Verify that y = c sec² x is a general solution of y' = 2y tan x, where c is an arbitrary constant and find c if y(π/4)= 4. What is the interval in which the solution is defined?

Q: (a) Prove that a*b=a+b-a-b is an operation on the set S = R\{1}. (Show that, if a*b = 1, then one of…

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Q: Directions: Solve the initial value problem. y': = 9-y 1+ t 2 and y(0) = 9

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Q: Consider the following interpolating points for the function f(x) = x² - 2x: Xi 0 1 23 f(xi) 0 -1 0…

A: xi0123f(xi)0-103We are to solve the first 3 subparts of this problem:We use Matlab code for the…

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Q: The Ax = b system is "solvable" only if b is a (a) Explain why the linear system Ax=b where A = 4 4…

A: The  system is "solvable" only if  is a _______ of .(a) Explain why the linear system  where  and…

Q: Problem 1. The absolute value of a real number x, denoted by [x], is defined { Let x, y ER and a ≥…

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Q: The formal description of a DFA M is ({91, 92, 93, 94, 95}, {u, d), 6, 93, {93}), where & is given…

A: Given that, the formal description of a DFA M is .

Q: 1 2. Given the graph of y = f(x), sketch a clearly labelled graph of y=- f(x) on the same set of…

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Q: Problem 2. independent in R³. Find all values of a such that the vectors {(2, a, 1), (1, 0, 1), (0,…

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Q: 5. The students in Suzanne's school are painting a rectangular mural outside the building that will…

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Q: f(x) = = f(x) = e²x, Σ( n = 0 R = ∞ 218 n! a = 9 Find the associated radius of convergence, R.

A: To find the Taylor series of function f(x)=e2x  at a=9

Q: Consider the two slope fields shown, in figures 1 and 2 below. +4 } figure 1 1 1 J J } 1 1 J } +4 1…

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Q: a) A periodic waveform is defined by (ii) f(t) = (iii) T with f(t + mT) = f(t) and m is an integer.…

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Q: An artist who makes handmade earrings has fixed costs of $400 for a table at an art fair. The cost…

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Q: E. Let H be the set of all points (x, y) in R² such that x² + 3y² = 12. Show that H is a closed…

A: We have to find H is closed  subset bounded.

Q: Directions: Find the area of the region under the graph of the following function. If the region…

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Q: Question 2. Chun starts with numbers a, b ≥ 0 and puts them on a line. Then they draw a semi-circle…

A: Since multiple questions are posted, so according to Bartleby Q&amp;A policy, we will provide…

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Q: - Aiko is flying a kite. She is using a string that is 85 ft long. How high above the ground is the…

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Q: John is 23 years old and rents a car for 4 days, from Thursday through Sunday. The cost of the car…

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Q: $ Evaluate clockwise. positiver sin z 22 +1 dz where y is circle C(0, 2) traversed once and counter-

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Q: Directions: Find all points (x, y) where ƒ(x, y) has a possible relative maximum, minimum, or saddle…

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Q: (i) What is (-1, 2] (0, 3)? (ii) What is P2 P3? An B = {x :x A and x = B}. ≤ (iii) If n, k € N, then…

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Q: Let a. b. c.deN and consider the numbers M = 2³ * a² * 7³ * 17 * 378 and N = 2 * 11 * 17¹6 * 37¹.…

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Q: (b) For the following systems, find the equilibrium point(s), if they exist: (i) an+1 = V 2a, + 3…

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Q: Luis rents a 17-foot moving truck for 3 days. The rate for the truck is $60 for the first day and…

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Q: Find the horizontal and vertical asymptotes of f(x). f(x): 2 5x² x-7 Find the horizontal asymptotes.…

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Q: Problem 2-16 Live Trap Corporation received the data below for its rodent cage production unit.…

A: Output = 50,590  unitssale price = $3.4 /unit.Production Time = 642 hrsWages = $7.4 /hrRaw Materials…

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Q: The price of grapes is $2.19 per pound. The price of bananas is $0.59 per pound. The price of pears…

A: The price of grapes is $2.19 per pound.            So, cost of 3 pounds of grapes is  = $2.19 × 3…

Q: Solve the first-order linear differential equations. a) x+2y= 1 - 1, x > 0 x

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Solve the given equation by separation of variables. dN/dt + N = Nte^t+4

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