6. Given the joint probability density function f(x, y)=10xy, 0

Q: 1)What is the numerical result of n! a) (n – 3)! = n(n – 1)(n –- 2) %3D | " ()-() - (3) 25 %3D 6. 10…

A:

Q: Find the arc length of y = e* over [0, 1].

A: We have to find the arc length of y=e^x over[0,1]

Q: Q1. Solve the following first order equations: (c) ydr = (ye" – 2x)dy.

A: Given ydx = (yey-2x)dy

Q: surface is γ(x,y)=(x,y, √(4−x2−y2) with 0≤ x2+y2 ≤ 2. 2. The parameterization of the surface is…

A:

Q: Find the coefficient of x® in (1+ x² + x4 + x®)4.

A:

Q: Find the relative maximum / minimum values of the function x- 2 f(x) = x+2 State where the function…

A: Given that, the function is fx=x-2x+2. Differentiate the function fx=x-2x+2 with respect to x as…

Q: ansform Prove th

A: Introduction: If a function has a finite number of breaks and does not blow up to infinity anywhere,…

Q: Find the area bounded by the curve r2 = 4 sin 0 (1+ sin0)

A: The given problem is to find the area bounded by the given curve. Given curve r2=4sin(θ)(1+sin(θ).…

Q: 5. Find the value of k that makes the following function continuous. f(x) : ={2x - 1,if x2-1

A:

Q: 2.1.3. If a, b are integers such that a = b (mod p) for every positive prime p, prove that a = b.

A:

Q: . An investment account is worth $1000 on January 1, 2020. X months before the end of 2020, the…

A:

Q: f: (0, 2) → R defined by: -1 0<x <1 1<x< 2 (a) Sketch the Half-Range cosine series for f f(x) = { 1…

A: Given :        f : 0, 2→ℝ defined by       fx=-1,0≤x≤11,1≤x≤2 (a) To sketch the Half-Range cosine…

Q: Solve the following first order equations: (a) (x²y? + 1)dx + 2a²dy = 0, use the substitution ry =…

A:

Q: Determine the present value P you must invest to have the future value A at simple interest rate r…

A:

Q: B/ Find solution for the homogenous differential equation below: dy x²+y² dx 2xy

A:

Q: 2 (i) xe" dx -2 (ii) -2e" cos x dx (iii) x sin x dx

A:

Q: Suppose you are expanding (5x -2y). a) i) How many terms are there in the expansion? ii) State the…

A:

Q: Solve the system by using Cramer's Rule. S 2x -3y 5x +8y 18 %3D -110 %3D X = y =

A:

Q: B/ Find solution for the homogenous differential equation below: dy x² +y² dx 2хy

A: Given differential equation is dydx = x2+y22xy

Q: 1. Determine a root from the given equation below using Newton-Raphson method with the terminating…

A: The given problem is to find the approximate root of given equation using newton raphson method with…

Q: Aply Runge - kutla method appioximafely value ps of o, if dy d2=xty2, given 1; Where'x=6. to find am…

A:

Q: Use Stokes' theorem to evaluate ∮C z2 ex^2 dx +xy2 dy + tan−1 (y) dz where C is the circle x2 + y2 =…

A:

Q: male height? 2. What are all the differences from the mean? 3. What is the variance for the femal

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: The triple integral below gives the volume of a solid region in space, D. V = S (1-y dzdydx Rewrite…

A:

Q: O Show that the substitution r = e' reduces the equation ax?y" + bry/ + cy = g(x) to an equation…

A:

Q: 1. Find the area bounded between the graph of the function f (x) = -x + 2x + 1 and the horizontal…

A:

Q: G15. Is the sequence 2, 23, 3, 37, 7, 75, 5, 56, 6, 63, 3, 32, 2 a path? Here 2 stands for vertex 2…

A: Please note that, as you asked (G.15) answer so I answered only part (G.15)

Q: 1. TRAFFIC FLOW a. Determine the values of x1 , X2 , X3 , X4 , X5 for the following traffic flow…

A: (a) From the given traffic flow diagram we will write the inflow and outflow at each node as…

Q: Solve the following first order equations: (c) ydr = (ye" – 2x)dy. %3D

A:

Q: Q2) Find the least -5quaras line y=fca) = Ax +B for the following data 2 2. -1 2. 3.

A:

Q: State which property of determinants is illustrated in this equation. 8 -7 16 6. 16 6. 2 - 8 -7 7 4…

A: Here, you can see that first and second row is interchanged.

Q: Suppose a = (5, 3, -4) and i = (3, –5, -2). Then: 1. The projection of i along i is 2. The…

A:

Q: . In an art class, the students are asked to create a 2D artwork using only the crayons they are…

A: We have to take out 4 from 24. So we will apply combination.

Q: (a) If b – 4ac = 0 and y1 = em solves ay" + by' + cy = 0, use reduction of order to get a linearly…

A:

Q: 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

A:

Q: QUESTION 1 The Utica Boilermaker is 9.3 miles long. Suppose Kelly runs the Boilermaker in 0.8 hours.…

A:

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A O (A)° = A – int A…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Calculate the arc length of y = x² - In(x) over the interval [1, 10e]. %3D (Use decimal notation.…

A:

Q: The graph of a rational function is shown below. Write the equation that represents this function.

A: From the given graph, x- intercept: x1, y1=-1, 0 y- intercept: x2, y2=0, -2 Vertical Asymptote:…

Q: Apri al) Consider the following differential equation, with time domain t e (0, 1): Sy = (t² – 1)y,…

A: Given the differential equation dydt=t2-1y,     with  y0=1 By using Heun's method given that…

Q: (2) A study indicates that spending money on pollution control is effective up to a point but…

A:

Q: Proof of CRT (for two moduli) We must proue that f: Zm,ma - Zmx Zm gimern by is a bijection. Proof O…

A:

Q: Out47)= G14. For the graph above, list three different paths from vertex 2 to vertex 7. G15. Is the…

A: Given graph  We first know that, A connected graph is graph that is connected in the sense of a…

Q: 2. Consider the following matrices : 1 2 -1 3 1 and B = 3 2 A = 4 2 -1 -2 5 (a) Find At. (b) Use the…

A:

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A: To use the compound interest formula to compute the total amount accumulated and the interest…

Q: Write the expression below in the form (a+ b) 1296x2 - 4320x°y + 5400xy 3000x'y + 625y

A:

Q: Given that f(x) = 2x + 5 g(x) = 2x – 6 / x and h(x) = x2 – 5 find; hᴏf(x)=

A:

Q: 1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E ={x=R* : AT =…

A:

Q: Find the absolute maximum / minimum

A: Given,            f(x)=x(6-x) over the interval 1, 5

Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation xsubscript0 =2

A: Given a number 713 and initial approximation is x0=2