If 16x^2 - 24x + k = 0 has two roots (a double root) equal to 3/4, 4 = ?

If 16x^2 - 24x + k = 0 has two roots (a double root) equal to 3/4, 4 = ?

2. (6 pts) Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined: h(t) = 5.105 ln(t) + 6.099, where...

A company produces mattresses and wishes to maximize its profit. The cost, in dollars, for x mattresses can be modeled by the function C(x) = 18000 + 400x – 3.5x2 + 0.002083x3. The demand...

) Let f(x) = e x – 2 + 5. Answers...

A water tank in the shape of a hemispherical bowl of radius 4 m is filled with water to a depth of 2 m. How much work is required to pump all the water over the top of the tank? (The density of the...

) Let f(x) = e x – 2 + 5. Answers...

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. y = 2(3 − x) y = 0 x = 0

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = −1

I don't understand how to find an acute angle between 3y= x - 7 and 2y= 3 - 4x. Could you help me?

Find u′(1)

A stone is thrown into a lake and a circular ripple moves out atba constant speed of1m/s. Find the rate of change of surface area at the instant when its radius is 2m.

Let g(x,y)=(xy)^(1/3). a. Is g continuous at (0,0)? I put down yes since it's not undefined there. b.Calculate ∂g/∂x and ∂g/∂y when xy≠0. This wasn't too bad and...

Here's the question: Find the most general function f:R^2 --> R such that ∇f(p)=p for each p∈R^2. So, I'm guessing this means that I just need to find a function of x and y...

Is f(x,y)=sqrt(x^2+y^2) differentiable at (0,0)? Justify. I don't think the partial derivatives exist due to the limit definition, so can I say that the function isn't differentiable...

I'm having a lot of trouble with the set up and integration. Please help me with this problem, thank you. I know you are supposed to use the formula integral(2pi * y * sqrt(1+(y')^2)).

Let P(x)=-x^(3)+4.5x^(2)-0.5x-6, when factored, P(x)= -(x+1)(x-3/2)(x-4) State the domain.

Let g(x,y)=(xy)^(1/3). e.Does the graph of g have a tangent plane at (0,0)? Explain briefly. f.Is g differentiable at (0,0)? Explain briefly. I asked this question yesterday...

Find or evaluate the integral by completing the square. (Round your answer to three decimal places.) Boundary is from 2 to 3. ∫ (2x-3)/ (√(4x-x2) dx

In 1626, Peter Minuit traded trinkets worth $24 for land on Manhattan Island. Assume that in 2014 the same land was worth $4 trillion. Find the annual rate of interest compounded continuously at which...

Rod with length L has net charge -Q distributed along its length. The rod is placed with one end at the origin and the other at point (0,L) on the y-axis. Find the components of the electric field...

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