Find the sum Σ Yn, if it exists. n=1

Q: H.W. Solve the fallowing first order DE.

A: Introduction: Integration will be used in some steps to solve a differential equation, both general…

Q: 3. Graph g(x) = 3x² – e*; –1<x < 2 and then use Solver to find the zero(s) of g(x) correct up to six…

A: g(x)=3x2-exTo Find: Graph the function and use solver to find the zero(s)of g(x).

Q: 3. Graph g(x) = 3x² – e*; –1 <x < 2 and then use Solver to find the zero(s) of g(x) correct up to…

A: Given g(x) = 3x2 - ex ; -1&lt;= X &lt;= 2 We have to find the zeros.

Q: 2) Using the Lagrange remainder, which of the following gives the (lowest) upper bound on the error…

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Q: 2. M is at -2 and N is at 14. Find the point X so that X partitions M to N in a 3:1 ratio.

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Q: The sum of the first p,q.r tems of an A.P. are a,b,c respectively. b Show that (4 -r)+…

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Q: II. Solve each of the given LDE of order n. 2. y/®) –4y5) +3y/) =-27

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Q: This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is…

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Q: If Pn is the sum of a G.P. upto n terms (n > 3) such that (1 – r) dP, aPn-1+ bPn, where r is the…

A: Introduction :

Q: Q6. Assume the cost of each basic operation is 2 millisecond. Then, the estimated running time of…

A: In (a&lt;b), there is one "less than(&lt;)" operation which needs 2 ms.  In ((c+5) &gt;= d), there…

Q: Find the number in {x E R: – 5 <x<1} such that the sum of thrice the number and its square is a…

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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: Factor 112x? 280x + 147 x + x + Hint: If the Jeading torm is pogativo th e acf is

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Q: Question # 4 Consider a circular table with N > 4 seats. Chris and Sarah are two of N th at ests to…

A: Given a circular table with N seats (N ≥4). Chris and Sarah are two among the N dinner guests,Let us…

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

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Q: Fund the Picard Iterates Yo- for the following enitial Value Problem assume that ylo) = 2

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Q: Let ƒ(x) = (x - 2)^(2/3). a. Does ƒ′(2) exist? b. Show that the only local extreme value of ƒ occurs…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: S find L-1 cot-12 k

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Q: Which Riemann sum represents the illustration shown? AY 32 24 16 8 4 4 0 12 2x,2 i=1 3 Ο 1 Σ2X i=0…

A: Reimann sum

Q: d. The distance a freely falling body covers in the nth second is given by S(n)=d(n)-d(n-1). Show…

A: We know distance traveled by a freezing falling body in n seconds is given by  dn = 1/2(gn2)

Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

Q: 3. Find the sum of all values of k such that 2k k -dx =15. (A) 3 (B) 2 (C) 1 (D) 0 (E) 1/2

A: ∫12kx-kx2dx=15∫12kxdx-∫12kkx2dx=15∫12kxdx-k∫12kx-2dx=15x2212k-kx-2+1-2+112k=15x2212k-kx-1-112k=15x22…

Q: Find positive numbers x And y satisfying the equation xy=14 such that the sum 2x+y is as small as…

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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: Consider the following problem: A box with an open top is to be constructed from a square piece of…

A: Pictures will be something like this with red portion being cut Height of the cube or cuboid will be…

Q: Find the value of the summation. E (2 – 3) = k= 0 of

A: We can find the summation value as below.

Q: If the inequality 1 - <1- sin [æ³y³[ < P ) |z*y*| for all æ and y. Then, find the lìm(z,9)→(0,0) 2…

A: We will use Squeeze theorem in the given problem.

Q: Perform the following as indicated. Show your complete solution to earn maximum marks If (x + yi) /i…

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Q: 1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

A: To find the sum of the given finite series. Note that: ∑i=1n1=n∑i=1ni=n(n+1)2∑i=1ni2=n(n+1)(2n+1)6

Q: Solve for a below. 81 45° a

A: Given,

Q: Find the length of segment NL. N x-8 x- 5 4 K L. 0 4 15 O19 3.

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Q: II. Solve each of the given LDE of order n. 1. (D° – 4D³ +3D³ )y =-27

A: First we find complementary function then find particular integral.

Q: Home Work 1. By using (For -End) loop find the summation of the next equation for n=2 and 15. 3×4*-1…

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Q: On a particularly artistic fruit stall, a pile of oranges is arranged to form a truncated square…

A: Given:

Q: If your friends know d others in the group on average and at least one person knows at least one…

A: Given : If your friends d others in a group on average  and at least one person knows at least one…

Q: Find the value of the summation. 7 > sin(rk) = k=0

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Q: (a) Find the largest number & such that if |x - 1| < 8, then 14x - 4| < ɛ, where ɛ = 0.5. %3D (b)…

A: The solution of two parts are given in the next steps.

Q: Solve the following covering problem. NOTE: Clearly identify the initial Lower Bounds, the…

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Q: Use the error bound to find the smallest value of N for which Error(SN) s 10-9. 4/3 dx N = 304

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Q: ind positive numbers x and y satisfying the equation xy=21 such that the sum 3x+y is as small as…

A: GIVEN DATA : Positive number x &amp; y satisfying equation xy=21 and the sum 3x+y is small.…

Q: Find the value of the summations 2 3 ΣΣ 2i+ 3j) i =0j 0

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Q: Q1. Show that the following PDE au du + B əx + Cu = D A ду can be transformed to a simple PDE of the…

A: Solution: The given PDE is A∂u∂x+B∂u∂y+Cu=D Subtract A∂u∂x from both sides…

Q: es Fahrenheit, for Alaska, can nth of the year (January = 1, Fe %3D uns in relation to this problem.…

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Q: We know that the following equation has three real solutions. -2.x3 - 3r2 +x = -1 (a) Approximate…

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Q: B. For the Pearson coefficient r, find sum((L - X) * (L2 - Y)/(24 * S * T) | and store this as R

A: Given, Age(X) BMI(Y) 25 30.5 42 34.3 26 23.1 42 34.7 58 39.2 32 30 24 37.6 21…

Q: n n Compute (V3 +i) + ( V3 -

A: We apply De Moiver’s theorem.

Q: I. Solve each of the given LDE of order n. (D^5-5D^3)y=4

A: If roots of the Auxiliary equation are m1,m2,...,mn unequal and real , then complementary function…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: We can find the mosquito population in 17days as below

Q: numbers

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