# Ke\$ha

Popular questions and responses by Ke\$ha
1. ## Calculus

Use the midpoint rule with n=4 to approximate the region bounded by y=-x^3 and y=-x Show that the function f(x)= (integral from 2x to 5x) (1)/(t) dt is constant on the interval (0,+infinity)

2. ## Calculus really quick check

The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 2. Which of the following statements must be true? Edit The graph of f has an inflection point at x = 2. The graph of f has a relative maximum at x = 2. The graph of f is always

The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t---------0-----2------3-------7----8 (hours)

Which of the following functions grows the fastest as x grows without bound? f(x)=x^2 g(x)=x^2+5x

5. ## Calculus

The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x^2. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid? So I got 1/30 because (integral

6. ## Calculus

f is a continuous function with a domain [−3, 9] such that f of x equals 3 for x between negative 3 and 0 including negative 3, equals negative 1 times x plus 3 for x between 0 and 6 inclusive, and equals negative 3 for x greater than 6 and less than or

7. ## One more question Calculus

A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10. What is the total

the velocity of a particle moving along the x axis is v(t)=t^2+2t+1, with t measured in minutes and v(t) measured in feet per minute to the nearest foot find the total distance traveled by the particle from t=0 to t=2 minutes so, I took the integral of the

9. ## Calculus

For an object whose velocity in ft/sec is given by v(t) = −2t^2 + 4, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs? I think the answer is 2.667 but I am not one hundred percent sure.

10. ## Calculus

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 6cm and a height of 12cm, at the rate of 3 cm3/min. At what rate is the depth of the water changing at the instant when the water in the tank is 9 cm deep? Give an

Write the integral in one variable to find the volume of the solid obtained by rotating the first‐quadrant region bounded by y = 0.5x2 and y = x about the line x = 5.

12. ## Math

Help!!! determine the slope of the graph x^2=ln(xy) at point (1,e)

f is a function that is differentiable for all reals. The value of f ′(x) is given for several values of x in the table below. The table: x -8,-3,0,3,8 f'(x)-4,-2,0,4,5 If f ′(x) is always increasing, which statement about f(x) must be true? f(x)

14. ## Calculus

find the area of the region bounded by the graphs of y=x^2 and y=cos(x)

15. ## Math Calc

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3) + 6x(4/3). You must justify your answer using an analysis of f '(x) and f "(x) I got -1/8 for a minimum point and 1/4 for inflection is this right? Do I

16. ## Algebra 2

Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first four terms of the sequence? a{1} = first term of series ∞ Infinite Sum = ∑ a{1} • r^(n – 1) = a{1} ⁄ (1 – r) ... for any geometric series

Water is poured into a bucket according to the rate F(t)=(t+7)/(2+t), and at the same time empties out through a hole in the bottom at the rate E(t)=(ln(t+4))/(t+2), with both F(t) and E(t) measured in pints per minute. How much water, to the nearest pint

18. ## Calculus

Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = ex, x = 1, and y = 1 is revolved around the line y = -2

19. ## Math Calc

The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the resulting possible error in the volume of the cylinder? Include units in your answer.

20. ## Math Calc

Given f'(x)=(x-4)(6-2x) find the x-coordinate for the relative minimum of the graph f(x). OPTIONS: 8 6 3 None of these I think it is 3, but I am also conflicted to say none of these because I graphed the function and ant see a minimum.

21. ## Math Calc

given the relationship 2x^2 + y^3 =10, with y > 0 and dy/dt = 3 units/min., find the value of dx/dt at the instant x = 1 unit. SUPER CONFUSED DONT GET THE EQUATION!!!!!!!

22. ## Math

The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours. Estimate the value of T′(10). Give units in your answer. What is the meaning of T′(10)? t 0

23. ## One more question Calculus

write n with limit from 0 to infinity with the summation n on top and k=1 on the bottom (5+k(2/n))^10 (2/n) as a definite integral.

find the area bounded by the curves y^2=2x+6 and x=y+1

find d/dx (integral from 2 to x^4) tan(x^2) dx tan(x^4)^2*4x^3 MY ANSWER

Use the graph of f(t) = 2t +2 on the interval [−1, 4] to write the function F(x), where f(x)= integral from 1 to x f(t) dt f(x)=x^2+3x f(x)=x^2+2x-12 My Answer f(x)x^2+2x-3 f(x)=x^2+4x-8 Find the range of the function f(x)=integral from 0 to x (sqrt

27. ## Calculus I'm really confused

solve the differential equation dy/dx=y^2/x^3 for y=f(x) with condition y(1)=1.

28. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 - 9x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. I think one point is zero.

29. ## Calculus

find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the y-axis

30. ## Math Calc

Which of the following statements is/are true 1. If f'(c)=0 then f has a local maximum of minimum at x=c 2. If f is continuous on [a,b] and differentiable on (a,b) and f'(x)=0 on (a,b) then f is constant on [a,b] 3.The Mean Value theorem can be applied to

31. ## Math

A particle is moving along the x-axis so that its position at t>=0 is given by s(t)=(t)ln(5t). Find the acceleration of the particle when the velocity is first zero.

32. ## Math

A particle moves along the x-axis so that at any time t, measured in seconds, its position is given by s(t) = 4sin(t) - cos(2t), measured in feet. What is the acceleration of the particle at time t = 0 seconds?

