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Q: 2- Find the general solution of the second order non-homogeneous linear equation: y" – 7y' + 12y = 1...

A: The given second order differential equation is y''-7y'+12y=10 sin t+12t+5. Find the general solutio...

Q: The number line is divided into thirds and sixths. The point on the number line shows which pair of ...

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Q: how can i solve this problem

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Q: Find the local maxima and local minima of the function S: [-2,2] → R defined by S(t) = e' (1+ t?). S...

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other questi...

Q: Find the volume of the solid below The solid S whose base is the region R enclosed by the curve y = ...

A: Given curve is, y=-x-22+1 and the x-axis. So, -x-22+1=0x-2=±1x=1,3

Q: Show that the two drawing represent the same graph by labeling the vertices and edges of the right-h...

A: In the first graph, there are 7 vertices and 9 edges.  Similarly in the second graph also there are ...

Q: 1) What advantages or disadvantages can we have when working with homomorphisms and ring isomorphism...

A: Explanation : A group homomorphism from (G, ∗) to (H, ·) is a function ,  h : G → H , {\displaystyl...

Q: Herb sells apples from his family's farm at the Farmer's Market on the weekends. His revenue is affe...

A: From the graph, we can clearly see revenue is affected by the price that charges per dozen of apples...

Q: Approximate the following integrals using the Trapezoidal rule.   Find a bound for the error using t...

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want...

Q: a Show that the set of vectors of the form a +b forms a subspace of R³. Find a 2а — b basis for this...

A: Consider two vectors of the given form a=a1,a1+b1,2a1+b1 and b=  a2,a2+b2,2a2+b2 Let α∈ℝ Then αa+b=α...

Q: need help with these

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will ans...

Q: Next we must find the base of the whole triangle. Lets first find the base of one of the right trian...

A: Given:

Q: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information on the r...

A: Given: n(A∩B)=5​,    n(A∩B∩C)=3​,    n(B∩C)=9​,    n(B−A)=8​,    n(B∪C)=19​,    n(A∩C)=6​,    n(A∪...

Q: Please explain your solution:

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Q: What is the summation of the ordinates which is intersecting with y-axis of the singular solution of...

A: Given- y=xp2-2+p+1

Q: Exercise B Use the theorem on saddle-node bifurcations from the lecture' to show that i = sin(r) sin...

A: Given that                     x˙=sinrsinx+cosx-er  ⋯⋯⋯⋯⋯ (1) To show (1 ) has a saddle-node bifurca...

Q: The question is to shade the regions representing the set. I do not understand- could you please ex...

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Q: Mrs. Wilson borrowed $5,760 from a bank at 8.25% per annum simple interest for 9 months. Evaluate: ...

A: As no specific question is mentioned, hence I am solving first two. 1) Given Principle(P) = $5760 Ra...

Q: Approximate the following integrals using the Trapezoidal rule.   Find a bound for the error using t...

A: BY TRAPEZOIDAL RULE : The function is fx=2x2-4. The value of h , h=b-aN=0.35-05=0.07 The value of x ...

Q: Q1. Verify Stokes' theorem if F is the vector field as below function and S is the portion of the pa...

A: let F=4yi^-xj^+2z3k^ be the vector field ans S is the portion of paraboloid z=3+x2+y2 bounded by pla...

Q: (a) Use the fact that 5x? - y? = c is a one-parameter family of solutions of the differential equati...

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Q: In this problem, y = ce* + ce* is a two-parameter family of solutions of the second-order DE y-y = 0...

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Q: 2x3 - 4x2 - 5x + 23     this is the result of a polynomial division.                        x + 2 ma...

A: The given result of the polynomial division is- 2x3-4x2-5x+23x+2 Comparing it with the form- Dividen...

Q: 4. The graph of f'(x), the derivative of a function f(x), is shown at right. Which of the following ...

A: f(x) is continous at x=a f(x) is also differentiable as f'(x) exists at x=a ; Since f'(a) is not  0 ...

Q: Please write all details and I would greatly appreciate it.

A: Consider  a hemispherical surface of radius R centered at the origin as shown in figure. The hemisph...

Q: Consider the subset ℚ(sqrt3) = {a + b : a, b ∈ ℚ} of ℝ. Show that ℚ (sqrt3) is a subgroup of ℝ under...

