From the applied mathematics question, how to solve it?
From the applied mathematics question, how to solve it? Two planes, P, and Pa : P.:...
Find the distance between the two parallel planes. Planei: 2x + 3y + 92 = 9 Planez: 4x + 6y + 182 = 306 Distance: Submit Question
Solve these two systems of linear equations questions A B x + 3y + 4z = 3 2.c + 7 + 72 = 4 3x + 13y + 8z = 1 3 Let the reduced row-echelon form of the augmented matrix, representing a system of four linear equations in the five unknowns r, s, t, u, and V, be as shown. Write out the general solution of the system of equations. 1 0 9 0 7 0 1 8 0...
pls solve these three parts of the question a) Show that the vector + =(x+2y+4z)i +(2x-3y-z)j +(4x-y-22). is irrotational and find its 7 scalar potential. b) Find the directional derivative of xyz + xz at (1, 1, 1) in a direction of the normal to the 171 surface 3xy? + y= z at (0, 1, 1). c) Find the angle between the normal to the surface x2 = yz at the points (1, 1, 1) and (2, 4, 1). (6)
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent planes to the two surfaces at P(2,0,-8) are perpendicular. whether the lines parallel, 2-z & 12 Marks] 4x2 +9y2-24. (B) Find the points on Si at which the tangent plane is parallel to the plane x+y+32-5 3 Marks] Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or...
3. Consider the following system of linear equations: 2.0 + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 72 = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 4. Solve the following system of linear equations using Gauss-Jordan elimination: x1 + x2 - 2.13 + 24 +3.25 = 1 2.x1 - x2 +...
How do you find rejection regions? Here's the question: Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing H_0: p =0.5 vs. H_a: p != 0.5 based on a random sample of 25. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of...
show work n answers only please 1. Is the point (1,0) on the graph of -1=y? Explain. 2. Find the equation of the line parallel to 3y - 2x = 1 passing through the point (1,2). 3. Evaluate the difference quotient for the function $(x) = x2 - 4x +1 4. If h(x) -1ja? - 21, find functions f(x).9() so that (fog)(x) -() where neither f(x) nor g(x) is equal to h(x). Is (1) even, odd, or neither? 5. For...
Please solve and explain how its done. Two identical circular thin-wire loops carry the same current I=7.8 A and are positioned "parallel to each other as illustrated in the figure below. The planes of the loops are perpendicular to the line connecting their centers 01 and 02. The radius of the loops a=0.9 cm and the distance between the loop planes b=1.53 cm. 0:0 G. What is the magnitude B1 of the magnetic field at point 01?: B1= What is...
Question: Use completing the square method to solve x2=2x-8=0 A man driving to work has to pa... Use completing the square method to solve x2=2x-8=0 A man driving to work has to pass through three sets of traffic lights and the probability that he will stop at any of the lights is 3/5. Draw a tree diagram to represent the above information and find the probability that he will stop at all three lights sets. By the formula solve the...
Two doctors independently examine a person randomly chosen from a certain population to check for the presence or absence of a particular disease. Let CA be the event that Doctor A makes the correct diagnosis, CB the event that Doctor B makes the correct diagnosis, and D the event that the randomly chosen patient actually has the disease in question. The doctors are equally skilled, so we have P(CAD) = P(CB|D) = pi and P(CA|DC) = P(CB|DC) = po Finally,...