Simplify the following with out cesing + cеsingtue deного inator 5 3+i

Q: Example 2 Let A = [aij], B = [bj] be two nx n matrices in Mnxn with inner product (A, B) = tr (ATB)…

A: Given A = 1011 ,  B = 0200

Q: convergence. a. Σ Ξ (-1)"x2n b.00 3"

A: Ratio Test for convergence of a series . Series ∑an is convergent if limn→∞an+1an<1

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A:

Q: Q4: Write down the absolute and incremental X and Y coordinates of the points shown in below figure…

A:

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: The given matrix is: A=-300010-180-2 Reduce the matrix to identity matrix form by performing…

Q: Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric…

A:

Q: Given the following matrices A and B, find an invertible matrix U such that UA = B: You can resize a…

A:

Q: A pond contains 2740 L of pure water and an uknown amount of an undesirable chemical. Water…

A:

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 3 Given integral is ∫121s2ds. The given integral can be written as ∫121x2dx. We have to estimate the…

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" -…

A: We have given a differential equation ,  t2y'' - 4ty' + 6y = 0   ,  t > 0 We have given a one…

Q: (b) Prove or disprove: If A and B are compact sets, then AB is compact. Q(3) Let g(x): (R,|) →…

A: Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Let C be the code given by the matrix 0 1 1 Suppose x = (11010) and y = (10110)t are received.…

A: If G is a matrix, it generates the codewords of a linear code C by {\displaystyle w=sG} where w is…

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with density…

A:

Q: A. Find the volume of the solid generated by revolving the region that is bounded y = x + 3 and the…

A: by Washer Method we know  Volume of a solid generated by revolving the region bounded by y=f(x)…

Q: 2. Find the volume of the solid bounded above by the cone z = √² + y² and below by the circular…

A: Introduction: The volume of a solid that is bounded by three dimensional curves is determined…

Q: Here is a circle with center O and points A and B on the circle. Angle AOB measures 7 radians. Mark…

A: As per company guidelines we are allowed to solve maximum three sub-parts so i am solving first…

Q: 3): Find the tangent equation to the curve y sin² x at point x =

A: According to the guidelines I am answering only first question. B) We have to find the equation of…

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is fals statement,…

A: given statements 5. A cat is a fish. If a  cat is a fish then the piranha is a mammal. Hence the…

Q: Let Z = In X - y dz Find and dx dz dy

A: I have given the answer in the next step. Hope you understand that

Q: Find the equation of the least-squares regression line ý and the linear correlation coefficient r…

A: Sol:- Straight line equation is y=a+bx.The normal equations are ∑y=an+b∑x∑xy=a∑x+b∑x2The values are…

Q: Consider the following. B = {(0, -1, -2), (4, 1, 2), (12, 3, 7)}, B' = {(-3, -2, -6), (2, 1, 3), (2,…

A:

Q: Calculate F dV where F = 2i+2z j+ yk and V is a space bounded by z = 0, z = 4 2 2 and x² + y² = 9.

A:

Q: Use elementary row operations to evaluate the given determinant. (1, 7, −3; 1, 3, 1; 4, 8, 1)

A:

Q: Consider a spring-mass system described by the initial value problem y" +0.25y' + 2y = 2 cos(wt),…

A:

Q: Suppose, and no are the smallest of two positive integers so that 300x is a perfect square and 300y…

A: The given problem is to find the values of x and y and sum of value of x+y for which smallest…

Q: Write a polynomial f(x) that satisfies the given conditions. Express the polynomial with the lowest…

A: The required polynomial has zeros 5-9i and 0 with multiplicity 4. Find the required polynomial…

Q: sider the Tayl and natural ra how much wi output gap as c lor rule first a

A: From the Taylor Rule, the Federal Reserve should increase rates if inflation exceeds the desired…

Q: Q3 (A): By using "L' Hopital rules"; Find the limits of: (1) lim, al 1-00 *24² (2) Lim, x³(tan¹x-x)

A: L'Hospital Rule : According to L'Hospital Rule,if we have an undetermined form of 00 or ∞∞, then we…

Q: sent that by a positiv ntity N(0) is 2.

A: Given as, dNdt=?N0=?

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: nd the unit vector 3i - 4j+ 5k perpendicular to the vectors: 4i + 5j-6k

A: Let the given vectors be  u→=3i-4j+5kv→=4i+5j-6k we have to find the unit vector perpendicular to…

Q: Let X be a normed space. (a) If E₁ is open in X and E₂ C X, then E₁ + E₂ is open in X. Proof: (a)…

A: It is given that X be a normed space, E1 is open in X and E2 be any subset of X. We have to explain…

Q: what is the terminal velocity? 5 meters/second How long before the object reaches 90% of terminal…

A: As you have mentioned we have to answer 'last few unanswered parts' We already have v(t)=50-50e-0.2t…

Q: An insurance policy sells for $1200. Based on past data, an average of 1 in 100 policyholders will…

A:

Q: Volume of the function g(x, y)=√64-x²-y² over the semicircle bounded by x² + y² ≤ 64, x≥0. 2-

A:

Q: Solution by Diagonalization: In Problem below, find the general solution of the given system. X'

A:

Q: Solve the initial value problem y" — 5y' — 36y = 0, y(0) = a, y'(0) = −32. - Find a so that the…

A: given initial value problem y''-5y'-36y=0y(0)=α, y'(0)=-32

Q: ..Σn n=1 n²e-n³ determine if each of the following series is convergent or divergent: 2. ∞ n=1 n+ 1…

A:

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

A:

Q: It can be helpful to classify a differential equation, so that we can predict the techniques that…

A:

Q: Solution by Diagonalization: In Problem below, find the general solution of the given system: X'

A:

Q: Using laplace transform, solve the following differential equation. ( u is the unit step function)

A: Introduction: Laplace transformation is a very efficient tool to solve an initial value problem.…

Q: . Matrix A=(a)nxn is called strictly diagonally dominant, if |au|> Σ |a₁|, i=1,2,...,n. j=1, j*i…

A: As per the question we have to prove that if a matrix A is strictly diagonally dominant then it must…

Q: Find Maclaurian series for f(x)=ex and e-0.2

A:

Q: Q4/ For the function f(x) = x¹-4x³ + 10. answer the following: a. What are the critical points off?…

A:

Q: هیمی ۷۰ ولاد V CoS0

A: Introduction: The trigonometric functions in mathematics are real functions that connect the…

Q: Find the solution gt) of the initial value problem ry-2y²=ty+18t², y(1)=3, t>1.

A: Use the following formulae, to obtain the solution.…

Q: Convert the given i-system to an e-system using slack variables. Then construct a table of all basic…

A: We find correct answer by adding slack variable.

Q: A linear transformation T : R 2 → R 2 first reflects points through the x2-axis and then reflects…

A:

Q: 1. Στ n=1 n²e-n³ determine if each of the following series is convergent or divergent: 2. ∞ n=1 n+ 1…

A: