Find the area of the specified region. (Do not count area below the x-axis as negative.) the area bounded by y = 16 − x2, the x-axis, and the lines x = −4 and x = 4

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Q: Find the area of the shaded region. 3 f(x) = 8x + 2x² − x³, g(x) = 0 gr -4

A: NOTE: Refresh your page if you can't see any equations. . given functions are and the limits of x…

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A: g(x) = ∫0x(3 + sint) dtg'(x) = ddx∫03(3 + sin t)dt= (3 + sinx) ddx(x) - (3 + sin 0) ddx(0)=…

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Q: Question 9 (D2 + 5D + 4)y = 3 - 2x, Find Yp a. 11 8 O b. O C. 11 d. 11 11 8 8 ४ | 3 O e. none + 8/3…

A: The given differential equation is: D2+5D+4y=3-2x So, we can also write as: y''+5y'+4y=3-2x

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Q: (D3 - 5D2 +8D-4)y = e2x, Find Y = Yc - Yp 1 =-=-=x² ₁²x 2_2x 2 a. C. C₁ et + C₂e O d. 2x b. C₁e² +…

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Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: 7. (D²+2D+1)y=(e-1)-². 9 (D² 2x)-1/2

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Q: Calculate ff f(x, y, z) dS For Js f(x, y, z) ds = y=7-2², 0≤x, z≤7; f(x, y, z) = = 2

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Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

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Q: Find po q and its domain given: p(x) = √4x² and q(x) = √3-x

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Q: Find each limit, if it exists. If the limit does not exist, explain why. 1. lim x x² - x + 6 2 (x +…

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Q: Find a power series representation for the function; find the interval of convergence. (Give your…

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Q: Determine the solution of the following differential equations: (D³ - 3D² + 4) y = 40cos2x + 6

A: Let's solve given differential equation.

Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p= S(x)…

A: The following formula can be used to find the producer surplus (PS), PS=px-∫0xS(x)dx , where p is…