The coefficients of three consecutive terms in the expansion of (1 + ay" are in the ratiol: 7:42. Find n.

Q: 20. What is the value of the 4th term of the expansion of (y + 2z)°? 16y"z 448y 23 25628

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Q: For this problem, involving a weighted die. assume that all the odd numbers are equally likely, all…

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Q: Without solving the ODE, determine the Wronskian of two ty" - 2t³y - t³y = 0. solutions to the…

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Q: Solve for n if nP, = 6nP,, where P means permutation.

A: Formula of permutation: Prn=n!n-r! We are given that P5n=6×P3n So, using the formula:…

Q: A school with a student population of 5000 has 4495 students uninfected by COVID-19. What is the…

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Q: CONSID ER THE FOLLOWING S ERIES (4x+8) n =0

A: Given the series ∑n=0∞-1n4x+8n4 (a) We have to find the series radius and interval of convergence To…

Q: If n: R → R is the projection onto the first factor, what is n (3.2, e?)? I believe the answer is…

A: If π1:R→R is the projection onto the first factor, then π1x, y=x, ∀x, y∈R.

Q: A culture of bacteria has an initial population of 330 bacteria and doubles every 8 hours. Using the…

A: Given equation is as below: Pt = P0.2tdhere P0=330t=17d=8

Q: Jse three terms of the expansion for v1+x to calculate the value of y1.18

A: Introduction: The expansion of the term (1+x)n is given by, (1+x)n=1+nx+n(n-1)2!x2+...

Q: Use the error bound to find the smallest value of N for which Error(SN)< 10-9. 1 2ea? dx (Give your…

A: Note that error(SN) represents the error bound of  simpson's rule error bound. We know,

Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: Find the fifth term in the expansion (3x + 4y)8 O A 840x*y4. O B. 840x5y3. OC 3360x³y5. O…

A: We will use the formula given below to answer this question.

Q: 6. What is the length of JL? Show complete work!! K M

A: Applying Pythagoras theorum first Then similar triangle property Note- we take corresponding sides…

Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: Find n if P(n+14,2) = 756. Show your steps using the formula for P(n,r). LIca tho aditor to fo

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Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: reedom, why is it n-2? I get n=20, but where did the 2 co

A: Given: coefficient of intercept is 3.402, coefficient of PX is –2.2, coefficient of PY is 1.8…

Q: In ARST, s = 620 cm, r = 210 cm and ZR=17°. Find all possible values of ZS, to the nearest 1oth of a…

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Q: The diagonals of square LMNP intersect at K. Given that LK=1, find m/MKN.

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Q: Given the explicit formula, find the first 5 terms. f(n) = 3"-1 %3D

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Q: Find the first three terms of the expansion (4 – 2x)°. O a. 2°(1 – + + .) O b. 45(1+ 쪽 + 쪽 + ) 5x2 O…

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Q: Find the term independent of x (i.e. whenx in the following expansion : 1, i.e x") and its…

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Q: Use the error bound to find the smallest value of N for which Error(SN) < 10-9. 6 8x4/3 dx (Give…

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Q: A culture of bacteria has an initial population of 620 bacteria and doubles every 2 hours. Using the…

A: Initial population of bacteria was 620. It doubles every 2 hours. We have to calculate the…

Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

Q: The first three terms in the expansion of (1 + ay)^n are 1, 12y, and 68y^2. Find a and n.

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Q: Use the error bound to find the smallest value of N for which Error(SN) < 10-º. 9x4/3 dx (Give your…

A: The given integral is ∫169x43dx. Here fx=9x43  for  1≤x≤6. The errorSN denotes the error bound…

Q: The value of the sum E (- ) is given Zk=4 by: Select one: O a. 3 O b. O c. None of these O d. 1

A: Given :                 ∑k=4∞ 1k-3-1k-1 To find :                      The value of sum of given…

Q: 49" + 16n – 1 divided by 64, Vn E N+ -

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Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: In ALMN, LN is extended through point N to point O, m/NLM = (x – 4)°, mZMNO = (4x – 17)°, and m/LMN…

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Q: Find the fifth term in the expansion (3x+4y)8 A. 840x4y4. В. 840х у3. ,5, C. 3360x³y5. С. D.…

A: Expansion using bionomial theorem

Q: Indicate the formula for the following conditions. p° (n, r) = %3D

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Q: =] Verify n(n + 1)(2n + 1) 6 j=1

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Q: In the expansion of (2r + 1)", the coefficient of the term in x is 40n, where n e positive integers.…

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Q: Find the total number of in H.C.F. of n and 36 is 1.

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Q: Find a positive number x such that the sum of 36x and is as small as possible.

A: We will use basic knowledge of functions, differentiation, and the second term extrema test /…

Q: Find the sum of (arctan(n + 1) – arctan(n)) if exists. Lütfen birini seçin: a. b. 3 2 d. e.0 DOO

A: Given- ∑n=1∞arctann+1-arctann To Find- The sum of the above expression.

Q: Find the fifth term in the expansion (3x +4y)8 O A. 840xªy4. B. 840x°y3. С. 3360х3у5. O D.…

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Q: The pressure P and volume V of an expanding gas are related by the formula PV C, where b and C are…

A: Given information:

Q: B) Find for the folawing fumetion 2. 3.

A: The given function is:  w=x2+y2+z2,    ysinz+zsinx=0. To Find: ∂w∂yx, ∂w∂zx, ∂w∂zy.

Q: The series 3i+ 6i+ 9i+ 12i+... diverges because

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Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

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Q: rce of E = 20sin5t V in series, a resistance of R = 5 and a capacitor C = 0.02 F. If the initial…

A: The circuit equation is E=dqdtR+qC. Here, R is the resistance , C is the capacitance , E is the emf…

Q: Solve the recursion by substitution for  T(n)=2T(n/4)+n2 where T(1) =1

A: To solve by putting T(1)=1

Q: Find The coefficient cof x ard X in The expasion of Ox°-)

A: We have to find the coefficient of x9 and x10 in the expansion of given series.   According to our…

Q: Find the first three terms of the expansion (4 – 2x)°. 4°(1 + 쫄 + 폴 + .) * + +..) Oc 4°(1-쪽 + 폭+ …)…

A: The solution is given as

Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)