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Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Thank you!
Find the unit vectors that are tangent and normal to the curve at the given point:
y = e^x , (ln2,2)
Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions.
Find the probability of observing
Use the disk method to calculate the volume of the solid shape than will come about as a result of rotating the area bounded by the graphs of y=x^3, y=1, and x=2 about the x-axis.
Determine the population proportion
Let h(sub n) denote the number of ways to perfectly cover a 1 by n board with monominoes and dominoes in such a way that no two dominoes are consecutive.
What is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn.
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,and 2 cans of mango juice. What is the probability of selecting a can of apple juice
Explain how you decide whether it is easier to solve a system by substitution or the elimination method. Response should be detailed and include an example
Two factors are extraneous if their effects on the response variable cannot be distinguished from one another.
The number of new contributors to a public radio station's annual fund drive over the last ten years is. Develop a trend equation for this information, and use it to predict next year's number of new contributors.
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
Write one or two paragraphs comparing and contrasting all methods of solving systems of linear equations with two variables. Explain which method you prefer and why.
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