First find f' and then find f. f"(x) = x³ + 8x² – 3x - 9. f'(1) = 10. f(1) = -10. f'(x) = 0 f(x) =

Q: 1. A rocket is fired at an angle of 25° to the ground and with an initial velocity of 120 m/s.…

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Q: Evaluate the integral. (Use C for the constant of integration.) √ 8 sin²(x) cos³(x) dx 8 8 sin³ (x)…

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A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Find the limit. Use a graphing utility to verify your result. (Hint: Treat the expression as a…

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Q: a. Show that the function is a solution of the differential equation b. Show that f(x) = e. f(x) =…

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Q: sketch f(x) has a graph of on on f'(x) > 0 (-∞0,2) 7 f" () <0 on (-00, 2) f(x) inflection point 0²…

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Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

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Q: -0.015 16. e

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Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in…

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Q: ¹fp=i − 2j+k‚q=2i −3+ kandr = 3 - 2k, determine each of j+ j the following: px q • (2-0) × (+7) Р q…

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Q: Find the area of the region enclosed between y = 4 sin(x) and y = 2 cos(x) from x = = 0 to x = 0.7π.

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Q: 2- Sketch the graph of the following ellipsoids in space 1 x² + y² + 4z² = 4 4x² +9y² + z² = 36

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Q: ntervals on and concave down and identify the x-value corresponding to any points of inflection. "

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Q: Write a polar equation of a conic with the focus at the origin and the given data. eccentricity y…

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Q: 4) Shift: Stretch: Equation: Asymptotes: -6 -5 + -3 -2 -1 S 4 3 -2 1 0 -1- -2 -3 -4 -5

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Q: is the following equation Correct Why? 3 S=dx 4 15 2 2 2 | ( 11 2 or in Correct

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(2 lnx), (1,0)

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Q: Question 7 Use the ratio test to determine if the series converges or diverges. n-1 15 O Diverges O…

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Q: lise 2 to ax 65x Substitution on u = 3-5 X the following integral

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Q: 17, 18, 19, 20, 21 and 22 Find a power series representation for the function and determine the…

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Q: Please find differentiation of g(x) at x=4π , given g(x) is inverse of f(x)

A: NOTE: Refresh your page if you can't see any equations. . take x=2πand check  so point (b, a) is…

Q: Determine either absolute convergence, conditional convergence or di Σ (-5)-n n=1 O Converges…

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Q: Given that 7 ≤ f(x) ≤ 8 for 4 ≤ x ≤ 8, estimate the value of 8 O≤ff < f(x) dx ≤ 8 f(x) dx

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e9, where the value ab is as…

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Q: Identify the appropriate convergence test for each series. Perform the test for any skills you are…

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Q: 30. DETAILS Identify an 2 n² + 3 Use the Root Test to determine whether the series convergent or…

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Q: The rate of change of the projected total assets (in constant 2005 dollars) in a government trust…

A: Given. f(x) = -0.364x2 - 0.296x + 176.3

Q: 4. Categorise (with reasons) the eigenvalues and eigenvectors of the following phase portraits. (a)

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A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptotes, take…