# Posts by Z32

Total # Posts: 149

Physics/Engineering
1. The problem statement, all variables and given/known data I am using a Vishay strain indicator with it hooked up to a strain gage hooked up 1" away from the wall on the solid beam. The beam is .5" by .5", and it is solid. The beam is 16" long and I am ...

Calculus
yeah I forgot to type in the theta

Calculus
Express the region inside the leaf of the rose r=2sin2? in the first quadrant as an iterated integral over R?

Calculus 3
Compute the average value of following fuction over the region R? f(x,y)= sinxsiny R= { (x,y): 0 ≤ x ≤pi, 0 ≤ y ≤pi}

Calculus
A projectile is launched at an angle of 60 degrees to the horizontal from 6.5 ft above the ground at an initial speed of 150ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts ...

Calculus
Find the domain of the following function h(x,y) = sqrt(x-9y+5)?

Calculus
Can two level curves of a function intersect; explain?

Physics
An electric power plant that would make use of the temperature gradient in the ocean has been proposed. The system is to operate between 20.0°C (surface water temperature) and 5.00°C (water temperature at a depth of about 1 km). The first question asks What is the ...

Calculus
Consider the parabola r(t)=<t-t^2>, does the principal unit normal vector point in the + or - y-direction along the curve?

Calculus
What does the arc length formula give for the length of the line r(t)=<t,t,t> for 0 ≤ t ≤ 1?

Calculus 3
Determine whether the lines intersect(have a common point) and if so, find the coordinates of that point? r(t) = < 4t+3, 4t + 2, 6t + 6>, for -infinity < t < infinity R(s) = < s + 2, 3s - 1, -4s + 10>, for -infinity < t < infinity And if r and R ...

Physics
I got lost when you got to: = Qout - Qout/3.85 = 0.7403 Qout What did you exactly do? I'm not seeing where those two Qout's came from and how you got the .7403.

Physics
How much energy does it extract from the outside air with coefficient of performance 3.85? A heat pump has a coefficient of performance of 3.85 and operates with a power consumption of 6.91 x 10^3 W. The first part of the question asked How much energy does it deliver into a ...

Physics
Thank you!

Physics
A freezer has a coefficient of performance of 6.30. It is advertised as using 486 kWh/yr. Note: One kilowatt-hour (kWh) is an amount of energy equal to running a 1-kW appliance for one hour. a) On average, how much energy does it use in a single day? I got 4.79 x 10^6 J (b) On...

Physics
If the stone strikes the ground 65 m away, find the time of flight and initial speed? Vxi = 17.7 m/s Vyi = 8.636 m/s xi = yi = 0, yf = -65.0 m, ay = -g, and vi = 19.7 m/s This is my work so far: trying to find t: 4.9t^2 - 8.636 -65=0 Then I used the quadratic formula and got t...

Math
Nevermind. You gotta use the quadratic formula.

Math
Solve for t. -45.0 m = (8.636 m/s)t + ½(-9.80 m/s^2)t^2 ?

Physics
(Vectors) If |A x B| = 6.45AB, what is the angle between A and B?

Calculus
Evaluate the integral from 2/sqrt2 to 4; 1/(t^3 sqrt(t^2-4))?

Physics
Would it be sqrt( (51.2)^2 + (18.7)^2 )?

Physics
A crow flies in two successive displacements to a point that is 80 m to the west. Its first displacement is 80 m in a direction θ = 50° west of north. What is the magnitude of its second displacement? What is its direction as measured by the angle θ measured west...

Physics
Junes Verne in 1865 suggested sending people to the Moon by firing a space capsule from a 195 m long cannon with a launch speed of 12.78 km/s. What would have been the unrealistically large acceleration experienced by the space travelers during launch? ____ m/s^2

Physics
One cubic meter (1.00 m^3) of aluminum has a mass of 2.70 multiplied by 10^3 kg, and the same volume of iron has a mass of 7.86 multiplied by 10^3 kg. Find the radius of a solid aluminum sphere that will balance a solid iron sphere of radius 1.40 cm on an equal-arm balance.

Philosophy
Does Bonnie Steinbock think committing adultery is okay or not okay?

Calculus
Estimate the area under the graph f(x)=3x^3 + 5 from x=-1 to x=5 using 12 mid points? I got the right answer for using 6 mid points but what mid points would I use for 12?

Calculus
Determine the y-coordinate of the critical point for the function where 0<x<5? I got the derivative which is -1/x^2 + 1/(5-x)^2 but I don't know how to get the answer. The answer is y=4/5 but I was wondering how do you get that?

Calculus
Suppose that f(x) = (5x + -2)^(1/2) Find an equation for the tangent line to the graph of f(x) at x=1. Tangent line: y=?

Calculus
What's the derivative of x^2(1- x/6)?

Calculus
Reflecting the graph calculus problem f(x) = 5^x? reflecting the graph about the x-axis and the y-axis: y=___________ reflecting the graph about the line y = 3. y=__________

Calculus
The velocity v(t)= -t^2 + 6t - 8, find the displacement and distance traveled during the time interval [-1,5]?

Calculus
Oh, okay. I got it.

Calculus
The parenthesis are in the wrong spot? I still can't figure it out.

Calculus
Evaluate the indefinite integral: x^2 / (3-4x^3)^6 I got -1/(60(4x^3-3))^5 but it's not right.

Calculus
Find the concavity and min and max for f(x) = x*sqrt(x^2+36) defined on the interval [-4, 7]?

Calculus
f(x) = 6e^(-5x) ln(x), find f'(3)?

Calculus
Nope.

Calculus
Derivative.

Calculus
[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?

Calculus
That's supposed to be an integral sign.

Calculus
3 ⌠ 2⌡ (2x^2+5) / x^2 dx =? I got 1.66 but it was wrong.

Calculus
One quick question, for the "area=1/2 b H= 1/2 (12-3.5)(24-7)", how did you get the 24?

Calculus
I added the two areas up and got 84.5 which is the correct. Thanks!

Calculus
Evaluate the integral by interpreting it in terms of areas as 0 goes to 12 |2x - 7|dx? This is my work so far: 2x-7=0 x=7/2 slope = 2; y-int = (0, -7) Area of a triangle is 1/2BH.

Calculus
Find an overestimate and underestimate that the bug crawls during an hour v= 1 / [2+t]? For time, t, in hours, 0 <= t <= 1, a bug is crawling at a velocity, v, in meters/hours given by v = 1 / [2+t]. Use delta t = 0.2 to estimate the distance that the bug crawls during ...

Calculus
Estimate the area under the graph of f(x) = 2x^3 + 3 from x= -1 to x=5, first using 6 approximating rectangle and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints. When using the left and right endpoints, is there a ...

Calculus
f(x) = [3/x^2] - [5/x^7], F(x) is the antiderivative of f(x) with F(1)=0. F(x) = ? I have no idea how to approach this problem. The fractions are scaring me.

Calculus
Oh dang. That's what I forgot. The x's. I put in the x's and the answer was correct. Thanks!

Calculus
What is the antiderivative of f(x)= 2x^8 + 10x^5 - 8x^4 - 4? I got (2/9)^9 + (10/6)^6 - (8/5)^5 - 4x but it's not right.

Calculus
A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the length L and width W (with W<= L) of the ...

Calculus
F(x) = x^3 / (x-16) is concave up and down on what intervals? I got the derivative to be f' = (x^4 - 48) / (x^2-16)^2 and I found the local min and max but now I need to find where it concaves up and down.

Calculus
What are the critical points of f(x)= e^x / 3+e^x?

Calculus
Oh, okay. I found out I had to use the quadratic formula. Thanks for the help!

Calculus
I got 0 for one of my inflections since a 0 in the place of the "x"(4x^2 + 9x - 36) would make it zero. But I'm not sure what would need to go into the other x's to make it 0. I tried 4/9 9/36 and 36/9 but I couldn't get it.

Calculus
Find the inflection points for f(x) = 12x^5 + 45x^4 - 360x^3 + 7

Calculus
Thanks.

Calculus
Help me simplify this down some more so I can set it to zero and find my critical points. f(x) = x^3 (x+2)^6 f'(x) = x^3 * 6(x+2)^5 + 3x^2 * (x+2)^6

Caluclus
Nevermind, I had an error in my calculations. It was sqrt(8128). I got the answer.

Caluclus
I redid my math and I think I did my calculations wrong. I got 8 +- sqrt(8000)/ -18 but it's still wrong.

Caluclus
[Mean Value Theorem] f(x)=-3x^3 - 4x^2 - 2x -3 on the closed interval [0,8]. Find the smallest value of c that satisfies the conclusion of the Mean Value Theorem for this function defined on the given interval. I got 8 - sqrt(5696) / -18 = 3.748436059 but it's not right.

Calculus
I tried that answer but it wasn't right. I tried sqrt 2 and it was right.

Calculus
What is the x coordinate of the absolute minimum of 6x + [12/x] when x > 0?

Calculus
What's the derivative of (x-1)(x-7)^3+10?

Calculus
What is the absolute max and absolute min of 3+13 |t-8| for -1 <= t <= 11? The absolute max of this function is ______ and occurs at ? The absolute min of this function is______ and occurs at?

Calculus
Can someone break this down for me step by step? I'm reviewing for a midterm and got stuck on this problem. 5xy - 3x - 4 = 0 y' at (2,1) I'm not sure where the 5 goes when you apply the product rule to the xy.

Calculus
What is the derivative of f(x)=5^x log6(x)?

Calculus
Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?

Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with a diameter of 45.000 meters.

Calculus
Not correct.

Calculus
A 25 foot ladder is leaning on a 9 foot fence. The base of the ladder is being pulled away from the fence at the rate of 10 feet/minute. How fast is the top of the ladder approaching the ground when the base is 9 from the fence? [Note: The ladder is protruding over the top of ...

Calculus
Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 303 F and left to cool in a room at 74 F, it's temperature ...

Calculus
Find the derivative of f(x)=x^2sinh^(-1)(3x)?

Calculus
Find the derivative of tanh(e^t)

Engineering Materials
Using mechanics of materials principles (ie. equations of mechanical equilibrium applied to a free-body diagram), derive the following equations. sigma' = sigma cos^2 θ = sigma(1+cos 2θ / 2) and tau = sigma sin θ cos θ = sigma( sin2θ / 2)

Calculus
[Inverse Functions] f(x)= 5cos(x)sin^(-1)(x) f'(x)=?

Calculus
The population of a region is growing exponentially. There were 40 million people in 1980 (when t=0) and 50 million people in 1990. Find an exponential model for the population (in millions of people) at any time t, in years after 1980. P(t)= Predicted population in the year ...

Calculus
[Exponential growth & decay] The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until ...

Calculus
The limit below represents the derivative of some function f at some number a. State such an f and a. lim x-->2 2^x-4/x-2 f(x)=_______ a=_______

Calculus
F(x)=5e^x - 10 / 24e^x + 12 f^(-1)(x)=? a=? b=?

Calculus
The expression e^x / e^(4+x) can be written as e^f(x), where f(x) is a function of x, find f(x)?

Calculus
Evaluate the following limits. lim as x approaches infinity 6/e^x + 7=____? lim as x approaches negative infinity 6/e^x+7=____?

Calculus
Nevermind, got it.

Calculus
So, m and b are?

Calculus
Use linear approximation, i.e. the tangent line, to approximate (the 3 is inside the v part if you know what I mean, it's not 3 times sqrt) 3√125.2 as follows: Let f(x) = 3√x. The equation of the tangent line to f(x) at x=125 can be written in the form y=mx+b ...

Calculus
I typed in 5.01999999999 and it took it. Weird.

Calculus
Find the linearization of f(x)= sqrtx at x=25 and use the linearization to approximate sqrt25.2 This is my math: 5+ 1/10 * (25.2-25) but it's wrong.

Calculus
Oh I'm missing the last ^2 at the end. Thanks!

Calculus
[Linear Approximations and Differentials] I tripled checked my work but I'm still not getting the correct answer. y=3x^2 x=3 & delta x =0.2 I get 3(3.2)^2 - 3(3) = 21.72

Calculus
What the heck? haha. I was going crazy could I could've swore I did my calculations right. Oh well, thanks for the help man. I appreciate it.

Calculus
Water is being pumped into an inverted conical tank at a constant rate. The tank has height 9 meters and the diameter at the top is 4 meters. If the water level is rising at a rate of 28 centimeters per minute when the height of the water is 3.5 meters, find the rate at which ...

Calculus
Hmm. Stupid online hw wants it perfectly I guess. Thanks though.

Calculus
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 24 knots. How fast (in knots) is the distance between the ships changing at 3 PM? This is what I got but it's not right 28.727

Calculus
Ahh, there we go. Can't believe such a little number could cause it to be wrong. Thanks.

Calculus
Not right for some reason.

Calculus
A plane flying with a constant speed of 5 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 35 degrees. At what rate, in km/min is the distance from the plane to the radar station increasing 10 minutes later? I got it down to [250-20cos...

Calculus
Got it down to 3.157 which is correct. Thanks!

Calculus
Air is being pumped into a spherical balloon so that its volume increases at a rate of 30 cubic centimeters per second. How fast is the surface area of the balloon increasing when its radius is 19 cm? V= 4/3*pi*r^3 S= 4 pi r^2

Calculus
Hmm. I tried that and it wasn't correct.

Calculus
A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm.

Calculus
Oh my bad. I meant dy/dt. I understand now. Thanks!

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