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A spherical weather balloon is being inflated. Beginning at 14 cm, the radius of the balloon is increasing at the rate of 3 cm per second. Express the surface area of the balloon as a function of time (in seconds). If needed you can enter as pi. (Hint: The surface area of a sphere is )
Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
Solve the following equation
Answer the following: Assume you have a choice between two annuity contracts. Contract A pays $5,000 per year for 5 years starting one year from today. Contract B pays $5,000 per year for 5 years starting today. The discount rate for each is 6%. W..
The length of a rectangle is 5m more than twice its width, and the area of the rectangle is 42m^2 . Find the dimensions of the rectangle.
The linear equation x=-1 graphs as a horizontal/vertical/diagonal line(choose the correct label). Describe how you determined your answer.
Find the average weekly breakdown cost.
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
Solving the word problem using the properties of similar triangles
Probability of having breast cancer. p(BC). Probability of having BC given the mammogram is positive. p(BC/positive mammo), Probability of having a positive mammogram given a person has BC. P(pos mammo/BC)
The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed. b. find the probability that A occurs but B doesn not.
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