# maath

Popular questions and responses by maath
1. ## chemistry

The enthalpy of fusion of ice is 6.020 kJ/mol. The heat capacity of liquid water is 75.4 J/mol degrees Celsius. What is the smallest number of ice cubes at 0 degrees Celsius, each containing one mole of water, necessary to cool 500. g of liquid water

2. ## chemistry

Give the maximum number of electrons in an atom that can have these quantum numbers. 1. n = 3, ℓ = 2, mℓ = -1, ms = 1/2 2. n = 2, ℓ = 1, mℓ = -1, ms = -1/2

3. ## chemistry

Terephthalic acid is an important chemical used in the manufacture of polyesters and plasticizers. It contains only C, H, and O. Combustion of 21.79 mg terephthalic acid produces 46.18 mg CO2 and 7.10 mg H2O. If 0.250 mol of terephthalic acid has a mass of

4. ## math

what is the absolute value of infinity? is it just zero?

5. ## chemistry

A 152g sample of ice at -37 degrees Celsius is heated until it turns into liquid water at 0 degrees Celsius. Find the change in heat content of the system. I'm really confused on how to solve this question knowing the fact that the state of the system is

6. ## history

What is a quasi-martial law? I looked this up on google but there's no direct answer to it.

7. ## math

The volume enclosed by a sphere of radius r is (4/3)πr^3. The surface area of the same sphere is 4πr^2. You may already have noticed that the volume is exactly (1/3)r times the surface area. Explain why this relationship should be expected. One way is to

8. ## calculus

One more question... If you have f(x) = xsinx and the question is asking for the fourth degree Taylor polynomial about x=0, can you use the sinx Taylor polynomial series equation? I'm confused because there's the x in front so I don't know how to

9. ## math - probability

What is the probability that this year's graduation will fall on the birthday of exactly one of the 336 Seniors? What is the probability that there is more than one such Senior?

10. ## chemistry

A chemist in a galaxy far, far away performed the Millikan oil drop experiment and got the following results for the charges on various drops. 2.52 ✕ 10-12 zirkombs 9.45 ✕ 10-12 zirkombs 3.78 ✕ 10-12 zirkombs 6.30 ✕ 10-13 zirkombs Use these data to

11. ## math

How do you find the value of m in the equation y=k+asin(mx)?

12. ## calculus

What is an example of a convergent alternating series where the conditions of the alternating series test do not hold?

13. ## calculus

What's an example of a short problem where either the first or second derivative test can be applied but the first derivative test is easier? What's an example of a short problem where the second derivative test is easier?

14. ## math

what are several ways to parametrize the parabola y=x^2?? or just how do you parametrize a parabola in general?

15. ## calculus

Find the Taylor series centered at x = -1 for the function f(x) = x(e^x)

16. ## math

Find the length of the curve y = x^2 - (1/8)lnx, 1 ≤ x ≤ e

17. ## chemistry

Why do some compounds and elements exist as a liquid at room temperature, while others are solids and gases? What forces are involved?

18. ## math

Find the focus and directrix for the parabola y=ax^2. What special meaning does the expression 1/(4a) have?

19. ## chemistry

Several compounds containing only sulfur (S) and fluorine (F) are known. Three of them have the following compositions. i. 1.188 g of F for every 1.000 g of S ii. 2.375 g of F for every 1.000 g of S iii. 3.563 g of F for every 1.000 g of S How do these

20. ## chemistry

You have a chemical sealed in a glass container filled with air. The glass container has a mass of 200.0 grams and the chemical has a mass of 650 grams. The total mass of the set-up is 850 grams. The chemical is ignited by means of a magnifying glass

21. ## chemistry

How do you write the chemical formula for ammonium acetate and ammonium hydrogen sulfate?

22. ## math

Let F1 = (0,2), F2 = (0,-2), and P = (x,y). Use the distance formula to convert the equation PF1 + PF2 = 6 into Cartesian form. Simplify your answer until it reaches the form hx^2+ky^2=m. I tried solving this but I got stuck with all the square roots and

23. ## math

Find a vector of length 3 that is perpendicular to [2,1,-2]

24. ## math

If xy+x+y=1, find dy/dx.

25. ## calculus

Does the series 1/n converge to zero? I know that it is a harmonic series, but shouldn't it converge because as x gets really large to infinity, 1/n becomes zero??

26. ## calculus

Expand 4/(x^2+4) as a power series centered at 0.

27. ## math

In the recent century, the Belgium population grows following the logistic equation. Predict its population in 2020 given the following data: Year 1900 1950 2000 Population (mil) 6.69 8.64 10.24

28. ## math

Solve the following differential equation algebraically dy/dx = xy^2 + 4x y(0) = 0 I reached the point dy/(y^2+4) = xdx but I don't know how to solve the left side of the equation.

29. ## biology

Humans have yet another antigen system on their red blood cells. The MN blood group refers to a different antigen controlled by codominant alleles (MM, MN, and NN). A woman with blood types (O, MN, Rh+) had a baby with a man with the blood types (AB, N,

30. ## math

how do you take the antiderivative of √(1+4x^3)

31. ## math

Find the area of the region bounded by the curve y=x^2*e^x and the x-axis, 0≤x≤1

32. ## science

what happens when you change an OH to an H on a nucleotide?

33. ## math

If F'(x)=√1+x^3 and F(1)=5, then what is F(3)? (1+x^3) is all under the square root

34. ## biology

In the process of alcohol fermentation, 2 NADH molecules are converted to 2 NAH+ as energy from the NADH is used to drive the formation of ethanol. Explain why there is a need to add energy to a process whose purpose is to extract energy from glucose. I

35. ## math

Suppose f(1)=1 and f'(x)≤2 for x≥0. Apply the MVT to the interval [1,x] to prove that f(x)≤2x-1 for all x>1. Verify all the conditions of MVT are satisfied.