33. ## Math

HELP DERIVATIVES!!!!!!!!!!!!! if h(x)=f[f(x)] use the tables for f and f' to find the value of h'(1) X f(x) f'(x) 1 3 2 2 1 5 3 6 7

34. ## Math

I have no clue how to do this problem: lim---->2 then thees this little dash slightly above the 2 and then its |x-2|/(x-2)

35. ## Math

FIND THE LIMIT!!! lim x--->3 sqrt(2x+3)- sqrt (3x)/(x^2-3x) I keep getting zero is this right?

36. ## Algebra 2

The deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is \$150, and the deposit for month 5 is \$180. Answer these questions 1.what is common differences for each month? \$15 2.write explicit formula for

37. ## Algebra 2

Will someone please check if I am right???? find the second and third term of the arithmetic sequence -7, __,__,-22,-27... Options: -12,-15*** My Answer -17,-12 -10,-17 -12,-17

38. ## quick english help

in which sentence is the underlined infinitive or infinitive phrase function as a direct object? c. After all that exercise, the runners needed *to drink water*. d.Just as the mayor was about *to give an award*, it began raining. I would say its d?

1. ## Calculus

(-1,-1), (0,0) and (1,1). The four midpoints are -3/4, -1/4, +1/4, and +3/4. Each vertical strip has a width of 1/2. The lengths of the 4 strips are: -27/64-(-3/4); -1/64-(-1/4); 1/4 - 1/64; and 3/4-27/64; simplifying these, you get 21/64, 15/64, 15/64,

posted on May 25, 2017
2. ## Calculus

For the first one i think the integral is from -1 to 1 for the two functions, because they intersect at (-1,1) (0,0) and (1,-1)

posted on May 25, 2017
3. ## One more question Calculus

Thank you!

posted on May 25, 2017

Thank you!

posted on May 25, 2017

Thank you!

posted on May 25, 2017

yes! thank you!

posted on May 25, 2017

so we would get 9.05584?

posted on May 22, 2017
8. ## One more question Calculus

So the total would be 1353.333 feet?

posted on May 22, 2017

posted on May 22, 2017

Ok, so exactly how would I find the amount of water? I am confused now.

posted on May 22, 2017
11. ## Calculus really quick check

Thank you!!

posted on May 22, 2017

Well that was my issue with the second one is I originally got that answer but it isn't an option.

posted on May 22, 2017

Thank you!

posted on May 22, 2017

Thank you!

posted on May 22, 2017
15. ## Calculus I'm really confused

Thank you!

posted on May 9, 2017
16. ## Calculus

Oh thank you!!!

posted on May 2, 2017
17. ## Calculus

for the second integral i got (sqrt 3)/60 how did you get (sqrt 3)/120?

posted on May 2, 2017
18. ## Calculus

I know it is pi (integral from zero to 1)then I get confused

posted on May 1, 2017
19. ## Calculus

So the answer would be 1.0947?

posted on May 1, 2017
20. ## Calculus

Thank you!!!!

posted on April 29, 2017
21. ## Math Calc

So my updated answer would be that the possible error is the volume of the cylinder is 63.87 in^3?

posted on January 11, 2017
22. ## Math Calc

r = 4 in. h = 12 in. V = pi*r^2 * h = 3.14*4^2 * 12 = 602.88 m^3. r = 4.2 in. h = 12.2 in. V = 3.14*4.2^2 * 12.2 = 675.75 in^3 675.75-602.88 =72.87 in^3? is that right?

posted on January 11, 2017
23. ## Calculus

oh ok thank you!!!! sorry

posted on January 11, 2017
24. ## Calculus

wait its 3 right?

posted on January 11, 2017
25. ## Calculus

Yes I read it I still don't get it and 0 isn't an answer choice.

posted on January 11, 2017
26. ## Calculus

posted on January 11, 2017
27. ## Calculus

ok THANK YOU!!!!!!!

posted on January 11, 2017
28. ## Calculus

what is the difference between the two?

posted on January 11, 2017
29. ## Calculus

Thank you!!! :)

posted on January 5, 2017
30. ## Calculus

Let h = height of water Let r = radius of surface of water By similar triangles, r/h = 6/12 = 0.5, so r = 0.5h The volume of the water is: v = (1/3) * pi * r^2 * h v = (1/3) * pi * (0.5h)^2 * h v = (1/12) * pi * h^3 dv/dh = 0.25*pi*h^2 The question tells

posted on January 5, 2017
31. ## Math Calc

*cant

posted on January 5, 2017
32. ## Math

I got -1

posted on December 29, 2016
33. ## Math

Thank you!!!!!!!

posted on December 27, 2016
34. ## Math

thank you!!!

posted on December 26, 2016
35. ## Math

f(x)=3,1,6 f'(x)=2,5,7 Just in case u cant read the chart

posted on December 26, 2016
36. ## Math

THANK YOU!!!!!!!!!!!

posted on December 7, 2016

You posted an entire test on here and expect people to do it for you?! Do your own tests!!!!!!!!!!!

posted on April 4, 2016
38. ## Algebra 2

is this right???

posted on March 31, 2016
39. ## Algebra 2

Thank you!

posted on March 31, 2016
40. ## Algebra 2

105+15n 285 month 27 these are my other answers

posted on March 31, 2016
41. ## English 9 - HELP!

posted on March 6, 2016
42. ## quick english help

Thanks!:)

posted on November 27, 2013
43. ## quick english help

wait, wouldn't it be c because the verb needed ends in ed?

posted on November 27, 2013
44. ## chem-help

hot pants

posted on November 20, 2010