xy dr + x?y° dy, C is the triangle with vertices (0,0), (1,0), and (1, 2).

Q: COSTZ (iii) dz, where C is the Jc (z²-1)2 circle |z – 2| = 2 counterclockwise.

A: Let fz=cosπzz2-12 and C is the circle z-2=2 fz can be written as fz=cosπzz2-12=cosπzz-12z+12…

Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

A: Given x=t2 and y=2+5t

Q: y Suppose that ARST is an isosceles triangle, with RS = RT. State an equation that relates s, t, and…

A: Given that △RST is an isosceles triangle, with RS¯≅RT¯.

Q: •ff yo y(x - y)dxdy over the parallelogram with corners (0,0), (3,3), (7,3), and (4,0) in two ways:…

A:

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: Q1/ Find the angle between the planes 3 x -6y - 2z = 15 and 2 x +y– 2z = 5

A: Explanation of the answer is as follows

Q: Find the condition for the points (a, 0). (h, k){0,b) when ab = 0 to be collinear.

A: Find the condition for the given points to be collinear.

Q: H.W Find the angles between the two curves y? = 4x and 2x2 = 12 – 5y %3D

A: in the given question we have to find the angle between the curves y2=4x and 2x2=12-5y. so for the…

Q: Q3)A) Find the acute angle between the planes 2x+2y-z=3and x+2y+z=2

A:

Q: x=3cos(2pi t)+2 y=-6cos(2pi t)+1 moving at t=0 seconds. what are the endpoints of the segment? how…

A: We have x(t) = 3cos(2pi t) + 2. y(t) = -6cos(2pi t) + 1. Then, tracing this curve we need to find…

Q: D A Find thepolar eavation for the cartesian curve (x²ty) - A)r-4 cos o =4x. Br°=4 cos e c)r?=4cos o…

A:

Q: W and T are the midpoints of the legs, VX and UY, of trapezoid UVXY. If XY = -2p + 58, TW = 3p - 48,…

A:

Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 2.

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: S r(t) = 2t2 l y(t)…

A:

Q: Eliminate the parameter t to find a Cartesian equation for: c= t and y= 10 + 2t. and express your…

A:

Q: Q6/ find the acute angles between the planes to the nearest hundvedthaf a vadian 4y+32 =-12 , 3X…

A:

Q: Q7) Find the angle between the planes 2x + y- 3z = 2 and -x + 2y - z= 1.

A:

Q: the plane according to the equations x = t² + 2t and y = 2t³ – 6t. Find dy/dx c. 3 d. 4

A:

Q: Find an equation for the plane through P0(-3, 0, 7) perpendicular to n = 5i + 2j - k.

A: given that the plane passes through (-3,0,7) perpendicular to n=5i+2j-k. we need to find the…

Q: Find the center C and the radius r of the sphere S: x2 + y? +z2 + 4x + 8y- 8z =-11

A: General equation of sphere  (x-h)2+(y-k)2+(z-p)2 = r2  center (h,k,p)  radius = r

Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 3y + 2z = 9.

A: Here we fnd the cosine of the angle between the planesx+y+z=0 and x+3y+2z=9

Q: The distance from the point S(1,1,0) to the line 3t, z = 2 - t is -T = 1- 2t, y = %3D |3D اخترأحد…

A: Givne that  The point S(1,1,0) line x=1-2t,y=3t,z=2-t To find distance from the point to the line

Q: W and Z are the midpoints of the legs, VX and UY, of trapezoid UVXY. If UV = p 15, WZ = p + 2, and…

A: Using mid point theorem of trepazium

Q: Eliminate the parameter t to find a Cartesian equation for: x = t2 y = 7 + 5t The resulting equation…

A:

Q: d counterclockwise as viewed from above. section of the plane x+z1 and the cylinder x + y? = 9.

A:

Q: Solve for x given BD = 4x+5 and AE =74. Assume B is the midpoint of AC and D is the %3D 20. midpoint…

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Q: 2n Find the rectangular coordinates for the point given in poloar coordinates:- 3, – 3/3 3 2 ' 2 a)…

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Q: H.W: Find the point where the line y=-2t, 1+t intersects the plane 3x+2y +6z 6

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Q: A solid figure projects the same shape on the x-y, y-z, and x-z view. Which of the following…

A: A solid object have same shape on x-y, y-z and x-z view.

Q: I. For z = 3 – j5 and z2 = -2 +, find the rectangular form of the following: a. z1 + z2 b. Z1 – --…

A:

Q: 2. Trapezoid QRST with vertices Q(3. 1). R(5. 2), S(10, 0), and T(4,-3); 270° counterclockwise about…

A: GIVEN Trapezoid QRST with vertices Q(3,1),R(5,2). S(10,0) and T(4,-3); 270 counterclockwise about…

Q: Find the condition for the points(a, 0).(h, k)(0, b) when ab 0 to be collinear.

A: When points are colllinear area should be 0Therefore, 12a01hk10b1=012ak1b1+1hkb1=0

Q: 3. Given r = t – 1 and y = t-2t, Eliminate the parameter and write an equation in rectangular…

A:

Q: I. Find I = ždz where C is the line segment from 3 +i to 3 - 2i.

A:

Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: Q/ Find the angle between the planes (x+y+Z=1)and (x-2y+32=1). And find the Symmetric equations for…

A: We have to find angle between two planes

Q: Ex (50) / Find the distance from the line = 2 +t, y = 1 +t, z = -1- 2t to the plane x + 2y + 6z = 10

A: Using. Distance formula form line to plane,

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: Sa(t) = 4t2 lutt)=…

A:

Q: DERIVE the formula (shown below) for the distance D between point, P0(x0, y0, z0) and the plane, ax…

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Q: Find the cosine of the angle, 0 Ses x/2, between the plane x +2y-2z= 2 and the plane 4y-5x + 3z =…

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Q: Find the angle between the two planes 4x-y+3z=12 and x+2y+4z=D4. Make a sketch of your answer.

A:

Q: Find the angle, in degrees, between the 2 planes with equations X-y+3z=1 and 3x+ y-z=D2

A: Take the normal vectors of the planes x-y+3z-1=0 and 3x+y-z-2=0 as N1⇀ and N2⇀ respectively.…

Q: Find the acute angle between the planes 3x + y +z =0 and x- 2y +z = 3 0 =52.75 B 0=25 .C e =0.25 .D…

A: We will use direct formula and find the required angle. The detailed solution is as follows below:

Q: Q6/ find the acute angles between the planes to the nearest hundvedthad Vadian 4y+32 =-12, 3X…

A:

Q: y = x2, x = 5, y = 0; about the y-axis 25 %3D V =

A:

Q: 6. trapezoid DEFG with vertices D(0,-3), E(1, 3), F(3, 3), and G(4,-3) in the y-axis ty O X D' =_ E'…

A:

Q: H.w.2 Find equations for the line parpendi cular to the triangle (PR) and through the point (PJ if…

A: Given information:- Find equations for the line perpendicular to the triangle (PQR) and through the…

Q: i = 1 , where r is square with vertices at z=0 , 1+i , cs (z) dz 1+i 0 10 i0

A: Option (c) 1 is correct.

Q: Find the point on the plane x – 3 y – 2 z = 14 that is closest to the point (0, 3, 3) .

A: We have the plane x-3y-2z=14 The normal vector to a plane ax+by+cz=d is a,b,c Hence, the normal…

Q: 5) Make three points P, Q, and R not collinear, and (s - 2) PQ + (2s + t) QR + (s + t+ Find 3s - t.

A: