Secant method: 1. Compute the root of the equation ²e-3 = 1 in the interval [0, 2] using secant method. The root should be correct to three decimal places.

Q: Alrededor de Zo = -1. f(z) = 1-2³ Z4 +1

A: Sol:- Taylor series of function fx at a is defined as:fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…Apply…

Q: Show directly from definitions that if f(x) and g(x) are real func- tions, bounded on [0, 1], and so…

A: Given: limx→0+f(x)=2 and limx→0+g(x)=3 To show: limx→0+f(x)·g(x)=6

Q: 9x 9* +3 Let f(x) = evaluate Show that f(x) + f(1-x) = 1 and, hence, 3 (1996) + (1996) + (1996) + (5…

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Q: 1. The slope of a curve at any point (x, y) is given by dy dx 8x, if (2, 14) lies on the curve. Find…

A: The slope of a curve at any point (x,y) is given by dydx=8-x, if (2,14) lies on the curve, we have…

Q: Given f(x)=x²+1 and g(x)=3-4, find 9.(g-f)(x) b. (fg)(x) C-(fog)(x) d. (gof)(x)

A: As per Bartleby rules we have to answer only first three questions.

Q: Express the required calculation in terms of x and then round to the nearest tenth. How much fencing…

A: Let us consider a circle with a radius r then  circumfrence of circle =2πrArea of circle =πr2

Q: QUESTION 2 Show using a truth table that (p (p vq))→ p is a tautology. р T T F F q T F T F קר pvg РА…

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Q: Determine lim bn directly using the formula for bn. Write a sentence to explain your reasoning. 84x

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Q: Show that day) = So, x** 0₁ X=Y. defines a metric on X₂

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Q: =, 3.8). [Note these data points are in the form ( he parabolic function y = ax² + 3x. In other 1…

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Q: Solve the completely inhomogeneous diffusion problem on the half-line V₁ - kvxx = f(x, t) v(0, t) =…

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Q: Calculate the volume of the following systems by setting up the triple integral. Draw the volume…

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Q: Match the following guess solutions y, for the method of undetermined coefficients with the…

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Q: Find the particular solution to the equation y'' +9y sec(3x) = You may omit absolute value signs.…

A: The given differential equation is:                                     y''+9y=sec3x It is of the…

Q: 5. A population of butterflies is released into a den and is growing according to the logistic…

A: Logistic equation: The differential equation that describes the logistic population model is given…

Q: 2. The slope of a curve at any point (x, y) is given by dy da 4x, if the curve passes through (-1,…

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Q: Use the table, along with dimensional analysis, to convert the given unit to the unit indicated.…

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Q: A car traveling along a straight road is clocked at a number of points. The data from the…

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Q: 4) (1) Consider the linear system: x₁ - 2x3 =1 -x₁ + x₂ = 3 x₂ - 2x₂ = 0 Determine if this system is…

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Q: Use the Pythagorean Theorem to find the missing length in the right triangle. The missing length is…

A: Pythagorean Theorem: In right…

Q: A healthy child's systolic blood pressure p (in millimeters of mercury) and weight w in pounds are…

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Q: Determine the following estimate without using a calculator. Then use a calculator to perform the…

A: Given- You lease a car at $603 per month for 6 years. To find- Estimate the total cost of the lease…

Q: - Why is 1/z (z') equal to du/dx? - Why did you use that  integrating factor when it is not an exact…

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Q: Determine the following estimate without using a calculator. Then use a calculator to perform the…

A: Solution : Given that  A full time employee who works 40 hours per week  earns $25.50 per hour

Q: 4. Consider the constant rate of decrease of certain microorganisms. At the start, there are 12,000…

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Q: In addition to opening checking and savings accounts, what else might June do to begin establishing…

A: 1. Below are the several steps that June can take to begin establishing credit with a bank besides…

Q: Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your…

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Q: If n(A) =7, n(B)= 8, and n(A intersection B)= 6 what is n(A Union B)?

A: Sol:- Givenn(A) =7n(B)= 8n(A intersection B)= 6

Q: Test for convergence of the series whose nth terms is ((n3 +1)1/3 - n)

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Q: T(x1,x2) = (6x1 - 8x2, -5x1 + 7x2) Show that T is invertible and find a formulafor T^-1

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Q: 4) Find the value of +. 5.) How many days will chiz finish the job?

A: If A completes the work in x days, then A does 1x work in 1 day. The rate of a person is the amount…

Q: 6. [-/1 Points] If f(x) = -6x³ + 3x2 + 2x - 8, compute the first, second, and third derivative of…

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Q: Let u = (-4, 8) and 7 = (-10, 0) Then proj= and perp= help (vectors) You might want to draw a…

A: Given-  u→ = -4, 8v→ = -10, 0 To find-  proju→v→ =      perpu→v→ =

Q: Estimate the series n= n to within an accuracy of 0.5. Hint: Find an upper bound on the remainders…

A: The given series ∑n=1∞1n2. We have to estimate this series within an accuracy of 0.5.

Q: Let S be the plane with equation 3x +9y+z= 4 in the first octant and which is in front of the…

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Q: A business ordered t-shirts for advertisement. They ordered red shirt and blue shirts. The order was…

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Q: If g(x) = 2x²-3x and h(x) a) play) - 2x+9, find h(g(x)) andg(h(x)):

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Q: Given U = {y,e,l,o,w}; A ={y,e,l}; B={y,o,w}, find (A union B) set difference (A intersection B)

A: we have given sets- U={y,e,l,o,w}A={y,e,l}B={y,o,w} we want to find (A∪B)-(A∩B).

Q: Let m be an odd positive integer. Then we have

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Q: of 190 How large should n be to guarantee that the Simpson's Rule approximation to 198-+-2 dx is…

A: We have to find out how large n can be by Simpson’s rule approximation to ∫0119ex2dx to be accurate…

Q: Secant method: 1. Compute the root of the equation ²e-2 = 1 in the interval [0, 2] using secant…

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Q: QUESTION 3 Determine using a truth table whether p→ (q→ r) and (p → q) - p T T T T F F F F q T T F F…

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Q: 3. For each part, find an example satsifying the given condition. If no such example is possible,…

A: Solution: 3.(a) consider f(x) = g(x) = 2x2, then both f(x) and f(x) are polynomials in Z4[x] of…

Q: Solve the optimal solution (if there are any) for the following LP problem using Big-M method.…

A: Max Z =   3 x1 + 7 x2 - 3 x3 + 0 S1 + 0 S2 - M A1 - M A2 subject to   2 x1 - 5 x2 + 4 x3…

Q: n=0 Let An be a sequence so that lim an/√n = 0. Show that the series neoo converges.

A: Given: Let an is convergent and limn→∞ an/n=0 . To Show :∑n=0n=∞ann2 is convergent .

Q: Find y(0.2) of 3y'+2x-y+1 = 0 ;  given y(0) = 1 and h = 0.2  Solve using 4th Order Runge-Kutta…

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Q: Solve ut = kuxx; u(x, 0) = e¯; u(0, t) = 0 on the half-line 0<x<∞.

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Q: Question 10 Find the volume of the tetrahedron with vertices A=(4,4,4), B = (7,6,5), C = (7,6, 6),…

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Q: 1. Prove that n=1 x2n (n+x)² converges uniformly on S = [0, 1].

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Q: . A discrete mathematics class contains 1 mathematics major who is a freshman, 12 mathematics majors…

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