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  1. Integrate each of the following:๏ฟฝ๏ฟฝ ืฌ (a( 3๐‘‘๐‘ฅ ๏ฟฝ๏ฟฝ ืฌ (b( 2 + ๐‘ฅ 5 ๐‘‘๐‘ฅ (c) ืฌ 15๐‘ฅ2๐‘‘๏ฟฝ
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  2. derive x2ln(3x^2+5x)product rule
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  3. power rulelog3xp
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  4. a. Find the critical points of f(x)=x^16e^-x b. Use the First Derivative Test to locate the local maximum and minimum values. c.
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  5. Let\[f(x) = (\arccos x)^2 \cdot (\arcsin x)^2.\] Find the range of $f(x).$ All functions are in radians.
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    2. alice asked by alice
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  6. Suppose that f(x,y,z)=x2yzโˆ’xyz3is a function of three variables. 1. Find the gradient of f(x,y,z). Answer: โˆ‡f(x,y,z)= 2.
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    2. val asked by val
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  7. For the given position vectors r(t), compute the (tangent) velocity vector rโ€ฒ(t) for the given value of t . A) Let
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    2. val asked by val
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    2. Fuad Faji Jemal asked by Fuad Faji Jemal
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  8. Let๐ด=โˆซ1021๐‘ฅd๐‘ฅ and let ๐ฟ4 and ๐‘…4 be the Left hand and Right hand Riemann sum approximations for ๐ด with 4
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    2. bob asked by bob
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  9. Let F(x)=โˆซx96ln(2t)dt, for xโ‰ฅ9.(a) Fโ€ฒ(x)=6/(ln(2x)) (b) On what interval or intervals is F increasing? xโˆˆ (c) On what
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    2. Destiny Padgett asked by Destiny Padgett
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  10. Let โˆซ30f(x)dx=6.(a) What is the average value of f(x) on the interval from x=0 to x=3? average value = 2 (b) If f(x) is even,
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  11. Let โˆซ30f(x)dx=6.(a) What is the average value of f(x) on the interval from x=0 to x=3? average value = (b) If f(x) is even,
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    2. Destiny Padgett asked by Destiny Padgett
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  12. Given the parametric equations: x=t - 1/t, y=t + 1/tFind the intervals where the curve is increasing and decreasing. State
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  13. Given the parametric equations: x=t - 1/t, y=t + 1/tFind the slope of the tangent to the curve at (8/3,10/3) Find the area of
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  14. Consider the curve C parametrized byx = cos (8t) and y = sin (8t), for 0 โ‰ค t โ‰ค ๐œ‹/8 and traversed by a particle moving
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    2. bill asked by bill
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  15. Find f'(x).f(x) = 3 ln x + ln x8 + 7ex
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  16. Question:Evaluate the following integral using Gamma function. Integrate x from 0-->1 dx/((-ln(x))^(1/2)) My approach: I let
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  17. ill in the following:lim f(x)= xโ†’ 1 + lim f(x)= xโ†’ 1 โˆ’ lim f(x)= xโ†’ 1 f (1) = lim xโ†’โˆ’๏‚ฅ lim f(x)= xโ†’ 2 + lim
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  18. f(x) = (x^2 - 1) ^3a) domain b) intercepts c) asymptotes d) symmetry e) critical values of the 1st derivative f) intervals of
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    2. guy022 asked by guy022
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  19. f (x) = (x^2 + x - 6) e^xFind the: a) domain b) intercepts c) asymptotes d) symmetry e) critical values of the 1st derivative f)
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    2. me again asked by me again
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    2. Anonymous asked by Anonymous
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  20. Let f(x)=e^(2x)-kx, for k greater than 0.Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4.
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  21. A particle is moving along the curve below.y = sqroot(x) As the particle passes through the point (16, 4), its x-coordinate
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  22. f(x) = x2 + 2x - 1Compute the derivative (that is, the derivative function) by evaluating the limit. Show your work. (Notice
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    2. anonymous asked by anonymous
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  23. 88. (a) Write | x | โˆ’ sx 2 and use the Chain Rule to show thatd dx | x | โˆ’ x| x | (b) If fsxd โˆ’ | sin x |, fnd f9sxd and
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    2. ไฝ™ๆ‰ๅžš asked by ไฝ™ๆ‰ๅžš
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  24. Find the slope of the tangent line to the curve of intersection of thesurface 36๐‘ฅยฒ โˆ’ 9๐‘ฆยฒ + 4๐‘งยฒ + 36 = 0 with the
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  25. If f ( x ) = 4 x ( sin x + cos x ) , find f ' ( x ) .f'(x)= Evaluate the derivative at x = 3. Enter an approximation, rounded to
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    2. Johnny asked by Johnny
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