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Q: Let V be a K-vector space and U1, U2, U3 three sub-vector spaces of V. Show that: dim(U1) + dim(U2) ...

A: first of all we must know about the dimension of the vector space.what is the dimension of the vecto...

Q: Q3 المطلوب ایجاد حل المعادلة التفاضلية التالية باستخدام تحويلات لابلاس: y" - 3y' + 2y = 4e2x, where ...

A: Given that  The differential equation  y''-3y'+2y=4e^(2x)

Q: Numerical analysis

A: Given data: x 1 2 3 5 f(x) 0 7 26 124 x0=1;  f(x0)=0x1=2;  f(x1)=7x2=3;  f(x2)=26x3=5;  f(x3...

Q: Solve the following ODE by Ralston’s method.

A: Given: y'(t) =y-y2t+t3   where 1<t<2and the initial condition y(1)=2  with h=0.5The iteration ...

Q: Given f(x) = 2x +1 and g (x) =x*+2x-1, find (f + g) (x).

A:

Q: Find all of the unknown sides and angles of the triangles below using the Law of Cosines and Law of ...

A: The sine rule is,For finding sides,asinA=bsinB =csinC,and for finding angles,sinAa=sinBb=sinCc ,a,b,...

Q: Calculate S3, S4, and S, and then find the sum for the telescoping series (뿌뿌)3- 1 S = n+1 n+2 n=8 w...

A: We have to simply the sum first.

Q: Q3:- Find The Matrix Inversion [A-] By Using The Adjoint Matrix? [3 0 2 IF A = 2 0 -2 lo 1 1

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

Q: Q1) (a) Investigate the stability of the origin of the system 21 = 12, t2 = 13, İ3 = 11 - 12 - 2r3 (...

A: To find - Investigate the stability of the origin of the system x1˙ = x2 , x2˙ = x3, x3˙ = x1 - x2 ...

Q: / If A(1,23=1), B(3)6-7), C(233,-3),D(34-3), Cal culate the angle between the vector Projection of Á...

A: If vector a→ is projected on vector b→ the the formula of vector projection will be                 ...

Q: College Geometry

A: Note: As per our guidelines we are supposed to answer only 1️⃣ question. Kindly repost other questio...

Q: Let z0 = co + iyo 7 0 be a given complex number. Define the sequence (zn),>o recursively by 1 Zn+1 n...

A:

Q: 3 2 . B = 3 and C =-1 For the Matrices A= 1 4 Find: (AT.B)+ 2 C

A: Given that, We have to find, Then we get, AT=1-32140 AT·B=1-32140·236-1=2-183+34+66-18+012-0=-1661...

Q: ху + х Q1:-Using Euler method to find y (2) using h=0.5 for y': y(0) =

A:

Q: me the graph to find a d>0 such that for all x, 0</x-xo<d-Iftx)- L<e. <E. 1) y= 2x2 f(x) = 2x2 xo = ...

A: Given,for all x,    0&lt;x-x0&lt;δ, f(x)-L&lt;ε.                                           y=2x2x0=2...

Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and ,x=-2 and x=5? ...

A: To find the required area, divide the region into three parts and then add the area of the three sub...

Q: Numerical analysis

A: The iteration formula for Adam-Moulton predictor-corrector method is yi+1=yi+3h2fti,yi-h2fti-1,yi-1+...

Q: What is the new balance in the savings account if the previous balance was $120.25, interest was $1....

A: See the attachment

Q: Explain the determine green

A: The given equation is,                       z(k,l)+2z(k-1,l-1)=l ....................(i) let k-l=m

Q: Construct a truth table for the statement. -t +(-ta s)

A: Given statement is: ~t→~t∧s We have to construct the truth table for this statement.

Q: Numerical analysis

A: Take the given matrix  A = 122212221 Non diagonal element which has highest value is 2 Common elemen...

Q: Q3:- Find The Matrix Inversion [A-1] By Using The Adjoint Matrix? [3 0 IF A = 2 0 -2 lo 1 2 ? 1 Q4:-...

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

Q: q1

A: Here the solution is by Heun's method (Improved Euler's method) is as follows :

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe t...

A: Based on previous evidence,you believe the population standarddeviation is approximately σ=72.1 and ...

Q: Solve Q14, 15 &amp; 16 showing clearly all steps involved

A: 14) If (x+1) is a factor of a polynomial , then x=-1is a root of the polynomial As (x+1) is a common...

Q: Find the root of system of equations using Newton Method (x – 4)² + (y – 4)² = 5 ř + y? = 16 (take t...

A: Consider the given equation. x-42+y-42=5                 1x2+y2=16               2 Simplify the equa...

