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Suppose that L is the tangent line at x = x0 to the graph of the cubic equation
y = ax3 + bx.
Find the x-coordinate of the point where L intersects the graph a second time.
Indicate, by checking the appropriate box, whether the given points below are on line 1 , on line 2 , on both line 1 and line 2 , or on neither one of the two lines:
what is the velocity of the baseball when it hits the top of the head of the lawyer? Assume the upward direction is positive and g= 9.8m/s2
The x- and y-coordinates of a moving particle are given by two parametric equations.. X= 2t^2+t Y= 2-5t
Determine whether the statements are true or false. Prove the statements which are true; note that Venn Diagrams are not proofs - Determine whether R is reflexive, symmetric, antisymmetric, or transitive.
Jim Smith believes in 30 years he will need $80,000 to buy a retirement cottage. Assuming he gets an interest rate of 9% compounded annually, how much will he have to invest today to reach his retirement goal?
the state income tax on your business is 820 plus 0.08 times your profit. you made a profit of 64860 last year. find
A woman 1.6 m tall stands 2.2 m in front of a plane mirror. What would be the required minimum height of the mirror if she were to stand 4.6 m away?
A windshield wiper is 18 inches long and has a blade 12 inches long. If the wiper sweeps through an angle of 130 degree, how large an area does the wiper blade clean? Round your answer to the nearest square inch.
What was the death rate per capita for heart disease in the US for 2010 and multiple the rate from A by 100,000 and explain the meaning of this new number by using it in a sentence.
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
Each letter stands for a different digit, 0 to 9. No two letters stand for the same digit. TOM + NAG = GOAT. Determine which digit each letter represents.
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
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