Q2.) for the function shown in fig 1) At what value of t, the function is continuous. 2) Is the function is two-sided limit at t-0. 3) How can you remove discontinuity when te-2, if any. 4) At what value of t the function f(t) is two-sided limit. 5) at what value oft the function is one sided limit.

Q: 11. Prove each of the following by mathematical induction. a) 1.2.3 + 2.3.4 +....+ n (n + 1) (n + 2)...

A:

Q: 1. Identify the order, degree and linearity of the following differential equations: d²y 4 + 1]3 b) ...

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

Q: C. Given: ATAN ~ATKJ. 1. If TJ = 8cm, AN = 10cm and TA = 12cm. Find TN and KJ %3! K 2. TN = 5x -7cm,...

A: It is given that two  triangles ∆TAN ~ ∆TKJ  

Q: 00 (2х+3)" 2 2n+n-1 n=1

A: Given series is ∑n=1∞(2x+3)n2n2+n-1

Q: Find the effective rate of the compound interest rate or investment. (Round your answer to two decim...

A: Given:   Compunding period = 12 APR = 23% or 0.23

Q: Show that - a is not the inverse of a e N for the addition operation + on 1 N and - is not the inver...

A:

Q: Determine the rank and nullity of the matrix. 2 -1 0 1 5 2 1 -4 -1 -4 -1 6 -8 -5 -2 9 The rank of th...

A:

Q: Assume that u E W%3 (R"). What is the largest q such that we can guarantee that u E Lº (Rº). O 30 7 ...

A: In this question, 3 is the largest q such that we can guarantee that u∈Lq(R10). Hence option third i...

Q: dy dx take 2. Solve |xy+1 with ycu) =1 for finding y(o.075) h=0-025

A:

Q: For problems where you solve an LP using a version of the simplex method, you can use Vanderbei's pi...

A:

Q: 1. Use the Root Test to determine if the series (-1)" 2/m en? (2n2 – 1)n n=1 -

A: Introduction: The root test is another significant tool to determine the convergence of an infinite ...

Q: 3) Let r(x) = 2x2 Sketch the graphs of the functions in the same xy-plane in the following steps. x²...

A:

Q: The first quartile of a distribution of scores is a value wherein 25% of the distribution falls belo...

A: We have

Q: What is the median of a normally distributed random variable with mean ? and standard deviation ??

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is ...

Q: Find the determinant by row reduction to echelon form. 2 2 -2 9 10 - 10 6 9. 15 Use row operations t...

A: These question related to matrix determinant and row echelon form.solution is given below

Q: n²x, 0<x<1/n fm (x)== { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1}

A:

Q: Let (x) = x*(x - 1). (a) Find the critical numbers of the function f. (Enter your answers from small...

A: It is given that ;                     fx = x4x-13   ................(I) (a) We have to find the cri...

Q: All spicy foods give me indigestion.  Chili dogs are spicy food. Therefore, chili dogs give me indi...

A: This is a problem of Logic.

Q: Obtain the solution set of: z^4 - j3z^2 - 2 = 0 (Hint: factoring and quadratic formula)

A:

Q: 3m Sin

A:

Q: Consider the inner product space R" with the usual dot product. Which of the following sets is NOT o...

A:

Q: ELEMENTARY APPLICATIONS OF DIFFERENTIAL EQUATIONS (GROWTH AND DECAY METHOD) Jun has decided to save...

A: Introduction: The exponential growth and decay model is useful in calculating the amount related to ...

Q: 2. Count 1-e-x2 dx x2 -1 to an accuracy of 3 decimal places after the comma!

A:

Q: Find F'(x) if F(x) = cot-1 Your answer

A:

Q: 18 f1. are the corresponding Christoffel symbols and are components of two symmetric covariant tenso...

A:

Q: Find the equation of the tangent line to the graph of y = f(x) at the point where x=-3 if f(-3) = 2 ...

A: The value of f-3=2. Therefore, the tangent line passes through the point -3,2. The value of f'-3=5. ...

Q: f(r + h) - f(x) Find the difference quotient f(x + h) – f(x) Find f'(x) by determining lim Find f'(-...

A:

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of ...

A:

Q: DO NOT include spaces in between 17 characters. * In (In y)) at y = e. dy Compute Your answer

A: Given function is ln(ln y) we want to find the derivative of given function with respect to y.

Q: Give 2 examples of Continuity and Discontinuity. Show your complete solution using the three conditi...

A: We know that a function fx is continuous at a point x=a if limx→a- fx=limx→a+ fx=fa, where limx→a- f...

Q: Please interpret the physical case showing how to calculate

A:

Q: 1. Use the e – d definition of the limit to show the following: - (a) lim(5x – 2) = 3 - (b) lim VI =...

A:

Q: b) Find the Taylor series expansion about Zo=Ti for flz)=e%

A:

Q: Compounded Quar- Daily Corponded

A:

Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear ...

A: u1 = (2, 2, -2, -4, 4, 1)u2 = (2, -2, 4, -1, 3, 4)u3 = (4, 3, -2, -1, -1, 2)u4 = (2, 1, -1, 3, 4, 3)...

Q: Coalition and Critical Players Solve the following problem. Consider the weighted voting system [75:...

A: Given the weighted voting system  75: 50, 46, 35, 20, 3

Q: 1. In the following weighted voting system example, identify the quota and the weights. [115: 25, 35...

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

Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

A:

Q: State the order and linearity of the following differential equations i) cos(x?y) y" + 5xy' - 18y = ...

A:

Q: The board game Scattergories uses a 20-sided die featuring the following letters: А В C D E G HI J K...

A: If we roll the die, then it has 20 possible outcome. (As listed) Now the word "NEW YORK" contains 6 ...

Q: What is the expanded formula for a family with 8 children? O a + 56a'b + 70 b² + 256a b + 320atb + 2...

A: Pascal's triangle

Q: Compute the determinant using a cofactor expansion across the first row. Also compute the determinan...

A:

Q: [3.0 augmented matrix is 0.6 2.0 1.5 -0.3 2.0 1.5 -0.3 -5.0 | 8.01 -5.4 | 2.7 2.4 | 2.11 1.2

A:

Q: Consider the following predator-prey model in which p(t) represents the predator population and q(t)...

A: Given the predator-prey model as dqdt=4q-q2-2pqdpdt=-6p+3pq. 1. The q-nullclines are the set of poin...

Q: Question 8 > If you drove 444 miles in 8 hours what was your average speed per hour? Submit Question

A: Speed and distance  

Q: s² - a 2a if r(s) = Find the value of r' at s = %3D s +a? 1T Your answer

A:

Q: Let y(x) be the solution of the initial value problem dy 30°y, y(2) = 3x?y, = 3. dx Use Taylor serie...

A: The initial value problem given is as follows: dydx=3x2y,  y2=3 The Taylor series expansion of order...

Q: DO NOT include spaces in between characters. x² - 4 ifx<2 Determine f#(2) if f(x)={2-x if 2<x<4. x-2...

A: We want to find f+'(2)

Q: Find the radius and interval of convergence of the given power series. +o0 Σ (x + 3)" n5 +1 1. n=0

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy problems....

Q: Given f(x) = - . Answer the following 6x – 1 - questions. (a) Find the domain of f. (b) Give two fun...

A: