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assume you have collected data pairs (x,y) on a certain variety of tree, x si the number of weeks since the tree was planted and y is the height of the tree in inches. a plot the data points with the best-fit line is given below. what is the numerical value of the height as perdicted by the best-fit line of an age of 20 weeks.
For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither.
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
Assume that the field is algebraically closed and has zero characteristic, G is finite and representations are finite-dimensional.
Determine the slope of the tangent to each of the following curves:
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Please provide your own real-world example from your work or life using the slope and y-intercept. What are the slope and y-intercept in your example?
What is/are the equation/s required to calculate dimensions and construction of a frustum shaped plate in its flat form before rolling into cone shape?
State Euler's Circuit Theorem. Explain why this theorem should be true and explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for.
Apply Chi Square test of independence to test whether there exists any association between two variables.
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
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