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Q: Evaluate J by means fo trapezoidal rule using n = 10 and n = 20.  a. If n = 10, solve the length of…

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Q: The RideEm Bicycles factory can produce 170 bicycles in a day at a total cost of $10,400. It can…

A: Given that, The RideEm Bicycles factory can produce 170 bicycles in a day at a total cost of…

Q: Incidence Table 1 E3 E4 E5 E6E7 E8 A 1 -1 0 0 0 0 0 B 0 0 1 0 1 0 0 с 0 -1 0 0 1 0 0 0 D 0 0 1 -1 0…

A: Given, Incidence table from this we can draw graph. In table entry 1 means edge is incident out from…

Q: (ii) Show that the set of solutions {₁, 2} is a fundamental set of solutions. (iii) Hence, or…

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Q: 3. Prove that if G is an open set dense in the metric space (S, d) then SG is nowhere dense in S.

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Q: 1. Evaluate the following limits 1 2. lim (3 + x)² x → +∞0

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Q: E A 2 SA B D 3 F G H 55. Which of the following is/are true? 1. It is a hamiltonian graph II. It is…

A: 55  Clearly graph is Hamiltonian graph Since, graph has Hamiltonian circuit  A-B-D-G-H-F-E-C-A…

Q: Question 4 (a) Solve the differential equation y"+y+y=0. (b) Use the method of undetermined…

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Q: (a) Consider the initial value problem dy y(0) = 1. dz Verify whether conditions for existence and…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x,y) =…

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Q: Consider the region R below bounded by the curves C₁ x - 4y = 4, C₂ : y =√x - 1, and C: x + 2y = 4.…

A: The region need to devides into parts for limit of integration.

Q: Find the absolute extremum values of

A: Given,           f(x)=xe12-2x2

Q: A number of particular articles has been classified according to their weights. After drying for two…

A: Given data Class 1st weighing 2nd weighing 0-5 a x 5-10 b y 10-15 11 40 15-20 52 50…

Q: Jeremy has $2300 to invest for 6 years. a) Which is the better investment? Justify you Investment A:…

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Q: Use separation of variables to find a product solution to the following: ди ди x==y дх ду u=c X…

A: Solution :

Q: Prove or disprove any four of the following 2. Any field is a division ring.

A: Let F is a field, then we have to prove that F is division ring.

Q: 17. Given the following degree of the vertices of an undirected graph H= {4,1,5,3,4,3}, we can…

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Q: Use the method of separation of variables to solve the boundary value problem ди ди + = 0, u(0, y) =…

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Q: Given a region R enclosed by the curves y = 1 + sin (77), as shown below. y = 4 - (x - 2)² 4 and x =…

A: Arc length calculation.

Q: Integrate counterclockwise around C. (Show the det に+1 20. ‚ C: |z − 1| = 3 - ²-iz + 2

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Q: III. Consider the region R below bounded by the curves C₁ - 4y = 4, C₂ y = √x-1, and C₁: | 2y = - 4.…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Refer to the Venn diagram below, and indicate which region(s) should be shaded to represent the set…

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Q: 2. Greg is standing at the back of a train that is 270 m long. He sees a water tower ahead to the…

A: Here we use the sine rule of triangle to solve the question. And use the properties of triangle that…

Q: Let R be the region below bounded by the graphs of C1: x2 + y2 = 16, C2: y = 4 − (x + 2)2, and C3: y…

A: Given,C1 : x2 +y2 =16 , C2 : 4-(x+2)2, and C3 : -4x-4

Q: Determine the values of r for which the differential equation y" - 36y = 0 has solutions of the form…

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: Given a region R enclosed by the curves: y = 1 + sin(™), y = 4(x and x = 2 as shown above. (x-2)² 4…

A: The region R is enclosed by the following curves: y=1+sinπx4y=4-x-224x=2 We are asked to find the…

Q: Consider the physical quantities s,t,u and u. These quantities are related by the equation: s² = tu³…

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Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis, and…

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Q: (2) Let x, y and z be real numbers. Show that the distance between a real number x and z is the sum…

A: Let us solve the given problem geometrically in the next step.

Q: 8.2x+3y=6 x=y= −| 2

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Q: estion en Instruction Complete the venn diagram Solve Solve Solve Solve Solve Content A = {4, 5, 20,…

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Q: 4. Evaluate the double integral: L Lade 1/3 27 +1 (Hint: Change the order of integration to dy dx.)…

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Q: 9. — 3x+y=1 4x+2y=0

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Q: Find the value of a for P(-a ≤ Z ≤ a) = 0.90, 0.975 Solution:

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Q: 5. A binary operation a*b = a + b (logical operation IF-AND-ONLY-IF) defined on {True, False} is A.…

A: Truth table for if and only if

Q: II. Let f(x) = e² sinx 1. Use the local linear approximation of ƒ at x = 0 to approximate e2…

A: Introduction: The formula of local linear approximation of the function f(x) is given by,…

Q: Question 6 obtain the power Series solution of the IE V" - (1+x) y = 0 about the ordinary point x =…

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Q: II. Evaluate the following integrals 2x 2. S -dx 2 5+2x+x 2

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Q: 11.1 Events A and B are independent .Given that ● P(A only) = 0.4 P(A and B)= 0.3 P(B only) = x ●…

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Q: 6. A binary operation a*b = |a - b| defined on Real Numbers (R) is A. just a groupoid B. a semigroup…

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Q: Q4) Find the largest eigen value for the matrix 2 T A with x (0)=(7/17 1) 54

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Q: Solve Solve Solve Solve Solve B - ((ANB)NC) (((ANB)U(CNB))u(ANC))-((ANB)NC) A-B AxC…

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Q: III. Consider the region R below bounded by the curves C₁: 2 - 4y = 4, C₂ y = √x-1, and C32 | 2y =…

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Q: egion R enclosed by the curves y = 1 + sin (77), below. y=4- (x - 2)² 4 and x =

A: This is the problem of Arc length calculation.

Q: A system of differential equations can be created for two masses connected by springs between one…

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Q: 5. Use Cartesian coordinates to evaluate ㅋ y dv where D is the tetrahedron in the first octant…

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Q: VII. Given a region R enclosed by the curves πχ y = 1 + sin 4 as shown below. (2,4) (2, 2) (-2,0) Y…

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Q: 1. State the equation of the cosine function that models the graph below (note: there is no…

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Q: The altitude of the equilateral triangle ARMS is SA = 27. Find the exact length of M.S. S M 27 A R

A: For an equilateral triangle, h=32a. Here, h is the length of the altitude and a is the length of the…

Q: VII. Given a region R enclosed by the curves y = 1 + sin (F). 4 as shown below. (2,4) (2, 2) (-2,0)…

A: