Find the average rate of change for the function over the given interval. y=-3x²-x between x = 5 and x = 6

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Q: 29. 4.38 ft 2m 3.74 ft

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A: This is a question with multiple parts.  So I will solve 1st three sub-parts.

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Q: If f(x)=3x-²-5x¯³+1 and g(x)=√√x, then derivative of (gof)(x) is: a. b. C. 1/1/23 1 2 3x ² 5x 3 1 d.…

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Q: Use Newton’s method to find the root of f(x) = 8x3 – (8)x2 + 5 = 0 between a = 0 to b = 2. Use 4…

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Q: - Express P(x) = xª +.2x³ + 2x² - x - 3 in terms of Legendre's polynomials

A: In this problem, we use Rodrigue's formula to express Legendre's polynomials.

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Q: Evaluate the integral for the following data. F = [x - z, y - x, z-y], S: r = [ucos (v), usin (v),…

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Q: 7 6 5 4 3 2 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 2 Find the area inside the circle x² + y² = 49 above…

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Q: Evaluate J₂(x + y −22) dV where E E {(x, y, z) | − 7 ≤ y ≤ 0, 0 ≤ x ≤ y, 0 < z < x + y²} . - Round…

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Q: +vides 12,use Leibnitz rule to convert the Volterra integral equation of the first kind to a second…

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Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

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Q: the new bounds should be 1 to 4

A: Yes, the new bounds should be 1 to 4.

Q: P₁ +......+ Pa (-2) = ³ (~- ¦ ) ³2m (¦ ) + ³ ( − 1 ) ²2-1 (9)+. P2n Po Pn 2 P2n P. (1)

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Q: Use Newton’s method to find the root of f(x) = (z)x 3 – (y)x 2 + 5 = 0 between a = 0 to b = 2. Use 4…

A: Use Newton’s method to find the root of f(x) = x^ 3 – x^2 + 5 = 0 between a = 0 to b = 2. Use 4…

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Q: f(x) = 2x +3, P = {-4, -1, 1, 4, 8), C = (-3, 0, 2, 5)

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Q: Example

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Q: CURRENT OBJECTIVE Use divergence to understand the flow of a fluid Question Suppose the vector field…

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Q: Compute the following powers and give your answer in the form a+bi. Use the square root symbol where…

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Q: 3. Consider the function gx=lnx-16) a) Find the input values on the graph of g x out values for g(x)…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = tan(x + 3y+z) . F(x, y, z) =

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Q: Let f(x)=(√x^2+x) for 1≤x≤7 . We want to estimate *Attached by the trapezium method. a) Divide…

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