15. What is the coefficient of the term w³x¹yz in the polynomial (w+x+y+z) ⁹?

Q: Solve the matrix equation AX = B for X. A = X = 15 -25 B= 30 15

A: The inverse of a 2×2 is given by the equation; A=abcdA-1=1ad-bcd-b-ca

Q: 7. Suppose that C is the positively oriented square with vertices (-1, 1), (1, 1), (1, 1), and (-).…

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Q: equation of curve y²-x²+48 +6=0 Let, the equation of Tongent to the curve be y = mx + 1 m where, m =…

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Q: Find x correct to three decimal places where: alog10(x)=b  where a = 6.8 and b = 12.3

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Q: Find the least upper bound of (3, 5), if it exists. (You must provide an answer before moving to the…

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Q: 3. A region in the first octant is bounded by the cylinder x² + z² = 4 and the plane y = 3. Set up…

A: ∫∫∫dxdydz=∫02∫03∫04-z2dxdydz=∫02∫034-z2dydz=∫02y034-z2dz=3∫024-z2dz=32z4-z2+4sin-1z202…

Q: Let us define the following functions (a) (b) (c) f(x, y) = x² + 2y² y² 9 g(x, y) = x² + (*) Find…

A: Level Set: A level set of a function f of two variables x and y is defined as a set of points such…

Q: Let 2 2 0 2 1 -1 5 Solve the linear system Aỡ = b using Cramer's rule. A - and b 1 8

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Q: A company claims that its new viral vaccine is 90% effective in preventing a contagious viral…

A: Solution:

Q: Raj purchases a new home for $130,000. The value of the home increases by 5% every 3 years.…

A: The exponential growth is represented using the equation: f(t)=a1+rt, where a is the initial value,…

Q: Given the graph of the function f(x) below with 4 subintervals, write down expressions in terms of ƒ…

A: Given the graph of f(x) with 4 sub-intervals. Let ∆x be the length of each interval. We observe the…

Q: Exercise 6.3.4. Find all solutions modulo 10 to x² + 3x = 0 (mod 10). There are two distinct…

A: We employ the chinese remainder theorem to find the four solutions. Details typeset in latex in step…

Q: 1. Verify the following beta function identity 3(m, n) = 3(m+ 1, n) + 3(m, n+1) . Show that: 1. 2.…

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Q: An aircraft deigned for supersonic flight utilises a delta wing, as shown. Using the values given in…

A: Given: From data table , value of figure variable ∠B=79.3°, a=37.53m

Q: Identify the correct steps involved in showing that lexicographic order is transitive. (Check all…

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Q: Solve 1-x +1 2-x 2 without the use of a graphing calculator. Show all work. x + 6

A: we find all value of x

Q: If a meteorologist wanted to use the highest speed to predict the times it would take storms to…

A: Answer)  Giventhat: From part-1, upper limit of 98% average speed  of thunderstorm is 19.41.

Q: The size of product BA is?

A:

Q: Show that: f(x) = x² + x + 2 € Z₂[x] is irreducible. Further, find the order of f(x).

A: Irreducible polynomial and it's order

Q: rational numbers are closed under the operation where 0 b d 11 Zac + 2ba b²d²

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Q: Find the global extrema of f(x, y) = x3 - xy - y2 + y on the square [0, l] x [0, 1]

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Q: -Prove that the taylor series for the function f(x) = x³ about x=1 is reduce to x³.

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Q: Let L be a linear transformation from P₂ → R2x2 such that L(f) — ƒ(1) 0 Find dim[Range(L)] ƒ(2)…

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Q: A rocket is being launched. After a while, it rises at a constant velocity of 5 miles per second. An…

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Q: (2) (C) Show that C = 6 ||abER} a, commutative ring with unity even if M₂ (R) is not. Finally, show…

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Q: A person's Body Mass Index is I = 172, where W is the body weight (in kilograms) and H is the body…

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Q: If the 3215 MOT C a -1 0 25 is 7, then what is the determinant of the 3x3 matrix 3 2 1 2 5 2 b…

A:

Q: 2. Let f (a, b)→ R be a function and suppose there exists constants M > 0 and a > 1 such that |f(x)…

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Q: Let's try to the Gram-Schmidt process of orthogonalization with the matrix 0.223 0.668 0.710 -0.125…

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Q: Solve the differential equation (x − 1)y" + 2y' + x>1 4 (x − 1)³y = 0, by first writing it in self…

A: Please find the attached image.

Q: This is the graph of f(x)= f(x) = g(x)? X-2 x + 2 and g(x) = 4x 1. For what interval(s) is

A: Using basic inequalities we solve this problem. The details are typeset and presented in step 2.

Q: In Problems 11 and 12, change the indicated order of integration to each of the other five orders.…

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Q: Bill and Ted did indeed have a most excellent adventure! They collected many wonderful items on…

A: Adjusted Winner Method: Here a table is given with 100 points distributed for each of the two…

Q: The income distribution of a country is estimated by the Lorenz curve f(x) = 0.37x³ +0.56x² +0.07x.…

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Q: Obtain the splitting field of

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Q: Let x, y, z be (non-zero) vectors and suppose w = fz = x + 4y, then w = 1 Using the calculation…

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Q: Find the General Solution of the following differential equations. If boundary conditions are given,…

A: According to guidelines we can solve only 3 subpart.

Q: 4. Create an equation for the polynomial function g(x). The degree of the function is 6. Show your…

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Q: Consider the following nonlinear boundary value problem f" = -(f')²-f+ lnx, vith x € [1,2], ƒ(1) =…

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Q: The amount of time in seconds it takes for a swimmer to hear a single, hand-held, starting signal is…

A: Given t(x, y, p, C) = x2+y-p2331.45+0.6C

Q: 1. Let f(x) = 1 4-2² a) Find a power series representation for f(r) and indicate its interval of…

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Q: Let G be a group of order 75. How many Sylow p-subgroups can G have, where p = 2, 3, 5 ? Further, is…

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Q: Consider the function f(x, y, z) = xy + y2² + xz³. Find the gradient of f: A. Find the gradient of f…

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Q: Find the Wronskian for the set of functions.{ex2, e−x2}

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Q: If e^x=a find the value of cosh(x) for a = 5.94 to 2 decimal places

A: We know that: cosh x=ex+e-x2. It is provided that ex=a and a=5.94.

Q: Z" +4 have Show that the complex function f(z) = Z +4 Z(z-21) Vemovable discontinuity at Z=2i а

A: The given problem is to show that for the given complex function f(z) = (z4+4)/(z(z-2i)) have the…

Q: Find the inverse, if it exists, for the given matrix. 5 2 2 7 Find the inverse. Select the correct…

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Q: Solve the simultaneous, nonlinear equationsx1 ln x2 + x2 exp( x1) =ex(1)x2 ln x1+ 2x1 exp (x2) =2…

A: As per the question we are given a system of nonlinear equations in variables x1 → x , x2 → y And we…

Q: QUESTION 11 Let's try to the Gram-Schmidt process of orthogonalization with the matrix 0.223 0.668…

A: Given matrix  0.2230.6680.710-0.1250.7410.6600.795-0.2340.560 Let the vectors be  r1=0.223,0.668,…

Q: Let S be a parametric surface (a). r(u, v) = (u cos v, u sin v, v); ue [0, 2], v = [0, π]. Find r,…

A: Here , r( u ,v ) = ( u cos v , u sin v , v ) , u ∈[ 0,2 ] , v ∈[ 0 , π ]. ru is the partial…