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Q: Why do you think having a different variable for the angle originating from the normal line is usefu...

A: We will answer this question considering the norms and conventions used in geometry and more general...

Q: a) Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don...

A: Green's theorem relates a line integral around a simply closed plane curve  C  and a double integral...

Q: Which of the following functions are one-to-one: Which one of these functions is not invertible? Sel...

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first quest...

Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and ...

A: To prove that size of every bipartite graph of order n is at most  n24

Q: QUESTION 1 Let f(x,y) = 3xy. Find the directional derivative of f at the point (1,2) in the directio...

A:

Q: x² < 0 if and only if æ <0. O Either true or false O Neither true nor false O True O False 2)

A:

Q: 2. Find Solution using Newton's Divided Difference Interpolation formula (x = 2.7)? X. f(x) 0.69315 ...

A: Newton's divided difference formula for 3 points can be defined as: f(x)=y0+(x-x0)f[x0,x1]+(x-x0)(x-...

Q: Arx) Use the given graph of f'(x) to find the intervals on which f(x) is increasing, the intervals o...

A: To find- Use the given graph of f'x to find the intervals on which fx is increasing, the intervals o...

Q: 5- I = x.e*dx Divide the integral into 5 equal parts (n=5) and obtain the numerical integral with th...

A: Introduction: The Trapezoidal rule and the multiple Simson's rules are very significant in approxima...

Q: 2. A vector a has components ax = 1, ay = 2, and az =-5. A vector b has components b, = 3, b, =-1, a...

A: Given that a vector has components as ax=1,ay=2,and az=-5 and  b vector has components as bx=3,by=-1...

Q: 1 x2 – 12 x + 6 2x +8 lim

A:

Q: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio ...

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An BC C and r E B, then x ¢ A - C.

A:

Q: ve that the are lengh - loj secx from

A: Introduction: The formula for the arc length for the curve y=f(x) from a to b is given by, L=∫ab1+(f...

Q: nstructions: Evaluate the following polynomials. Show your solutions. • By Substitution Method (6) 1...

A:

Q: Consider the following signal, for a time period of 2 π. u (t) = sin (t) for t ∈ [0; π] ; u (t) = 0 ...

A: We will use the basic knowledge from Fourier analysis to solve this question. Note that in your ques...

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: To find- Find Solution using Newton's Divided Difference Interpolation x = 301?

Q: Consider the following binary set relation: R= {(1,5), (2, 2), (5, 1)}, on A = {1, 2, 5} a) Compute ...

A: Note: The set Bis not given hence w won't be able to solve part (c).  The given relation is R=1,5,2,...

Q: About of the species of mammals that live in Canada can be found in the Taiga Shield ecozone. About ...

A:

Q: Name the marked angle in 2 different ways. E

A: The marked angle can be named in two ways  The vertex will remain in same both ways  

Q: e subgroups

A: Introduction: A nonempty subset H of a group G is a subgroup of G if and only if H is a group under ...

Q: Find the area. 40

A: the given figure is composed of rectangle and triangle Therefore the area of the given figure is sum...

Q: In how many years will annuity of Rs.400 amount to Rs. 4064 at 3% p.a. compound interest?

A: The formula for the compound interest is given as follows:

Q: 5 sin2x + 2sinx = 0 in the interval x = [-2π, 2π] algebraically. Please round your irrational answer...

A: Given as,

Q: Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 0. 1/3 2/3 1...

A: Simpson's rule states that:∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an...

Q: 1. Determine the incidence matrices of the graphs below. a) b) a (b of

A:

Q: 2х + 8 x2 - 12 lim x--6 x + 6

A:

Q: Calculate the simple interest earned when P = $15,000, r = 7.5%, and t = 70 days using the ordinary ...

A: The formula to calculate the simple interest is given as follows:

Q: 1. Determine the next number in the sequence: 9, 4, 3, 121, 37, 84, ___ . 2. A Fibonacci prime is a ...

A: 1. The next number in the sequence is 9,4,3,121,37,84, 2339 The difference dose not converge.

Q: Express the following in the form a + bi, where a and b are real numbers: 60i-11

A: Introduction: Like a real number, the square roots of a complex number can also be determined. A com...

Q: .1 Use a calculator to calculate the following. Write your answer using the rounding instruction wit...

A:

Q: Only C and D

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The output ...

Q: Evaluate f (6 + 3 cos z) dr using Simpson's 1/3 Rule (n=D4). O 12.386215 O 12.114624 O 12.42518 O 12...

A:

Q: Normalize the vector v = (1, 0, -1, 2, 6)

A:

Q: Normalize the vector j = (1, -2, 5, 0, -1)

A:

Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B.

A: We have to find the cartesian product of the given sets A and B. The cartesian product is defined as...

Q: What is the relative error in estimating the fırst derivative of f (x) difference approach with h-0....

A: We can solve this by using central difference formula and relative error formula

Q: 31 Find the LU of A = 4 [-2 5 -1 3 %3D

A:

Q: Ho We By the Same wayprove e that : X Jr (x) V+1

A:

Q: what is the number form for four hundred four and six thousand, three hundred fifteen ten thousandth...

A:

Q: 21 Care must be taken when the solution of a DE involves inverse functions. Solutions may be inadver...

A: Question (a) and (d) asked only.

Q: 1.) Let G ={1,−1,i,−i} be the group of 4 complex numbers under multiplication.  (b) Is {1,−1} a sub...

A: Use Finite subgroup test : Let H  be  a non empty finite subset of a  group G. If H is closed under ...

Q: The table below shows the speed-time change of an athlete in a 20-m period. The runner's speed is gi...

A: Given, I=∫020v·dt The integration is performed using the trapezoidal rule and Simpson Method.      

Q: How many days are there are there in 157 weeks

A: We know that in one week there are seven days.We have to find the number of days in 157 weeks.

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: Solve the following system of equations using matrices (row operations). If the system has no soluti...

A: we have given the equations x+y-z = 52x-3y+2z = -4x+3y -2z =10 we have to solve the equations by usi...

Q: (5 + 2/3) 2 + 13 Without using a calculator, express in the form p + q/3 , where p and q are integer...

A:

Q: 1 -1 1 3. Given A = 1 -1 1 1 Lo 1 -1. a) Find A-1. b) Write the corresponding elementary matrix for ...

A: (a) we have given the matrix A = 110001-111-111010-1 we have to find the A-1 Now by using elementary...

Q: 01 2. 2 -1 1- Given peintsBindthe nd olegree palyna that wihfil the Curve 31 01 x5

A: given data  x 0 1 2 3 y 2 -1 0 -1 find the second degree polynomial that will fit the curve ...

Q: What is the standard basis of a skew-symmetric matrix?

A: To give the standard basis of a skew-symmetric matrix.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.