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Question 1) Find the y' for the following equations-
(a) y = (12x2 - 1)2e2x
(b) y = (ln(x3 + 4x))1/3
(c) y = (2x3+1)/(ex2)
(d) y = x2e2x + (ln(x2+3x-3))/(3x)
Question 2) Find the y' For x2y + 4(2 - y2)2.5 = 5y2 - 5.
Question 3) If y = 4t2 - 2t; t = ln x. Find dy/dx at x = 2.
Question 4) Determine the equation of the tangent line to f(x) = x2(2x+1)2 at x =1.
two cars start moving from the same point. one travels north at 30mi/h and the other travels east at 40mi/h. At what rate is the distance between the cars increasing 30 minutes later?
a small winery manufactures 2 types of wine burbos better x and burbos best y.nbsp burbos better results in profit of 4
Two fire towers are 30km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and b are E 14 N and W 34 N, respectively. Find the distance d of the fire from the line segment AB.
Redo the analyses after deleting the D.C. observation on the predictecd effect of poverty rate. What does this tell you about how influential outliers can be?
Prove that the set of natural numbers will be a ring by using ring definition - set of natural numbers
1. Use transformations to graph this function. Determine domain, range, vertical asymptote, and y-intercept of the function. g(x)= 2-log(x+1).
What is the principle of powers? Describe in your own words. When solving a radical equation, how do we use the principle of powers to eliminate radicals? Demonstrate with an example.
Where is the bounding box for this circle? (x =?, y =?, width =?) What color is to be used? (What is the predened Java color name?) Should the circle be lled?
Advantages and disadvantages of laspeyres and paasche
the manager of human resources in a company has information about the accidents at work during one month. he created
Solving differential equations with initial conditions - Sketch a graph of the rate of change and solution and Describe your results in words.
Presume in community 1, 52% of individuals who will vote in election favor candidate A while while 48% favor candidate B. In community 2, 46% favor candidate A and 54% favor B.
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