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QUESTION 1: Find the derivative of sin2(x)
QUESTION 2: Determine the equation of the tangent to the curve f(x) = 4x3+ 2x2 + 7 at x = 1
QUESTION 3: Determine the absolute extrema for the following function on the given interval G(x) = 2x3 + 3x2 - 12x + 4 on [0, 2]
QUESTION 4: Water is poured into a canonical container at the rate of 10 cm3/sec. The cone points directly down, and it has a height of 30 cm and a base radius of 10 cm. How fast is the water level rising when the water is 4 cm deep? Refer the diagram given below.
QUESTION 5: Find expression for dy/dx, if y4 + x5 - 7x2 = 0.
A football player runs for 1058 yards in 2000 and for 980 yards in 2004. Find the average rate of change in his performance.
Matrix Computations and Programming in MATLAB In this laboratory session we will learn how to 1. Create and manipulate matrices and vectors.
1.a use the quadratic formula to determine to the nearest tenth the roots of the equation x2 6x - 2 0. see section 5.2
determining the height at which the light has to be fixed to get its use in maximum area using its perimeter
An employee receives a weekly salary of $310 and a 4% commision on all sales
Construct a niche overlap graph for six species of birds, where the hermit thrush competes with the robin and with the blue jay, the robin also competes with the mockingbird, the mockingbird also competes with the blue jay, and the nuthatch compet..
Examine Figure, which shows three trees. If possible, find a perfect matching in each tree; if not, explain why no perfect matching exists.
How do you find the minimum (i = 1) or maximum (i = n) in a set? What is the running time? How do you find the second smallest element?
the mean and the standard deviation of a random sample of n measurements are equal to 33.4 and 3.7 respectively.a. find
an input-output matrix for a three-sector economy a simple economy consists of three sectors agriculture a
If 31 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the sides of the screen.
Find the value of the pronominal.
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