Using Gauss quadrature with 2 Gauss points, find the area under the curve defined by the polynomial y = 0.05x5 +0.2x + 43 between limits of -1 and 1. Give your answer to a precision of at least 4 significant figures. Your Answer:

Q: 1. The velocity of a rocket is given by v(t)= 2000 ln 14x10 14x10 – 2100t -9.8t,0sts30 where v is…

A: Given vt=2000ln14×10414×104-2100t-9.8t , 0≤t≤30 and t=16, ∆t=2 and True value = 29.674

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A: Let x and y be the length and width of the rectangular design. Label the design as shown below.

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A: First, plot the graph of this function. The graph shows three real roots: between –2 and –1.5,…

Q: Use T7(x; 2) to approximate In (0.9). Round to 4 decimal places.

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Q: Consider the initial value problem dy 5 e4z x4 – 2 x3 y(-7) = 10 dx x - 1 x - 5 Use the existence…

A: Given initial value problem is     dydx-5e4xx-1y=x4-2x3x-5    y(-7)=10Comparing with dydx-p(x)y=q(x)…

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A: Given : v(t) = 15 - t  0≤ t ≤ 11.5

Q: Amelia Earhart has flown to an unknowm island and estimates that the island can be described by the…

A: Given function is:  f(x)=402xe−0.74x2+353 The interval is:  1≤x≤5

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A: We will solve the problem

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Q: Estimate the area under the graph of  f(x) = 4 + 4x2 from x = −1 to x = 2 using three rectangles and…

A: In this question, we find the area by using the midpoint rule for the given function f(x)=4+4x2 for…

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Q: Find a quadratic function with a root at X 5i that also includes the point (2, 14).

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Q: f(x) = -3/-x+21-4 if x <3 √x+4 +3 if x 3 • to graph fix) = -31-x+2) -4: take the graph of which…

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