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Posts by henry

Total # Posts: 13,448

Calculus
A particle moves along the x-axis with velocity v(t) = sin(2t), with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = π seconds. Do I have to take the integral of the equation like ∫ sin(...

Calculus
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points) x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g &#...

Math Fractions
Total = X pages. Monday: 1/6 * x = x/6 Pages read. x-x/6 = 6x/6 - x/6 = 5x/6 Remaining. Tuesday: 2/5 * 5x/6 = x/3 Pages read. 5x/6 - x/3 = 5x/6 - 2x/6 = 3x/6 Remaining. Wednesday: 1/3 * 3x/6 = x/6 Pages read. 3x/6 - x/6 = 2x/6 = x/3 Remaining. x/3 = 60, X = 180 Pages.

physcis
a. V = Vo + g*Tr = 0, Tr = -Vo/g = -20/-32 = 0.625 s. = Rise time. Tf = Tr = 0.625 s. = Fall time from max ht. to top of bldg. h = Vo*T + 0.5g*T^2. h = 60 Ft., Vo = 20 Ft/s, g = 32 Ft/s^2, T = ?. Tr+Tf+T = Time to reach gnd. b. V^2 = Vo^2 + 2g*h. Vo = 20 Ft/s, g = 32 Ft/s^2, h...

Calculus
Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. f(x) grows faster than g(x) as x goes to infinity. g(x) grows faster than f(x) as x goes to infinity. f(x) and g(x) grow at the same rate as x goes to infinity. The rate of growth cannot be ...

Calculus
Which of the following functions grows the fastest as x goes to infinity? 3^x ln(x) e^4x x^10 I put e^4x but I thought that 3^x might have been it too. I know for sure that it is not ln(x) and x^10 because those grow much slower.

Calculus
Which of the following functions grows the slowest as x goes to infinity? x^e e^x ex they all grow the same rate. I think it is c because it does not have any exponents.

Calculus
The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is false? (4 points) The graph of f has an inflection point at x = 0. The graph of f has a relative maximum at x = 0. The graph of f is always concave down. ...

Physics
Oops!! Please disregard my first post. First Student: Xo = Cos60.34 = 0.4949 Yo = sin60.34 = 0.8690 Y = Yo + g*Tr = 0, Tr = -Yo/g = -0.8690/-9.8 = 0.0887 s. = Rise time. Tf = Tr = 0.0887 s. T = Tr+Tf = 0.0887 + 0.0887 = 0.1774 s. = Time in air. Dx = Xo*T = 0.4949 * 0.1774 = 0....

Physics
Xo = Cos60.34 = 0.4949 Yo = sin60.34 = 0.8690

physics
M1*V1 + M2*V2 = M1V + M2*V. 3250*44 - 1500*17 = 3250V + 1500V. V = ? Direction: North.

electronics
Normally, the zener is connected in parallel with the load; it tends to maintain a constant voltage across the load. The zener is protected by a series resistor through which the zener and load current flows. If the load is removed, all of the current flows through the zener ...

electronics
1. The voltage dropped across the diodes might not be equal or the voltages from the center-tapped transformer might not be equal. Therefore, you could have a defective transformer or diode. 2.In cases where there are large variations in the input voltage and the load, a zener...

Math
The errors in your problem makes it difficult to understand.

Algebra
(T1+T2+T3)/3 = 19, T1+T2+T3 = 3*19 = 57. (57+T4)/4 = 21, T4 = 27 Degrees.

Physical Science
F = M*a = 100,000-82,000 = 18000, 30,000*a = 18000, a = 0.6 m/s^2.

Math
My answer is B.

Physics
Energy = 0.5C*V^2 = 0.5*14.1*45^2 = 14,276 uJ. = 0.01428 J. Energy = 0.5*14.1*V^2 = 0.001428, V^2 = 2.03*10^-4, Vc = 1.425 Volts when 90% of it's energy is lost. 45/e^x = 1.425, e^x = 31.6, X = 3.45 = t/RC = t/1.13, 1.13*3.45 = 3.90 mS. = 3.90*10^-3 s. = Time to loose 90% ...

