Calculus question and answers for July 18, 2023
- Q Determine the abscissa of the centroid of the area in the first quadrant bounded by the curve y=4ax and the latus rectum.A) 2a/5B) aC) 3a/5D) 4a/5
- Q A building has 100 apartments. When the rent is $1600 per month, all the apartments are occupied. However, when rent is $1700 per month, only 90 apartments are occupied. Assume...
- Q Compute? ? ? z(x + y2) d V, where E is a solid that lies within the cone z = -r +6 (in the cylindrical coordinates),below the plane z =...
- Q The angle between 0 and 360 that is coterminal with the 1962 angle is ______ degrees.
- Q Find an equation of the circle that has center (5, -1) and passes through (1, -6).
- Q Consider a 10 in x 10 in squared piece of paper. We want to cut off squares from the corners to make a topless box,1. If the squares have side...
- Q Let S be the square in the x y-plane shown in the figure below, oriented with the normal pointing in the positive z-direction. Estimate??F. dS where F is a vector...
- Q Determine the anti-derivative of e? + 5x - 2a) e? + 5x - 2x + cb) e?/3 + 5x/2 - 2 + cc) e?/3 + 5x - 2x + cd)...
- Q In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a maze is an exponentially distributed random variable with the probability...
- Q Find the volume of the region between the planes x+y+4z=5 and 2x+2y+z=10 in the first octant.
- Q For the given probability density function, over the stated interval, find the requested value.f(x)=(1/3)x, over the interval [-2.1]. Find E(x). A. 7/3 B.-5/4* C. -31/15 D. 11/5
- Q The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t) = ke???, 0?t<?, where k=1/a and a is the average...
- Q Use the washer method to find the volume of revolution generated by revolving the region bounded by the graphs of y = 2x,y = 8, and the y-axis about the...
- Q A number x is selected at random from the interval [4,20]. The probability density function for x is given by the following function. Find the probability that a number selected...
- Q This question: 1 point(s) possible The distance x, in feet, between successive cars on a certain stretch of highway has the following probability density function, where k = 1/a and...
- Q A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x represent the number that the dart hits. Suppose...
- Q Find the cumulative density function for the given probability density function.1f(x)=, for 4 ?x?8F(x)=, for 4 ?x?8
- Q Solve the rational equation.3/X + 3/ X-6 = 3X-15/X-6{- , 5/2,1/3)? {1} {1,6}
- Q Let g(u) = 2 + 12uDetermine the average value, g(c), of g over [1, 2].g(c) =Determine the value(s) of c in [1, 2] guaranteed by the Mean Value Theorem.
- Q Use Taylor series method of order two for the step by step integration of the differential equationsy'=tz+1, y(0)=0z'= -ty, z(0)=1with h= .1 and 0 < t < 0.2
- Q Evaluate the double integral??Rf(x, y) dAfor the function f(x, y) and the region R.f(x, y) = 5xy2; R is bounded by x = 0, x = 1, y = x,...
- Q Suppose F(4) = -7, F(6) = 5, and F'(x) = f(x).6? f(x) dx =4
- Q Find Ln, Rn, and their average for the definite integral below using the indicated value of n.5?(x+3) dx, n = 41The left Riemann sum, Ln, is (Simplify your answer.)The right...
- Q Find the derivative of the function f(x) = -4 -4 cos(x).f'(x) = -4x+4 sin(x)f'(x) = -8x+4 sin(x)f'(x) = -8x + 4 cos(x)f'(x) = -8x - 4 sin(x)f'(x) = -8x-4 cos(x)
- Q Find the moments of inertia Ix, Iy, I0 for a lamina that occupies the region D and has the given density function p.D = {(x, y) | 1 ? x...
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