03/28/22

What is the equation of the normal line to the curve, cot(x+y) -sin(x-y) =1 at 0,Π/2?
What is the equation of the normal line to the curve, cot(x+y) -sin(x-y) =1 at 0,Π/2?
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03/27/22

Evaluate the limit
Can i get help Thanks.I’m stuck on thislimitx approaches negative infinity (1.01^x+x^1000)/(e^x+x^3)
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03/21/22

The length of string is 54 cm
A piece of string whose length is given below is cut into two pieces. One piece is used to form an equilateral triangle and the other to form a circle. What should be the perimeter of... more
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03/19/22

A tank contains 80 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 L/min.

Find the amount of salt in the tank after 1 hours.
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03/19/22

Solve the differential equation dx/dt = 6xlnx/t, Assume x,t>0, and use the initial condition x(1)=4.
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03/18/22

Need some help on this calculus 3 question.
Let f (x, y) = √xy + xy. Let S be the surface z = f (x, y) Let P be the point on S (1, 1, f (1, 1)) and let Q be the point on S (16, 4, f (16, 4)). Find parametric equations for the line of... more
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03/15/22

The plates of a parallel-plate capacitor are 2.50mm apart, and each carries a charge of magnitude 80.0nC.
The plates of a parallel-plate capacitor are 2.50mm apart, and each carries a charge of magnitude 80.0nC. The plates are in vacuum. The electric field between the plates has a magnitude of... more
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03/15/22

The capacitors have values C1 = 2.5 µF and C2 = 4.0 µF, C3 = 6.0 µF C4 = 8.0 µF and the potential difference across the battery is 12.0 V.
The capacitors have values C1 = 2.5 µF and C2 = 4.0 µF, C3 = 6.0 µF C4 = 8.0 µF and the potential difference across the battery is 12.0 V. Assume that the capacitors are connected in series. Find... more
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03/15/22

Problem solving
What is the capacitance of a parallel plate capacitor with metal plates, each of area 1.50 m2, separated by 2.01 mm? What charge is stored in this capacitor if a voltage of 2.50 × 103 V is applied... more
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03/10/22

Derivation of expressions
Derive an expression for the instantaneous current, instantaneous power and average power drawn by a pure inductive circuit on application of a sinusoidal voltage and show that the current lags... more
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03/10/22

Physics Problem
A circular swimming pool has a diameter of 10 m. The circular side of the pool is 4 m high, and the depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 m/s^2 and the density of... more
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03/10/22

use laplace transform method to solve initial value problems
y'' - 3y' - 4y =3 sin t , y(0) =y'(0) = 0
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03/10/22

2d momentum/elastic collision

A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8 m/s at a -47.0° angle. Whatis the x-component and y-component of the ball'sfinal velocity?Please... more
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03/04/22

Find the volume charge density of a non-conducting sphere of radius 10 cm and the electric field at 20 cm from the center.
A non-conducting sphere of radius 10 cm carries a charge of uniformly distributed throughout its volume. At 5 cm from the centre of the sphere, the electric field is 2000 N/C and its orientation... more
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03/03/22

AP Physics C E and M
A capacitor has been charged by connecting it to a 12 V battery. How much work was done in charging this capacitor, if at the end of charging, its charge is 2 μC?Group of answer... more
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02/25/22

physics question !!!
a convex lens has a focal length of 10 cm. an object 2 cm tall is placed in front of the lens.(a) at what distance will the image appear inverted and 2 cm tall?(b) at what object distance will the... more
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02/25/22

I am getting something mixed up
A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. (a) If water is being pumped into the trough at 2 cubic feet per minute,... more
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02/23/22

How do i solve this
A 500-gallon backyard swimming pool that contains 300 gallons of water is being drained through a hose. During the first 3 hours, the pool drains at a rate of 40 gallons per hour. During the next 9... more
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02/15/22

What is the magnitude and direction of electric field at a point midway between two equal and opposite charges of 3.5x10-8C which are 5m apart?
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02/15/22

A.) Show that z=3x+1200/x. B.) Find the stationary value of z and determine if it's a maximum or minimum.
The variable x,y, and z can take the only positive values and are such that z=3x+2y, and xy=600
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02/14/22

calc - chain rule
The table below gives the height of a rocket as a function time,h(t).Units are in the table. h (m) 0 66 164 295 457 651 878 1138 1429 1753 2108 t (s) 0 1 2 3 4 5 6 7 8 9 10 Air temperature... more
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01/28/22

the demand function for a pair of sneakers is p=8-(4)sqrt(x) and the cost to produce it is given by the function c(x)=500+15x. What should the price be set to in order to maximize profit
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01/27/22

Find the exact value of sin (2𝜃) given sec 𝜃 = 11/3 and 0 < 𝜃 < 𝜋/2.
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01/27/22

Linear inequality word problems
A car traveling 60 miles per hour approaches an area with a 50 mph speed limit. In order to reduce the speed to 50 mph or less, the driver slows down the car at a constant rate of 15 feet per... more
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01/27/22

Explain why any solution y=y(x) to the differential equation must have -2<y(x)<1 for all x?
If the initial value problem is y' = y^2+y-2, and y(xo) = yo, what is this question asking?? I understand the equilibrium solutions are -2 and 1, that I have already solved, but I don't know why... more
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