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Q: One sample has a mean of M = 10 and a second sample has a mean of M = 20. The two samples are combin...

A: Given: mean of one sample M = 10, mean of second sample M = 20. For part 1: To find the mean for the...

Q: 5D

A: Integration 

Q: Write in sigma notation

A: Given below the detailed solution

Q: हल कीजिए: -12x > 30, जब (i) x एक प्राकृत संख्या है। हल कीजिए: 5x-3 2, जब (i) x एक पूर्णांक

A: i -12x > 30-1212x>3012-x > 52x<-52

Q: Chris calls a friend to get help with solving the 2-step inequalities on his math homework. Which in...

A: Given inequality is -2x-15≤45.  

Q: Linear Algebra Question

A: A set S is said to be a subspace of a vector space V if it satisfies the following properties: For ...

Q: is the minimnurm step of the horno gone ous n What X+ xt 2-X ifferential equatian with its solution ...

A: The objective is to find y=x2e-x+x3+x2what is the minimum step of the homogenous differential equati...

Q: Solve for X Using box x5 - 3x4 +3x -5x+12=D0

A: Here, equation is x5-3x4-5x2+3x+12=0

Q: 19. In Figure 1, which has greater displacement? * A Girl Boy Figure 1

A: Given

Q: Q1. Solve the following:(i) 4 − x ≤ 13(ii) 2(x − 6) + 3x ≤ 8(iii) (iii)x2+x3= 5     Q2. Factorise co...

A: Q1) Solving i,ii,iii: i) 4-x≤134-x≤13-x≤13-4-x≤9x≥-9ii)2(x-6)+3x≤82(x-6)+3x≤82x-12+3x≤85x-12≤85x≤8+1...

Q: Let F(x, y) = (e + 8y)i+ 5xj. Evaluate the integral / F. dr, where C is the boundary of the region R...

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Q: Only solve  Question no.2 (note: written foam).

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Q: To use the Paired Comparison Method evaluate which employee is better in “Quality of work” and which...

A: Given table for the trait quality of work is: As compared to  A B C D E A   + + - - B -   - -...

Q: x € [0,2] n Q1 x € [0,2|\QS Find upper and lower Reimann integral for T(x) =

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Q: Expressing One value as a fraction of another given their ratio and vice versa. Write a ratio for ea...

A: Expressing One value as a fraction of another given their ratio and vice versa three ways are word f...

Q: Evaluate the definite intagral  from  3 to 0   4(t^5-t^3+1)dt

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Q: Alice wants to send to all her friends, including Bob, a message using the RSA cryptosystem. She cho...

A: The secret primes are p=17,  q=29 Compute n=pq=(17)29=493 Compute ϕn, which is known as Euler's toti...

Q: Please provide typed answer. Thank you.

A:

Q: Hi can you please help me. ASAP

A: Given, y'=2t+e-ty, y0=1, h=0.1, t=0.1, 0.2, 0.3, 0.4 By using, fourth order R-K method k1=hfx0,y0=0....

Q: Bonus Problem: Evaluate | y'dx + xydy where C is the boundary of the region bounded by y = Vx,y =0, ...

A: We have to evaluate ∫Cy2dx+xydy, where C is the boundary of the region bounded by y=x, y=0 and x=9 D...

Q: Two hundred ten balloons are filled for reception this is 70 percent of the entire number of balloon...

A: Given that , Two hundred ten balloons are filled for reception this is 70 percent of the entire numb...

Q: (a) Use the fact that sx? - y - c is a one-parameter family of solutions of the differential equatio...

A: Step:-1 Part (a):- Given that 5x2 -y2=C -----(1) is solution of differential equation ydydx=5x and A...

Q: Q-1-) Eind the general solution of the given Ordinaryx Differential Egauations SYstem: '(t) *(1) whe...

A: Given: The  given equation is x∧'(t)=3-94-3 x∧(t)  where  x∧(t)=x1(t)x2(t)

Q: A toy racecar races along a circular race track that has a radius of 35 meters. The racecar starts a...

A: (a) Given that, a toy racer along a circular race track that has the radius of 35 meters. Obtain the...