Determine for which polynomial(s) (x+2) is a factor. Explain your answer. P(x)=x-3x³-16x-12 Q(x)=x²-3x²-16x - 12

Q: 386 por transformation of vector sp (b) Find [T]B,B.

A:

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. [105-4] 0 1-5-2…

A: We have to determine the matrix is in echelon form, reduced echelon form, or neither.

Q: (b) IF there exists a function m(z) with domain R such that f(r)-f(a)= m(x)(x-a). THEN f(z) is…

A: We have to check whether given statement is True or False.

Q: Find the general antiderivative of f(x) = −5x² + 3-1/3+ +√x x3 + C

A: We have to find the general antiderivative of .

Q: Using residues, evaluate the integral -8 x² (x² + 1)(x² +9) dx

A: Using residues, we have to evaluate the integral

Q: 1. Complete the following table Relation y=(x+5)²-6 {(-5,4),(-5,3),(2,5)} Function (yes/ no) Domain…

A:

Q: 3 Given the function f(x) = x + 3 on the interval 0 ≤ x ≤ 1 the Fourier sine series expansion of…

A:

Q: Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow…

A: The phase plane is the graphical representation of all the solution curves of a system of…

Q: (a) Let A be a 3 x 3 matrix whose entries on the main diagonal and below the main diagonal are all…

A:

Q: Solve a triangle DEF where the angle D is 62degrees and the sides are d= 12cm and e = 16cm Use the…

A:

Q: Using residues, evaluate the integral 4 Lx (2² + 1)ā dz dx 1)³

A:

Q: Determine a lower bound for the radius of convergence of series solutions about the given xo for the…

A:

Q: The total cost (in hundreds of dollars) of producing a slide rules per day is C(x) = 12 + √2x + 23.…

A: We've -

Q: Exercise 10.1.1 Consider the following functions T: R³ → R². For each of these functions T, show…

A: Note: we will be solving part(c) only as mentioned.Consider the function  defined as follows..We…

Q: c) d² y dt² +2 dy dt + y = 4t, y(0) = 0, y'(0)=5

A:

Q: cos - sin 0 0 where x, y, and z are distinct. sin cos 0 0 A: 0 0 cos - sin 0 0 sin 0 cos and B 1 x…

A: For a square matrix of order n×n , the greatest integer r ≤ n , such that there is at least one…

Q: In general given two matrices A and B then: A' = B'. O None of the other answers. ○ A'B = (B' A)'.…

A:

Q: 1. Use Dijkstra's algorithm to find the shortest path between u and v. } ១ ។ \O |a “ ។ 3.

A: We have to Use Dijkstra's algorithm to find the shortest path between u and v.

Q: Find the rank of the matrices sin 0 cos 0 0 0 cos - sin 0 0 where x, y, and z are distinct. A = cos…

A:

Q: Find the general solution of the following systems of differential equation A) 80-180 X' (t) = X (t)

A: For given differential equation we have to find the general solution. Note - According to our…

Q: Given the graph of g(x), sketch the graph y=f(2x+2)-3.

A:

Q: Suppose a system of constant coefficient differential equations - Az has a 2 x 2 matrix A with Find…

A:

Q: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

A: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

Q: Question 1. Consider the following function: a) Graph the function 3 2 0 ) = { $ 1-2 f(x)= 0≤x≤2…

A:

Q: f(x, y) = √ √1 − ² − 2 a) Sketch traces for some values of f(x, y) = k, xz-trace and yz-trace, and…

A: The given function is .Sketch the traces for some values of  and also for  and  as follows.Put  as…

Q: For this problem, let f: RR be a function. We say that a non-empty set UCR is ajar if Vu €U, 3r >0…

A: A non empty set U subset of R is called ajar if for all u belongs to U there exists a r>0 such…

Q: Recall that just recently, we learnt matrices encode the information of a bigger structure "linear…

A: (A)The given linear transformation represented as follows.(B)The given matrix of linear…

Q: Can you answer these four questions, please?    Find the equation of the line joining the points…

A:

Q: 7. Prove: For neN and F, the nth Fibonacci number, =Fn+1 (1) + (7¹) + ("z ²) + (~³²) +--+ (0) = ² 2…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Let A be a non-empty bound suset of R, and let r∊R, r>0. Define the set B={rx: x∊A}. Show that r sup…

A: To show that rsupA=supB, will prove two inequalities:1. rsupA≥supB2. rsupA≤supBLet's start with the…

Q: Let r(t)=(10 cos(t), 1, 10 sin(t)). Find the unit tangent vector u drawn to point P=(6,1,8). Sketch…

A:

Q: A particle is moving with acceleration a(t) = 6t + 18. its position at time t = 0 is s(0) = 3 and…

A:

Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

A:

Q: Suppose F is a sequence of increasing non-negative right continuous functions on [0, 1] such that…

A: Monotone Convergence Theorem theorem states that if fn is a sequence of non-negative measurable…

Q: 2. Simplify the following: a) 2 106² +42b + 36 6b²-2b-60 ÷ 40b + 48 36² - 13b + 10 √/54x²y³ √5x³y²

A:

Q: Show that a cycle of odd length is an even permutation, and a cycle of even length is an odd…

A:

Q: A volume is described as follows: 1. the base is the region bounded by y 2. every cross section…

A: The region bounded below by y=2.4x2+0.6bounded above by y=e2.4x and bounded right by x=1.Point of…

Q: 5. A theatre has 20 rows of seats. There are 15 seats in the first row, 17 in the second and each…

A:

Q: Perform the matrix operation. Let A = [22] -8-8 O 4 -3] -16-4 0-3 (0-12] -3 0-12 and B = Find A - B.

A: and To find: .

Q: Find an orthogonal set with the same span (and same number of elements) as 7 -5 4 (D90- -10 7 4 3…

A:

Q: Approximate projíu and projów. -8 -7 -6 -5 -4 -3 -2 -1 projwu projuw vector u vector w -5 Each entry…

A:

Q: d²y dy dt² dt +c- Dirac delta function and F m- = -mg + Fod(t-1) in the 1. CUL

A:

Q: Let G be a group and let H and K be normal subgroups such that HnK = {e}. Let : G→G/HxG/K be the map…

A: Let  be  a  group  and let and  be  normal subgroups   such  that .Let   be  the map We have   to…

Q: 4. Let R be a relation on the set of all integers. xRy iff x - y = 3m for some integer m. Show that…

A:

Q: Exercise 10.4.6 Consider the linear transformation T: P3 → P3 given by T (p(x)) = p(x+1). Find…

A:

Q: Find the sets of rationalizable strategies in the following game: Player 2 A B C E 0,7 2,5 7,0 5, 2…

A: As per the question we are given a game strategy in terms of a bimatrix, and we have to find the…

Q: #3: A 126 lb weight stretches a spring 14 feet. The weight hangs vertically from the spring and a…

A: The mass of the object m=12632=6316 slags.The spring constant k=12614=9Damping constant c=972Let…

Q: Use upper and lower sums to approximate the area of the region using the given number of…

A: Given is a function To Find: Upper Riemann sum and lower Riemann sum and find the area of the region

Q: Using residues, evaluate the integral L 1 x² + 4x + 5 dx

A:

Q: Question 3.2. dr. (1) Let a, b € R be non-zero. Use integration by parts to determine faze d (Note:…

A: integration by parts:  If u(x) and v(x) are two functions then…