Consider the equation (4x2 + 1)2 + 4(4x2 + 1) + 4 = 0. If the substitution u = is made, then the equation becomes u2 + 4u + 4 = 0.

Q: A train is initially traveling at a rate of 5 miles per hour. The acceleration of the train is 5 mil...

A: Given: The acceleration of the train is 5 miles per hour squared. That is, a(t) = 5.The initial velo...

Q: Find the relative maxima, relative minima, and points of inflection and sketch the graph for the fun...

A: We have to find the relative maxima, relative minima, and points of inflection and sketch the graph ...

Q: using the formula attached to this question find the GINI Index if the Lorenz Function is Y= 0.92x1....

A: The given Lorenz function is,

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent  to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: Find the average value of the function over the region R.  Please refer to picture.

A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]

Q: Evaluate the following integral as written. Please refer to attached image.

A: It's  aquestion of double integral. We will first evalaute the integral with respect to x, put the l...

Q: y = t(lnt)2 Find the derivative

A: According to the chain rule of derivative,Using the above rule, where u = t and v = ln t

Q: How can I get the result? Which is the result?

A: The function is given by,

Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles ...

A: According to the question, x is the distance between the nearest point on a shoreline and the point ...