If n is a perfect number, prove Σ d|n 1 2.

Q: 3. Let V = e cos(qr), with p = x ln(xyz), q = z cos(лy) and r = 2 tan−¹(y). ᎧᏙ By using the chain…

A:

Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

A:

Q: Find the laplace transform of f(t) = t²e-3t cos 6t OF (s): 28³-1882-1628-591 (s²+6s+45) OF (s) =…

A:

Q: Define a linear operator (transformation) on R2R2 by performing the following operations in order:…

A:

Q: Consider the graphs of f(x) = √√√x + cos x and g(x) = √√x + sin x over 13п the interval 0, . Answer…

A: Equate the expression of fx, gx and simplify to obtain the value of x.…

Q: 9- Give five examples about application of polar coordinates in real life

A: Polar coordinates have various applications namely in  Animation  Computer graphics Civil…

Q: Consider the equation 2x²y" - xy' + (x - 5)y=0 in some interval 0 < x < R. ty that x = 0 is a…

A:

Q: -Solve the following differential equations: 1)+²=x² (Integrating factor).

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find a singular value decomposition of the matri

A: We have to find the singular value decomposition of given matrix.

Q: 12 12 None of the alternatives are correct · (1¹)) = If L <=lim In then f(t) is 042

A:

Q: Batman and Robin caught nine suspects. Their possible crimes were Assault, Bribery, and Homicide.…

A: From given question We can get below statements   Total suspects =9   Possible crimes =3 ( Assault ,…

Q: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

A: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

Q: . Let u₁ = (1, -2, -1), U₂ = (2, 2,-2), and v = = (0, 0, 1). v is not in the subspace W spanned by…

A: In this question, a vector that is orthogonal to a given vector is to be determined. A non-zero…

Q: 3 2t Find the laplace transform of ett²+ e²t (2cos 3t). 16

A:

Q: 33. Find the orthogonal complement of each subspace. (a) W =span {88} 1 0 1 4 5 257 (b) W =col 3 3 6

A:

Q: Question 5. Prove that o(n) = o(n+2) is satisfied by n = 2(2p-1) whenever p and 2p-1 are both odd…

A:

Q: Consider the following bivariate linear regression model y = a + 3x + u. Suppose that Cov(x, u) > 0,…

A:

Q: Solve the following Initial Value Problem using Laplace transform: y" - 8y' + 7y=e-⁹t ;y (0) = 1, y'…

A:

Q: To every eigenvaluebof a sturm liouville system there corresponds only one linearly independent…

A:

Q: 76. If 60% financing is available on a certain income property at a loan constant of 11%, what…

A:

Q: Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing,…

A:

Q: Look for the expectation value of x, , for a-particle-in-a-box, such that: ηπχ (x) = x xsin² dx €1³

A: We will use substitution and integration by parts to find value of integral

Q: Problem 2. If det a1 a2 b₁ b₂ C1 C2 a3 b3 C3) det = 1 4 a₁ b₁ c₁ calculate a2 b2 C2 4a32a2 4b3 - 2b2…

A:

Q: Given the set X = {x € R³ : d(x, a) < r}, where d is the usual metric on R³. 3 The set X C R³ is an…

A: Solution

Q: 1. S 4x+10 (x-2)(x-1)² - dx

A:

Q: Amount of water (in liters) consumed by each household in a communit O Nominal O Ordinal O Interval…

A: 1) amount of water consumed by each household in a community is an interval 2) number of pairs of…

Q: b) Let be a set of integers and T={o}{U,,ne N), on N. Show that whether (N,T) is 1) T₁-spr.ce or not…

A:

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

A: Consider the x-intercept of line as a and y-intercept of the line as b.   The intercept form of the…

Q: Find the number of automobile license plates where: (a) Each plate contains 2 different letters…

A: We have to find number of automobile license plates where each plate contains 2 different letters…

Q: Encode the number using the given public key. Encode the number M = 49 using the public key n = 77…

A: Now we have to find out the encoded number using the RSA cryptosystem. According to RSA crypto…

Q: Consider the parametric curve C given by X= St. y = 5 sin²t where te [0.2] (₁) Determine the values…

A:

Q: Find a finite difference approximation to f"(x) using the points x — x − 2h, x-h, x,x+h,x+2h and…

A:

Q: Solve the differential Equation. y" ty=xsinn, by using variation of parameter methal

A:

Q: Evaluate the integral Sdx using the two-point Gaussian quadrature rule 1+z² -2 2444 O O OOO N|WO…

A: We have to evaluate the integral ∫−2221+x2dx using the two-point Gaussian quadrature rule. Here,…

Q: Let A(1, 2, 1), B(3, 1, 2) and C(2, 1, 2) be points in R³. a) Find the point-normal form of the…

A:

Q: In the discrete topology on the set X, every set is open and it also follows that every set is…

A:

Q: Show that for A and B of n×n order with complex enteries the matric Ab need not be similar to BA ,…

A:

Q: Consider the Kenken Puzzle. What should be the value of x and y? * 2+ 6X 9+ 1 2- y ४ 2+ 1- x = 1; y…

A: We need to solve the Kenken puzzle. We need to have numbers from 1 to 4. Numbers cannot repeat in…

Q: The following 6 by 6 matrix has 4's down its leading diagonal, and -2's down each of the diagonals…

A:

Q: A study on the effect of remediation to the performance of students i mathematics. Descriptive…

A: we can give answer by using definition

Q: 6. a. Solve the differential equation below under the following initial conditions: y (0.5), y (1.0)…

A: Since you have posted a multiple question according to guildlines I will solve first question(a) for…

Q: Assume that p and q are true statements and that r is a false statement. Which " of the following…

A:

Q: lowing data : x- f(x) : f'(x): 1 1 -5 0 1 1 3 7. the value of f(-0.5) from the (Anna B Togh 2005)

A: Given: x f(x) f'(x) -1 1 -5 0 1 1 1 3 7 To find f(-0.5)

Q: Find the quotient of (2√3+2i)(-4+i) 2 (1-√3i)

A: Solution

Q: An item will need replacing in 6 years from now at a cost of P128,000.00. How much should the owner…

A:

Q: Determine the value of angle x in degrees

A: We have to find the value of X.

Q: Find the present value of a $3, 000 annual income stream if it is invested immediately as it is…

A:

Q: Given the set P of all points in a plane, let M denote the set of all permutations of P that…

A: Given : set P of all points in a plane, let M denote the set of all permutations of P that preserves…

Q: Evaluate the integral f 9(√x² + y²) dxdy.

A:

Q: Derive a finite difference approximation to of(x,y) + f(x,y) using the points f(x, y), ƒ (x+h, y),…

A: Here we use taylor series to find this.