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Q: Calculate the sum of the series: 1 + 4 1 1 + 12 1 + 20 + ... 16 A. С. 1 D. doesn't exist B.

A: We have series , 14 + 18 + 112 +  116 + 120 + ...... This series can be written as , ∑n=1∞14n First ...

Q: )8 درجة( 1(ليكن لدينا المصفوفات التالية: 1 5 2] -1 0 1 2 4] 01 A =|-1 2 3 D = ; - [1 4 21 •B = [3 l3...

A: Multipart :   We have ,  A = 30-1211 , B = 142315 , C = 152-101324 , D = 3-10-2 (a) We need to find ...

Q: Eguation: Answer: 21

A: Cosine angles in a right angle triangle,

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Q: 2 Find renk (A) and a besis for column spsce S̟CA) , ) row space Sp(A), and null space NA) 2 -13 A =...

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Q: Question 2 If F 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = –1. Calculate: a) F×G a...

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e¬t ...

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Q: Q4. Given the data points 3 ソーf(x) 7 11 28 Use Lagrange's Method to determine y at x-1, also find x ...

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Q: 21. Let A be the set of all strings of O's, l's, and 2's of length 4. Define a relation R on A as fo...

A: Given- Let A be the set of all strings of 0's, 1's, and 2's of length 4. Define a relation R on A as...

Q: Given the initial conditions x(pi/2)=0 and x'(pi/2)=1 Being the ODE: x''+ x = 0 and its family of so...

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Q: a) parent: y = x5 transformation: y = 2(-x + 4)5 – 1

A: Solution

Q: what

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Q: dx dx a) ["te*dt b) " - dx. х? —1 c) L dx 1+x? Jo 9-x? (x-2)% 3(4)5/3

A: We have to check given improper integral is convergent or divergent.

Q: Question 1 (a) Is the operator P(y) = y/ + 2ty linear? (Show workings) (b) Find the null space of th...

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: Problem 2 Use Comparison tests to determine whether the following integrals are convergent or diverg...

A: Comparison test:    Solution a: Given integral is ∫2∞x3x4-1dx Let f(x)=x3x4-1 and let g(x)=x3x4=1x  

Q: Question 1 Use the modulus-argument form re® to find the cube roots of -8 and sketch them on the com...

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: Show that the solution u(t, x) of the initial value problem du +ar-; du t > 0, x € R at u(0, x) = f(...

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t'4 – 1) Determine th...

A: We Know, v(t) = dxdt ,a(t) = dvdt   Given that, v(t) = t1.4-1cos3t     and x = -3 when t= 3To find x...

Q: | 4 2 0 1 -3 |0 0 -2 3

A: We find all eigenvalues of this matrix.

Q: b. the sum of the first 55 is, compute 2k=1 ak• 5. Use polynomial fitting to find a closed formula f...

A: Introduction: A sequence is a set of functions that maps from the set of natural numbers to the set ...

Q: Find the sum of the Fourier series of the function Ax) = e -1<x51 at x = -1 OA 3 O B. 3 OC. 3-e O D....

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Q: Given x+ y +z=5 and Po(2,1,2), find the following. (a) Find the equation for the tangent plane at th...

A: The complete solution is in given below

Q: The managers of a pension fund have invested $1.5 million in U.S. government certificates of deposit...

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Q: Use the Laplace transform to find the solution of the ODE y" + 4y = f(t), y(0) = 0, y(0) = 0, where ...

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Q: Given the function f(x)=nx° +(x- g)'1/2 1- Find the Taylor series expansion for the given function a...

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Q: 44m Answer:

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Q: 3. The forces in three members of a framework are F,, F2 and F2. They are related by the simultaneou...

A: For better understanding, we use x, y and z at place of F1, F2 and F3, respectively. (a).

Q: ye-(²²+y²+z²). Find all points (x, y, z) such that Vf(x, Y, z) = Question 2. Consider the function f...

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Q: + 2r3 + 24 + 7r3 + 3r4 314 5 + 22 + 3r2 211 4 + 12 + 213 = 1

A: The given equations are 2x1+x2+2x3+x4=54x1+3x2+7x3+3x4=8-8x1-x2-x3+3x4=46x1+x2+2x3-x4=1 We shall fin...

Q: a) Is a positive or negative? Explain. b) Is b greater than or less than 1? Explain. c) Is the graph...

A: (a) Since the given graph is above the x-axis implies that a is positive. (b) b is greater than 1 be...

Q: the box that minimize the amount of material used. st, find a formula for the surface area of the bo...

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

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Q: Show that [x, p;] = iħ.

A: note :  As per our company guidelines we are supposed to answer ?️only one question. Kindly repost o...

Q: Use the table to find the probabilities that a person's total charges during the period are the foll...

A: Solution:-

Q: The Hausdorff dimension of {z ER : |æ| = 4} is d. Answer: = P

A: Hausdorff dimension of the given set is d=5.

Q: (7) What is the value of the series Σ 2 Tn + 1)2"+1 -? Justify your answer. n=0

A: Solution is below.

Q: Show that [0, o0) and [1, o0) are isometric.

A: We need to show that ,  [0 , ∞)  and  [1 , ∞) are isometric. We know that two metric spaces X and Y ...

Q: 282 -35 - 2 Y(s) z(1 + s)s

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Q: y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0

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Q: y' + v = e2t y(0) = 0

A: Given the IVP y'+y=e2t....(1) with the initial condition: y0=0...(2) We shall solve the differential...

Q: Find the absolute extrema (max and min) of the function f(x) = ex 2−4 on [ -1,2]

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Q: Question 1 (a) Express the following in real-imaginary form: 2i(1 – i) + (V3 + 1)° + (1 + i)(I+,i). ...

A: As per the policy of bartleby the provisions is to solve only 3 subparts of questions 

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? What is the smallest posi...

A: It is given that p and q are prime numbers. Assume that gcdp, q=d. Then, d is the greatest common di...

Q: I Graph the functions in Exercises. of the function on the interval and say where they occur. . Then...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 5. Let A E Mat3×2(R) be as below: 1 1 A -2 3 3 9 and let LA : R2 → R³ be the associated linear trans...

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Q: rd. 17. Show that every decimal palindromic integer with an even number of digits is divisible by 11...

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Q: 4. Find all the distinct values of (1 – i)5/4, then plot the results on an Argand diagram. |

A: Find the values of 1-i54 and plot the points on an Argand diagram. Find the polar form of the comple...

Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. - 2. Calculate the Laplace transform L{12e¬t...

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Q: t ® denote the convolution operator. If f (t) = 10cos (2t) and g (t) = 3sin (2t), calculate (fog) (t...

A: In this question, the concept of convolution is applied. The convolution operator of ft and gt is gi...

Q: Prove that a subset of a countable set is countable. Give example using real number

A: