xy' + 4y = 0, find a…

A:

Q: Use Laplace transform to solve the given initial value problem: y"-4y' +4y=0; y(0) = 1, y'(0)=1

A: y''-4y'+4y=0y0=1y'0=1

Q: 3. Evaluate: 4 E 2k-1 k=1

A: Summation sign adds all the values from k=1 to k=4 .

Q: Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo…

A:

Q: QUESTION 14 Suppose the random variables X and Y have a joint pdf as follows: f(x,y) = (3/8)(x +…

A: Answer:14 -  Given joint pdf of x and y is                       f(x, y) = 38x + y2,    for 0≤x≤2…

Q: 2 (4D-45D - 70D-24)y = 0

A:

Q: -)Test for Convergence:7n¹⁹ +797n³ −104n² 8n22 n=1

A: ∑n=1∞7n19+797n8-104n28n22

Q: c an sin d an = n (1 +(-1)")

A: As given by the question There are given that the sequences: an=sinnπ4 Now, From the properties of…

Q: 8²y 0²= 250²2; 0 0 ду at² Using the www wwwww decomposition method, solve the equation for the…

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Q: 5) [xe*dx (Use Integration by Parts) 6) If [g(x)dx = (8x“ + 2)* +C, find g(x).

A: We will use integral by parts to solve the first given question and differentiation to solve the…

Q: 17. 18 45° Vi0 X = y =- 回 0 へ

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Q: Show that A° = A°-0- and A-o = A- %3D

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Q: Find the points of intersection of the graphs of the equations. r= and r=1.8 1.8 Select one: O a.…

A: Given that,                   r = theta/1.8 ....(1) and r =1.8 .....(2)

Q: Reduce the following A expression to normal form. Show each reduction step. If already in normal…

A: Consider the given expression:

Q: HW.1 X y 58 Find y. (10) for the following data in the below table. 6 9 14 17 10

A: We will use Lagrange's Interpolating polynomial to find y10.

Q: To show that the set of all finite strings over the alphabet {0,1,2,3} is countable, you would…

A: The bijection f : 0,1,2,3×→ℕ, lists the strings in string order 0 < 1 < 2 < 3.…

Q: As =→ 3-4 4 Helo M instoirto

A: To find the coordinates

Q: 2. Evaluate: 4 3 Σ -5) X = 2

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Q: Test the pair of events C and D for independence based on the following table. A B 0.14 0.04 0.06…

A: The independence of the pair of events C and D is tested below.

Q: Given: f(t) = -2/3/2 + 4e 31. 3r Evaluate: F(2) Use 2 decimal places.

A: Given:     ft=-2t3/2+4e3t Apply Laplace transform on both sides    Lft=L-2t3/2+4e3t Apply linear…

Q: Differentiate. In x y = 5

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Q: y 38 60° X = ソ=

A: Geometry Question

Q: use laplace transgorm to solve f(t) = 3t^(5/2) + 4t^3

A:

Q: 1. If X-N(3, 5), Y-N(4, 2), and X and Y are independent, then Var (2X +3Y) = a. 38. b. 19. c. 5. d.…

A: Given X and Y are independent normal variates, so Cov(X,Y)=0 We know,…

Q: Find the points of intersection of the graphs of the equations. Ө r= and r= 1.8 1.8 Select one: O a.…

A: The correct option is (d). (1 . 8 , 3.24).Explanation:Step 1:To find the point of intersection…