A particle travels along a path from (0, 0) to (3, 4). What is thedisplacement? Can the distance traveled be determined from the information given?

Q: 6. Find the shortest distance from B6,0,0) to the pane Ax + By tCz +D= 0 where A, B,C and D SR .

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Q: The Critial Points of fcx,y)t+Ý-4y subject to the x+y=9 is O (o,さ3), (は5,2) ④ (e, さ)さ何,) None of…

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Q: Find an arc-length parameterization of the line passing through (1, 0, 1) and (1, 2, 3).

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Q: 3) Show that the tangent(45°) = 1. Let "u" = 22.5°, use calculator %3D

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Q: A 1-i

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Q: Find the minimum distance from the point (8, 3, 4) to the plane x - y + z = 4. (Hint: To simplify…

A: Let ax+by+cz+d=0 is a plane  Then distance from the  a point (xo,yo,zo) is D= |axo +byo +czo…

Q: For a χ2-curve with 27 degrees of freedom, find the χ2-value having area 0.01 to its right.

A: It is given that, Level of significance=0.01 Degree of freedom =27 The χ2 critical value can be…

Q: Find the orthogonal compliment to S span{ 0 }. ||

A: To find the orthogonal complement to S spanned by two vectors .

Q: Find the Fourir for fcae) = (1+x) [-x, ] %3D

A: Given function is fx=1+x and −π,π We have to find the Fourier series of fx. The Fourier series of fx…

Q: Compute Sc(2x + V) ds, where C is the curve from (0,0) to (2, 4) along y

A: Given

Q: The value of the line integral fydx + xydy over the straight-line path C from (0, 0) to (1, 2)…

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Q: If C is the line segment which begins at (-2, 1) and ends at (2, 4), evaluate the line integral: e+y…

A: Given, The line integral ∫Cex+yds Where C is line segment from the point -2,1 to the point 2,4 So,…

Q: Find the exact length af te of the curve, 2. x-

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Q: Compute f, f for f(z) = sin(5z) and path y that is the line segment from 3 – 6i to -6+ 6i.

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Q: If C is the line segment which begins at (-2, 1) and ends at (2, 4), evaluate the line integral: et…

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Q: Find the orthogonal trajectories of the family of circles with center at the point (0, 1) and radius…

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Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. y =…

A: Consider the provided curve, y=cx2 Find the orthogonal trajectories of the family ofcurves. First…

Q: To/t Integrate Ua ko To 3. Uz kg 2. eT-1

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Q: Conotrut a onatn'x whode Columu 8pure (leli2) & whole cli5) 10 is spanned by now &pale in Bpanned by

A: Column space is spanned by 3-dimensional vector. Row space is spanned by 2-dimensional vector.…

Q: Compute the length of the curve 3ti – 6tk over the interval 8 <ts 18.

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Q: Straight lines with slope twice the x-intercept.

A: Let us assume x-intercept is a. That is, x = a when y  =0. So,  slope  =2a. Let us assume that the…

Q: (o, 1,) 1. find th directional denivatve in the dire chons of at 2 Gve inter pretahon of amp uted…

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Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

Q: Suppose that we start at the origin in the xy-plane and take n unit steps (i.e., each step is of…

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Q: Which of the following is the least distance from the point (2, –1,1) to the plane x + y – z = 2?

A: Given: The plane equation is x+y-z=2and the distance from the point is 2,-1,1 To find the least…

Q: 2. Approximate f,(3,5) using the contour diagram of S(x, y) in Figure 14.9.

A: Given query is to find the value of fx(3,5).

Q: Find orthogoral trajectory to the family of dircles 3 x² + y? = 2Cy.

A: We have given equation of curve x2+y2=2Cy Then, differentiate both sides we get…

Q: Obtain the dirfferential equation of the family of curves:  1. All circles passing through the…

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Q: Evaluate the line integral Sc (2x² − 3y) dx + xy dy, where the curve/path C is the line 3 y = 2/2 x…

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Q: Find the distance between the given skew lines: x = 4+9t, y = 5+ 3t, z = 7- 6t x= 8 – t, y = 9, z =…

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Q: Find the minimum distance from the point (6, 1, 6) to the plane x - y + z = 6. (Hint: To simplify…

A: To find the minimum distance from the point (6,1,6) to plane x - y + z = 6. By using formula,…

Q: 7) If A = xz³i – 2x²yzj + 2yz*k, find VxA at the point (1,-1,1).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: dual of c, is isometric to l'.

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Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

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Q: 8. 1 uy? length of the given ven Curve, Find the

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Q: Find the shortest distance from the point (0,2,3) to the plane x+2y+z=1

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Q: . By sketching the traces on the ry-, xz- and yz-plane

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Q: Evaluate aned on c indicatid curve 2. 2. y+ Y( sm3x +ca 32,22 3t ,4=t,0zt2|

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Q: Find first and second fundamenta! Texm U-V e Cos 2sin U-V of

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Q: Find the upper bound of zdz, where Cis the line segment from 1-/ to 1+ Attach File Browse Local…

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Q: Evaluate the line integral 3ydx + 6xdy where C is the straight line path from (1, 2) to (6, 5). Sc…

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Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Every plane curve has a unique parameterization. O False. OTrue.

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Q: 3,4 show that the integsal (Xy°ty%dx + 3) Independent of the path joining the peints (1,2)and 3,4).…

A: A function F is path independent if it is conservative. And if a function F is conservative then…

Q: Find the equations of the tanget plane and normal line to the graph of In(z2) x -= 3y³ – Vx at the…

A: Given graph is                                                        lnz2x-eyx=3y3-x Again…

Q: Find the length of the curve ƒ1x2= x3&gt;2 between x = 0 and x = 4 (as shown).

A: Given curve is fx=x32. To find the length of curve between x=0 and x=4. Solution: We know that…

Q: Obtain the dirfferential equation of the family of plain curves given 1. All circles passing…

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Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: 5. Show that the following orthogonal families of curves: are x² + y² : = ax, x² + y? = by

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Q: Evaluate | xyzdx + In(xy)dy + xzdz over the straight line segment from (2, 1, 1) to (–1,1, –2)

A: We need to evaluate integral∫Cxyzdx+lnxydy+xzdz over the line segment from 2,1,1 to -1,1,-2.