Physics
T = R*C = 0.08k * 14.1uF = 1.13 Milliseconds. a. 45/e^x = 4.5, e^x = 45/4.5 = 10, X = 2.303 = t/T = t/1.13, t = 1.13 * 2.303 = 2.60 mS = 2.6*10^-3 s. b. i = v/R = 4.5/80 = 0.056 Amps.

Physics
T1 = 460.8N.[68.9o] N. of W. a. -T1*Cos68.9 = -T2*Cos33.8, -T2 = -T1*Cos68.9/Cos33.8, T2 = 0.433T1 = 0.433*460.8 = 199.6 N.[33.8o]. b. Y = 460*sin68.9 + 199.6*sin33.8 = 540.2 N. M*g = 540.2, M = 540.2/9.8 = 55.12 kg.

Math/Finance
Assuming simple interest. P = Po + Po*r*t = 4000. 2000 + 2000*r*2 = 4000. r = APR expressed as a decimal.

Physics
d = 27.8 * 20 = 556 m. Head start. 0.5a*t^2 = 556 + 27.8t. 1.5t^2 = 556 + 27.8t. 1.5t^2 - 27.8t - 556 = 0. t = Time required for B to catchup. 0.5a*t^2 = Distance at which B catches up.

Physics
a. db = 10*Log(I/Io) = 130. 10*Log(I/10^-12) = 130. Log(I/10^-12) = 13. I/10^-12 = 10^13. I = 10 W/m^2. b. db = 10*Log(20/10^-12) = 133. Doubling the sound intensity increases the sound level by only 3 db.

physics
Incomplete.

SCIENCE
Incomplete.

Math
I chose b also.

Math
1. Correct. 2. Correct.

Basic electricity
The given units are incorrect.

science
20 minutes per hour makes no sense. So let's assume: Vo = 20m/s[53o]. Xo = 20*Cos53 = 12.0 m/s. Yo = 20*sin53 = 16.0 m/s. a. Y = Yo + g*Tr = 0, 16 - 9.8*Tr = 0, -9.8Tr = -16, Tr = 1.63 s. = Rise time. Tf = Tr = 1.63 s. = Fall time. T = Tr+Tf = 1.63 + 1.63 = 3.27 s. = Time ...

MATH HELP
My answer is b.

Math College Algebra (urgent before 2hours)
The zero of a function is the value of X when Y or F(x) = 0. In other words it is the solution to the function. Example: Y = 2x + 4 = 0, 2x = -4, X = -2. So x = -2 when y = 0: (-2,0). 2. g(y) = y^2-3y+2 = 0, C = 2 = (-1)*(-2), Sum = B = -3. (y-1)(y-2) = 0, y-1 = 0, Y = 1, y-2...

Science
10o W. of N. = 100o CCW. 10o E. of N. = 80o CCW. Fr = 1.8*10^6[100o] + 1.8*10^6[80o]=-3.126*10^5+1.773*10^5i + 3.126^10^5+1.773*10^5i = 3.546*10^5i = 3.546*10^5[90o] = 3.546*10^5N., Due North. = Resultant force. Work = Fr*d = 3.546*10^5 * 500 =

science
F1 = 15N[0o], F2 = 20N[135o]. F1+F2 = 15 + -14.1+14.1i = 0.9 + 14.1i = 14.2 N.[86.4o] = 0.89 + 14.18i F3 must be equal to F1+F2 in magnitude and 180o out of phase: F3 = 14.2N[86.4+180] = 14.2[266.4o].= 14.2[86.4o] S. of W. = -0.89 - 14.18i

Physics
a. Work = Change in kinetic energy: Work = 0.5M*V^2-0.5M*Vo^2, Vo = 0, Work = 0.5M*V^2 = 0.5*845*25^2 = 264,063 J. Po = W/t = 264063/60 = 4401 J/s. = 4401 Watts = Power out. Pi = 4401/0.95 = 4633 Watts = Power in. Pi = 12*I = 4633, I = 4633/12 = 386 Amps.

Maths
r = 35/4 = 8 3/4% = 8.75% = 0.0875. I = Po*r*t = 3000*(0.0875/12)*14 = 90.0875*

Physics
1. V^2 = Vo^2 + 2g*h. Vo = 0, g = 9.8 m/s^2, h = 80 m, V = ?. 2. 0.5g*t^2 = 80. g = 9.8 m/s^2, t = ?.

Physics
Wc = M*g = 35*9.8 = 343 N. Fp = 343*sin26 = 150.4 N. = Force parallel to the incline. Fn = 343*Cos26 = 308.3 N. = Normal. Fp-Fk = M*a. 150.4-0.33*308.3 = 35*a. 35a = 48.66. a = 1.39 m/s^2. V = Vo + a*t = 0 + 1.39*2.5 = 3.48 m/s.

physics
V^2 = Vo^2 + 2g*h, V = 0, Vo = 5m/s, g = -10m/s^2, h = ?.

physics
177 + 0.00506(T-28.7)177 = 116. 177 + 0.8956(T-28.7) = 116. 177 + 0.8956T-25.7 = 116. 0.8956T + 151.3 = 116. 0.8956T = 116-151.3 = -35.3. T = -39.4oC.

physics
F = M*a, F = 37.5 N, a = 2.80 m/s^2, M = ?.

Cal 2
The region bounded by y=3/(1+x^2), y=0, x=0 and x=3 is rotated about the line x=3. Using cylindrical shells, set up an integral for the volume of the resulting solid. The limits of integration are:

Biology
How are the following terms related to the process of transcription and one another? Eukaryotes, Prokaryotes, membrane-bound nucleus, introns, exons, precursor RNA (pre-mRNA), mature RNA, heterochromatin, euchromatin, and structural gene.

geometry
Or 7.5/7 = x/18, X = ?.

physics
Vector V1: Vx = -6.5 units. Vy = 0. Vector V2: V = 8.3[60o] Vx = 8.3*Cos60 = Vy = 8.3in60 = V1 + V2 = -6.5 + 8.3[60] = -6.5 + 4.15+7.19i = -2.35 + 7.19i = 7.56[71.9o] N. of W. = 108o CCW

physics
Do you mean constant velocity? If so, d = V*t, t = d/V.

physical science
d = 0.5a*t^2. d = 10 m, t = 45 s, a = ?.

mathematics
David: X years old. John: x+4 years old. Joe: x-2 years old. x + x+4 + x-2 = 41. Solve for x and add 8 years to John's age.

Pysics
D = -400 + 200[135o] + 100i = -400 - 141.4+141.4i + 100i = -541.4 + 241.4i = 593 km[24o] N. of W.

Science
1. V = Vo + a*t. V = 3.2 m/s, Vo = 1.2 m/s, t = 2.5 s, a = ?. 2. V = Vo + a*t. V = 34 m/s, Vo = 0, t = 2.5 s, a = ?. d = 0.5a*t^2. 3. r = 30m/4.2s. = 4. d = r*t, t = ?.

Math
The simplification process starts inside the expression: ((3x)^4/(6x)^3)^2 = (81x^4/216x^3)^2 = (3x/8)^2 = 9x^2/64.

Math
Y = 3x. 3 = The number of wheels per tricycle. X = The number of tricycles. Y = The total number of wheels to be ordered.

math
15, 5, 3, 0.8, -5.

Math
Po*e^(rt) = 2Po. Divide both sides by Po: e^rt = 2. rt = 0.08t. e^0.08t = 2. 0.08t*Log e = Log 2. 0.08t = Log2/Log e = 0.693 t = 8.7 yrs.

math
a. Tan 24 = h/500, h = ?. b. Tan 27 = (h+L)/500. L = Length of flag = ? h = Ht. of bldg. calculated in part a.

physics
See previous post: Mon, 2-8-16, 7:33 PM.

science
30kW = 30 kJ/s. Work = 30kJ/s * 15s = 450 kJ.

