03/25/24

Find the arclength of the curve r(t) = <9sqrt(2t), e^(9t), e^(-9t)>, 0<_t<_1
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03/24/24

The graph of the second derivative of a function is shown below. State the x-coordinate(s) of the inflection points of f
The graph of the second derivative  of a function  is shown below. State the x-coordinate(s) of the inflection points of f. If more than one value, separate your answers using commas.GIVE ME THE... more
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03/24/24

A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle.
A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle.If the total perimeter of the window is 20 feet, what... more
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03/22/24

Linear Algebra ( Subspaces )
Let vector w = (1, 1, 2, -1).W = { u ∈ R^4 | u ⋅ w = 2 }, and V = { u - (1, 0, 1, 1) | for all u ∈ W }.(a) Is W a subspace? Explain your answer.(b) Show that V is a subspace and that T = {... more
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03/22/24

Find the solution for which y = 6 when x = 0.
Solve the differential equation using the technique of separation of variablesdy/dx = (x + 5x2)/y4Find the solution for which y = 6 when x = 0.y = ________
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03/22/24

Use separation of variables to find the solution to the differential equation
Use separation of variables to find the solution to the differential equation3(du/dt) = u2subject to the initial condition a(0) = 4.u(t) = _____
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03/21/24

A 22-ft flagpole casts a 62-ft shadow. Calculate the angle of elevation to the sun to the nearest degree.
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03/21/24

Find the equation of the axis of symmetry of the following parabola algebraically. y=x 2 −9
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03/20/24

Construct a polynomial function with the following properties: third degree, only real coefficients, -5 and 3+I are two of the zeros, y intercept is -50
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03/20/24

If cos(θ)= 3/5 and 270°<θ<360°, what is sin(θ)?
How to solve?
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03/19/24

A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight.
Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed... more
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03/19/24

Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west at 48 mi/h. At what rate is the distance between the cars increasing two hours later?
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03/19/24

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min.

At what rate is the base of the triangle changing when the altitude is 20 cm and the area is 180 cm^2?
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03/18/24

A thermometer is taken from a room where the temperature is 20°C to the outdoors, where the temperature is 6°C. After one minute the thermometer reads 13°C. (Round your answers to one decimal place.)
a) what will the reading the thermometer be after one minute? b) when will the thermometer read 7°C?
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03/18/24

Diff Equation: dP − kP dt = 0 Initial Condition P(0) = P0
Its on web assign, I need help
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03/17/24

Evaluate the Integral. Show All Steps
Evaluate the Integral. Show All Steps. If possible attach a video going through the problem
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03/15/24

A plane flying with a constant speed of 9 km/min passes over a ground radar station at an altitude of 13 km and climbs at an angle of 25 degrees.
At what rate is the distance from the plane to the radar station increasing 4 minutes later?Hint is to use the law of cosines for a triangle.
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03/14/24

Related Rates: Fill in the Blank
A circle is inside a square.The radius of the circle is decreasing at a rate of 5 meters per hour and the sides of the square are increasing at a rate of 5 meters per hour.When the radius is 2... more
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03/14/24

Related Rates: Inverted Pyramid filled with water at 55cc's/sec. Top is a square with sides 2cm long, and the height is 10cm. Find the rate of water level rise when the water level is 7 cm.
An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 2 cm, and the height is... more
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03/14/24

Related Rates: The altitude of a triangle is increasing while the area of the triangle is increasing. At what rate is the base of the triangle changing?
The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is increasing at a rate of 2 square centimeters/minute. At what rate is the base of the... more
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03/14/24

Write out the general form of the partial fraction decomposition of the function. Do not determine the numerical values of the constants.
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03/12/24

Urgent calculus help
I need help finding some contour lines for the following function:
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03/12/24

Differential Equations
Find the general solution to the differential equation dy/dx = yln(y).
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03/11/24

Given the equation of the curve 2x2 -3xy +y= 10, find dy/dx at the point (0, 10).
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03/08/24

f(t)=t^3-12t^2+36t
(e) Find the total distance traveled during the first 7 s.
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