in m imz1 = 7x and mz2 = 5x + 30, lines m and n are parallel when x equals %3D А. 12.5 15 C. 87.5 D. 105 B.

Q: If u=2x+y and v=x-2y then the st ream line is y? x2 Pxy+ 2 2 ylgn ihi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If D is the distance between the skew lines L:x=1+t, y=1+6t, z=2t L2: x=1+2t, y=5+15t, z=-2+6t, then…

A:

Q: If D is the distance between the skew lines L:x=1+t, y=1+6t, z=2t L2: x = 1+2t, y=5+15t, z=-2+6t,…

A: given : the equations of two skew lines are: L1: x=1+t, y=1+6t, z=2tL2: x=1+2t, y=5+15t, z=-2+6t D…

Q: 20. Evaluate l Vx + 2y ds, where C is a. the straight-line segment x = t, y = 4t, from (0, 0) to (1,…

A:

Q: If D is the distance between the skew lines L1 x=1+1, y=1+61, z=21 L2 x=1+2t, y=5+151, z= -2+61.…

A:

Q: For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3y = 1?

A:

Q: If A = and if xy = 1, then det ( AAT) is equal to y a

A: We have, A=axya As we know that, transpose of a matrix is obtained by changing rows to columns and…

Q: Given the lines li and le: li8a = 1+も」 y = -2 -t, z = 3 -2t, l2: 2-2 y+ 1 3-Z - 3 skewed. 1) S how…

A:

Q: 2. Evaluate (x² + iy) dz, where C is the straight line from z = 1 to z = i.

A: to find  ∫Cx2+iy3dz,  where C is the straight line from z=1 to z=i proof using giving condition we…

Q: Show that if x', y are the deviation of the variables from their means, then x Yi r=1. Σ 2N - Ox Oy…

A:

Q: If a particle moves on a line according to the law s = t§ + 2t³, then the number of times it…

A:

Q: A line can combine unites of inputs Cx) to produce processing units of output cy such trat there is…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Show that the lines of equations x=−1+t , y=−2+t, z=3t for t∈R and x=5+s, y=−8+2s, z=7s for ?∈ℝ are…

A:

Q: find value(s) of k so that the lines described by 3x = 2y+11 and kx = 40 - 6y are perpendicular

A:

Q: 4. The square STUV has diagonals that intersect at point W, where SU = 4x + 26 and TW = 8x- 41. Find…

A:

Q: Sc 7ydx + 3z dy where C is the straight line path from (2, 4) to (4, 7).

A: The parametric equation of the straight line between the points (a,b), (c,d) is x-ac-a=y-bd-b=t,…

Q: ize P= 3z + 4y E to 21 + vS 16 27+ 3y S 24 z20, v 20

A: Introduction: Linear programming is the most basic method for optimizing a problem. We can use this…

Q: If D is the distance between the skew lines L:x=1+t, y=1+6t, z=2t L2: x=1+2t, y=5+15t, z=-2+6t, then…

A: here we the formulae   the a plane have normal n→=<a,b,c> and passes through a point (x1 ,y1…

Q: Find the ic by using Least cost Method? Di Dz D3 Dy supply 10 20 %3D 15 12 7) 20 2, 25 14 16 18 15…

A: D1 D2 D3 D4 supply S1 10 0 20 11 15 S2 12 7 9 20 25 S3 0 14 16 18 15 Demand 15 15 15 10…

Q: 1. The lines 4: x=1-t, y=2+t, z=-2-t; 12:x=3+s, y=-1+s, z = 2s are skew.

A:

Q: The closer to zero the stronger relationship and the closer to 1.0 the weaker the linear…

A:

Q: Consider the skew lines: rị(s) = (s+1, –2s+2, –s+3) r2(t) = (-t, 2t, 3t +2) Find the distance…

A:

Q: If b = C+ Dt is the best straight line that fits the points (-2,5), (-1,4), (1,3), and (2,2) then O…

A: Tabulate the given ordered pairs as follows, x y -2 5 -1 4 1 3 2 2 The formula for the…

Q: If A = and if xy = 1, then det ( AAT) is equal to y

A:

Q: If D is the distance between the skew lines 4 x=1+t, y=1+6t, z=2t L2 x=1+2t, y=5+15t, z=-2+6t, then…

