Find two natural numbers n and m with n, m>26 and gcd⁡(n,m)=26. Then, for the numbers n and m you found, find integers x and y with xn+ym=26.

Q: Find a and b which make the following function differentiable at x = 0; ax+b, x < 0 sin x, f(x) = =…

A: We know a function is differentiable if and only if Right hand derivative and left hand derivative…

Q: Question: What does the following quantity represent? S²(1 – r²) A: The proportion of the variation…

A: Given: Quantity : Sy2(1-r2)To find: What does the above quantity represent?

Q: 1. Consider the following three domains in the space: {(x,y,z) E R³:1 ≤|x+y+z<4}, {(x,y,z) € R³ : 2…

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Q: E16) Show that (Q, +) is not finitely generated. E16) Suppose (Q,+) is finitely generated, say…

A: Consider  l=lcmb1,b2,...bn now 1l+1∈Q therefore  1l+1=k1a1b1+k2a2b2+...+knanbn

Q: 2- If L(x, y) = ax + by2 is a Lyapunov function at the origin for the system * = y + x³, y = -x +…

A: According to guidelines we have to solve only one question.

Q: the K-map below, the minterms for the fo Cm(1,6 .). 3,4 01 11 10

A: Given sequence F(z,y,x) hence after  Solving k- map  F(z,y,x)=sum of products m(3,4) Because zy'x'=4…

Q: Solve the following system of equations using the Gauss elimination method: 4x-3y+2z=16…

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Q: Task 8 Let (X, ||- ||x), (Y, || · ||y) be Banach spaces. Show that is a Banach space. (L(X,Y), ||·…

A: Given: X, ·X and Y, ·Y are Banach spaces. To show: LX, Y, ·LX, Y is a Banach space.

Q: 1. (10 Points.) Consider the curve (in the plane) formed by: the line segment from (2, 0) to (5,0),…

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Q: Question 3 The numerical series Σ(-1)" (e¹/(n+1) - 1) log n n=1 (A) converges but not absolutely (B)…

A: given numerical series  ∑n=1∞-1ne1n+15-1 logn consider the positive term (i) if the positive term…

Q: 5. Find an unit vector perpendicular to both vectors a(2, -3, 0) and b(0, 1, -2)

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Q: A customer has cargo inbound from the port of Yantian to the port of Los Angeles . The LCL sell ra $…

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Q: A cylindrical homogenous, isotropic rod with insulated sides has the temperature f(x) L/2 ={L-X…

A: Given that, A cylindrical homogenous, isotropic rod with the insulated sides has the temperature,…

Q: given in polar coordinates. (i) Create a table r(0) 0 r(0) r(0) -5m/12 76 r = 5 cos² (0/2), (-= < 0…

A: Given a function is polar coordinates rθ=5cos2θ2 where -π≤θ≤π To create a table for different values…

Q: Consider the matrix mapping A:Rº→R³ where 1 0 4 0 0 2 1 3 1 2 4 0 0 A = 200 2 0 Sub-Task (1). Find a…

A: Given : A=210400022131000240 To Find :(1) basis, dimension of kerA               :(2) basis…

Q: A warehouse tracks inventory using stock codes consisting of a sequence of 5 uppercase letters…

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Q: How many positive integers less than 10000 are there which contain at least one 7 or at least one 9…

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Q: Do the matrices (49) form an LU decomposition of a matrix AER 2x2? If so, what is A₁1? L = and 6 -…

A: Given matrices are: L=1041 and U=36012 We have to check whether the given matrices form the LU…

Q: Use the cipher: f(x) = (x + 10) mod 26,0 ≤ x ≤5 to decrypt "SD SC XYD PKSB".

A: To Use: The cipher: f(x) = (x + 10) mod 26, 0≤x≤25 to decrypt "SD SC XYD PKSB".

Q: Explain why we might sometimes consider explanatory variables in a regression model to be random.

A: Hint: Here we need to write why sometime we use explanatory variables.

Q: Doesn't this solution just ignore the initial height of 3 ft? So shouldn't the answers be slightly…

A: You are right here initial height have to be consider

Q: TU 5.fo cos³ 30 de

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Q: Suppose T: P3-M2,2 is an isomorphism whose action is defined by 3a-3c -b-3c T(ax³ + bx²+cx+d)= -3c+d…

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Q: Write the number 3.0292929292929……as an infinite sum; then use the appropriate formula to write it…

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Q: lim e^(sin(2022n)), as n goes to infinite, should this limit exist or not?

