Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [0, 3] by using the three rectangles shown here: -3 -1 10 e 8 7 6 5 4 3 2 1 +

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Q: final

A: Please refer to the image below

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Q: Evaluate (2x² - 4x + 1)² dx. √

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A: To find: rt·ut Given information: rt=3t-4i+14t3j+4k ut=t2i-8j+t3k

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Q: Question For the function f(x) = 5x + 2, it is given that f(x) f(x) dx = 102. At what value c does…

A: Here, note that the average value of the function in the interval [0,6] is given by: f=16-0∫06f(x)…

Q: A spherical snowball is melting at a rate of 9.2- min snowball's volume is 4500 cm³? The radius is…

A: Note that, the volume of the sphere is given by: V=43πr3 So,  dVdt=43π(3r2)drdt⇒dVdt=4πr2drdt...(1)

Q: Question 4 Which among the choices is not true about the continuity of f(x)? if x 1 -{₂ f(x) = x²,…

A: I am attaching image so that you understand each and every step.

Q: T 45-50. Binomial series a. Find the first four nonzero terms of the binomial series centered at 0…

A: 49. The given function fx=1+x-23

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Q: Solve the initial value problem. y" + 6y + 13y = 0; y(0) = 4 y'(0) = -11

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Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the function given below:-L-14s-8s2+ss2+1-(i)

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: Find the logistic equation that satisfies the initial condition. dy 11y y² (0, 44) dt 20 1440 Use…

A: The logistic equation that satisfies the initial condition. dydt=11y20-y21440, 0,44

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Q: 35a. Use long division to derive the first four non-zero terms of the Maclaurin Series for f(x) =…

A: The required Maclaurin Series for the function f(x)=tan x are: 1.  sin x=x-x33!+x55!-x77!+x99!-...…

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Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: Topic- absolute maximum and minimum of a function

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Q: Q12) If f(x)= In(-5+x), then the domain of f(x) is (a)x>0 (b) x 5

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Q: Q10) f a)x² + c sin"1x+cos-ix dx +c c)= x + c 12 +

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Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the solution to the differential equation dy/dx + y^2sin(x) = 0 which satisfies y(0) = −1.

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ti+ sin(t)j + cos(t)k)…

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Q: Consider the following graph. -10/ -S 7.5 -7.5 X 1) Determine the intervals on which the function is…

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Q: Find the area of the region. one petal of r = 9 cos(50)

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Q: Evaluate if possible 1 [₁²x5+¹ dx -2 x3 ….…..

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Q: Use implicit differentiation to determine dy dr || given the equation xy + tan(x) = cot(y). dr

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