Let y = 185 || 3 and u = Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2 orthogonal to u. 2 H ||

Q: Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3) such…

A:

Q: a b Consider M₂ (R) {[%d) | a, b, c, d = R с X Y (a) Show that I = { [ + ² ] | x₁yER} is a subring…

A:

Q: find √x² ds along the line of intersection of the two planes X-Y+z = 0 and x+y+ 2z =0, From origin…

A:

Q: where C is the curve r(t) = (sin(t), cos(t), sin(2t)), 0 ≤ t ≤ 2

A: Given C is the curve                        r(t)=sin(t), cos(t), sin(2t), 0≤t≤2π and…

Q: 711 was encoded with matrix A. Decode

A: Given: The encoded message "22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1" and the matrix A=1213.…

Q: Determine the Fourier Series of f(x) = x², over the interval - < x < and has period 2 O! f(x) = […

A: We have to find the Fourier series of the given function.

Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A:

Q: e moves along line segments from the origin to th F(x, y, z)=z²1+ 3xyj + 2y²k. work done.

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: Solve the given differential equation. All solutions should be found. (10y⁹ + 2x³y) dx − (9xy³ + x²)…

A:

Q: 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3. 2) + 1, 1.4), te R.…

A: According to guidelines we solve one question.thanku

Q: If r is real and w complex, what is (w-r)(conjugate of w-r) equal to?

A:

Q: Determine the Fourier Series of the function below: * π - X 0<x<T f(x) = { 0 π < x < 2π, and has…

A:

Q: Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height…

A: Solution:-

Q: 1) There is no initial energy stored in this circuit i(0) = 0. Find i₁ (t) for t> 0. 8.4 H 10 H 336…

A: Solution:  options (i) is correct

Q: 12. Z z²+1

A:

Q: (4) Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf…

A: This question from real analysis. This is from set theory.

Q: Show that the line of intersection of the planes x +y-z = -12 and 2x + 4y - 3z = -8 is perpendicular…

A:

Q: Show that the substitution = e, y = e converts the equation +y2 ди Әu +y +x дх2 ду2 да into the…

A:

Q: Consider F = {a+b√2: a, b = Q}, equipped with the usual addition "+" and multiplication 29.99 as…

A:

Q: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given conditions are met,…

A:

Q: 8) Consider the oriented curve C given by C=C₁U C2, where C₁: y = x³, and C₂: y = x², as shown in…

A:

Q: -1 [wcose+ssine` s²+w² a. sin (wt + 0) b. sin (t + 0) c. cos (wt + 0) d. cos (t + 0) L-1 }, w & 0…

A:

Q: Use the figure below to answer the following question(s). B AQ ›C AQ B D DO C G E F Graph 1 Graph 2…

A: When there exists a path that traverses each edge exactly once such that the path begins and ends at…

Q: Why is (subtracting two positive numbers that are each less than 1), less than or equal to (1 minus…

A: Since r and s are both between 0 and 1  Then 1-r is positive and also 1+s is positive  Now , take…

Q: 1. Use the power series 1 (-1)-1-1, x + 1 n=1 to find a power series, centered at 0, of the…

A: We have to find the power series of given function.

Q: Typewritten for an upvote

A: Let, x is any real number and A is subset of R.

Q: 1. (8 points) Let x, y ER" be given. ||||||y||= (a) If 1 and 2 y = 1, show that a = y. (b) If | ≤ 1…

A:

Q: Check for convergence / divergence. Find the limit if convergence. 3n²-5n+1 2n +7 0 {a}= (a.} =…

A:

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A: Radius increase at constant rate of 3ft/s . Hence radius after t second is given by  r(t)= 3t. Area…

Q: Find

A: We find surface area of given region.

Q: 2. Evaluate 2y"+3y'-2y=te-2t ,y(0)=0, y'(0)=-2 1 y(0) 125 A) y(1) 25 (96e2+96e-2-10te-2-2²-2) -2t…

A:

Q: Consider the points A(2, -1, 3), B(7,0, 5) and C(0, 1, 7), and the line with symmetric equations…

A: We will use vector properties and equations of line and plane to solve all part  Note : I have…

Q: Find the volume of the wedge cut from the cylinder x 2 +y 2 =9x 2+y 2 =9 by the planes z=0and z=y…

A: Solution :

Q: 1)Determine whether the Fourier series of the following functions converge uniformly or not.  f(x)…

A:

Q: ppose that the only information we have about a function fis that f(1) = -7 and the graph of its…

A: In this question, the concept of Linear Approximation is applied. Linear Approximation fa+h=fa+hf'a

Q: Solve the given differential equation. All solutions should be found. dy e³x + 7y = e dx NOTE: Use c…

A:

Q: 1 2. Σn=10"+ 5n · (Comparison Test)

A: We will use comparison test for series.

Q: Determine whether the following is a semigroup, monoid, or a group. 1. G=Z, a*b = a + ab 2. G=2Z,…

A:

Q: 2. L{sin² = nt} 7² a. S³+π²s π² b. 772 2s3-2π²s π² C. 772 2s3+2π²s π² d. S³-π²S

A:

Q: Compute the Cayley table and find a familiar isomorphic group of G/N where G is a group and N is any…

A:

Q: The appropriate Fourier series for f(x) = {1: { 1, -π< x < 0 0≤x≤ T

A:

Q: Find all horizontal and vertical asymptotes of the curve of 3ex+2e=x f(x) = 2ex-5e-x Show all your…

A: A line y=L is said to be the horizontal asymptote of the curve y=f(x) if  limx→−∞f(x)=L or…

Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A:

Q: e function below has at least one ratio se this fact to find all zeros of the funct g(x)= 10x³ - 33x…

A: The rational zeros of the function is to be determined. gx=10x3-33x2+8x+3

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²3x² and the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Let xbe inner Product x+y Lx_y

A:

Q: (xth

A: Here in the given problem, we have to calculate (x+h)3 this can be done by applying direct identity…

Q: 14.a Is the function a. EVEN b. ODD f(x) -1, 1, -π< x < 0 0≤x<T

A:

Q: 33. An equation that is frequently used to model the population growth of cancer cells in a tumor is…

A:

Q: 1. Find the general solution of dy dx + y = x

A: