Geometry question and answers for September 12, 2023
- Q Find all solutions z = x + iy of the equation f(x) = ai where a is a strictly positive real number andf:C--> C:2 -->e^iz + e^-iz.
- Q Sketch the following regions in cylindrical coordinates:(a) 1 ?r ? 3,0 ? ? ? ?/2,0 ?z?1(b) r + z = 9 (Hint: what is this in Cartesian coordinates?)
- Q If a person obliquely leans on the wall with a protruding part at the bottom as follows and is measured at 180cm, how can I calculate the difference with the...
- Q An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available 3,392.92 cubicinches of the liquid is to...
- Q A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a...
- Q Type the correct answer in the box. The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324?t cubic centimeters. The area of...
- Q A satellite launch rocket has a cylindrical fuel tank. The fuel tank can hold V cubic meters of fuel. If the tank measures d meters across, what is the height...
- Q A cylindrical can has a radius of 7 inches and is 3 inches tall.Find the volume of the can.Volume =_________
- Q The volume of a sphere with radius r is given by the formula V = 4/3?r. Find the volume of a sphere with diameter 30 inches is __cubic inches.Use 3.14...
- Q Determine the type of the second-ordersurface and find the coordinates of its center(if it exists): 3x + y + 4z - 2xy - 6xz+4yz + 4x - 2y - 6z=...
- Q A gumball has a radius that is 32 mm. The radius of the gumball's spherical hollow core is 28 mm. What is the volume of the gumball if you do...
- Q A regular right square pyramid has a lateral surface area of 161 m and a total surface area of 235 m. Determine the length of the edges of its base,...
- Q Problem 18. Let P = (0,1/2), Q=(1/2,0) and R = (-1/2,0).1. Compute the perimeter of the hyperbolic triangle ?PQR.2. Compute the angles ?PQR, ?QRP and ?QPR.
- Q Out of 100 emails, 60 are spam and 48 of those contain the word buy. Of the remaining 40 emails that are not spam, only 4 emails contain the word...
- Q Calculate the volume of a cylinder that is 5 cm tall with a radius of 4.3 cm. Round to the nearest tenth of a cubic cm Enter the number portion...
- Q Amy has a box containing 6 white. 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks a white marble. In...
- Q Select the correct answer. A company that manufactures smartphones makes 70% of the phones with a touch screen and 55% of the phones with HD movie capability. 30% of the...
- Q In the accompanying diagram of circle O, AOED is a diameter, PD is a tangent, PBA is a secant, chords BD and BEC are drawn, m?DAB = 43, and m?DEC...
- Q Find the shortest distance from the point P to the plane and find the point Q on the plane closest to P if P(2, 3, 0) and the plane has...
- Q The given plane intersects the following paraboloid in an ellipse. Find the points on the ellipse that are nearest to and farthest from the origin.x + y + 2z =...
- Q Which of the following statements is false?A. A square is a regular quadrilateral.B. The diagonals of a rectangle are perpendicular.C. Opposite sides of a parallelogram are congruent.D. A rectangle is...
- Q In AABC, |OG| = 2, |GA| = 3 and |A'O = 4. What is R? (As usual, O is the circumcenter, G is the centroid, A' is the midpoint of...
- Q Use spherical coordinates.Evaluate ???Ex y dv, where E is the solid hemisphere x + y + z ? 4, y ? 0.
- Q Use cylindrical or spherical coordinates, whichever seems more appropriate.Find the volume of the smaller wedge cut from a sphere of radius a by two planes that intersect along a diameter...
- Q Use cylindrical coordinates.Evaluate ???E (x - y) dV, where E is the solid that lies between the cylinders x + y = 1 and x^2 + y^2 = 16, above...
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