# Salman

Popular questions and responses by Salman
1. ## Calculus

The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

2. ## Calculus

Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant between the circles x^2+y^2=64 and x^2 - 8x + y^2 = 0.

3. ## Math

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per

4. ## Economics

Socrates owns just one ship. The ship is worth \$200 million dollars. If the ship sinks, Socrates loses \$200 million. The probability that it will sink is .02. Socrates' total wealth, including the value of the ship is \$225 million. He is an expected

5. ## Calculus

Find the length of the entire perimeter of the region inside r = 16sin(theta) but outside r = 4.

6. ## Calculus

Consider the solid that lies above the square (in the xy-plane) R=[0,2]*[0,2], and below the elliptic paraboloid z=100−x^2−4y^2. (A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand

7. ## Calculus

A rancher wants to fence in an area of 500000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the shortest length of fence that the rancher can use?

8. ## Calculus

The circumference of a sphere was measured to be 74.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area? Also Estimate the relative error in the calculated surface area.

9. ## English

Identify the italicized phrase in the following sentence. Jolene went to the city to find a new job.

10. ## Calculus

Match each polar equation below to the best description. Each answer should be C,F,I,L,M,O,or T. DESCRIPTIONS C. Cardioid, F. Rose with four petals, I. Inwardly spiraling spiral, L. Lemacon, M. Lemniscate, O. Outwardly spiraling spiral, T. Rose with three

11. ## Calculus

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)

12. ## Calculus

Match each polar equation below to the best description. Each answer should be C,F,I,L,M,O,or T. DESCRIPTIONS C. Cardioid, F. Rose with four petals, I. Inwardly spiraling spiral, L. Lemacon, M. Lemniscate, O. Outwardly spiraling spiral, T. Rose with three

13. ## Calculus

The circumference of a sphere was measured to be cm with a possible error of cm. Use linear approximation to estimate the maximum error in the calculated surface area.

14. ## Calculus

Evaluate the triple integral ∫∫∫_E (x)dV where E is the solid bounded by the paraboloid x=10y^2+10z^2 and x=10

15. ## Calculus

For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT (x^2)/(sqrt(7x^2+4))dx dx x=?

16. ## Calculus

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters

17. ## Statistics

Suppose that either of two instruments might be used for making a certain measurement. Instrument 1 yields a measurement whose p.d.f. is f1(x)=2x, 0

18. ## Math

Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4) I just can't seem to find the limits, of x,y and z

19. ## Calculus

The linear approximation at x = 0 to sin (5 x) is A + B x. Find A and B?

20. ## physics

A machine gun fires 20 bullets per second in to a target. Each bullet weight 10 gm and has a speed of 1500m/s; Find the Force necessary to hold the gun in position.

21. ## Economics

Socrates owns just one ship. The ship is worth \$200 million dollars. If the ship sinks, Socrates loses \$200 million. The probability that it will sink is .02. Socrates' total wealth, including the value of the ship is \$225 million. He is an expected

22. ## Calculus

Find the total derivative dz/dt, given z=f(x,y,t) where x=a+bt and y=c+dt

23. ## Calculus

Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows: Let f(x)= x^(1/3) . The equation of the tangent line to f(x) at x=8 can be written in the form y=mx+c where m=1/12 and c=4/3: Using this, find our approximation for

24. ## Calculus

Represent the function f(x)= 10ln(8-x) as a Maclaurin series and Find the radius of convergence

25. ## Calculus

Match each polar equation below to the best description. Each answer should be C,F,I,L,M,O,or T. DESCRIPTIONS C. Cardioid, F. Rose with four petals, I. Inwardly spiraling spiral, L. Lemacon, M. Lemniscate, O. Outwardly spiraling spiral, T. Rose with three

26. ## Math

Use linear approximation, i.e. the tangent line, to approximate 1.6^3 as follows: Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 2 can be written as y=12x-16 Using this, we find our approximation for 1.6 ^3 is ???????

27. ## Math

Find the derivative of the inverse of the function f(x)=6x+(9x^21) when x=-15

28. ## Calculus

The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity.

29. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

30. ## Maths

The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity.

31. ## chemistry

If you added 4mL NaOH 1 M to your 100 mL buffer, would it still be a usable buffer according to our conventions? Explain why or why not.

32. ## Stats and Data

Suppose that either of two instruments might be used for making a certain measurement. Instrument 1 yields a measurement whose p.d.f. is f1(x)=2x, 0

33. ## Calculus

The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity.

34. ## Calculus

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.040000 cm thick to a hemispherical dome with a diameter of 60.000 meters

35. ## Math

A fence 4 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?

36. ## Math

prove lim x->0 sinx/x=1

37. ## Math

t noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per

38. ## Calculus

For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT (x)/(sqrt(-191-8x^2+80x))dx x=?

39. ## Economics

A computer company produces hardware and software using the same facility. (i.e., with the same L and K). The total cost of producing software (S) and hardware (H) equals: TC = a S + b H - d S H, where a, b, and d are positive constants. Are there

40. ## Maths

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per

41. ## Math

Suppose that either of two instruments might be used for making a certain measurement. Instrument 1 yields a measurement whose p.d.f. is f1(x)=2x, 0

42. ## Calculus

Use Newton's method to approximate a root of the equation (2 x^3 + 4 x + 4 =0) as follows. Let (x_1 = -1\) be the initial approximation. The second approximation (x_2) is ? and the third approximation (x_3) is ?

43. ## Calculus

Determine where the absolute extrema of f(x)=-3(x^2)+7x on the interval [1,3] occur. 1. The absolute maximum occurs at = 2. The absolute minimum occurs at =

44. ## Math

A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 10 , how fast is the depth of the water increasing when the water is 17 feet deep?

45. ## Physics

Half life of radium is 44 years.The sample will reduce to 50% of its orignal value after how many years?

46. ## Calculus

For the following integral find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral. INT((4x^2-3)^1.5) dx x=?

47. ## Economics

A computer company produces hardware and software using the same facility. (i.e., with the same L and K). The total cost of producing software (S) and hardware (H) equals: TC = a S + b H - d S H, where a, b, and d are positive constants. Are there

48. ## Calculus

Evaluate the triple integral ∫∫∫_E (x+y)dV where E is bounded by the parabolic cylinder y=5x^2 and the planes z=9x, y=20x and z=0.

49. ## Math

The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity.

50. ## Calculus

Find the area enclosed between f(x)=0.4x^2+5 and g(x)=x From x=-5 to x=8

51. ## Maths

Suppose that either of two instruments might be used for making a certain measurement. Instrument 1 yields a measurement whose p.d.f. is f1(x)=2x, 0

52. ## Calculus

Represent the function f(x)=10ln(8-x) as a Maclaurin series. sum_{n=0}^infty (c_n) (x^n) The coefficients are C_0= 10ln8 C_1=-10/(8) C_2=-10/128 C_3=-20/3072 C_4=-60/98304 FIND THE RADIUS OF CONVERGENCE: R=?

I have to give a presentation for which i need to think of a business plan, work out its intricacies and plan its operations. I will need to focus on • Nature of Business • Target Market • Startup strategy • Financial Projections & Feasibility •

54. ## Math

If p,q and r are whole numbers and p + 1/[(q+1)/r] = 25/19, what is the value of q ?

55. ## Calculus

Evaluate the triple integral ∫∫∫_E (xy)dV where E is the solid tetrahedon with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4)

56. ## Calculus

Represent the function f(x)=10ln(8-x) as a Maclaurin series. sum_{n=0}^infty (c_n) (x^n) The coefficients are C_0= 10ln8 C_1=-10/(8) C_2=-10/128 C_3=-20/3072 C_4=-60/98304 FIND THE RADIUS OF CONVERGENCE: R=?

57. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

58. ## Calculus

For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT x(sqrt(8x^2-64x+120))dx x=?

59. ## Calculus

The circumference of a sphere was measured to be 74.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area? Also Estimate the relative error in the calculated surface area.

60. ## Math

Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 11 feet

61. ## Calculus

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)

62. ## math

if a river flows south at 10 km/h and a boat moves north against the current at a rate of 18km/hr, what is the net actual speed of the boat in the water

63. ## Calculus

Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4) I just can't seem to find the limits, of x,y and z

64. ## Calculus

Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y=3x^2 and the planes z=0,z=2 and y=1.

65. ## Maths

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the

66. ## Math

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the

67. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

68. ## Calculus

Evaluate the triple integral ∫∫∫_E (z)dV where E is the solid bounded by the cylinder y^2+z^2=1225 and the planes x=0, y=7x and z=0 in the first octant.

69. ## Calculus

Evaluate the triple integral ∫∫∫_E (x^2.e^y)dV where E is bounded by the parabolic cylinder z=1−y^2 and the planes z=0, x=1 and x=−1.

70. ## Calculus

Find the maximum and minimum values of f(x,y)=3x+y on the ellipse x^2+4y^2=1

71. ## Calculus

f(x)=[sqrt((x-68)^2 + x^3-116x^2-417x+267460)] - 10 To find the minimum value of we need to check the value at the following three points (in increasing order). (You will need to use a numerical method, like Newton-Raphson to find one of these points.)

72. ## Writing

Someone plz give me interesting topics for argumentative essay

73. ## Social Studies

What did the Europeans call the Native Americans? Indians "Noble savages' or just "Savages' were also commonly used Are you sure about savages and not Indians? Columbus was the first person to call the natives Indians because he thought he was in the East

74. ## Calculus

Evaluate the triple integral ∫∫∫_E (xyz)dV where E is the solid: 0

75. ## Calculus

Use a triple integral to find the volume of the solid enclosed by the paraboloid x=8y^2+8z^2 and the plane x=8.

76. ## Calculus

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the

77. ## Calculus

For the following integral find an appropriate TRIGNOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT((4x^2-3)^1.5) dx x=?

78. ## Math

intergrate(e^5x)/((e^10x)+4)dx

79. ## Maths

There is a point (P) on the graph of [x^2+y^2- 136 x + 12 y + 4560 = 0] and a point(Q) on the graph of [(y + 6)^2 = x^3 - 116 x^2 - 417 x + 267460] such that the distance between them is as small as possible. To solve this problem, we let ((x,y) be the

80. ## Calculus

Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4)

81. ## Calculus

Consider the transformation T:x=(41/40)u−(9/41)v , y=(9/41)u+(40/41)v A. Computer the Jacobian: delta(x,y)/delta(u,v)= ? B. The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S:−41

82. ## Calculus

A system of equations is given by: F1(x,y,a,b) = x² + bxy + y² - a – 2 = 0 F2(x,y,a,b) = x² + y ² - b² + 2a + 3 = 0 Where x and y are endogenous variables while a and b are exogenous variables. Compute the differentials δx/δb and δy/δa at the

83. ## Calculus

A system of equations is given by: F1(x,y,a,b) = x² + bxy + y² - a – 2 = 0 F2(x,y,a,b) = x² + y ² - b² + 2a + 3 = 0 Where x and y are endogenous variables while a and b are exogenous variables. Compute the differentials δx/δb and δy/δa at the

84. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

85. ## Calculus

Find the maximum and minimum values of f(x,y,z)=3x+1y+5z on the sphere x^2+y^2+z^2=1

86. ## Economics

The Keynesian Multiplier under lump sum taxes A. Smaller than that under proportional tax B. Equal to that under proportional tax C. Larger than that under proportional tax D. Can be larger or smaller depending upon the size of the tax Choose the right

87. ## Economics

A system of equations is given by: F1(x,y,a,b) = x² + bxy + y² - a – 2 = 0 F2(x,y,a,b) = x² + y ² - b² + 2a + 3 = 0 Where x and y are endogenous variables while a and b are exogenous variables. Compute the differentials δx/δb and δy/δa at the

88. ## Economics

what does the positive slope of a line with Government expenditure (G) represent when Y=Total expenditure is on the x axis. For simplification, in the equation G=a+tY, where a and t are constants, what does t represent?

89. ## Calculus

Find the area of the region bounded by: r=7-1sin(theta)

90. ## Math

For each of the given functions f(x), find the derivative (f^−1)'(c) at the given point c, using Theorem , first finding a=(f^−1)(c) when c=-15

91. ## calculus

Find the volume of the solid obtained by revolving the graph of y=7x*(4-x^2)^(1/2) over [0,2] about the y-axis

92. ## Calculus

Find the partial derivative y with respect to s for the following function: y=[((x1)^2)+(x1)(x2)+((x2)^2)]/((x1)+(x2)) where x1=s+2 and x2=s^2+t^2+t . x1 means x subscript 1 x2 means x subscript 2

93. ## Calculus

A system of equations is given by: F1(x,y,a,b) = x² + bxy + y² - a – 2 = 0 F2(x,y,a,b) = x² + y ² - b² + 2a + 3 = 0 Where x and y are endogenous variables while a and b are exogenous variables. Compute the differentials δx/δb and δy/δa at the

94. ## Calculus

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the

95. ## Math

f(x)=[sqrt((x-68)^2 + x^3-116x^2-417x+267460)] - 10 To find the minimum value of we need to check the value at the following three points (in increasing order). (You will need to use a numerical method, like Newton-Raphson to find one of these points.)

96. ## Math

Consider the function f(x) = 7 x + 3 {x ^ -1 }. For this function there are four important intervals: (-infinity, A], [A,B),(B,C), and [C,infinity) where A, B and C are either critical numbers or points at which f(x) is undefined. Find A, B and C

97. ## science chemistry

Explain how Particles moves in solid lead,molten solid,gaseous lead in these three state of matter

98. ## Economics

If investment is dependent on income in addition to interest rate (assuming C and G have usual forms) then the Keynesian multiplier will A. Not Exist B. Equal to as compared to the case where investment is not dependent on Y C. Smaller as compared to the

99. ## Calculus

Find the partial derivative y with respect to s for the following function: y=[((x_1)^2)+(x_1)(x_2)+((x_2)^2)]/((x_1)+(x_2)) where x_1=s+2 and x_2=s^2+t^2+t . The underscore (_) stands for subscript