04/19/22

card probability?

A new card game consists of 8 red cards, 7 yellow cards, 6 green cards and 5 blue cards. If you have to draw 8 cards, what is the probability that you would:a) draw 2 of each color?b) draw 3 red... more
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04/18/22

Please help me solve this problem!
Point A is 200 meters directly east of point B. The bearing from point A to point C is 𝑆 60° 𝑊 and the bearing from B to C is 𝑆 50° 𝐸. Find the distance from A to C to the nearest meter
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04/12/22

Compound Probability
A bag contains 7 red marbles, 6 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn... more
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04/12/22

let f(x)=x^(16/3) 019x^(33/7). Determine the largest n for which f is a member of the set C^n (n-times continuously differentiable)
This is a problem from calculus 1 and I'm not sure what the process is here? Are we to attempt to take a derivative, use Rolle's Theorem or something else? I'm looking for a procedure more than an... more
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04/11/22

Cartesian Equation and Parametric
We were given this and the cartesian equation of ( (x^2/ a^2) + (y^2/b^2)) = 1. How would I solve for a, b, the initial point, and the terminal point?
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04/10/22

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Enter your answers as a comma-separated list.)
f(x) = x2, [0, 2]C=?
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03/30/22

Verify that the Mean Value Theorem can be applied to the function f(x)=x^3/4 on the interval [0,16]. Then find the value of c in the interval that satisfies the conclusion of the Mean Value Theorem.
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03/23/22

Calculus Related Rates Question
Water is leaking out of an inverted conical tank at a rate of 8500 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height of 12 ... more
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03/19/22

What is his angular​ speed, in revolutions per​ hour?
A rider in a road bike race had an average linear speed of ​39.975 km/hr. The wheel of his bicycle had a diameter of 66cm. What is his angular​ speed, in revolutions per​ hour?
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03/17/22

Suppose you know the temperature varies between 43 and 77 degrees during the day and the average daily temperature first occurs at 8 AM
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 43 and 77 degrees during the day and the average daily temperature first... more
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03/16/22

related rates (one forumla)
The radius of a sphere is decreasing at a constant rate of 6 centimeters per minute. At the instant when the radius of the sphere is 66 centimeters, what is the rate of change of the volume? The... more
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03/15/22

I NEED HELP UNDERSTANDING THIS PLEASE
Throughout the day the depth of water at the end of a pier varies with the tides. High tide occurs at 4:00 a.m. with a depth of 6 meters. Low tide occurs at 10:00 a.m. with a depth of 2... more
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03/13/22

The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 60 mm? (Round your answer to two decimal places.)
The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 60 mm? (Round your answer to two decimal places.)
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03/08/22

Does the data represent a direct variation or an inverse variation? Write the equation for this data.

(−2, 0.16), (−10, 0.8), (50, −4)
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03/03/22

Please help me on this question

Examine the following graph of the quadratic function f(x)=−1/8(x+1)^2+8 and the linear function, g(x)=−6/7x−6.For which of the following intervals is the average rate of change of f(x) faster than... more
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03/03/22

Calculus EXERCISES 4.4 The Mean Value Theorem
The Intermediate Value Theorem can be used to approximate a root. The following is an example of binary search in computer science. Suppose you want to approximate √6. You know that it is between 2... more
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03/03/22

how fast in ft/sec is the boat approaching the dock when it is 34 ft from the dock?

A boat is pulled toward a dock by means of a rope wound on a drum that is located 2 ft above the bow of the boat. If the rope is being pulled in at the rate of 3 ft/sec, how fast is the boat... more
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02/27/22

Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.)
y = 7t − 2 x=t^1/2
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02/26/22

need help, quickly!!!!
In triangle ABC, what is the measure of C if a = 20, b = 15, and c = 19?A.26.1°B.42.33°C.58.87°D.63.9°E.116.1°
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02/24/22

A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s. What is the rate of change of the angle at the ground when the ladder is 6 m from the wall?

a2 + b2 = c22aa + 2bb = 2cca = cc - bb/a = -bb/a= - (1.5)(6) / 12√1.5= - 9 / 12√1.5= -0.612 ft/minthis is what i got, am i correct?
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02/24/22

help hard calculus question
a. graph the function f(x) = { x^3+x^2-12x/x-3, if x does not equal 3{ 15, if x=3b. determine f(3)c. determine lim x-> 3^- f(x), lim x-> 3^+ f(x) , and lim x-> 3 f(x)d. is f(x) continuous?... more
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02/23/22

Calculus II, finding the area between two lines
There is a line through the origin that divides the region bounded by the parabola y=4x-7x2 and the x-axis into two regions with equal area. What is the slope of that line?
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02/12/22

If sin(𝜃)<0, find the value of cos(𝜃) when cot(𝜃)=3/7. (Give an exact answer. Use symbolic notation and fractions where needed.) cos(𝜃) =
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02/11/22

Use integration by parts to solve. Simplify final answer and write in factored form. integral cos(x) log(sin(x)) dx

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02/09/22

Answer the following question.
A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position, as shown in the figure. The winch pulls in rope at a rate of −0.4 meter per second (ds/dt = -0.4... more
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