EXERCISES #2 Find the standard equation of the circle satisfying the given conditions. 1) Center at the origin, radius 5 (2) Center (2, 3), radius 6 Center (-4, 3), radius √7

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Q: 1. From the graph of g, state the intervals on which g is continuous. YA All 0 -3 -7 1. 1 3 5 7 X

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

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Q: dy dx √x-y; y(2) = 1

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Q: Find the inverse Laplace transform of F(s) : = f(t) = -7s - 28 s² + 5s 6 -

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A: The given function is .The aim is to find the derivative of the given function.Quotient rule: Let…

Q: Find the derivative of the function. 7 f(x) = √x = 3 + 6cos x Step 1 Rewrite the function f(x) using…

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Q: f(x) = x² 8 x + 2 x - 6

A: f(x)=x+2x2−x−6

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Q: Evaluate the following limit. Show and justify all your work. |x² - 14 - 2x + 1 x+1-2 lim x+3

A: To evaluate the following limit.

Q: Find the derivative of the function.  s(x) = 3√x + 11/3√x

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Q: The graph below is the function f(x) 8+ 7 6+ lim f(x) = x-x -8 -7 -6 -5 -4 -3 -2 -1 5 4 3 2 1 16 -2…

A: A graph of the function is given.The aim is to find the limit .

Q: 11000+ 10000 9000 8000 7000 6000 5000 4000 3000 2000- 1000+ 100 200 300 400 500 600 700 800 900 1000

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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Q: a 1. The matrix J is given by J = C a) Show that J² = d -C -b] 2]. a d where a+d=-1 and ad-bc=1. b)…

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Q: Consider the function g(x) = Evaluate the following limits a. lim g(x) x--1- b. lim g(x) x--1+ c.…

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Q: Let f(z) = J(+5)²+3 -2x+40 if a ≤1 if a>1

A: f(x)={(x+5)2+3 if x≤1−2x+40 if x&gt;1

Q: Approximate the arc length of the curve y = x¹ over the interval [3, 9] using Simpson's rule and 10…

A: The length of the curve is given by

Q: Evaluate the following indefinite integrals. 1. f sec³ x dx

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Q: d) 11 L" (2 1 (x - 3)¹/3 dx

A: In the given problem, it is required to explain the reason of  is an improper integral  then write…

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Q: Find the Laplace transform of F(s) = 3TT f(t) = u(t – ³ 2 sin t

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Q: describe the transformations required to transformations f (x) into g(x). Then, sketch both f (x)…

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Q: 3. a. Sketch the following functions. Determine whether the function is continuous or discontinuous.…

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Q: find the derivative of the function  r(x) = 2/3x^2 + 1/x^(2.1)

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Q: Find the inverse Laplace transform of F(s) - e-9s s² - 25 f(t) = I (Notation: write u(t-c) for the…

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Q: Find the inverse Laplace transform, ƒ(t) of the function F(s) = f(t) = ,t> 0 1 s² - 36 s>6

A: We have to find the inverse Laplace transformation, f(t) of the function

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Q: (c) -4-3-2 2 Y f(x) 2/3 4 lim f(x) -T111 lim f(x) x4-2+ lim f(x) x112 lim f(x) x-1 lim f(x) x-2

A: A graph of the function is given.The aim is to find the following limits,