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Question: Sketch the graph of each parabola by using the vertex, the y-intercept, and two other points, not including the x-intercepts. Check the graph using a calculator.
y = -3x2 - x
Set up and evaluate three definite integrals to determine which of these three options will result in the lowest average temperature for your run.
Estimate the population of the country in 2016. After how many years will the population of the country be 3 million, according to this model?
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/ss. There is 950m between them
a rectangle is 3 times aas long as it is wide. if the lenght is increased by 6 and the width by 8 the area is increased by 109 find the original dimensions.
Research shows that newly employed American workers are unlikely to immediately begin saving money for retirement. A factor discussed in class that might drive this behavior is:
Find the equation of the tangent line at (√π /12, π /12). Use your explicit equation for y in terms of x to estimate point on the graph and find the value of dy/dx evaluated at this point.
Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps.
Find the derivative of the function f by using the rules of differentiation.
Find the 99% confidence interval
We have defined space X to be contractible in two ways: Show that these two definitions are equivalent.
Determine whether or not the given mapping T is a linear transformation. T: R2 → R2 defined by T(x, y) = (xy, y)
question 1. evaluate the following recurrence relations but do not solve. make sure to state for which values of n your
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