A star Of radius Find the Mass.cs.ing x,Y,Z Coordinates, Mass = Ss R of density 8 = R- Jx+ya

Q: there is at most one polynomial of degree less than or equal to n_____ option,(a) which interpolated…

A: Using interpolation theory, We need to check which option is correct.

Q: @ In a G Survey the 100 out-patient who reported at a hospital one dey, it was found out that 70…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 5.The sum of 100 real numbers in a given set X equals zero. Prove that the sums of at least 99 pairs…

A: Let set X=a1,a2,a3,…,a100 such that a1+a2+a3+⋯+a100=0. To prove that the sum of at least 99 pairs…

Q: Let e1, e2,..., en be an orthonormal list of vectors in an inner product space V over F. For any…

A:

Q: 92 (a) Determine the roots of fix) -13-20x+ 19 -3x graphically. In addition. determine the first…

A: (A) we are given to use graph to find roots firstly , draw graph we can see that curve intersects on…

Q: -4 -3 2 -1 A = -5 -2 4 -10 -4 -3 Find dimensions of the kernel and image of T(x) = Ax. dim(Ker(A)) =…

A:

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: -2 1 y = f(z) 14 17 105 Hence find:

A:

Q: What is the Laplace transformation of  L{e-2t cosh (4t) + e-2t sinh (4t)}

A: Here we can use the following formula Lcoshat=ss2-a2Lsinhat=as2-a2andLe-atft=Fs+a   where Lft=Fsthe…

Q: What is the Equilibrium Price (Rs) and quantity (units) demanded for X on the market? Use a diagram…

A: Here is the diagram of supply and demand:

Q: b) Consider the following linear programming problem: Min z = x1 + X2 s.t. 3x1 - 2x2 < 5 X1 + x2 < 3…

A: Let us consider the linear programming problem  Min. Z=f(x,y)s.t. g(x,y)≤bx,y≥0 Solving by graphical…

Q: 14. Find the volume of the parallelepiped having i + 3j + 2k, 2i + j- k and i- 2j + k be the edges.…

A: The edges of the parallelopiped is given to be a=i+3j+2k, b=2i+j-k, c=i-2j+k. To find the volume.…

Q: (4b) Prove that there exists no positive integer x such that 2x < x² < 3x.

A:

Q: Apply Sylow theorems to identify the correct statement O Every group of order 65 is not cyclic…

A: Option c is the correct answer

Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A:

Q: For the next few problems, suppose we are operating under Saccheri's Hypothesis of the Acute Angle…

A: Given: A Saccheri Quadrilateral ABCD, as shown below:   To prove: If ABCD is a Saccheri…

Q: 2.| Let X1,..., X„ be n random variables. Prove that max (X;) = X; -Emin (X;, X;) + i<j i=1 + E…

A: I am trying to prove it by principle of mathematical induction.

Q: that A → B F (Vx)A → (Vy)B, if y is not free in B.

A: Solution

Q: y = A J,() dx Ex. 7. Show that +B J„(x) is the complete solution of Bessel's xJ(x) equation.

A:

Q: Direction: Solve this problem by following the steps in problem solving. Mang Amado enclosed his…

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

Q: 1) If P(x1, Y) and R(x2 y,) lie on the same vertical line, what is the distance between these two…

A: As per our company guidelines we are supposed to answer only the first three questions. Kindly…

Q: If lim S(P, f, a) exists as µ(P) → 0, then fe R(a), and lim S(P, f, a) =|f da. H(p)0

A:

Q: ) In a school of 36 students, 19 of them studies Music and 16 studies Art. Each student studies at…

A: Given: Total number of students=36 Number of students who study music=19 Number  of students who…

Q: Prove that a conical tent of a given capacity will require the least amount of canvas when the…

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Q: Activity A.Determine whether the given is an exponential function, exponential inequality,…

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Q: Consider the following difference equation: 4x, +3x_+2=0 with x, = -1 a) Determine the general…

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Q: Find the exact arc length of the curve over the stated interval. 1 -4, from y = 1 to y = 2 12 NOTE:…

A:

Q: Find the radius of convergence of Power Series fca) = E n'agn. z"

A: The given problem is to find the radius of convergence of the given complex power series. We can use…

Q: Given log(100) =2, log(101) =2.0043, log{103) =2.0128, log(104) =2.0170   find log(102)

A:

Q: Let G be an undirected graph, with adjacency matrix 1 1 1 1 1 A = | 0 1 1 1 1 1 1 1 1 1 How many…

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Q: Suppose that we have measured four data points (1,1,1), (1,2,0), (3,-1,0), (0,0, 1) and the our…

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Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: There is at most one polynomial of degree less than or equal to n which interpolates f(x) at (n+1)…

A: By using interpolation theory, we need to check which of the given options are true.

Q: e =5= is Cupve?

A: Algebraic curves are the curves considered in algebraic geometry. A plane algebraic curve is the set…

Q: Compute all generators 1) of the multiplicative group Z'n 2) of the multiplicative group Z's.

A: (1)

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A:

Q: Given the following table of values of the polynomial f(x), what is the minimum number of zeros of…

A: Introduction: One of the advanced and key properties of a continuous real-valued function is the…

Q: An engineer found that by including small amounts of a compound in rechargeable batteries for…

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Q: 2x1 9x, s 63 X1 + 4x2 s 29 X1, X2 2 0

A: We have to find the basic solutions and indicate whether the solution is feasible or not.

Q: 4. Let R be the relation in the positive integers

A: 4. Given, R be the relation in the  positive integers ℕ defined by                        R=x, y: x,…

Q: For the polar equation r = 4+ 2 sin 0 :

A: We have r=4+2sinθ A graph is symmetric about x-axis if rθ=r-θ A graph is symmetric about y-axis if…

Q: 3)3 differant radical #'s rany is the set of all real #'s greater than o

A: Let us give three different examples of radical numbers in the next step.

Q: 6. Find the value o() for a solution o(x) to the initial value problem: y" + y = sec® z; y(0) = 1,…

A: Differential equation and it's solution

Q: Write the integral that would be used to find the area bounded by y = x2 + 1, y = x - 2, x = -2 and…

A: Given that, the equations are y=x2+1,y=x-2,x=-2 and x=2. x2+1=x-2x2-x+3=0x=1±11i2     ∉ℝ Therefore,…

Q: Y <= 93. Which one of the following is true: a. Optimal objective function value is 0. b. Optimal…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Consider an Ultimaton game in which the disagreement payoff of each player is c> 0. Which of the…

A: In an ultimaton game we have one player making an offer of how to split a given amount, and the…

Q: Solve the given DE x?dy - xydx-2ydx

A:

Q: 3. Find the series solution of x²y" + x(G+ 2x)y' + (x – )= = 0 using frobenius method

A: Given differential equation is x2y'' + x12+2xy' + x-12y=0 Let y=∑n=0∞ anxm+n  be the solution of…

Q: 1. Solve the following DE using TWO DIFFERENT methods (Two dif- ferent approaches to same method…

A: Introduction: The separation of variables is a method for solving ordinary and partial differential…