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(a). Find the least squares approximation of e^x over the interval [0,1] by a polynomial of the form ao+a1x.
(b). Find the mean square error of the approximation.
The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side. Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.
What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
When using the substitution method, how can you tell if a system of linear equations has no solution?
The correlation between weekly sales and shelf space.
Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate
Prove the following vector calculus identity in R 3 , where f is a twice continuously dierentiable scalar eld and F is a twice continuously dierentiable vector fi eld
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
How many different 4-card hands are possible? How many different 4-card hands contain a number less than 7?
We will take steps to find the tangent line to the graph of f at the general point (x,f(x)), and use it to find a tangent line with a specific property.
Write the given number in standard notation and write the number in standard notation. 8 × 10 6
Find the test statistic
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
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