Calculus 2
Sketch the region in the first quadrant enclosed by y=7/x, y=2x, and y=x/2. Decide whether to integrate with respect to x or y. Then find the area of the region.

physics
a. Vr = -100i + 70km[330o] = -100i + 60.6-35i = 60.6 - 135i = 148km[65.8o] S. of E = 24.2o E. of S. = Resultant velocity of the goose. Do you mean 20o W. of S.? If so, Direction = 24.2 + 20 = 44.2o W. of S. b. d = V*t = 1000, t = 1000/V = 1000/148 = 6.76 h.

SIMPLE INTEREST
I = Po*r*t = 5000*0.04*2 = $400. (25/4)% = 6.25%. I = 5000*0.0625*2 = $625. Gain = (625-400)/2yrs. = $112.50 per year.

SIMPLE INTEREST
I = Po*r*t = 0.125Po. Po*0.1*t = 0.125Po. t = 1.25 yrs. = 15 Months.

SIMPLE INTEREST
I = Po*r*t = 1344-1200. Po = 1200, r = 0.06, t = ?.

SIMPLE INTEREST
I = Po*r*t = 1770. r = 0.08 t = (15/2)yrs. = 7.5 yrs. Po = ?.

SIMPLE INTEREST
There are errors in your problem; please make corrections.

science
Sketch: From a point, draw 2 arrows pointing upward and one arrow pointing downward.

science
Fr = 5.3 + 2.2 - 10.7 = -3.2 N. = 3.2 N. downward.

Engineering
Mass = 0.00072kg/cm^3 * 37854cm^3/gal * 5gal. = 136.3 kg.

physics
h = V*t + 0.5g*t^2 = 2 m. V*0.1 + 4.9*0.1^2 = 2. 0.1V = 2-0.049 = 1.95. V = 19.5 m/s at top of the window. V^2 = Vo^2 + 2g*h. V = 19.5 m/s, Vo = 0, g = 9.8 m/s^2, h = ?.

Finance
P = Po(1+r)^n. P = $16,860. r = 5.75%/100 = 0.0575 n = 1Comp./yr. * 6yrs. = 6 Compounding periods. Po = ?.

science
a. h = 0.5g*t^2. h = 20 m., g = 9.8 m/s^2. t = ?. b. d = 10m/s * t. t = Value calculated in part "a".

physics
a. V^2 = Vo^2 + 2g*h = 0. Vo^2 = -2g*h = -(-19.6)*0.18 = 3.53, Vo = 1.88 m/s. b. KE = 0.5M*Vo^2 = 0.5*0.54*10^-6*1.88^2 = 9.54*10^-7 Joules.

Physics
Xo = 2.9 m/s. Tan 43.6 = Y/Xo = Y/2.9. Y = 2.9*Tan 43.6 = 2.76 m/s. V^2 = Vo^2 + 2g*d = 2.76^2. 0 + 19.6d = 7.63, d = 0.389 m. h = 1.14 - 0.389 = 0.751 m. Above the floor.

physics
See previous post: Thu,2-4-16, 11:20 AM.

Physics
Oops! The name is Henry.

science
V^2 = Vo^2 + 2g*h. Vo = 0, g = 9.8 m/s^2, h = 80 m. V = ?.

Physics
Xo = 19.8 m/s. Yo = 16.4 m/s. a. Y = Yo + g*Tr = 0, Tr = -Yo/g = -16.4/-9.8 = 1.67 s. = Rise time. b. h = Yo*Tr + 0.5g*Tr^2. g = -9.8 m/s^2. c. T = Tr+Tf, Tf = Tr = 1.67 = Fall time. T = Tr+Tr = 1.67 + 1.67 = d. T = 2Tr. e. d = Xo*T.

physics
0.5g*t^2 = 25 m. 4.9*t^2 = 25, t^2 = 5.1, t = 2.26 s. Y = Yo + g*t = 0 + 9.8*2.26 = 22.1 m/s. = Ver. component of final velocity. V = 16 + 22.1i = 27.3m/s[54.1o].

physics help please
See previous post: Thu, 2-4-16, 10:47 PM.

physics
See previous post: Wed, 2-3-16, 11:49 AM.

