Find the Eigenvalue and Eigenvector 2 2 1 A = 2 2 1 5 -1 1

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Q: How many numbers between 11 and 200 are exactly divisible by 7? Find their sum.

A: The nth term of an arithmetic sequence is calculated using the formula: tn=a+(n-1)d. The sum of the…

Q: Consider the following relations R1, R2, R3, R4 on the set [4] = {1,2, 3, 4}. Each of the relations…

A: Here we use definition of function and relation

Q: if if +1 proof that hot comtin aous Otis Riemann thtegrable

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Q: 3. Consider the partially decoupled system dr (a) Derive the general solution. = 2r - 8y dt (b) Find…

A: This is nonlinear autonomous systems of differential equations.

Q: A leaf in a tree has degree 1. True False

A: Solution :-

Q: Let A and B he two matrices of size 3 x 3 such that det(4) = 2 and det(B) = 3. Then det(38" A") = О…

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Q: x3 – 4x – 9 = 0 flx) -x°-4x-g ca) bisection 6) false yoution txcel file !!

A: Given that fx=x3-4x-9 Let first find the interval where the root lies, therefore check…

Q: 2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider J…

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Q: 7. x= 132" D B. (5x + 11)

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Q: Evaluate t sint dt using trapezoidal rule. And compare with exact value.

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Q: Examine the leading term of the function P(x)=-2x³ + 3x² – 5x+3. Determine the far-left and e…

A: The far-left behavior of the function: f(x) is defined using the limit: limx→-∞f(x). The far-right…

Q: ct the Fourier series for the function f(x) = (T-x)² for 0 <x < 2n ? %3D

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Q: ez Write the adjacency matrix for the graph. Write the incidence matrix for the graph. State the…

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Q: tan - -dx is equal to ONE of the following. The integral (HINT: Use Maclaurin series) OA (-1)" Σ o…

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Q: 9 what is the Max and min ¿ (4) att ained by f (t)? values (S)oea of oerb le o ) Sketch the graph of…

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Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: Find the gradient of the curve y = x³ – x2 – 8x – 2 at the point on - the curve whose x-coordinate…

A: Derivative of the function at coordinate x=1 is equal to gradient of curve

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A: Any point on the three dimensional plane is represented by the point x, y, z. Start from the origin…

Q: + Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro…

A: By the Alternating series Remainder theorem we have |S-Sn|&lt;RN&lt;=bN+1.

Q: Calculate ∇φ and ∇2φ of the scalar field: φ = e √ x^2 + y^2 + z^2

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Q: Let the curve C be traced by the vector-valued function Rt) = cos(rt) i + xt j + sin(rt) k. %3D

A: The vector valued functions are usually represented in the form: r→(t)=x(t)i^+y(t)j^+z(t)k^, where…

Q: 6. Find three geometric means between 2.6 a. and 9 9. b. 2 and 162

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Q: Ex. 6 If y(1)=12, y(2)=15, y(5)=25, y(6)=30 find the value of У(4) %3? 1 5 y 12 15 25 30

A: Legranges interpolation, to find the function value at point

Q: 10. Use the Upper and Lower Bound Theorem to find the least positive integer and the greatest…

A: Introduction: Upper LimitsIf you use synthetic division to divide a polynomial function fx by x-c,…

Q: the given exponential function to the form indicated. Round all coefficients to four significant…

A: Given,                     f(t)=17(0.915)t                    ...(1)   and      f(t)=Q0e-kt…

Q: Q4/ Find the centroid of the shaded area shown in figure below.

A: Introduction: The centroid or geometric centre of a flat shape is the arithmetic mean position of…

Q: 3. Find the indicated term in each arithmetic progression. a. a, = 4, d= 5, n=12 %3D 2. b. a d =-4,…

A: We have to find indicated term in Questions.

Q: 1. For the set of all integer numbers Z one defines a relation R on Z as R = {(a, b)|a - b- 2 is…

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Q: Q4/ Solve the differential equation b) = v1+ sinx(1+ y?) when y(0)=1 dx

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Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - 0. 1x2 0.…

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

Q: 6- Give ā = [A, B]and b = [F,E], find VProj(b onto d) and SProjd onto b). Resolve a into…

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Q: 1 Q3\ Evaluate f (x-2)(x-3)

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Q: If y = u and u =3x +3, find dy when x= 1. dx dy (Simplify your answer.) dx Ix 1

A: The solution is given as

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Q: Solve the following inequality in the complex variable z: Re ((z − 1)(z − 2i)) ≥ Re(z − 1) · Re(z −…

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Q: 4. Write down the name of the curves and shade the region that is inside of r = 2 + 2 sine and…

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Q: Consider where E is the region above the cone z = 2/+ y? and below the top of the sphere a+y 22 4.…

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Q: Find the convolution of the two functions: f (t) = 2t and g(t) = (Cos 3 t. %3D

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: Use the definition of an inner product to determine which of the following defines an inner product…

A: This related to inner product from linear algebra.

Q: Solve the following Initial Value Problemsing Laplace transform: y" – 16y' + 15y = e 10t ; y (0) =…

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Q: Let T: R2 → R4 be defined so that T(-1,1) = (1,0, -2,2) and T(1,2) = (-3,1,1,1). Find bases for…

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Q: QUESTION 10 A classroom of children are asked to indicate which Power Ranger is their favorite. The…

A: Frequency is defined as number of times something is observed.  Using this defination of frequency…

Q: Posses ho solurion forr fcs)=S but That Posseses infinitly many solutions whcn f(s) =l

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Q: QUESTION 1 Antonio's is thinking of increasing the base price of their pizzas as follows: Size of…

A: Relative change in price of small pizza          = (7.50 - 6.00)/6.00           = 0.25 Relative…

Q: Suppose you wish to approximate the area under thế grupli The area is sketched below. a) Divide the…

A: a) The graph of fx=ex2 is given on the interval -1≤x≤1, that is, -1, 1. If the interval is…

Q: Sara met with a financial planner and has determined that she will need $1,250,000 when she retires…

A: Solution :-

Q: Consider the two systems of differential equations dr (1) = 0.3z - 0.1ry = 0.3r - 3ry dt dy dt =…

A: Note: As you asked only Question 2 part(i) so, I answered here only part(i).