Determine the least distance of the plane below from the origino 2л + 5у — 82 %— -4 Select one: 3.1 0.41 031 0.51

Q: Find the length of the spiral r=θ for 0≤θ≤4

A: Use the formula for the arc length then standard integral then simplify the result.

Q: Find the length of the curve x= 4y +- from y = 1 to y = 3. w/ The length of the curve is (Type an…

A: We find dx/dy using the power rule.

Q: TUESDAY: Plot the following coordinates on the plane. E = (3,2) F = (7,9) G = (10,3) H = (5,7) %3D…

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Q: Find the distance between the following skew lines -y+14, z= X-1 y =z+3 2 2

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Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

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Q: Find the midpoint M of CD M = (, ) X1+X2 Y1 %3D 21 C = (-2,-10) D = (-6,0) M = ([ ? ], [ ]) Enter…

A: Explanation of the answer is as follows

Q: Quadrilateral UVWX is an isosceles trapezoid, UW = 2s, and VX = 3s 53. What is the value %3D %3D of…

A: For isosceles trapezoid, the diagonals are of equal length

Q: Find the length of the curve: r = 5cos 0 1 2 3 4

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Q: Find the average height of a hemisphere z=sqr( 4-49x^2-49y^2 ) above the disk x ^2+ y^2 ≤4/49.…

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Q: 12) In the diagram below, Jose found the centroid P by construct medians. He measured CF and found…

A: Here P is the intersection point of median which is known as Centroid  of the triangle ,

Q: Use Lagrange mulapliers to hnd the point (a, b) on the graph of y– e%, where the value ab is as…

A: use lagrange multipliers to find the point a,b on the y=e6x where the value ab is as small as…

Q: Determine the measure of the acute angle between the planes whose equa- tions are shown below. Write…

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Q: Find the lengths of the curves in Exercises 55 and 56. 55. y = (r/8) – In x, 4 sxs 8 56. x = (y/4) -…

A: 55. Given : y=x28−lnx,       4≤x≤8

Q: Find the length of the curve. x = 413. y = 612. 0 sts v8 %3D The length of the curve x = 4t°, y = 6t…

A: Given curve x=4t3,   y=6t2    0≤t≤8

Q: Find the length of the curve x y? – 2y, 0< y < 2.

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Q: Find the distance between the skew lines defined by L1: ri(t) = L2:r5 (s) =

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Q: Find the length of the curve, L. y? = 16 (z+ 3),0sIs1. y > 0

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Q: Q4) What 3D figure does the net below form? *

A: Two opposite feces are triangular

Q: Find an equation of the form y = ab" + csin(r that fits the data below x 0 1 2 14 36 106 y 4 To fit…

A: We have to form an equation of the form y=abx+csinπ2x. Given data is: x 0 1 2 3 y 4 14 36 106…

Q: Find the length of the curve, L. y = 16 (a + 3)", 0s s1. y> 0

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Q: . PQRS is a parallelogram. Find the ratio of the areas of: a. APTO and ARSO b. ARPS and ATPS

A: Solution: Consider the given parallelogram PQRS. PT = 8 AND TQ = 4 therefore PQ = 8+4 = 12 = SR PS =…

Q: Find the distance between the following skew lines -y+48, ,z=0

A: The given equation of skew lines- x2=y+48,z=0x-12=y2=z+3 Above equations can also be written as-…

Q: Find the point on the curve g(I) z +5 that is closest to the point (-57, 5).

A: Q - Point on the curve g(x) = x2 + 5 that is closet to the point (-57, 5).f - If point on curve is…

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: Find the the given curve e length of -64e4€ 27 3. 3y 34 32

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Q: Find the total length of the curve r=acos-Ø A 5.52a B 3.12a (c 1.19a D) 6.89a

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Q: a) Sketch (hand drawn) the intersection of y? + z² = 25 and x = 3 in 3D. b) Also, describe the the…

A: When two surfaces intersect each other, a new curve is formed. The curve is referred to as the curve…

Q: A particle is moving with the given data a(t)= 3e^2t -2 cost, s(0)=0 and v(0)=0, find the position…

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Q: An artist creates two different designs for vases using the same cross-section figure, below, by…

A: There are no calculations that can be performed. We can only imagine. Option E is how the solid…

Q: Find the length of the curve  x=y4/8+ 1/4y2 , 1≤Y<B

A: Consider the curves, x=y48+14y2,   1≤y≤2 Differentiating with respect to ‘y” then,…

Q: Find the values of y where the straight line y = x+1 intersects with the parabola y = 4x? + 3.…

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Q: parallelogram JKLM, Complete the follOwing stater бу- 13 J. (6х + 17)° .K |2y + 23 |(2x + 3)° M 32 –…

A: Given : JKLM is a parallelogram

Q: Q5: Find the distance of the point (2. –2,1) from the line x-2 y-3 z+2 %D 2 4 3 measured parallel to…

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Q: Find the equation of the normal line to the parabola y = x + 3x – 2, that is also parallel to 7x…

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Q: Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the…

A: The scale factor is 3. Therefore, T(x, y) = (3x, 3y)

Q: Find the points on the cone z^2=x^2+y^2 closest to the point (4, 2, 0).

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Q: Find an equation of the form y = ab² + csin (a) that fits the data below 1 2 3 y 2 12 18| 48 To fit…

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Q: Find the area of the loop of the curve y? = x4 (4+x) Select one: O a. 34.02 sq units O b. 49.91 sq…

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Q: (c) Determine the natural cubic spline that interpolates the data f(0) = 1, f(3) = 2, f(8) = 3 and…

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Q: T U X 2.5 cm |10 cm S 5 cm V w Shannon drew two similar parallelograms. What is the length of WZ? A…

A: Recall: If two parallelogram are similar, each of the corresponding sides must have the same ratio.…

Q: Which figure has the GREATEST area? y. -7- P. Q. K M 3- R .-9.-7-5 -3 -1 -3 -5 9. 3- -5- O A. kite…

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Q: Find the minimum distance from the point to the plane x - y + z = 9. (Hint: To simplify the…

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Q: Find the distance between the skew lines: I = 9+9t, y = 2+5t, z = 3-7t x=6-t, y = 9, z = 6+6t NOTE:…

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Q: Find the distance between the skew lines defined by L1:(t) = L2: r2(s) =

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Q: Find the distance between the skew lines: y = 1+3t, y = 9, x = 3 + 8t, z = 4 – 9t x = 5 – t, z = 4+…

A: Given equation of line L1: 3+8t   , y=1+3t   , z=4-9t L2:   x=5-t  , y=9   , z=4+8t

Q: Find the distance between the skew lines: x = 5+ 6t, y = 2+ 3t, z = 8 – 3t z = 1+ 2t x = 9 – t, y =…

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Q: Evaluate the length of the curve y = 2 + Vx , 3 < y< 4

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Q: Find the shortest Distance d faumthe point to the plane X+y+Z=8.

A: Let's find.

Q: Q) find the best curve Y = axb passing through the :(points (xi, Yi „(8,11) ,(9,8) ,(6,5) ,(5,2)…

A: The given exponential equation can be written as follows: y=axb            ...1

Q: A skateboarder wishes to build a jump ramp that is inclined at a 19 angle and that has a maximum…

A: