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Let f:from C to C be analytic. Define g:from C to C by g(x)= ~(f(~z))^2. Show that g is analytic.
Find the equation of a line that is perpendicular to the line y=1/2x+3 and contains the point (-8,0) y=?
Describe the geometrical shape that is described by the equation you found in part 1, and find its intersection points with the axis.
In Konigsberg, Germany, a river ran through the city such that in its center was an island, and after passing the island, the river broke into two parts.
Let x1 ? X and Cx1 : X?X be the map defined by Cx1 (x) = x1 . Show that idx and Cx1 are homotopic.
Describe the advantages and disadvantages of the synthetic, analytic, and vector techniques for proving a given theorem in Euclidean Geometry.
Determine which of the reflexive, symmetric, and transitive properties are satisfied by the given relation R defined over set S.
A landscape architect is drawing plans for a rigid lightweight canopy to provide shade for a patio. Two poles will support the canopy.
Find the equation of the sphere that go through the points (1, -3, 4), (1, -5, 2) and (1, -3, 0) and has its center in plane x + y + z = 0
The quadrilateral ABCD has the following lengths of sides and diagonals: DC=7, CB=8, BA=13, AD=13, AC=15, and BD=13.
How do you understand further trigonometry and four-point method? Provide complete and step by step solution for the question.
The foot, F, of a hill and the base B, of a vertical tower TB, 27 metres tall, are on the same horizontal plane.
Write a trigonometric function for a ball dropped from a distance of 5ft from the floor. Let the x-axis represent the time after the ball was dropped.
Another herring gull also ringed at Llyn Trawsfynydd, was found at Barmouth. The finding place is 23km from Llyn Trawsfynydd on a bearing of 203 degrees.
The minimum number of daylight hours in a day was 7.82, and this was recorded in week 51.
In terms of radians and X, what would be the specifications of the anlges for trigonometric points which result from the following transformations.
Find derivatives of these functions chosing appropriate methods. Provide complete and step by step solution for the question.
Solve the equation for solutions in the interval [0, 360). tan 4x = 0
Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].
A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad.
From a boat on the lake, the angle of elevation to the top of a cliff is 16° 10' If the base of the cliff is 1216 feet from the boat, how high is the cliff .
Solve the equation for solutions in the interval [0, 360). cos 2x= v3/2
"There is a bamboo 10 ft. high, the upper end of which being broken reaches the ground 3 feet from the stem. Find the height of the break."
An overhead wire stretches from the service drop on a building, which is 20' from the ground, to an insulator on a pole which is 35' from the ground.
The angles of elevation of a balloon from two points A and B on level ground are 24°50' and 47°20', respectively.