lim 3/2 8 x→ 4 x -- 4
Q: Consider the series (In(2n + 1) –- In(2n - 1)). n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does {a,} ...
A: We first check whether the given sequence in (a) is convergent or divergent.If it is not convergent ...
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Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...
A: The given question is related with system of equations. Given that 2x1 + x2 = 12-3x1 ...
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Q: 2" Let an = 100+ and bn 1 for n >1. (n +3)! en en+1 (a) Show that {am} is monotone and bounded below...
A: The main objective is to check the convergence of the sequence and series. As per our guidelines I...
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Q: plz solve it within 30-40 mins I'll give you multiple upvote
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Q: 3) The degneue of Thie Pastension Be (VZ +3/3) over The field &(VE) is (a) I (b) 13 PJs (d) 6
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Q: 9. Let F : R" → R". Prove that for each a the mapping h→ dF[a; h] is linear on R".
A: Given: F:ℝn→ℝm To prove: For each a, the mapping h↦dFa;h is linear on ℝn
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Q: Find the partial differential equation by eliminate the arbitrary constants a,b,c for ax+by+cz=1
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Q: Approximately, what percent of the data is more than the third quartile? 25% 0% 50% 75%
A: what percent of the data is more than the third quartile
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A: Given A=x-3.03.04.0 where x is a real positive number.
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Q: Use the cofactor expansion to compute the following determinant: 10 -9 3 det -5 6 -7= 0 -7 1 -9
A: The given matrix is 10-93-56-7-71-9
Q: 8. Let a be a nilpotent element in a commutative ring R with unity. Show that (a) a = 0 or a is a ze...
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Q: Q3. i) Find the roots of the quadratic equation by using a QUADRATIC FORMULA and comment on the natu...
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Q: Q.2 Evaluate t*e2t
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Q: Construct a truth table for the following compound proposition. (p + q) O (¬p → q)
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Q: 5s2 -4s-7 (s-3)(s²+4)
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Q: 1. Express B= 2i +j-3k as the sum of a vect or purallel to A= 3i - j and a vect or arthogonal to A. ...
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Q: Convos) 32 =0 oR What are the 5 vouts of -32? 5 So lve Z°+ Findall the poots of the fimectin: f(2)= ...
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Q: plz solve it within 30-40 mins I'll give you multiple upvote
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Q: Factor: x^3-12x^2+47x-60=0 when 5 is a root. * O (x-3)(x-4)(x-5)=0 O (x+1)(x-4)(x-5)=0 O (x-3)(x-4)(...
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Q: 3—4х dx =? Vx2+6x+1
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Q: IV. Evaluate these complex fractions 6/30° + j5 – 3 (a) -1+j+2ej45° (15 – j7)(3+ j2)* (b) | (4 + j6)...
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Q: +oo 1 Σ -1-n n=1 WI
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Q: 2. Find the directional derivative of f(x, y, z) = y – Væ² + z² at P(-3,1,4) in the direction of a =...
A: The given problem is to find the directional derivative of the given function at a point P(-3,1,4) i...
Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 - 3x1 = 12 + X...
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Q: e an appropriate test to determine if the series Lnt en 2" converges or diverges. n=1
A: Convergence of the series
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Q: The PCGCC prides itself on its "nouveau" architecture. In particular, one of the reception halls is ...
A: (b)
Q: Use the cofactor expansion to compute | 10 -9 3 det -5 6 -7
A: to find the determinant by cofactor Choose a row or column of matrix. For each coefficient in you...
Q: II. FIND THE RECTANGULAR FORM OF THE FF: 1. 14260° 2. 102305° 3. 42138°
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Q: Let a be a real number. Consider the series an Σ cos(n7); An, where An = 2n + 1 n=0 (a) Is it possib...
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Evaluate the following
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