36. ## math

If three dice are tossed, their sum could be 7. What is the probability of this? I'm guessing it's something to do with combinations?? I wrote down all the combinations of it equaling 7: 3, 3, 1 // 4, 2, 1 // 1, 5, 1 So I thought that since there are five

37. ## chemistry

why do molecules and ions with the same number of atoms and valence electrons have the same or similar molecular shape?

38. ## math

The focal points of a hyperbola are (0,6) and (0,-6), and the point (5,6) is on one of its branches. Find coordinates for the points where the hyperbola intersects its major axis. Also find equations for the asymptotes, and use them to help you draw the

39. ## Chemistry

A 5.00 g sample of aluminum pellets (specific heat capacity = 0.89 J/°C·g) and a 10.00 g sample of iron pellets (specific heat capacity = 0.45 J/°C·g) are heated to 100.0°C. The mixture of hot iron and aluminum is then dropped into 94.9 g of water at

40. ## chemistry

Consider a mixture of air and gasoline vapor in a cylinder with a piston. The original volume is 40. cm^3. If the combustion of this mixture releases 950. J of energy, to what volume will the gas expand against a constant pressure of 650. torr if all the

41. ## chemistry

Calculate the average kinetic energy of the N2 molecules in a sample of N2 gas at 266 K and at 532 K. I got 32.7 and 65.5 but they're wrong??

42. ## english

What is the deeper meaning of the poem, "A Lover" by Amy Lowell? This is her poem: "If I could catch the green lantern of the firefly I could see to write you a letter."

43. ## math

The height of an object moving up and down is described by y=72+40cos18t (in degree mode). To at least three decimal places, confirm that the average speed of the object is 2/pi times its greatest speed.

44. ## math

There are many examples of graphs that have period 60 and whose y-values vary between -8 and 8. First, find a formula for such a function f, given that f(0)=8. Next, find a formula for such a function g, given that g(0)=0. For your f, also find the three

45. ## Chemistry

Thallium(I) hydroxide is a strong base used in the synthesis of some organic compounds. Calculate the pH of a solution containing 2.57 g TlOH per liter. I got 1.44 but I'm pretty sure that's wrong?

46. ## math

Let F=(0,0) be the focus and the line y=-6 be the directrix. Plot several points P that are half as far from the focus as they are from the directrix. The configuration of all such points is an ellipse. Identify the four points where the ellipse crosses

47. ## chemistry

What is the largest number of ions in any of your formulas? What is the total positive charge and the total negative charge in each formula with this many ions? Give two examples of these formulas.

48. ## math

Find p(p^-1(x)) when p(x)=x^2-4 I tried solving this and I got x^4-x+20 but that has no solution so I'm a little confused.

49. ## math

Explain the notation M^-1 used for the inverse of a square matrix M. I thought M^-1 would be a normal inverse matrix except the numbers would be vertically switched like in fractions...? Not sure though.

50. ## math

Show that the surface area of a sphere is two thirds of the total surface area of any cylinder circumscribed around the sphere (the sphere therefore touches both bases of the cylinder as well as its lateral surface).

51. ## math

Is tan(90-theta) the same as tan(theta)???

52. ## math

Show that any dilation transforms any figure into a similar figure.

53. ## math

Show that any dilation transforms any figure into a similar figure.

1. ## calculus

I don't know how to tell if the first derivative test is easier or the second is easier...how would you figure that out?

posted on March 19, 2020
2. ## calculus

Just watched it and it makes more sense. Thank you so much!

posted on February 11, 2020
3. ## calculus

Oh, got it. Thank you!!

posted on February 10, 2020
4. ## calculus

ohh that makes sense...but is there a way of solving it without using Taylor series?

posted on February 3, 2020
5. ## math

sorry I responded too early, thank you so much

posted on January 18, 2020
6. ## math

I got that, but I wasn't sure how to integrate dy/(x^2+4)

posted on January 18, 2020
7. ## math

how would you simplify that to a fraction

posted on December 8, 2019
8. ## math

ohh that makes sense, thank you so much!! sorry I saw this so late

posted on October 22, 2019
9. ## math

MVT --> Median Value Theorem

posted on October 21, 2019
10. ## chemistry

Ohh okay, all these answers make sense. Thank you so much!

posted on March 18, 2019
11. ## chemistry

how do I calculate the heat of fusion of ice??

posted on January 14, 2019
12. ## Chemistry

Okay got it thank you!

posted on January 14, 2019
13. ## math

Okay, that makes so much more sense. Thank you so much!

posted on November 7, 2018
14. ## math

Ohh okay got it thank you!

posted on September 15, 2018
15. ## chemistry

right thank you!

posted on September 13, 2018
16. ## math

okay, that makes sense. thank you!

posted on August 10, 2018
17. ## math

sorry my response is so late... I tried solving it again and I got the equation y=2+4sin(3x). I got the two because the graph is shifted 2 units up and I got the four from the graph being stretched vertically 4 times. Then I plugged in the point (30,6)

posted on August 9, 2018
18. ## math

what if you had a maximum point let's say (30,6) and a y-int of (2,0) and you had to find the equation of the graph? I get how to find the other variables just not m.

posted on August 8, 2018
19. ## math

okay thanks! also is there any way to simplify (cos^4(theta) - sin^4(theta)) / (cos^2(theta)*sin(theta))

posted on April 8, 2018