Problem: 5 a. Find the exact value of sin 45° + sin 135° + sin 225° + sin 315° b. Find the length of arc and the area of the sector of a circle of radius 24yd and central angle 70°. c. Convert 61º45'25" into decimal in degree form

Q: 3 - 4 Is v = - 2 an eigenvector of A = 2 - 3 -2 ? If so, find the eigenvalue. 1 - 1 0 - 2 ... Select…

A: To verify that v is a eigenvector of the given matrix or not.

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Q: me Date: 2 Ceate coordinate pairs from the table and graph them on the grid 20 18 16 14 12 10 2 3.…

A: To graph the coordinate points on the axis plane . And the coordinates are (1,1), (2,4),…

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A: Given that A=a1,a2,a3 and B=b1,b2,b3 be bases for a vector space V, and given…

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Q: lock of volume 97 ft3 is to be made, ar the ton and sidos oro 63 nor ft2 and C

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A: we have to find a sequence such that it has two limit points.

Q: Write down the quadratic form corresponding to the matrix. [1 2 -3] A = 0 3

A: Given A = 12-303200-2

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Q: Question 5 Write down the quadratic form corresponding to the matrix. [1 2 -31 A =0 3 lo o -21 2

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Q: 1. For the following, show that KB does not entail a: a) KB = {(pVr) =¬q, ¬r = q}; a = (p=r) b) KB =…

A: for the following show that KB does not entail α: a) KB=p∨r⇒¬q , ¬r⇒q ; α=p⇒r b) KB = p⇔q ,¬s∧p  ;…

Q: Exercise II.44. Let B be the transformation Rjo T(1.2.0) . B((0,0,0))? Give the 4 x 4 matrix…

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Q: Are the following statements true or false? 1. The set (0) forms a basis for the zero subspace. 2.…

A: We have to identify the given statement as true or false.

Q: Lind the Linearization of Nonlinear Relationships y = X+9 メナb

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Q: II. Solve the following differential equations using the substitution suggested by the equation. 1.…

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Q: -2 -2 0 3 4 4 -1 1 -1 | A = |0 -1 3 3 2 -3 4 -7 -2 0 9 -5-

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Q: AnimoSpace Support e 1. Maximize Z = 7x1 + 5x2 s.t. 4x1 + 3x2 40 5x1 + 2x2 > 30 X1 > 2 X2 > 3 X1 ,…

A: Since you have Posted multiple questions, we will solve the first question for you. If you want any…

Q: Q3: a) Find an equation for the plane through P(0,1,-2) perpendicular to n= 3i- 2j+k

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Q: 9. Let {xn}, be a sequence of real numbers. What does the boundedness of this sequence mean?

A: Given xnn=1∞ is a real sequence.

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A: To draw the graph of the given function and find the domain and range of the function .

Q: Calculate 7!/(3!2!) .

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A: Solution

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A: Suppose there are  n guests. Then each guest shake hands with n - 1 other guest. However , that each…

Q: Show that the column vectors (1,1,2,4),(2,-1,-5.2) (1,-1,-4,0) and (2,1,1,6) vectors in R are…

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Q: Find a basis for the eigenspace corresponding to each listed eigenvalue of A below. 4 1 A = 1 = 4,5…

A: Given the matrix A=4105 and the eigen values λ=4,5To find: Basis for the eigenspace corresponding to…

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Q: (-1)"x2" Σ (2n)! +00 1. For all x E R, cos x = n=0 a. Find a power series that is equal to x cos(x²)…

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Q: Compute the exact sum of the following: n j 4 ΣΣΣ&- ) j=1 k=3 j=2

A: Sum of summations

Q: y'= Y/x -tan Y/x

A: We have to solve the following differential equation :            y' = yx - tanyx

Q: What is the field of fractions of Z[x], the ring of polynomials with integer coefficients?

A: Please check the answer in next step

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A: We are given the function f(x)=5x5+3x3+2x+1 and the step size as h=0.5. As we are given no…

Q: 1. x3 – 2x2 – 5 = 0, [1,4]

A: as per bartleby guidelines we are supported to answer only first three subparts, kindly repost rest.

Q: Let R be a commutative ring with identity, and let a, b E R. Assume ab is a unit in R. Do a and b…

A: Here given R is a commutative ring with identity. and let a,b∈R and assume ab is a unit. we have to…

Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

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Q: The following data represents the heat capacity (o) at different temperatures (T) for a given gas.…

A: Let T=x and σ=y x y x2 xy -40 978 1600 39120 -30 1058 900 -31740 -20 1180 400 -23600 0…

Q: Find the Grodient (Cylindrical ) V=(2pz?sin"p)op +(pz-sin24)ap + (2p2 sin? o) az

A: Given: V=2ρz2sinϕaρ+ρz2sin2ϕaϕ+2ρ2zsin2ϕaz To find: Gradient of given function.

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A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the second…

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Q: (b) L = (xD – 4+ 2i)(xD – 4 – 2i)(xD – 5)² and L[y) = VT + sin(2 ln(x)) + 7x5 |

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Q: Data were collected to determine the most preferred fast-food ch oices were given as: Jollibee (J)…

A: In Plurality method the candidate with the most number of first choices  is the winner.

Q: Evaluate / f(z)dz when ) f(z) z+1 and y = TR (R > 0) z2 (ii) f(z) = (z+1)³ sin(z2022) and y = r(0;…

A: Given function i fz=z+1z2 and γ=ΓRR>0iifz=z+15sinz2022 and γ=γ0;1

Q: Find the arc length of the parametric curve x = 2cost, y = 2sint, z = 3t 0 ≤ t s=.

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