For all n E N prove that 1 3 2n – 1 1 - 2 4 2n V2n + 1

Q: Find the value of f(x)= |3x| -2 at x =5

A: Given function is fx=3x-2. We have to find the value of fx at x=5. Substitute x=5 in fx=3x-2 and fur...

Q: 3. f(t) = e2t cos 3t u(t) %3D

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Q: Consider the sequences 3 7 Which 13; 5 8 of these statements is correct? A. The sequence converges t...

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Q: 4. (-1-i)-(-3 – 4i)

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Q: ne series for an ev

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Q: From a group of 30 patients receiving a standard chemotherapy treatment for lymphoma, 5 can be chose...

A: As per the question, 5 people has to be chosen out of 30 patients.

Q: x´+ bx +90

A: The discriminant, D,  of the quadratic equation: ax2+bx+c=0 is calculated using the formula: D=b2-4a...

Q: For the following system to be consistent, 3x+ 6y-4z = -3 41x+50y+kz =-44 %3D 8x+ 8y-2z = -8 ve must...

A: Using the matrix notation, the systems of the equation can be expressed in the form AX=B. The soluti...

Q: In the following game, identify how many subgames there are. Then, solve the game to find its subgam...

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Q: Shre y"-2tanG) =Seclx) yco)=1; y(6)-1

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Q: 1 2 2 5 3 2 If M = and N = find (i) M + 5 7

A:   Note: We will answer the first question only as the exact one is not specified. Please resubmit th...

Q: A jar contains 4 white marbles, 6 orange marbles, 3 yellow marbles, and 2 black marbles. If a marble...

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Q: Give a power series Cnx" such that it is =1 convergent if |x| 1 of x = -1.

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Q: Consider the differential equation бу" + 7у" + 5у' — 8у %3D 4u" + би' — Зи Find the input matrix of ...

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Q: For any n e N, let Bn = (n, 0). {Bn}=1 is descending. Show that N Bn = 4. n=1

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Q: In the context of ordinary least square (OLS): Given mịn- ||Y – Xß||? Use derivatives to derive the ...

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Q: If n>1 prove the sum %3D is not an integer. 1无

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Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family...

Q: 1. Evaluate [3(4-14) + (j3)(4+/4)]tan (4-61) 2. Express sin40 and cos40 in terms of powers of sin 0 ...

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Q: 3. i3 =

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Q: Solve the Schlömilch's integral equation 4. u(r sin t) dt, -T SIST. 1+x =

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Q: Examnple: Determine the Gersgorin disks for the matrix 4 1 A = 2 2 -2 0 10

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Q: Exercise 5. Suppose v is a nonzero vector. Show that any vector w can be written as w = av+ u where ...

A: This is a problem of vector space, vector algebra.

Q: set of integers is denoted by Z

A: There is some standard notation for certain types of sets . Set of real numbers is denoted by R, rat...

Q: How much must be deposited today into the following account in order to have a $105,000 college fund...

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Q: Find the dimension of the rectangle of maximum area that can be inscribed in the ellipse (b^2)(x^2)+...

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Q: Use technology to maximize the following. You may round answers to 2 decimal places if desired. Maxi...

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Q: Find all æ E R that solve this equation: 123 = x · (2x · (3x – 3) – 2) + 100 + 20+3 -

A: The given equation is: 123=x·2x·3x-3-2+100+20+3       ...............(1)We have to solve the given e...

Q: Suppose that a, b, c € R are all nonzero. Find a QR-decomposition for Га 0 а] 0 c A = 0 b b а 0 0 if...

A: Consider the matrix A=a0a0cc0bba00, a,b,c∈ℝ and a,b,c≠0 with the vectors a1=a,0,0,aT,a2=0,c,b,0T, a3...

Q: suppose that the half-life of a cesium in 30 years.if there were initially 1000g of the substance.( ...

A: The radioactive decay is modelled using the formula: N(t)=N0e-kt, where N0 is the initial amount and...

Q: The characteristic of Z5[x]/ 3 5 O O C

A: Introduction: The characteristics of a field is either 0 or prime. Suppose, a polynomial fx is given...

Q: -dx- Which of the following statements is TRUE? x+x2 Given the improper integral * The integral conv...

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Q: Let x, y ER. Ifx<y with x and y very close to each other. Then which of the following statements is ...

A: Given x &lt; y

Q: How to find the TIME in compound interest with the use of linear interpolation?

A: Let P be the fixed principal and R be the fixed rate of interest. Let t be the time taken for compou...

Q: 3. Let w = f(z) = 5z² – 12z + 3 + 2i a. Determine u and v b. Calculate f (3 – 4i)

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Q: Let f(z)=∑∞n= 0  cn(z - z0)n be a power series with radius of convergence p. Show that for all r < p...

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Q: It takes three hours for a pipe to fill a tank of water if the tank does not leak. However, the tank...

A: Given that: Time requires to fill the tank if the tank does not leak = 3 hours Time requires to dra...

Q: The main point of this exercise is to use Green's Theorem to deduce a special case of the change of ...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Let V = R" be the real vector space that is spanned by {e1,..., en}. For each 1 <r<n let Vr Span(e1,...

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Q: Given that a, =3 and if a is even; Sa -1 if a is odd. Then tern number four, i.e., a, is

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Q: Problem 9: Suppose A is a 5 x 3 matrix and there exists a 3 x 5 matrix C such that CA = I3. Suppose ...

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Q: Exercise 6. Show that the vectors u = (1,2,3), uz = (-1, –1,1) in R³ are perpendicular. Find a nonze...

A: This is a problem of vector Algebra, vector space.

Q: U. Caiculate) () Determine if the following complex functions are analytic or not analytic. a. f(z) ...

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Q: 3. let A be a 3x3 matrix and Auppose that A + 2a,- 30z=0, where a,, a,and az are the Colums of the m...

A: System of Linear equations and non singularity

Q: 1. Sequence Consider the sequence {an}neN where an = 2" – 3". (a) Write the first five terms of the ...

A: according to Bartleby policy we can do only first question.

Q: An account with an initial balance of 1500 earns 7% interest for 1.5 years. What is the ending balan...

A:   Given:   Initial Amount P = 1500   Interest rate r = 7%   Time = 1.5 years   Find ending balance A...

Q: 44 Solve the following problem for x(t): *+12x +40x 3 sin 51 x(0) = (C

A: Introduction: A differential equation is an equation that consists of a function and one or more der...

Q: Assignment: A. Tell if the given words represents a positive or a negative 1. Right of 8 2. Increase...

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit t...

Q: X^2+1=0

A: To Solve- x2 + 1 = 0

Q: Find a path that describes the position of a particle whose r-coordinate is always increasing, that ...

A: Given: The x-coordinate of a particle is always increasing. The particle moves along a line segment ...