33. Find the sum of the following arithmetic series. Σ(8i +3) i=1 A. 726 B. 4,587 C. 561 D. 2,538

Q: (51) Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we…

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Q: Q3:- (4) Solve the following differential equation: y³ −3y¹ +3y″ − y" = x² 1 (B) Find the inverse…

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Q: 2. Suppose that z is a function of and y, and F(x2 - y², ry - 2², yz - ²) = 0. Calculate and (Hint:…

A: Solution :

Q: = e-t et + 2e²t e2t-3et - е

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Q: 22. Which of the following integers are the possible one's digits of a fourth power of any 0, 1, 5…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: PART#C Use the divergence theorem to calculate the flux of the vector field P(x, y, a)-ar+…

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Q: quizzes? 68, 55, 70, 62, 71, 58, 81, 82, 63, 79 a. 68 b. 71 C. 69

A: Given,        68, 55, 70, 62, 71, 58, 81, 82, 63, 79

Q: Determine whether the given linear operator/matrix is diagonalizable. (a) T: R³ → R³ with T(1, 1, 1)…

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Q: TRUE or FALSE: 1. If g = (a, b) and a = gc, then (c, b) = 1 2. If (p, q) = 1 and (q, r) = 1, then…

A: GCD is the greatest common divisor of two or more numbers is the greatest common factor number that…

Q: 2. Solve the following partial differential equation au/2 = ²4/ 0x² du at u(0,t)=0. u(10,t)=100…

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Q: Solve the following equations y" - 4y + 4y = 8x² + 4x y" - 2y - 3y = sin 2x

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Q: 2n+1 in² (n+1)² 00 Q:- (A) Find the sum of the following series : n=1

A: Given series is ,                 ∑n=1∞2n+1n2(n+1)2 We find sum of the given series .

Q: 1.4.5 Given that λ = 1 is a three-times repeated eigenvalue of the matrix -3 -7 -5] A = 4 2 2 2 1 3…

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Q: Find the general and Singular Solution of the following differential equation ·P² 21 (41

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Q: 02 2 1 0 -1 23 -2 1 3 -3 1 2 is row equivalent to the matrix D = 1 0 -1 -3 01 1 2 00 1 00 The matrix…

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Q: Solve the approximate root of f(x) = x^5 - 3 using Newton's Method with initial value of x=10.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider a system with the following state-space representation X(t) = [₁]x(t) + B₂Ju What values of…

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Q: Consider the recurrence relation an = -an-1 +12an-2 with first two terms ao = 1 and a₁ = 20. a.…

A: given an=-an-1+12an-2 and a0=1, a1=20…

Q: Determine whether the set {P1, P2, P3} is linearly independent in P2, where p₁ = 2+x+3x² + 4x³, p₂ =…

A: Let V be a vector space . let v1,v2.....vn ∈V are linearly independent iff c1a1+c2a2+...+cnan=0…

Q: Q2. Find the convergence interval and radius of the series: √n (2x+5)* nal

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Q: Express the following propositions in symbols, where p,,r and s are as follow: p: Neil is a big…

A: Since you have posted a multi subparts question according to guildlines I will solve first…

Q: During a steady right turn, a person exerts the forces shown on the steering wheel. Note that each…

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Q: 20.What is the value of n such that (24  is congruent to 58 mod n) ? a.13 b.17 c.-34 d.-13

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 7. Study the Venn diagram below and then answer the following questions: 15 B A 9 4 8 300 7 5 2 1 10…

A: Only D and E asked and answered.

Q: ter. What can we say about this incidence? *

A: We need to check whether the given situation happens or not.

Q: If A = B = C = are the coordinates of a triangle, compute: A C length of AC length of AB B units…

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Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤ b, 0≤z≤ 1, find the one for…

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Q: 4. A circle is divided into 10 equal parts to form a spinner. It is numbered as shown in the figure.…

A: A circle is divided into 10 equal parts to form a spinner. It is numbered as shown in the figure.…

Q: 11. For the sequence: 7, 11, 15, ... a. Find the value of the 31st term, T31 b. Find the recursive…

A: The given sequence is 7,11,15,... The sequence is Arithmetic sequence The first term a = 7 the…

Q: 5. Solve the system by using the matrix exponential 0 1 0 *-[2] + [2]· --[] x' = x x(1) = -3t 3

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Q: onfiguration sh

A: The dual configuration diagram is given as,

Q: Solve by simple substitution. 1. xy²(xdy + ydx) = (xy-2)dy

A: We have to solve given differential Equation.

Q: Consider the sequence -11, -6, -1, 4, ..., 5n — 1. a. How many terms are there in the sequence? b.…

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Q: TRUE or FALSE: 1. If a is congruent to b (mod m), then a^k is congruent to bk (mod m) for every…

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Q: 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D= -3 3 9 2 6 8 W NW 3

A: Given matrix  D =98427-9346-3238932 The co-factor of 6 in matrix D =-1i+j 842-934932 Here i=3 and…

Q: Let A be a 2 x 2 diagonalizable matrix. 3et+ ecit If is the solution to the system ở' (t) = Ax(t),…

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Q: Solve the differential equation below using series methods. (3 + x)y'' + (1 + 4x)y' + (3 − x)y = 0,…

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Q: A Use the divergence theorem to calculate the flux of the vector field F(x, y, a) + (2y-3e³)3+ 7ak…

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Q: 1. 3.) Simplify. Write "undefined" for expressions that are undefined. 5 -3 6 BB: 3 5 -5 -3 0

A: Here the given matrices are  -155-5 and -36-30. To find the product of the two matrices.

Q: points in a certain category, enter NONE.) x³y" + 5x²y + 2y = 0 regular singular points X NONE…

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Q: The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: Direction of particle depends on sign of its velocity

Q: 1. Solve the equations below using Doolittle's Decomposition method 4 -2 -3 X1 1.1 12 4 -10 X2 0 -…

A: The given problem is to find the solution for the given system of linear equations in matrix form…

Q: Just like in a projective plane, two distinct lines always intersect on the spherical plane.

A: Straight lines in spherical plane are the great circles. So, any two different lines meets at two…

Q: 2. 3. NOR A NAND A OR A AND A NOT A NOT A NOT B NOT B NOR A NOT C NOT C MAND B NAND A

A: Theory: OR gate: A OR B ⇒ A+B AND gate A AND B ⇒A.B NOT gate NOT A ⇒A' NOR gate: A NOR B ⇒ (A+B)'…

Q: 4 What is the inverse of F(x) = 4x-12? |a₁ y = ₁17-12 b.y = = (x+12) (₁y ==—=— (x+12) d.y= = 7…

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Q: 1.What is the GCF of 16,  -24,  and – 40 2.The product of two numbers is 2700. If their GCF is 15,…

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Q: 4. Find (a) Fourier Sine Series, and (b) Fourier Cosine series for the func- tion f(x) = sin(x),…

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Q: Question 1: Doing 2 DFTs in one go Consider two length N vectors with real numbers in them-a, y ERN.…

A: Here, C,X and Y be the DFT of c,x, and y.

Q: Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we will…

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Q: Use the above to solve the following system of differential equations: 31= x1+2x2 3/2 = 2x1 + x2

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