If 21ak converges then E,ak, converges for any ak subsequence of ak.

Q: 1 5 Determine the equation of every tangent to the curve y = =x° - 10x that has a slope of 6

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Q: Let 0 = V5 and K = Q(0). Two bases for K over Q are a = {1+0,1+ 0²,1+ 0³, 1 + 0ª} and B = 1+ 0² 0+0³...

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Q: Explain how to find the circumference of a circle with a radius of 4 inches .

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Q: Find the third iteration value of an extremum (maximum/minimum value) of il z F4.png f(x) = In(ax + ...

A: Newton's Raphson Method: Let the equation to be solved is f(x)=0 where f(x) has a first order deriva...

Q: Find an explicit description of Nul A by listing vectors that span the null space. 1 4 -5 0 A = 0 0 ...

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Q: 3. Find the root/s. (Use Bisection Method) F(x) = (x/2)² – sin(x)

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Q: Find 2 x 2 matrices A and B such that det(A + B) det A + det B.

A: We have to find matrices A and B such that det(A + B) ≠ det A + det B

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Prove that the only idempotent elements in an integral domain R with unity are 0 and 1.

A: Proof. Let x ∈ R be idempotent, 

Q: Each marble bag sold by Michael's Marble Company contains 3 blue marbles for every 5 orange marbles....

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Q: Let U = {{x, y, z) E R3|x - 3y + 2z= 0} Find a basis for U. You must explain your method, then deter...

A: Solution :-      The given set is           U = { ( x , y , z ) ;    x - 3y +2z = 0 }   is subspace ...

Q: -3 a 1 f B -9 1 3 is the adjoint matrix of a 3 2 -4 0 then the value of a is

A: Given, B=-3a1-91322-4 B is the adjoint matrix of 3×3 matrix of order A. 

Q: Queston s Show thak the equation Cos xdoct +?) sin xdy =o is not exact obsain an the equeition in pa...

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Q: ermine the odomain the luim U²-64 %3D

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for...

Q: (1+i) a. b.(V2 – t) – i (1 – v2i)

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Q: Find the particular solution

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Q: If G is a group and g E G, the centralizer of g E G, is the set CG(g) := {a E G : ag =ga} that is, i...

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Q: (sin(æ) + 2 cos(y)) dy ^ dz + (zổ – y cos(x)) dz A dæ + 11xyz dx ^ dy. Find dw. dw dx ^ dy ^ dz

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Q: Explain the Pythagorean Theorem, its proofs and applications.

A: The Pythagorean Theorem states, "In a right-angled triangle, the square of the hypotenuse is equal t...

Q: The value of x for Inequality |2x – 5| < 9 is

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Q: |J V10- J-V16 z² - (2² + y² + z²)!/2 Evaluate the integral. 16-z2 16-2 1 dy dz da = /16 z2 16 z (x² ...

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Q: J2017 4. INDICES AND SURDS In this question, all dimensions are in centimetres. +2V5 M -4+6V5 The di...

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Q: MULTIPLE CHOICE) Which of the following statements is(are) true? (A) y = e is a solution of the DE y...

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Q: 2. In your drawer, there are 4 identical pairs of brown socks and 8 identical pairs of green socks. ...

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Q: Let a be a real number. Prove by contrapositive that if a+ 7x = 90, then a < 4.

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Q: nverges 10 2For each of the following Sequenees, select whethec they convergeor diverge; for each th...

A: Introduction: A sequence is a set of functions. The domain of the functions is the set of natural nu...

Q: What is the area, in square feet, of the rectangle shown below? 4 ft 6. ft 4 (A) 27- 20 11 в) 11 20 ...

A: We have to find the area of given rectangle.

Q: Problem 1: In a senior graduating class of Math majors in UC, 42 studied mathematics, 68 studied che...

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Q: What is the percent relative error after the 3rd iteration of calculating the root of f (x) = x – æ ...

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Q: f(x) = 2x2 - x + 6 for all values of x %3D

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Q: Consider the surface 4x? – y? + 2z2 + 4 = 0. a. Find the value(s) of k such that the cross-section o...

A: Introduction: When a surface intersects a plane, there is always a cross-section of the surface and ...

Q: Problem 3: Prove that between every two rational numbers a/b and c/d a) There is a rational number. ...

A: Solution: Part (a) A number p is defined as a rational number, if p can be expressed in the form of ...

Q: = 1 at the poin

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Q: (b) Use the substitution u = x In y to solve the equation (xy + 2ry ln² y + yIn y)dr + (2x² In y +1)...

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Q: 8 24 Let a = and b 26 Is ba linear combination of a and az ? OA. b is not a linear combination. B. Y...

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Q: dz Find given: dt Z = xe?u, x = t³, y = 2 + 2t dz dt Your answer should only involve the variable t

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Q: Use Euler's method with specified step size to determine the solution to the given IVP at the specif...

A: We can solve this using Euler method

Q: Mr. Bagain borrowed P2,000,000 for the expansion of his farm supply business. The effective rate of ...

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Q: 3. Let 2 be an open bounded domain in RN partitioned into 1 and N2 (see figure below). 225 Let fi an...

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate meth...

A: given differential equation 3y'=6yx+3x3cos2yx          i with initial condition y2=0  

Q: Listen On your own paper, construct a truth table showing that (p equivalent to p ^¬q. + q) is logic...

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Q: 13. Evaluate the triple integral: rIny (z) dzdydx A. In4 + 13/6 C. 13/6 – In 4 B. In 13 + 6 ln 4 D. ...

A: To evaluate the given triple integral. 

Q: Find m < VPW. 132 56 3.

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

Q: a.  Determine Isabelle's z-score (to the nearest hundredth) for her English test if she scored an 85...

A: Introduction: A Z-score is a numerical measurement that describes the relationship of a value to the...

Q: Solue the equstion ミy Cuぷ-1)、 (aぶ-1)、

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Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work...

A: If a is directly proportional to b, then it can be written that ab=k.

Q: A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. I...

A: Given that AD is a line segment. The line segment AD contains points B and C such that C is between ...

Q: h table, determine if the compound proposition ¬(r∧s) ↔ (¬s∨¬r) is a tautology, contradiction or con...

A: In this question, the concept of a truth table is applied. Truth Table In logic, a truth table is a ...

Q: Consider the linear system 1001 + 2x2 x3 = 27 æ1 + x2 + 5x3 = -21.5 -3x1 – 6x2 + 2x3 = -61.5 After t...

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Q: What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y"+5y'+3 = 0? %3D

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