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Question 1. Consider the two vectors: x→, y→ ∈R3 originating from the point p1→ as shown below.
(a) Find the area of the parallelogram with sides x→ and y→ as shown.
(b) If P1= (-1, 2, 2), find the equation of the lines containing P1 (i) in the direction of x→, (ii) in the direction of 9, (iii) and containing P2 (point marked by p2→).
(c) Find the equation for the plane containing the parallelogram shown.
Explain the difference between a local and an absolute maximum. Are extrema x values or y values and example of a polynomial function that has only imaginary zeros and a polynomial function that has only real zeros. Explain how to determine graphic..
An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment - Find all the real zeroes of the polynomial function.
The instructions are as follows: write each equation in slope-intercept form and then find the slope and y-intercept.
In a simple linear regression analysis, the following sum of squares are produced: = 400 = 80 = 320
consider the curve x^2+sin(xy)+3y^2=c, where c is constant. the point (1,1) lies on the curve. use tangent line approximation to approximate the y coordinate when x=1.01
Suppose you have to fight a zombie. If you swing your weapon with enough velocity you win the fight - what postion is the weapon most dangerous
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
Estimate the regression equation. Interpret the equation. Do more bidders tend to increase or decrease the amount of the winning bid?
Prove that the regression line passes through the centroid
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assume that you have a credit card from the hypothetical big bank. pick an imaginary outstanding balance. then answer
Descriptive statistics
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