3. Find an orthonormal basis of eigenvectors of B. 1 -2 3 2 6 -6 1 2 -1 B = .

Q: Given that sin (0) = - state the value(s) of in radians, correct to three decimals, such that…

A: Given, sin(θ) = -15 ;   12π≤θ≤52π   We have to find the values of θ in radians.

Q: Which of the following statement is true for the function f(x) = x³ - 12x. Select one: Of is…

A: A function is given. The correct option regarding the derivatives and the critical points of the…

Q: Question 3. Two biologists make two different estimates of how many fish live in a small lake.…

A: In the experiment done on the fish population of the lake on Monday 20 fishes are caught and tagged…

Q: If a and b are nonzero real numbers and t be a real variable, compute for the integrals J I₁ = eat…

A: Computation of integrals and comparison of real and imaginary part

Q: [S7 3. Let y is a function defined as y(s)={ $8:s is student ID, s₁: ith digit}. [Sg] [6] For…

A: We pre multiply both sides by matrix A,  then we get x.

Q: In this exercise we need to prove that A complement is a subset of A union L, where L is the set of…

A:

Q: 2. (a) Use the method of Laplace transforms to find the solution y(t) of the initial value problem…

A:

Q: Find the missing number so that the equation has infinitely many solutions.…

A: An equation is defined as a mathematical expression they are made of two expressions connected by…

Q: Show that both R and R² may be covered by countably many open balls.

A:

Q: 2 1. Find the principal part of the Laurent series expansion of f(x) = 25(1²-22) at the origin.

A: BINOMIAL EXPANSION FOR  1+Xn  IS GIVEN BY, 1+Xn=1+nX+n(n-1)2X2+n(n-1)(n-2)6X3+........ USING THIS…

Q: -8 -5 -1 6 -4 --- U₁ = -5 -6 -7 -10 1 -18 Compute the distance d from y to the subspace of R4…

A: Given: y=-8-1-5-10, u1=-56-61, u2=0-4-7-18To find: The distance, d from y to the subspace of ℝ4.

Q: o. Evaluate the integral fo+sinz dz, where C is any simple closed contour taken in the positive…

A:

Q: For numbers 1 to 3: The city of Smallville consists of five subdivisions, Mayor Takeda wants to…

A:

Q: Corollary 4.3. Let f(x) € Z[x] and {m₁,...,m} be positive integers such that they are pairwise…

A:

Q: 2. Let C be the circle |z −1 < 2 taken in the positive sense. Evaluate the following integrals:…

A:

Q: The total cost and the total revenue​ (in dollars) for the production and sale of x ski jackets are…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: The function f(t) is defined as follows f(t)=3-2t+t²,0<t<8. Define f (t), an odd periodic extension…

A:

Q: Consider the sets A = {1, 2, 3, 4} and B = {a, b, c, d}, and the relations σ = {(1, b), (2, c), (3,…

A:

Q: Show that both R and R² may be covered by countably many open balls.

A: To show :  Both ℝ and ℝ2 may be covered by countably many open balls.

Q: racters of A5 breifly . Answer should be typeed

A:

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A:

Q: Negative marking applies. Consider the linear operator Pin a 3 dimensional linear vector space with…

A:

Q: 14. When you apply the Chinese Remainder Theorem to solve the system below, you must find the values…

A: Given: System: x≡3 mod 5, x≡2 mod 7, x≡-1 mod 11To find: The three congruences which helped in…

Q: 1.) [D³ + 6D² + 11D +6] (y₂) = 0 2.) [4D³ + 4D²+D](re) = 0 3.) [D5 − 5D² + 7D³ + D² − 8D + 4](x₂) =…

A:

Q: Pythagorus' Theorum Using conventional labelling practices, identify the three sides in this…

A:

Q: (a) Find the distance between the parallel planes                     x+2y-2z+1=0…

A:

Q: Verify that y(x) = xJ 1(x) is a solution to the differential equation xy′′−y′+xy=0, x &gt; 0.

A: Given the differential equation xy''-y'+xy=0 with x&gt;0. To verify whether the yx=xJ1x is a…

Q: Solve the problem. For what values of t is r(t) = cos t i + sin t j + sqrt( 9- t2) k continuous?

A: A vector-valued function r(t) is continuous at t=a if and only if: 1. r(a) is defined. 2. limt→ar(a)…

Q: (a) find the Minimum of x 18 W q +4 (3) If lage (a+b) + lega(c+d) 29 for xeR 24 21 them find the…

A:

Q: Using Fermat's little theorem, determine the remainder of Ć 734171 modulo 13

A:

Q: Prove that for any a, b E R and a <b, ((a, b), ) is not well-ordered, where (a, b) is an open…

A:

Q: State the first minimum and maximum point to the right of the y- axis of the given function: y = 5…

A:

Q: ow many conjugacy A5 have ? Define characters of A5 breifly .

A:

Q: Let C' be the contour |z − 1| < 1. Evaluate the integral (2-1)5 dz. e²z

A:

Q: Show that a set A in ℝ2 is open in the Euclidean metric ⇔ it is open in the max metric. Hint: As…

A: Euclidean metric dEuc((a,b),(p,q))=√((a-p)2+(b-q)2) Maximum metric  dmax((a,b),(p,q))=max{|a-p| ,…

Q: Determine the best and complete answer for the following. Simplify all your answers. If possible,…

A:

Q: Problem Solving Activity DIRECTIONS: Given the following I.Q. scores of 50 students to a company,…

A: The IQ scores of 50 students of a company are given by 100, 99, 106, 86, 104, 113, 103, 98, 105, 95,…

Q: If a , b , c be in GP and log_c(a), Log_b(c) and Log_a(b) be in      AP , the find the common…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: 7 Determine whether the set {1, x, x²} is linearly dependent or in- dependent in R (Justify your…

A:

Q: Q.1 Given a vector v: R² R², v = (x + x3, 12}. Find it's covariant deriva- tives if ₁ and ₂ are the…

A: Given : A vector v : ℝ2 → ℝ2 , v = x12 + x22 , x1x2 , x1 and x2 are the plane polar coordinates.…

Q: The inverse Laplace transform £¯¹{: L is equal to -3s +36 s²+36 *-^{- = − 3sin(6t)+6cos(6t). -3s +36…

A:

Q: Find the amount of the payment to be made into a sinking fund so that enough will be present to…

A:

Q: imitregaz nom-Mangott let na libe be my and 1(n) be function, we have EA (d) = logn din

A:

Q: ind the Minimum q लं +4 of छेवू for xeR

A:

Q: P... 144 £(+).m... 7 t -3 for 3 to... far as £ 3. 4 (+) $ -t t 2P=6 ……………….………………. *****

A: The given function is: ft=-tfor -3&lt;t&lt;0tfor 0&lt;t&lt;3 We have to find the Fourier series of…

Q: Use the noise terms phenomenon to solve the following Fredholm integral equation CT (2) 171 6. u(x)…

A:

Q: Use the cos(x+y) formula and unit circle angles to find the exact value if cos(105)

A: We know that                Cos(x+y)=Cos(x)Cos(y)-sin(x)sin(y) Here we have to find exact value of…

Q: If OABC is a tetrahedron where O is the origin and A, B and C are the other three vertices with…

A:

Q: 3.) [D5 — 5Dª + 7D³ + D² − 8D + 4](x₁) = 0 4.) [D² - 4D +7] (yx) = 0 5.) [Dª + 2D³ + 10D²](yx) = 0

A:

Q: Suppose an ellipsoid is described by the equation + 16 9 4 volume of the ellipsoid on the first…

A: