I. Show that the function ƒ defined by (1, y) = (1, –1) f(1, v) = { +g (z, y) # (1, –1) + y is not continuous at (1, -1).

Q: cot x csc x - 1 csc x + 1 cot x L.S. R.S.

A: We have to prove that cot xcsc x+1=csc x-1cot x.

Q: Use the total enumeration method to solve the problem below.   Amy, Jim, John, and Kelly are…

A: Given- Amy, Jin, John, and Kelly are standing on the east bank of a river and wish to cross to the…

Q: This question and the next three refer to this tree and the codewords generated by it: E A Question:…

A: Solution

Q: Assign the maximum amount to this cell that is allowable based on the supply and demand constraints.…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: If y approximate the differential dy when x changes from 64 to 64.07

A:

Q: Question 2: Apply the modified Euler method (Runge-Kutta of order 2) with h = 0.1 to determine an…

A:

Q: Find the radius of convergence, R, of the series. 00 (x+3)" 3n In(n) n = 2 R =3 Find the interval,…

A: The solution is given as

Q: 4. (а) Find d -1 dx V 1+ x². 1 (b) Hence evaluate 2 dx. (1+ x2)3/2

A:

Q: sam deposits 150 in a savings account and earns 6% compounded monthly will she have enough savings…

A: Follow the steps.

Q: Question 11. of S = {1,2, ..., n}, for G(T) = GT. For G = S, state necessary and sufficient…

A: We need to state necessary and sufficient conditions on T, a subset of S={1,2,...,n} for G(T)=GT

Q: Find the average value of the function f(x.y)=x +y* over the rectangle R= {(x.y)| 0sxs3,0sys3). The…

A: To find- Find the average value of the function fx, y = x2 + y2 over the rectangle R = x, y | 0 ≤ x…

Q: Perform the indicated operations and simplify the result. sec e sin e 1 tan e 1 - sin 0 1 sec20

A: To perform the indicated operations and simplify the result.

Q: 2. Let k > 0 be a constant. The area bounded by the x-axis, the curve y = 1 and the lines x = 1 and…

A:

Q: Renren is 4 times as old as Mark. six years from now, he will be twice as old as Mark. How old are…

A:

Q: Find the Fourier series of the functionf on the given interval. Give the number to which the Fourier…

A: Fourier series of a function f(x) defined in -π,π is given by fx=a02+∑n=1∞an cosnx+∑n=1∞bn sinnxhere…

Q: The matrix -12 7 A = 7 -5 -7 -14 has A = -5 as an eigenvalue with multiplicity 2 and A = 2 as an…

A:

Q: In a survey, students were asked about their favorite subjects. The results are as follows:   80…

A: We will construct a Venn diagram according to the given informations.

Q: ** Round your answers to the nearest penny. FOR EXAMPLE: $1300 should be typed as 1300.00 and…

A:

Q: Which of the following is a linear system of ODES? Ox' = 7 sin(x) – 7y, y' = 7x – 2 cos(y) - Ox' : -…

A: Solution

Q: 13. у" — 2у — 2у 3D0 2y'

A:

Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

A:

Q: What is the order of the following differential equation? dx d²y 2 z, = xyz dt3 dr? dr 3 2 0 1

A: Solution :-

Q: Solve the system of differential equations -3 4 7 3 | x(), х(0) -1 x'(t) = 1 -2 1 The only…

A:

Q: 1. Solve the differential equation: xy' – y = 2x ln x

A:

Q: 13. Which of the following statements is/are false? I. En1 ar"-1 is divergent if |r| > 1 convergent…

A:

Q: Choose as the right endpolnt of each subinterval. Then So the definite Integral Is glven by 9 dx 3D…

A:

Q: 1. Six line integrals in no particular order. (a) Evaluate f F. di where: F(r, y, 2) = (y²2³, 2ryz",…

A:

Q: 4 -3 2 1- -8 -7 -6 -5 -4 4. 5 1- (-1,=1) 2 (0, –2) -3 |(1, –4) -4 -5 -6 -7 -8 f (x) =| log (x+

A: We can solve this using given information

Q: Find the length of the curve defined by the parametric equations t, y = 5 In((t/6)? – 1) I = from t…

A: Given, x = 56t , y = 5lnt62-1 = 5lnt2-36-5ln(36)and 7≤t≤10

Q: The rate of cooling a metal ball can be expressed as dT 3D -k(Т — Та) dt Where T = temperature of…

A:

Q: a) The shaded area enclosed by the curve y = x? - 4 and the x-axis is rotated around the x-axis to…

A:

Q: ge multiplies to find the dimensions of a rectangular box with the largest volume if the total…

A: We have to find the dimension of given rectangular box.

Q: Find the compound amount and the interest earned when the given investment has continuous…

A:

Q: mproper Integrals - Integrating over an infinite interval. n this problem our goal is to determine…

A: In this question we can solve the improper integral . If the integral value is finite then the…

Q: Suppose v, w e R" and {v, w} is linearly independent. Prove that {v – w, 2v+w} is linearly…

A:

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: Given the data in the table which shows the flow of electric current at different time t. To…

Q: 1 The linear mapping F, defined as F:R? →R? defined by F (x, y) = (x + y, x + y). The basis of its…

A:

Q: 15. Given the graph of f (x). With the area of region A equal to 7/3, region B is 34/3 and region C…

A:

Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: 1. Complete the tables by calculating the relative frequency of phones in each interval. Explain how…

A: Hope this is useful

Q: cos (2n - п {a,} =- V2n? +1

A:

Q: (b) Given that x =1-4i is one root of the quartic equation z*- 82' + 542? – 152z + 425 = 0, find the…

A: Q6. b. The given quadratic equation is z4-8z3+54z2-152z+425=0 and one root is z=1-4i. To find: other…

Q: A.3 Direction: Let p be "She is not beautiful" and let q be "She is not intelligent." Write…

A: p : she is not beautiful  q : she is not intelligent

Q: Statistics and Mathematics. Following are the ranks obtained by 10 students in two subjects,…

A:

Q: Representing a function as a Power Series. Suppose that we want to represent the function f(z) =…

A: To find- Suppose that we want to represent the function fx = ln5x + 10 as a power series centered at…

Q: True or False. Provide reasons a. Let {A„} be an unbounded sequence of positive terms. Then, lim A,…

A: Given: Three statements. We need to check whether the given statements are true or false.

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A:

Q: Using Gauss Mean Value Theorem, find 1 sin (7/6 + 2e") d0. (Ans. 1/4)

A:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A:

Q: 4. Which of the ff. series is convergent? 2 2 A. 6 – 2 + C. 1+ 2 + 3 + 4 +5 + . | ... 9. 27 Β. Σ 1…

A: A series ∑n=0∞an is said to be convergent if the sequence of partial sum sn=a0+a1+a2+...+an is…