Solve the system of linear equations using direct methods x + y+ z+ w = 6 2x + 3y - w = 0 -3x + 4y + z + 2w = 4 x + 2y – z + w = 0

Q: Drag each set of column entries to the correct location In the augmented matrix. Not all sets of…

A: Given:               x+y+z = 320                                x+12y = 20               y-z = 75

Q: Use Lagrange multipliers to find the points on the cone z2 = x2 + y2 that are closest to (8, 2, 0)…

A: Given: Equation of the cone: z2 = x2 + y2 Given point: (8, 2, 0)   To find: The points on the cone…

Q: Employees at Sherman Inc. were given a survey about their current habits. One of the questions asks…

A: When the sample population becomes large, the result will become more accurate. So option C is…

Q: Consider the transformation T: M2x2 - P, defined by = (a + d) + ct + 2br? с а for a, b, c, and d…

A: A

Q: The oscillating current in an electrical circuit is as follows, where I is measured in amperes and t…

A:

Q: e?y cos?x dy -24 y? Lnlsinx) d x

A: solve the following first order differential equations (Variable separable

Q: Ee whether or not fn converges uniformly nclusion. b) (0, 1)

A:

Q: f $10,000 is borrowed at 10% interest to be paid back over 10 years, how much of the second year's…

A: Given that the loan amount is 10,000$. Rate of interest is 10% Time period = 10 years. To find the…

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: Given quadratic surface is  45x2+20y2+36z=0

Q: Let A ={1, 4, 7, 10, 6, 5}, B = {4, 8, 10, 2, 9}, and C = {2, 3, 4, 5} Show the Venn Diagram of the…

A:

Q: Let's assume that we have the following system of linear equations Ax = b where 4 3 2 А 3 4 -2 -3 2…

A: Using Jacobi method

Q: Perform each of the following: i. Show that two distinct reflections 2, and 2, commute if and only…

A: i) show that two distinct reflections Ωl and Ωm commute if and only if m is perpendicular to n.ii)…

Q: 2-1n 7LX1, Show that the distinct polynomial s x+x and x+X determine the Sange function From Zz bo…

A: We have to show that,  the distinct polynomials x4+x  and x2+x in ℤ3x determine the same function…

Q: 7. A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid…

A: Solutions

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: To find the surface area of the below plane if it is in the first octant. 15x−5z+20y=35

Q: A curve is defined implicitly by the equation ax + by2=r2 Given that a=20, b=2 and r=7, find the…

A:

Q: Which one of the following series is divergent by comparison test?

A:

Q: Which one of the following series is absolutely convergent? 00 4 2(-1)". n=1 n+ 5 2(-1)" Jn +4 n=1…

A:

Q: Show that the function f defined by 1, (x, y) = (1,–1) f(r, y) = { x² + y (x, y) # (1,–1) r+ y is…

A: In this question, the concept of limit is applied. Limit Limits are the points at which a function…

Q: if was T:R>R Linear identifier grandfathero kert O I mT

A:

Q: For the following differential equation = x * (x2 + y) + 2 and the following initial condition y(7)…

A: The given differential equation is y'=xx2+y+2 and y7=10. To find: the value of y1.

Q: (a) Consider the matrix 4 0 4 7 -5 1 A = 3 -1 2 1 -6 0 (i) Compute the determinant of A. (ii) Using…

A: Consider the matrix: A=7-51400403-12201-60 (i). To compute the determinant of A (ii). To explain…

Q: the Area that lies inside r=3+2 sin 0 out side r=2 is 24.315 O -24.187 O 23.957 O 24.187 O -23.957

A: Solution:-

Q: 6" +3 2 (-1)"-1b, where b= n=1 (n+ 3) 9"+4 a) Find and simplify bn+1 bn b) Test the given series for…

A:

Q: Find the Taylor polynomial for f(x) = (x – 1) * sin(2(x – 1)), xo = 1, n = 2. F(x) ~ P2(x) = ax² +…

A: Solution

Q: The table to the right lists the annual hours worked by the average worker in a country for selected…

A: Introduction: We've seen lines drawn on the coordinate plane in geometry. The best approach to…

Q: Work Problem 2 ( ): Consider the vectors from R³ 1 2 V2 a V3 = 4 %3D 3 a) Create the augmented…

A:

Q: x = x2 - 4x1 + 4x3 x2 = -3x2 - 4 V3x1 +gX3 x = 7x2 – 2x1 Find the eigenvalues and eigenvectors by…

A:

Q: a. Highlight the graph of y = I 6x +5 red by dragging your finger along the indicated line. x2 + 6x…

A:

Q: The following sequence 2357" An = e\ n! converges toe O converges to 1 converges to 0 diverges

A:

Q: (a) Use triple integral in spherical polar coordinates to find the volume of a unit sphere. (b) The…

A:

Q: Ysing 7 consonants and 5 vowels, how many words consisting of 4 consonants and 3 vowels can be…

A:

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A:

Q: 1 A = - 20 -8 Find an eigenvector corresponding to the eigenvalue – 4 – 2i:

A:

Q: diff. eqs. =2 y" – 2x y + 2 y =x³sinx

A:

Q: 9. Using calculus to show minimum and maximum values taken by functions, find and prove(Create your…

A:

Q: A stone is thrown vertically into the air from a tower 30 m high with initial velocity 15 m/s.…

A: We have to find the total hight and total time  to throwing  stone come back to ground.

Q: 1. Consider the vector field F(x, y, z) = (2e2" cos(3y), –3e²" sin(3y) + Y a. Find divF(x, y, z) and…

A:

Q: POSSIBLE POINTS Solve the system of nonlinear equations by graphing. SELECT ALL THAT APPLY. Sy = a?…

A:

Q: Use integration by substitution or integration by parts as appropriate to evaluate Axsin (Bx) dx…

A: We are given A=3 and B=3 now putting the values in integral it becomes ∫0π23xsin(3x) dx first we…

Q: For f(x) = x³ – 2, xo = 100, x1 = 90 calculate c2 by using the secant method. X2 2 Submit the Answer…

A: Here f(x)=x3-2,x0=100,x1=90. We find x2 by using secant method.

Q: %3D Find the area of the region enclosed by y = 4.5x and z = 7- y. -2 2 5 Use horizontal strips to…

A:

Q: pentagon GHJKL (not shown), 9. If the perimeter of ABCDE is 50, 25. Pentagon ABCDE AB = 6, and GH…

A:

Q: Function: g(x) = (3)-(x+1) + 4 %3D 1. Parent (base) function: 2. List of transformations (with…

A: 1) The given function is: gx=123-x+1+4 The parent function is the following exponential function:…

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(V2t), y(0) = 11,…

A:

Q: Debbie is lying an the ground loaking at a tree. She sees the top of the tree from the ground level…

A:

Q: 0 1 Consider the martix A - 10) The eigenvalues of A are (start with the smallest) t = [A] with the…

A: Solution

Q: C.CE diff. eqs. 8. x³y" +x²y" – 2x y' + 2 y = x³sinx

A:

Q: 7/2 sin 0 cos (cos a cosec 0) d0 ||

A:

Q: 1. If the radius of a spherical balloon is increasing at the rate of 3 cm/s, which of the following…

A: We are only allowed to solve one question at a time so we will answer only the first question.…