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Q: Use transformations to graph the function. f(x)=-4|x-1| +3

A: Given  f(x)=-4x is basic graphf(x)=-4x-1 shift right for one unitf(x)=-4x-1+3  shift up 3 units…

Q: 3.6.5. Let X be a finite-dimensional vector space, and let B = {₁,..., ed} be a Hamel basis for X…

A: Given :  X be any finite dimensional vector space and  B = e1, e2, ..., ed be a Hamel basis.…

Q: Show that v = A = (7) -29 35 eigenvalue. 35850). " -20 26 is an eigenvector of the matrix and find…

A: To Show: v=74 is an eigenvector of the matrix A=-2935-2026, and find the corresponding eigenvalue.

Q: Verify the Divergence Theorem by evaluating [/F. F. N ds as a surface integral and as a triple…

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Q: I B 14- 13 -15- 127 11. F E Apply the sorted edges algorithm to the graph above. Give your answer as…

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Q: Apply Optimal Runge-Kutta method and y for the problem 3 obtain y, 1₂ and 2 y² = t + 2y y'=t+ Y(^)=1…

A: Given: y'=t+2yy0=1 and h = 0.1 We have to obtain y1, y2, y3 using Runge-Kutta method.

Q: Consider the system of differential equations da dt x(t) = y(t) = dy dt -5y Convert this system to a…

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Q: 6. Prove that in n-dimensional space, symmetric and skew-symmetric tensor have(n+1) and d(n-1)…

A: Given :  n-Dimensional Space            : symmetric tensor and skew- symmetric  To Prove :…

Q: Evaluate П+24 dx

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Q: Draw cobweb diagram for the recurrence relations. Xn 1.5xn-1-2

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Q: Let R be a ring and S be a subring of R with OS, OR being the zero elements in S, R respectively.…

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Q: Find the flux of F across S, [/F. F. N ds where N is the upward unit normal vector to S. F(x, y, z)…

A: Given that: Fx,y,z=xi+yj+zk S:x2+y2+z2=49 To find the flux of F across S.

Q: 7. Compute the second fundamental form.

A: Given: Xu,v=u2-cosv, u+sinv, cosv We have to compute the second fundamental form.

Q: Apply Optimal Runge-Kutta methed and obtain y₁, 1₂ and y² = + + 2y y(a)=1 3 for the problem , h =…

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Q: Find the volume of the solid that lies inside both the cylinder x² + y² = 16 and the sphere x² + y²…

A: Given cylinder and sphere x2+y2=16x2+y2+z2=36 clearly, Here we need to find volume inside both…

Q: 5. The average cost of mini protein bars is between $30 and $60. What is the range of the number of…

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Q: Integrate bath sides of problem y'= f(y) and interpolate f(yrer) ane step method. | Hints y'=f(y)…

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Q: VI. Application: "Ready, Set, Farm!" Direction: Perform calculations needed to complete the given…

A: He has: Goats area=15 m2Chickens area=10 m2Pigs area=18 m2Cows area=22 m2Carabao area=30 m2

Q: Theorem 8.13. Let 0 <q <p<. Iffe L'OL", then fe l' rall q<r<p.

A: It is given that  0 &lt; q &lt; p &lt; ∞  and if f ∈ Lp∩Lq then we have to show that  f ∈ Lr  ∀  q…

Q: ²-6m+9=0 3m 3m +9 = 0 (m-3)-3(m-3)=0 (m-3) (m-3)=0 m-3 = 0 m = 3 m-3 = 0 3 = 3

A: For the given quadratic equation m2-6m+9=0  m=3,3

Q: 20. Given the path, x $ dx + xe dy determine the line integral using Green's theorem if C₁is y = x²…

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Q: If (an) is a sequence converging to L, with an 20 for all n, prove that L≥ 0 and that (√an)1…

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Q: What is the characteristic equation of the matrix (10 5) ² ? 3 (Give the characteristic equation in…

A: Characteristics equation of the matrix

Q: Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check…

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Q: Apply Laplace Transformation for the “function of sinh(at).”

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