Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at (2, 16), and the x-axis. Submit Answer

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A: Question number 13 solved

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A: given  rate  r(t)=120e-0.02t∫eatdt=eata+c

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A: according to bartleby guide line we do only first part of multipleplease re post other parts 6)…

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A: Given query is to sketch the curve and find the area.

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  which is the…

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A: standard form of line is y=mx+c,  where m is slope dxndx=nxn-1d(constant)dx=0

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Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 19. lim x²-5x-24 x-5 x²-9

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Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

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Q: an+1 Find the first six terms of the sequence defined by a₁ = 1 and 5 = an + 1 for n ≥ 1

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Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

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Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

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A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

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A: The polar equation is  r=2 sin θ

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Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

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Q: Find f such that f'(x) = 4x² + 3x - 4 and f(0) = 4. f(x) = C

A: Given f'(x)=4x²+3x-4 We know, ∫xndx= x(n+1)/(n+1) +C, C is a constant

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