Prove whether diverges and state which the following reries converges you or theore test use to prove:

Q: Let x, x2, ....X10 be distinct Boolean random variables that are inputs into some logical circuit.…

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Q: . (1 + j3)z² + (5 + j6)z +7 – j6 = 0

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: Given the data in the table which shows the flow of electric current at different time t. To…

Q: (ii) Show that for Joel to save $ 10 000 after 5 years, he must earn interest at a rater determined…

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Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

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Q: Exercise 3.5.15 For n> 2, consider Z, as a group under addition (mod n) and let T denote the…

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: Area of region bounded by curves y=f(x) and y=g(x) . If f form upper boundary and g form lower…

Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: According to the given question, create an example to show the area between two curves and how to…

Q: please re

A: Given: Function g(x,y)=cos(πxy)+1log3(x-y). To find: a) The value of ∂2g∂y∂x              b)…

Q: x - 2 and ao = 0, bo For f(x) Apply the bisection method and calculate bz (right endpoint after 2…

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Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: Are the following series conditionally convergent, ab- solutely convergent, or divergent? Show all…

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Q: Clarify that f :R → R defined by f (x)= 1 is uniformly continuous. 1+x?

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Q: Integrate the following using the basic rules of integration and substitution 1. fx2 +5x3-x-³ dx

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 1.) csc23ßsin3ß dß csc2 3ßsin3ß cos3ß 2.) S sin²a(seca)-5 da

A: To evaluate the given integral.

Q: Suppose f : A → B is an injective function, and {A;};e1 is a partition of A. Prove that {F (A;)};er…

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Q: Find the solution set of 2x + 6y – 4z = 12. a. (6, 0, 0) b. (8, 0, 1) c. (12 – 6s + 2t, s, t) d. (6…

A: The given equation is 2x+6y-4z=12 Since, there is only one equation and three variables then we will…

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx/T) + log3(r – y)* Do as indicated. 1.…

A: Given data The function g defined by g(x,y)=cosπxy+1log3x-y

Q: Solve each nonhomogeneous 2 3 1. 3 2

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Q: Instruction: Create 1 example problem about Area Region Bounded by Different curves. Write the…

A: Task: We need to create some example problems about the area of the region bounded by different…

Q: How many degrees apart are the roots of (-2+j)i from each other? O none of the choices O 90 45 30 65

A: Solution:-

Q: 1.y" — у' — 2у 3D 7sinh3t — Зcosh3t ; У (0) 3 2, y'(0) = 4

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Q: 43 m 20 m A tunnel is in the shape of a parabola. The maximum height is 43 m and it is 20 m wide at…

A: Solution:

Q: Find the local maximums, local minimums, and saddle points of the function f(x, y) = 2e4y-x²-y-. You…

A: critical point ( maximum ,minimum or saddle point ) of a function occur accordingly           fx (…

Q: dr = 83 8= gravitational force 1. %3D dt in m/sec2 when t = 1, v= 4.

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

Q: Find the eigenvalues A1 < A2 < d3 and corresponding eigenvectors of the matrix -4 0 -7 A = 9. 3 The…

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Q: (c) Use de Moivre's formula to write down a formula for all of the n-th roots of z = rexp(ie). In…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. x = u…

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Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

Q: 4. Let f:A-→R and g:B–→R where f(A) CB. Explain to prove that if f is continuous at Ce A and g is…

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Q: d’u Find solutions u, =F,(x)G,(1) of corresponding to zero initial velocity and satisfying boundary…

A: Consider the given differential equation, ∂2u∂t2=-c2∂4u∂x4      ⋯1 Let us consider that…

Q: Consider the differentia equationy"+y=0. By using power series solution about the ordinary point 0…

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Q: IV. Suppose z is a function of x and y, and tan yy² + x² = z*e6y. Solve for dz dz and

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Q: dy y cos x+sin y +y Solve the following 1. dx 0. %D sin x+x cos y+x differntail equation

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Q: A relief worker needs to divide 540 bottles of water and 144 cans of food into boxes that each…

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Q: x³ + x – 1 ;dx J x(x – 1)(x + 5)²

A: Here i have applied all the required formulas. No other formula is required to solve it.

Q: cot x csc x - 1 csc x + 1 cot x L.S. R.S.

A: We have to prove that cot xcsc x+1=csc x-1cot x.

Q: Show that the determinant gives a group homomorphism det: GL(n,R)->R*, where R*=R-{0} under…

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Q: Use the form of the recursive sequence and matrices to determine the closed formula for the…

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Q: 15. Let T : P, -→ P, be defined by T(a, + a,x+ a,x²) = (5a, + 6a1 + 2a,) %3D - (a, + 8a,)x + (a, –…

A: Follow the steps.

Q: Find the radius of convergence, R, of the series. 00 (x+3)" 3n In(n) n = 2 R =3 Find the interval,…

A: The solution is given as

Q: Show that the function f defined by 1, (1, y) = (0,0) %3D f(r, y) = {1 +y (1, y) # (0,0) I+y is not…

A: The given function is f(x,y)=1 if (x,y)=(0,0)x2+yx+y if (x,y)≠(0,0) First we will show that the…

Q: A company produces 4 different types of cookies. a) How many different boxes with 10 cookies is…

A: Follow the steps.

Q: [3 Given: A = 12 Find [ (BA)-1]-1 [-3/5 С. 4/5 a. 1/5 -1/10]

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Q: Graph the following polynomial function. Find all the stationary points. Use the second derivative…

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Q: f (A, B , C) = (AB(C + BD) + ĀB)C

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Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

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Q: . Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³.

A: (2)  Given data curve is  f(x,y)=7x-8y+2xy-x2+y3.............(1) then fx=7+2y-2x    &amp;…

Q: Consider the function g defined by 1 g(x, y) cos (Tx/y) + loga (x – y)

A: Given: Function g(x,y)=cos(πxy)+1log3(x-y) To find: The value of ∂2g∂y∂x. As per the policy…

Q: test the convergehce and divergene ni+2"

A: Convergence or divergence of the series