Recent content by mustang

  1. M

    Find the derivative of F(x) = (8x^3 - 1)/(2x - 1), is this right?

    Homework Statement 22. Divide the expression before differentiating. F(x) = (8x^3 - 1)/ (2x - 1) Homework Equations F'(x) = An^(x-1) The Attempt at a Solution F(x) = [(8x^3) / (2x - 1)] - [(1)/(2x - 1)] = [(4x^2)/(1)] - [(1) / (2x - 1)] = (4x^2) - (2x-1)^-1 F'(x) = (8x...
  2. M

    Cooling with Liquid Nitrogen & Melting Aluminum Cans: Energy Calculations

    Problem 2. Liquid nitrogen, which has a boiling point of 77 K, is commonly used to cool substances to low temperatures. How much energy must be removed from 1.4 kg of gaseous nitrogen at 77 K for it to completely liquefy? Assume the latent heat of liquid nitrogen is 2.01 *10^5 J/kg Answer...
  3. M

    Just these two problems I'll be done.

    Just these two problems ! I'll be done. :) Problem 12. Given: specific heat of water = 4186 J/kg degrees Ceicuis and water's latent heat of fusion = 3.33 *10^5 J/kg. A 0.012 kg cube of ice at 0.0degrees Ceicuis is added to 0.459 kg of soup at 80.4degrees Ceicuis. Assuming that the soup...
  4. M

    What is the final temperature of the soup after the ice has melted?

    I have solved all of my problems for my homework except for 12 and 13. Where I am clueless. Need step-by-step help. -Logic is a systematic method of coming to the wrong conclusion with confidence. (Manley's Maxim)
  5. M

    What is the final temperature of the soup after the ice has melted?

    rds to problem 12 I used m*c*delta T=m*c*delta T where I used the c as 4186J/kg*C for both of the specific heats. Is this right?
  6. M

    What is the final temperature of the soup after the ice has melted?

    some help! Problem 011. A sample of lead used to make a lead sinker for fshing has an initial temperature of 25.7degrees C and is poured into a mold immediately after it has melted. How much energy is needed to melt 0.274 kg of lead? Assume the specifc heat, the latent heat and the...
  7. M

    What is the final temperature of the soup after the ice has melted?

    Problem 9. A student drops metallic objects into a 224 g steel container holding 325 g of water at 28±C. One object is a 472 g cube of copper that is initially at 87 degrees C, and the other is a chunk of aluminum that is initially at 9 degreesC. To the students's surprise, the water...
  8. M

    Proving 1+2+4+...+2^(n-1)=2^(n)-1

    Problem 16. Show that 1+2+4+...+26(n-1)=2^(n)-1 I first decided to use the formula: a_n=a_1*r^(n-1) Problem24. Find the sum of the series 1-3+5-7+9-11+...+1001. Problem 26. Suppose a doctor earns $40,000 during the first year of practice. Suppose also that each succeeding year the...
  9. M

    What is the mass of the aluminium chunk?

    Regards to problem 9 Could you go more in dept with problem 9. Water+ aluminium = copper Water : m=325g 28 degrees Celciusus aluminium: m=? specifc heat: 899 J/kg degrees C copper: m=472g; temp=87 degrees C specifc heat: 387 J/kg degrees C
  10. M

    Solve Parabola Problem 45: Vertex, Axis of Symmetry, Focus, and Directrix

    This is what I have done: x=(y2- (3/2)y )+ 15 = 4(y-0.75)^2 +15-.5625 = 4(y-0.75)^2+231/16 Is this right?
  11. M

    Solve Parabola Problem 45: Vertex, Axis of Symmetry, Focus, and Directrix

    Find the vertex, axis of symmetry, focus, and directrix of each parabola. Indicate whether the vertex is a max. or min. point. Problem 45. x=4y^2 - 6y + 15
  12. M

    What is the mass of the aluminium chunk?

    Problem 7. Given; specific heat of water=4186 J/kg* degrees Celcius Brass is an alloy made from copper and zinc. A 0.66 kg brasss sample at 98.6 degrees Celciusus is dropped into 2.33 kg of water at 4.6 degrees Celcius. If the equilibrium temperature is 7.0 degrees Celciusus, what is the...
  13. M

    Geometric Sequence; Arithmetic Sequence w/o 2,3,7

    Problem 8. Find x & y if the sequence 2y, 2xy, 2, xy/2,...is geometric. Problem 9. Find an arithmeitc sequence none of whose terms are divisible by 2, 3, or 7. Prtoblem 10. Consider two arithmetic sequences: A:3, 14, 25.. B: 2, 9 , 16, ... Write the first five...
  14. M

    Find the number of multiples of 7 between 30 and 300

    Problem 3. Find the number of multiples of 7 between 30 and 300. Problem 4. How many 4-digits numbers are not divisible by 11? Problem 5. True or false? If the sequence a, b, c is arithmetic, then the sequence 2^a, 2^b,2^c is geometric. Explain.
  15. M

    How Does the Ideal Gas Law Solve Temperature and Volume Changes in Gases?

    What would the values of the pressures be if they give you just the volumes and temperatures?
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