# Posts by Ke\$ha

Total # Posts: 82

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, and 21/64. So the area ...
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)
3. ### 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)

Thank you!
5. ### 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.

Thank you!

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.

Thank you!

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

yes! thank you!

find d/dx (integral from 2 to x^4) tan(x^2) dx tan(x^4)^2*4x^3 MY ANSWER
12. ### One more question Calculus

So the total would be 1353.333 feet?
13. ### 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 distance the car travels in...

so we would get 9.05584?

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

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 is in the bucket at ...

Thank you!!
19. ### 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 concave down. MY ANSWER...

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 equation so from 0 ...

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

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 4-t^2) dt (0, 4pi) (0, 2pi...

Thank you!

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) passes through the origin ...

Thank you!

Which of the following functions grows the fastest as x grows without bound? f(x)=x^2 g(x)=x^2+5x <<<<MY ANSWER h(x)=(sqrt x^4+2x) They all grow at the same rate Compare the growth rate of the functions f(x)=4^x and g(x)=(sqrt 16^x+2^x) f(x) grows faster than g(x) ...

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) R(t)--1.95---2.5---2.8----4.00...
28. ### 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 equal to 9 and let g of...

Thank you!
30. ### Calculus I'm really confused

solve the differential equation dy/dx=y^2/x^3 for y=f(x) with condition y(1)=1.
31. ### 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.
32. ### Calculus

Oh thank you!!!
33. ### Calculus

for the second integral i got (sqrt 3)/60 how did you get (sqrt 3)/120?
34. ### 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 from 0 to 1) (x-x^2...
35. ### Calculus

I know it is pi (integral from zero to 1)then I get confused
36. ### 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
37. ### 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.
38. ### Calculus

So the answer would be 1.0947?
39. ### Calculus

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

Thank you!!!!
41. ### 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
42. ### Math Calc

So my updated answer would be that the possible error is the volume of the cylinder is 63.87 in^3?
43. ### 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?
44. ### 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.
45. ### Calculus

oh ok thank you!!!! sorry
46. ### Calculus

wait its 3 right?
47. ### Calculus

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

49. ### Calculus

what is the difference between the two?
50. ### Calculus

ok THANK YOU!!!!!!!
51. ### Calculus

Thank you!!! :)
52. ### 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 us that dv/dt = -3 By ...
53. ### 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 exact answer showing...
54. ### 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 need a y value?
55. ### 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 f(x)=1/x^2 on...

*cant
57. ### 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.
58. ### 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!!!!!!!
59. ### 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.

I got -1
61. ### 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?
62. ### 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 2 4 6 8 10 12 14 T 73 ...
63. ### Math

Thank you!!!!!!!
64. ### Math

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

thank you!!!
66. ### Math

f(x)=3,1,6 f'(x)=2,5,7 Just in case u cant read the chart
67. ### 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
68. ### Math

THANK YOU!!!!!!!!!!!
69. ### 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)
70. ### Math

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

is this right???
72. ### 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                ∞...
73. ### Algebra 2

105+15n 285 month 27 these are my other answers
74. ### 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 arithmetic sequence 3.amount ...

Thank you!
76. ### 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

Thanks!:)
79. ### quick english help

wait, wouldn't it be c because the verb needed ends in ed?
80. ### 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?