Calculus question and answers for July 02, 2023
- Q Find the lateral area and surface area of the cone below. 515.8 ...
- Q For y=10 sin 2x, its amplitude is ?its period is ?
- Q State the x-, y-, and z-intercepts for each of the following three planes: i. ??: 2x + 3y = 18 ii. ??: 3x - 4y + 5z 120...
- Q For each given equation, sketch the corresponding plane.(a)2x + 2y + z-4 = 0
- Q For each of the following equations, sketch the corresponding plane:(a) ??: 4x - y = 0(b). ?3:2 = 4
- Q Name the three planes that the equation xyz = 0 represents in R.
- Q Which of the following is the focus of the parabola with the equation (y + 4) = 12x?(A) (-3,-4)(B) (0, -1)(C) (0, -7)(D) (3, 0)(E) (3,-4)
- Q Find the distance between the pair of points.(0,0) and (9,- 12)The distance between the points is _________ units.
- Q Seawater has density 1025 kg/m and flows in a velocity field v= yi+xj, where x, y, and z are measured in meters and the components of V in meters per...
- Q The equation of the parabola with focus (2, 1) and vertex (2, 4) is:La ecuacin de la parbola con foco (2, 1) y vrtice (2, 4) es: (a) (x-2) =...
- Q Let g(x) = 2x - 4x +9Determine the value(s) of x, if any, for which g has a horizontal tangent line.(A) g has a horizontal tangent line at x =...
- Q Si u=(-1,5); v = (5.-6), entonces la magnitud de 3u-2v es:(a)?178(b) 4?35(c) ?898(d) 4?10
- Q At a tournament in San Diego, a bowman shoots a arrow. The arrow moves along a parabolic trajectory. The highest point is reached by the arrow is 320 feet in...
- Q The minimum SOP form of the following function F = xy +z is(a)xy+xz+x'y'z'(b)xyz'+xy'z+x'yz+x'y'z'(c)xyz+xy'z'+x'yz'+x'y'z(d)xz+yz+x'y'z'
- Q Find the intersection of the line l and the plane ?.l:r =(4,-1,4)+t(5,-2,3)?: 2x+5y+z+2=0
- Q Suppose sin (2x) = 3/5.Then cos(x) = __________ (If there is more than one possible value, enter the values separated by commas)
- Q what is the net signed area bounded by g(x) = 3x and the x-axis on [-1,1]?Use a graph and a simple geometric formula to figure this net signed area.
- Q A small retail business has determined that the correlation coefficient between monthly expenses and profits for the past year, as measured at the end of each month, is r= 0.56....
- Q (05.03, 05.04 HC)Triangle ?ABC has side lengths of a = 16, b= 16?3, and c = 32 inches.Part A: Determine the m?A. Part B: Show how to use the unit...
- Q In the summer, humidity interacts with the outdoor temperature, making a person feel hotter due to a reduced heat loss from the skin caused by higher humidity. The temperature-humidity index,...
- Q Write the equation of the conic section shown below.
- Q This problem has two parts.Part 1: Here is the graph of 3cos(3x +(1/4)? ) the interval [- ?, ?].Give the coordinates of point A, the y-intercept:_______(To enter, type "pi" or...
- Q Determine if the equation specifies a function with independent variable x. If it does, find the domain. If it does not, find a value of x to which there corresponds...
- Q Find fxx, fxy, fyx, and fyy for the following function. (Remember, fyx means to differentiate with respect to y and then with respect to x.)f(x, y) = e^(9xy)fxx = 0fxy...
- Q Write the equation of the line through the indicated point with the indicated slope. Write the final answer in the form y = mx + bm =7/2; (2, 2)The equation...
- Q For each of the following, show that the given line and plane do not intersect.Explain how the equation that results implies there is no intersection. a). L: r = (-1,...
- Q For each of the following, show that the line lies on the plane with the given equation. Explain how the equation that results implies this conclusion.a. L: x = -2...
- Q The CN tower is 553m tall. A person is south of the tower, in a boat on Lake Ontario at a position that makes an angle of elevation of 10...
- Q An airplane is flying at 650 km/h on N60 W. The wind is blowing at 40km/h from N75E. Calculate the magnitude and direction of the resultant force. Draw a diagram...
- Q For the following, determine points of intersection between the given line and plane, if any exist: a. L: r = (-1, 3, 4) + p(6, 1, ?2), p? R; ?...
- Q Find the inverse of by hand. Use matrix multiplication to prove they are inverses
- Q The line has an equation of y=2x intersects the curve y = 8x, Determine the area between the curve and the line.A) 17/3B) 11/3C) 4/3D) 7/3
- Q For the equation 2x + 4y = 11, determinea). the number of solutionsb). a generalized parametric solutionc). an explanation as to why it will not have any integer solutions
- Q Let u =(5,-2), v = (-1,0), and w = (-8,6). Calculate u + 3w - 5v.
- Q Find two unit vectors perpendicular to (2,-2,-3) and (0,2,1). Use the dot product to verify the result is perpendicular to the two original vectors.
- Q Find an equation of the circle that has center (-1, 6) and passes through (1, -3).
- Q Express as a complex number in simplest a+bi form:-3 + 21i/9 - 3i
- Q Marshal invests $4500 into an account bearing 6% interest, compounded semi-annually. How much interest will be added into this account after five years? Round to the nearest cent.
- Q Find an equation of the circle that has center (6, -4) and passes through (-2, 0).
- Q Determine the Cartesian equation of the plane.F = (0,0,3) + S(1,1,4) + t(-2,1,5), (S, t) ? R
- Q Find the absolute maximum and the absolute minimum of f(x, y) = 2x + y on the closed and bounded set {(x, y): x + y ? 1}.
- Q A sinusoidal function has an amplitude of 4 units, a period of 180, and a maximum point at (0, 9).a) Represent the function with an equation using the cosine function.b)...
- Q Determine the angle between the following lines:R1= (1,2,3) + (0, 1,-3), t{RR2= (-5,2,0) +5(1,-1,4), SER
- Q Determine the vector and parametric equations of the plane:3x - 2y +z - 5 = 0
- Q A town has a population of 6000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will reach 9400?
- Q An audio cable is 14.5 dm long. How long is the cable in meters?Be sure to include the correct unit in your answer.
- Q Determine the angle between the following lines:P? = (1,2,3) + t(0, 1,-3), t ? RP? = (-5,2,0) +S(1,-1,4), S ?R
- Q Determine the angle between the following lines:F? = (1,2,3) + t( 0, 1,-3), t ? RF? = (-5,2,0) +S(1,-1,4), S ? R
- Q Find the exact value. sin(17?/12)Write the given angle17?/12 as a sum of two special angles: Enter the combination with the smallest angle first. Enter the smaller angle on each possible...
- Q Determine the coordinates of the point where the plane with the below equation crosses the z-axis:(2, -1, 4)+ s(3, 1, -2) + t(-1, -1, 2)
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