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1a.Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
x = t cos t, y = t sin t; t = π
b.Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter.
x = 2 + ln t, y = t2 + 1, (2, 2)
Hypothesis testing for single mean.
Find the slope and the equation of the horizontal line that passes through (-325, 185) Find the slope and the equation of the vertical line that passes through (-325, 185) Find the difference quotient of f(x) = 1/x^2
If 25% of the blades in the manufacturing are new, 60% are of average sharpness, and 15% are worn, what is the proportion of products that exhibit edge roughness? Round your answer to four decimal places (e.g. 98.7654).
A rectangular storage container with an open top is to have a volume of 10m3. The length of its base its twice the width. Material for the base costs of $10 per square meter.
Constraints, Decision variables, Objective functions
Two masses of 14 kg and 7 kg are connected by a light inextensible string passing over a pulley and the system starts from rest and moves for 3 sec, when the string breaks.Find after what further interval of time the smaller mass comes to its orig..
Compute the expected profit associated with each posible production level (assuming Tom will only produce at one of the possible demand levels) for each type of pizza.
Determine the probability without replacement
A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me..
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
Operator A began working at 9 AM. The probability that Operator A finishes before Operator B is 0.90. What time did operator B start working?
Use the equation of least squares line to predict percentage
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