Math
1. 12.5/10.5 = 1.190 = 119%. 119%-100% = 19% Increase. 2. 71.4/80.2 = 0.890 = 89.0% 89%-100% = -11% = 11% Decrease.

maths
X votes. x+300 Votes. Total = x + x+300 = 2x+300. x/(2x+300) = 0.4 x = 0.8x + 120 0.2x = 120. X = 600. Total = 2x+300 = 2*600 + 300 = 1500 votes.

physics
Energy = P*t = 6*0.5 * 5/60 = 0.25 Watt-hours.

Physics
L = V/F, F = V/L. The one with the shortest wavelength(2) has the highest freq. or pitch.

physics
C = pi*2r = 3.14 * 40 = 125.6 cm. A = 360o/125.6cm * 30cm = 86o.

Physics
Vo = 10.1m/s[62.4o]. Yo = 10.1*sin62.4 = 8.95 m/s. Y^2 = Yo^2 + 2g*h. Y = 0, g = -9.8 m/s^2, h = ?.

Math
d = r*t = 40 * 3 = 120 mi. d = 60 * T =120, T = 120/60 = 2 h.

Physics
Unless otherwise stated, all angles are measured CCW from +x-axis. a. F=267[23o] - 377=245.8+104.3i - 377 = -131.2 + 104.3i = 168N[38.5o]N. of W. b. F3 and F should be equal in magnitude and 180o out of phase: Therefore, F3 = 168N[38.5o]S. of E.

physic
Oops! Disregard last line of this post.

physic
Vo = 15m/s[35o]. Yo = 15*sin35 = 8.60 m/s. Y = Yo + g*Tr = 0, Tr = -Yo/g = -8.60/-9.8 = 0.88 s. = Rise time. h1 = Yo*Tr + 0.5g*Tr^2. h1 = 8.60*0.88 - 4.9*0.88^2 = 3.77 m. Above top of bldg. Tr+Tf = 2.7, Tf = 2.7-Tr = 2.7-0.88 = 1.82 s. = Fall time from max ht. to gnd. h2 = 0....

physic
Tr = Rise time, Tf = Fall time. a. Tr + Tf = 2 s, Tf = Tr, Tr+Tr = 2, 2Tr = 2, Tr = 1 s. V = Vo + g*Tr = 0, Vo = -g*Tr = 9.8*1 = 9.8 m/s. b. Yo = 9.8 m/s(Part a), Vo*sin40 = 9.8, Vo = 9.8/sin40 = 15.25 m/s.

physics
a. V = 205mi/h * 1600m/mi * 1h/3600s = 91.1 m/s. V = Vo + a*t. V = 91.1 m/s, Vo = 0, t = 2.70 s. a = ?. b. d = 0.5a*t^2. a = Value cal. in part "a", t = 2.70 s, d = ?.

physics
a. V^2 = Vo^2 + 2g*h V = 0, Vo = 19.0 m/s, g = -9.8 m/s^2, h = ? b. V = Vo + g*t. V = 0, Vo = 19.0 m/s,g = -9.8 m/s^2, t = ?.

science
100%-30% = 70% Below the surface. Db/Dw = 0.7, Db = 0.7Dw = 0.7*0.998 = 0.699 g/cm^3.

SCIENCE
Wo = F*d=M*g * d = 150*9.8 * 2.5 = 3675 J. = Work output or work done. Input = 3675/0.6, but it did not ask for the input.

science
M*V = 1.4, 0.7*V = 1.4, V = ?.

math
100%-8% = 92%. Cost = 0.92 * 968

Physics
See previous post: Tue, 1-26-16, 1:52 PM.

Math
See previous post.

Math
See previous post.

Math
-15x+3 >= -3(4x-7). -15x+3 >= -12x+21. -15x + 12x >= 21-3. -3x >= 18. X <= -6. When multiplying or dividing an inequality by a negative number, the inequality sign should be reversed.

science(physics)
a. Vo = 36000m/3600s. = 10 m/s. a = -(Vo^2)/2d = -(10^2)/80 = -1.25 m/s^2. b. F = M*a = 100 * (-1.25) = -125 N. The negative sign means the force opposes the motion.

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