A: first we will  convert given parametric equations of lines, then we will find  a1,b1,a2,b2 after…

Q: 2. the live in IR and haring Passing through He oryin as it's divechor vecter intersects the line…

A: The line in IR3 passing through the origin and having 1u3 as it's direction vector intersects the…

Q: If D is the distance between the skew lines L: x=1+t, y=1+6t, z 2t L2: x=1+2t, y=5+15t, z= -2+6t,…

A: Two lines in space can be skew, parallel and intersecting. Lines are skew if they are neither…

Q: Find the distance between the skew lines: x = 8+6t, y = 5+ 9t, z = 7 – 5t y = 9, I = 6 – t, z = 2+…

A: Given, x=8+6t, y=5+9t, z=7-5tx=6-t, y=9, z=2+4t To find: Distance between the two given skew lines

Q: 6. Suppose we want to find a line y = Bo + B1x that best fits the following data:

A: 6. Given,

Q: Consider a crowded beach where the population of beach-goers is uniformly distributed across its…

A:

Q: (I).If Z=4cosw−6w,Z=4cos⁡w−6w,  find the relative percentage error in  ZZ  at w=0,w=0, if the error…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: The equations [2, 1, 6] + t[6, 1, 4] and [4, 1, 3] + s[2, 10, 9] Are parallel Intersect at one point…

A: Topic = Lines Given lines are skew lines.

Q: If i = xi+yi+zk then grad (r") is equal to

A:

Q: The equation of a line perpendicular to 4x+7y– 63 =0 is Oy- z 6 Oy--- I. Oy =z+

A: See the details solution in below

Q: Find the distance between the skew lines i(t) = (3, 0, – 2)t + (7, 9, 0) and p(s) = (4, – 4, – 5)s +…

A: We have to find the distance between skew lines.

Q: In AXYZ, PQ I| XY.If XZ= 15, YZ= 12, and ZQ = 8, what is ZP?

A: given XZ=15, YZ=12, and ZQ=8What is ZP?

Q: If D is the distance between the skew lines L: x=1+t, y=1+6t, z=2t L2 x=1+2t, y=5+15t, z= -2+6f,…

A:

Q: {(x, y), 4.x2 + 9y² < 36} C R2 ected? pathwise connected? Justif

A: Connected and path connectedness

Q: If u=2x+y and v=x-2y then the st ream line is y? x2 2xy+ 2 %3D

A:

Q: (D³ + 2D² − 5D − 8)y = 0, when x = 0, y = 0, y' = 0, y = 2 - -

A: Given  (D3+2D2-5D-8)y=0 and when x=0, y=0, y'=0, y''=2. The formula for differentiation is…

Q: Find the distance between the skew lines r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

A: Given r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

Q: 3. Find the complete solution of the giyen DE using the Method of Variation of Parameters: y" + 44…

A:

Q: 2 14 - For what value of K is the line 2x+ky = 3 Perpen odicular to the line 4x+y=12 For what the…

A: We will find to the value of k when  the line ,2x+ky = 3 perpendicular to the line 4x+y=1 . And olso…

Q: 11.) If mVQ = (y + 7)', mQR = (x + 11)', mRS = (3y)', and mST = 65', find the values of x and y. %D…

A: Given- If mPQ⏞=y+7°, mQR⏞=x+11°, mRS⏞=3y°, mST⏞=65° To Find- The value of x and y.

Q: If x represents the average rate of a plane in still air and y represents the average rate of the…

A: To determine Plane's rate with the wind  and Plane 's rate agaunst the wind

Q: 13. Evaluate (2x + y + 3z) ds, where C is the straight line from (0, 1, 1) to (1,0, 1).

A: we have to evaluate

Q: Explain why the lines below are skew. l1: (x, y, z) = (-2, – 2, – 2) + n(1, 2, 3) and l2: (x, y, z)…

A: To show that the given two lines are skew lines. The two lines are                          l1 = (-2…

Q: Tind The E94ation of line which is normal to the lines X-2 = マー 3-2 %3D - and 2-X %3D 2. 3. 2.

A:

Q: If u=2x+y and v=x-2y then the st ream line is y2 x2 2ху+ 2 صواب ihi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.