Q: What is the inductive reasons of 80,70,61,53,46,40,?

A: Consider the sequence 80, 70, 61, 53, 46, 40, ? To find: ?, ext number of the sequence Comparing wit...

Q: For the given points X, = 1, x, = 1.5, x, = 2.5 and x, = 3. Find Lagrange Interpolation polynomial f...

A: We have to find out Polynomial using given values and function.

Q: Evaluate the following integral using the Trapezoidal rule with n =10 and h = 0.2

A: According to the trapezoidal rule, the definite integral of a function fx over the interval a,b can ...

Q: Which one of the following differential equations is NOT linear? .A dy xy² = In(x) dx - .B dy tan(x)...

A: Option (A) is correct.

Q: Numerical analysis

A: For the given differential equation, Let dydx=fx,y Therefore, fx,y=x+y

Q: SHORT ANSWER 10 What happens to the value of the expression x as positive x-values approach zero? An...

A:

Q: Let A = a) Find all matrices B e M2(C) which commute with A. b) Find all matrices B e M2(C) for whic...

A: We know that  two matrices X &amp; Y commute if  X Y=Y X We are given matrix A. We have to find all ...

Q: Find dy/ux of the following 1)lf y = 1/ (1-u) and u = 1/ (1+x)

A: Given y=11-u and u=11+x

Q: Theoremi' The Ratio Test Let 2 an be aseries with positive terms andl suppose that Lim antl P. Then ...

A: We have to prove Ratio Test in that we compare given series with geometric series. 

Q: Show that general solution of the second-order difference equation: ya+2 - Gyk+1 + 8yk = 2+ 3.k – 5....

A: Solve the second-order difference equation:                      yk+2-6yk+1+8yk=2+3k2-5.3k Find the ...

Q: Q4/ Determine the fifth roots of 2 – j5 in polar coordinates.

A: Suppose, given complex number is represented by z i.e.  z=2-5j                                      ...

Q: Determino whefuer Continuous are O fra) = x-4 x-2

A: Since the denominator is zero at x = 2. So the function is not defined at x = 2.

Q: In the Euclidean 3-dimensional space with a fixed cartesian system, consider the circle C:x +y + z- ...

A: The general equation of a circle in 3 dimensional is given by: x-h2+y-k2+z-p2=r2 Here h,k,p is the c...

Q: Evaluate the following integral using the Simpson’s rules with n =10 and h = 0.2

A: Simpson's rule of approximation is as follows: ∫abf(x) dx≈∆x3fx0+4fx1+2fx2+4fx3+...+fxnwhere ∆x=b-an...

Q: Solve the following inequalities 1. x? > x³ 2. - 21 2 4. x – 1| < |x – 2| 5. x +1< ]x| Solve the fo...

A: Here, I am solving inequality 1. Given, 1) x2&gt;x3      

Q: Need some help to solve this KenKen Puzzle. Thanks

A: KenKen problem is solved as       3                       2   1     3 3 1        ...

Q: find the Laplace Transform.  1. (t-1)4 2. e-2t-5

A: Use Basic Formulae in Laplace Transform to find result by following way. 

Q: H.W. (1): Use simple fixed-point iteration to locate the root of x- sin(x) = 0.25 Starting with an i...

A:

Q: 4. The diagram shows the radius of the circular opening of a metal soup can. 3 in Soup Which of the ...

A: given radius is                                      r = 3 inch = 7.62cm area of circular opening   ...

Q: Solve Q34, 35 &amp; 36 Showing detailly all steps

A: 34. S=∑r=1∞13r-1S=131-1+132-1+133-1+.........+13r-1+.......S=130+131+132+...............S=1+13+132+....

Q: Ex: Two lines (y=1 a-d y-x1), Sind the equation of the linc that passes through the itersection poin...

A: If a line is y=mx+c , then mis the slope Angle between two lines is given by tanθ = ±m2-m11+m1m2 The...

Q: Q::Let S1 and S2are two subrings of a ring (R, +,.), prove that S, U S2 is subring of R iff either S...

A: 1 Let S1 and S2be two subrings of R,+,.. First suppose that either  S1⊆S2 or S2⊆S1 we will prove S1∪...

Q: A couple has $25,000 in their retirement savings today. How many years do they have to save at 6%, p...

A: Fixed amout that he have in starting = 25000 Let for x years he invest so, amount taken on 25000 aft...

Q: Q3:- Find The Matrix Inversion [A-] By Using The Adjoint Matrix? [3 0 IF A= 2 0 -2 lo 1 2 ? 1

A: Hello thanks for your question but according to our policy I am answering the very first question. P...