6. Determine whether P =< 1,0,5 > and Q = 10,3,2 > are orthogonal vectors.

Q: Using the theorem on determinants, show that a a? b b2 1 |1 A = 1 (b – a)(c – a)(c – b) - C

A: We have to show that A=1aa21bb21cc2=(b-a)(c-a)(c-b) by using the theorem on determinants .

Q: where P =n+p+h is the total population, and a and b are some real numbers (which you do not need to ...

A: We are given the following information. The population has been divided into three categories: covid...

Q: Find the surface area of a cylinder with a base radius of 2 m and a height of 5 m. Write your answer...

A: Given:A cylinder with a base radius of 2 m and a height of 5 m   

Q: 7. Find the inverse of the following linear transformation: [3x + 2y] 5x +3yl

A: 7 Given linear transformation is Txy=3x+2y5x+3y

Q: On July 3, the ABC corporation closed at $43.67. This was a $0.47 increase from the close the day be...

A: Given on July 3 the ABC corporation closed at $43.67. this was a $0.47 increase from the close the d...

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,...

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

A: The given sequence is an=7n2+n+24n2-3

Q: Let S = {(x,y) : x, y € R} = R². Define an equivalence relation on S (i.e. a subset of S × S = R² × ...

A:

Q: 3. Let å1, åz, åz be three nonzero vectors in R2 and let b1, b2, bz be three real numbers. Consider ...

A:

Q: n topulogical manikuld - show that Mis locally compact 6

A: This is a problem of differential geometry.

Q: Use the method of undetermined coefficients to solve the initial value problem. y"+ 4y = 2 + 8ed, y(...

A:

Q: 3. In the following exercises, justify your answers using truth tables. (a) Are PV (Q A R) and (P V ...

A:

Q: Find a rational number that is bigger than 3.14159 but smaller than 3.14159001

A: To find a rational number between to given number.

Q: 15. How many combinations has a 3-digit lock? A. 27 B. 100 C. 300 D. 1000

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: (y – x)dx + (y + x)dy = 0.

A: The given differential equation is ;                      (y-x)dx + (y+x)dy = 0 We have to solve the...

Q: The football coach randomly selected ten players and timed how long each player took to perform a ce...

A:

Q: The Fourier series for the function f(x) = x, -T < x < T is sin nx E(-1)"-1; n n=1 a) Sketch the gra...

A: Given the Fourier series s1=∑n=1∞-1n-1cosnxn2=π2-3x212,-π&lt;x&lt;π. s2=∑n=1∞-1n-1sinnxn2=xπ2-x212,-...

Q: 1 1 1 1 1 2 2 -1 -1 1 1 3 32 1. A =

A:

Q: Determine whether each of the following statements is true or false. You do NOT need to explain. Giv...

A: This question related to topic matrix of linear algebra.

Q: For items 11– 13, consider the figure below. A 15. 20 G 30 40 T 11. AIT is similar tA ASG because of...

A:

Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 [5 1 2 -2 -4 -6 1 -2 -3 ...

A: Solution

Q: Suppose that the marginal propensity to save is ds = 0.3 – dy (in billions of dollars) V 9y + 6 and ...

A: Solution

Q: After 3 iterations of Newton-Raphson Method, solve for one real root of + 2x + 10x - 20 = 0 with zo ...

A:

Q: Draw a sketch of a position-time graph, corresponding velocity-time graph, and corresponding acceler...

A: If position vector given by s(t) then velocity vector v(t) =s'(t) and acceleration vector a(t)=v'(t)...

Q: -10 0 -101 5 0 10 2 0. 6. B = -2 4 -5 -4 -2

A:

Q: The equatiokn  Y = (x,y)T  is given as a vectorfunction with 2 components and A = table below 3 2 2...

A:

Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Th...

A:

Q: for x[z] given by z1 x[z]

A: Given xz=z-11-z-2 then we have to find x∞ xz=1z1-1z2

Q: Consider a rod of length 1 with a temperature distribution of u(x, t). For each problem, determine t...

A: The complete solution is in given below

Q: Suppose that the marginal propensity to save is ds (in billions of dollars) = 0.3 - dy V9y + 6 and t...

A: Given The marginal Propensity to save is dSdy=0.3-19y+6   (in billions of dollars) and that consumpt...

Q: Find the absolute maximum and minimum values of the following function on the given interval. If the...

A: It is given that ;                  fx = 6x2-13   ;   x ∈ [-1, 2] We have to find the absolute maxim...

Q: 2. Determine a basis for and the dimension of the solution space of the homogeneous system X3 + X4 +...

A:

Q: if f(z) = (ax – x³ + 3xy³)+ (by – 3x²y+ y') is anal ytic , then the value of a and is

A: We have , f(z) = ax - x3 + 3xy2 + iby - 3x2y + y3 We have given that ,  f  is analytic function. Sin...

Q: To accommodate more depositors, new investment products were made avanable to the small businesses a...

A: We make an equation from given information and then solve that equation.

Q: det (A) = 1. %3D

A:

Q: How much is the selling price of a gas stove listed at ₱2,650 if a discount of 15% was given to the ...

A: listed Price(LP) = Php 2650  Discount % = 15%  Discount Price(D)= 2650×15/100 = Php 397.5 Selling Pr...

Q: 10

A:

Q: Find the future value, using the future value formula and a calculator. (Round your answer to the ne...

A:

Q: How Long Will It Ta

A: Given, A veterinarian has instructed Harrison to give his 75-lb dog one 325-mg aspirin tablet for ar...

Q: A housing contractor has subdivided a farm into 100 building lots. She has designed two types of hom...

A:

Q: Given two lines L1 : x =t+1, y = 3t + 1, z = 2t – 1, and L2 : x = 2t – 2, y = 2t + 3, z =t +1, suppo...

A:

Q: 1. Testthe convergence of the power series below: (n – 1)2 -(2x + 1)" 3"-2 Calculate the following: ...

A:

Q: Problem 3: Given the nth-term formula below, compute the first five terms of the sequence: an n= 1,2...

A:

Q: Let S ⊂ R3 be the set consisting of 2 points (1, 2, 2) and (1, 2, 3). Find the annihilator of S. Sho...

A:

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this functio...

A: In the given problem first the concept of geometric series is discussed. Then by choosing particular...

Q: Question 3. induction that for any integer n2 4, it is possible for us to buy exactly n cans of juic...

A: Since induction implies well-ordering and vice versa. The same conditions that are required to prove...

Q: Given 4 1 -3 -1 2 A = 3 4 -6 8 0 -1 3 Determine the rank of A.

A:

Q: Given [1 4 1 -3 -1 A = 3 4 -6 8 0 -1 3 Find a basis of the range of A.

A:

Q: Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eige...

A:

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-(1 – e!-*) B x = y-(1 + e!-x) 2y = x³(1 + e!-2)...

A: