Question 9 What is the distance (in ft) between the following two points: a-xy 22] use...
QUESTION 4 Use the distance formula to find the distance between the two points. 4-6, 19) and (-6, -15) a) 4 b) 4 a.. b.. c) 34 . d) -34 d. QUESTION 5 The slope of a line is given. Find the slope of a line perpendicular to the given line. lu b.ec d QUESTION 6 Find the x-intercept and the y-intercept. 4x-3y=-12 a) x-intercept: (4,0) : y-intercept: (0,3) b) x-intercept: (3,0): y-intercept: (0,4) c) -intercept: (0,0): y-intercept: (0,0) a)...
question #6
1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1 (d) r2+y-22+1 0 (e) -y2+-1 0. 2. Find an equation for the surface consisting of all points that are- point (1,-3, 5) and the plane r = 3. 3. Sketch the curve F(t)<t cos(t), t sin (t), t > 4. Find a vector equation that represents the curve of the intersec r2y =9 and the plane y + z = 2. 5. Find a...
Problem #29: [2 marksFind the shortest distance between the following two parallel lines. x = 1 y = 4 x = 6+t = 0 z = 3 z = 7 Problem #29: Enter your answer symbolically, as in these examples
1. (a) (3 points) What is the distance between any two consecutive numbers in the interval from 12510 to 62510 when using a precision k = 4, base 5 floating-point number system? The answer should be in decimal. (b) 3 points The evaluation of f(0) = 1 - cos x in floating-point arithmetic suffers from subtractive cancellation when x is close to 2. Determine an alternate way of evaluating f(x) that does not suffer from subtractive cancellation for those same...
Question 7 * Use implicit differentiation to find of the following curve at the point (1, 29). y= x + sin xy b- Show that as, is zero in two differentiation steps only f(x,y) = xey?/« axay - Show that ox ay is zero in three differentiation steps only. f(x,y) = y² + y(sin x - **). z = -1 Question 8 Let w = z - sin(xy) where x = at y = ln(t) Find dw/dt by:- 4. Using...
1) (a) Show that the shortest path between two given points in a plane is a straight line, using plane olar coordinates (b) Let the path between two points lie in a 3-D space, and let the coordinates be parameterized by a "time" t, so that x-x(t). У-y (t), and z-z(t). Write the integral to be minimized and the Euler-Lagrange equations. [Hint: It may help, but it's not necessary, to write all of the equations in vector form]. Find the...
find the distance between tha following given lines
x = 5 +t, y = -1, z = 8 + 2t x - 2_y - 22+1 -1 4 3
Question 5 10 points Save an Use the cross product to determine the area of the triangle whose vertices are at the following positions: 91 =[x y z] qz = [a b c] q: = [dhs] use the following values: a = 5; b = 2; c =7; d = -5; h = 4; f =-2; x = -6; y = 6; Z=-6 all in meters.
Due tomorrow! I need help. The Boolean function F(x, y) = x'y + xy' + (x'+y')(xy) can be simplified to: x'y' 1 xy x Å y What is the simplified expression for the following Kmap? X'Z + XZ Y' Z + X'Z Z Question 3 (10 points) 3. 1. W' + WX'YZ' 2. W'Y' + W'Y + WX'YZ' 3. W'Y' + W'X' + X'YZ' W' + X'YZ' Question 4 (2 points) 4. There are ____________ megabytes in a terabyte. 230...
7. (4 Points) Describe what the marginal rate of substitution of x for Y (MRSxy) to us about a consumer's preferences between the two goods. 8 (4 Points) Suppose you have preferences over two goods, bottles of wine (good X) and slices of pizza (good Y). Explain what it means that for the bundle A = (3, 15), the MRSxy = 2. 9. For this question, use the utility function U(X,Y)= XY. (a) (2 Points) What is the marginal utility...