Place the numbers 1 to 6 in the circles below. Each number can only appear once in the circles, and each side must sum to 9. 1

Q: Use the Integral Test to determine if the series shown below convérges or diverges. Be sure to check...

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Q: 2. Recall that the characteristic function of a set E is defined as I is in E 1, Xe(z) = { 0, z is n...

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Q: dy = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). For dx Approximating...

A: Given: dydx=9+y, y(0)=4 and h=0.1. To find: Value of y(0.6).

Q: The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in non-in...

A: We have given that , degree sequence ,  4 , 3 , 3 , 2 , 2. We need to find number of edges. We know ...

Q: х+2 у-1) dx- (2х+4 у-3) dy%3D0

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Q: +00 El-1)» (" – n)" 2η n=1

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Q: (-1)"2na" Determine the interval of convergence of > n² + 1 n=1

A: The interval of convergence of a series is the interval in which the series is convergent.  The powe...

Q: a) Describe the transformations on the cubic function below. Explain your thinking process. [C4] fx)...

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Q: t+ x- 3y + z= 0 Let V be the solution space of the homogeneous linear system t+ 3x – 4y + z= 0 2х — ...

A: The given question is related with vector space. Given that V is the solution space of the homogeneo...

Q: 5. Write the formal proof that 2"+2 + 32n+1 is divisible by 7 for all positive integers.

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Q: 3+i. You must provide a brief justification of why the solutions satisfy the equation and why there ...

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Q: Graph the image of the figure using the transformation given. 1) roțațion 90° counterclockwise about...

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Q: (b) Define subspace and Verify whether is subspace v = {(x,y,2):x,y,2ER² and x-2y+3z = 5}

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Q: Definition 1: Let 1, y E Z. Then I is divisible by y if there exists an integer k such that I = ky. ...

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Q: (х+2у -1) dx - (2x+4 у-3) dy%3D0

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Q: Find the vector v = PQ. %3D P = (2,3,4) Q = (2,5, 10) V =

A: The vector v is given by v=<q1-p1,q2-p2,q3-p3> therefore   if P=(2,3,4) and Q=(2,5,10) then 

Q: A curve is given in polar coordinate as r=R(f). What is its curvature? Find it in terms of R,R' and ...

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Q: Find appropiate in tegrating and solve the equation an 3 323? dx + こ

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Q: nd the Fourier Series od (x) = x %3D

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Q: f(2) = { a sin ! r+0 i r= 0 1. Let i Is f(r) continuous at 0? Justify ii If f is discontinuous at 0,...

A: We have to check the given function is continuous at x=0.

Q: 22+88

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Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

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Q: Solve s(4- dx 3x2

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Q: 5. Evaluate the integra 21-dA, RZ-3y %3D where R is the parallelogram enclosed by the lines 2r-y 0, ...

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Q: • Problem 2. Let a, b e R, with a < b. Consider the set B[a,b] of all bounded functions from the int...

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Q: A CD I AB, BE LAC CD = BE, BD = 5x -7 CE = 2x + 14, DF = 2x + 5, D E EF = 3x - 2. 9. Find m2C 10. AA...

A: Given: The figure, CD¯⊥AB¯, BE¯⊥AC¯, CD¯=BE¯, BD=5x-7, CE=2x+14, DF=2x+5 and EF=3x-2   To find: m∠C...

Q: 3. A rectangular prism with dimensions 6 m x 4 m x 8 m (l x w x h) is shrinking. 8 m 4 m 6 m Answer ...

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Q: a) Make a conjecture about the convergence of the series, cos E by considering the local quadratic a...

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Q: sin (2?- 4a) lim, 4 sin (x2 – 10x + 24) -10x +24)

A: LHospitals rule indeterminate form.

Q: B. Inverse Laplace Transform of Elementary Functions. Find the Inverse Laplace Transform of the foll...

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Q: (n) Show that the density expressed in spherical coordinates (r, 0, 4) is p = Ar (1 – con" 0) eon² 0...

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Q: Find the Fourier expansion for the function intersad -ist <I fit) : t-t in the

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Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

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Q: • Problem 1. Let (V, (-|-)) be an inner product space. Show, for all v, w e V, that |(v\w)| < (v|v)'...

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Q: ( ) - - H) (12 (a) Using Gaussian elimination, find a vector v such that 12 (b) Give an example of a...

A: The system of equation Ax=b has a unique solution if rank (A) =rank(A|b) =number of variable.  And h...

Q: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the rema...

A: Here we can use following facts (a) Perimeter of a circle with side a = 2πa Area of a circle with si...

Q: 4. Prove that given any integer for n, n3 + 2n will be divisible by 3.

A: We have to prove by induction.

Q: Evaluate lim T

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Q: = 0 is to be n method. he value of IS

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Q: Find the point P such that v = PQ has the components (-1.75, –8.75, 2.5). Q = (1.25, 1.25, 5.5) P =

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Q: 1. Let X = {a, b, c, d, e} and T = {Ø, X,{a}, {c, d}, {a, c, d}}. Find the closure, interior, exteri...

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Q: (7) Given the following pieces information, describe the set of solutions x such that Ax = b: (a) b ...

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Q: Task 1. Using the Eigenvalue method, solve the system x' Ax for -1 0 0 0 2 A = Show that some (nonze...

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Q: dy For = 2x +y and y(0) = 2, use Euler's method with h=0.1 to approximate y(0.5). dx Approximating y...

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Q: Your uncle has $90,000 that he wishes to invest now in order to use the accumulation for purchasing ...

A: Solution is in given below

Q: The Amazon River is about 6,400 kilometers What is the length written in Scientific Notation

A: Solution

Q: roblem 4. Let w, y, z E Z[i] such that wyz, and let d be a gcd of w and z, show that wyd.

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed between x ...

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Q: Construct a Venn diagram to determine the validity of the given argument   No vendor owns a gun    ...

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Q: Question 8 * For a given function f(x), the divided -differences table is given by: S [xo]= -1 S[x]=...

A: To find the required approximation, we will use Newton's Gregory's formula