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Plot the point whose polar cooridnates are given
1. (-2, π/2)
Find the cartesian coordinates of the given point?
2. (-2, 3/2π)
3. (18 square root of 2, π/4)
find the polar coordinates, 0<)<2π and r > r0, of the point given in cartesian coordiantes.
4. (1/3, √3/3)
Evaluate integral of [z/(z^2 + 2z + 5)] dz , c = unit circle ,Z here is a complex number isn't the integral value be zero because z = -1+2i & z = -1-2i both singularities lies outside the contour ?
Compute the work required to compress a spring 2 more cm when it is already compressed 3 cm, assuming that the spring constant is k = 150 kg/s2.
How do you determine whether an ordered pair is a solution to a linear equation? Can you demonstrate with the below examples?Determine whether the ordered pair is a solution to the given equation.
Assume that adults have normally distributed IQ scores with a mean of 100 and a standard deviation of 15 find the probability that a randomly selected adult has an IQ score between 67 and 133.
Parameterize a cycloid: the path of a point on the circumference of a circle of radius a as it rolls without slipping along the positive x-axis.
stuart needed to purchase cleaning supplies for his company. he purchased 15 rolls of paper towels for 0.65 each 15
Compare cost per square inch of pizza for each pan size offered by a restaurant.
From the top of a 175 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Given the same conditions in the initial question, how long will it take Per Capita GDP to double if the population grows at 2%?
The customer also wants to use the smallest amount of material possible in building the tank. What radius and height do you recommend for the cylindrical portion of the tank? Use Lagrange multipliers.
An executive's telephone log showed the following data for the length of 30 calls initiated during a day. Develop a frequency distribution
Two fires towers are 30 kilometers 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. Find the distance d of the fire from the line segment AB.
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