Change from rectangular to spherical coordinates. (a) (2,2,0) (p, 0, 4) = (b) (9, -3√3, 6) (p, 0, 4) = √8,45°,90° (₂) (C 12, 150°, 60° 1x)

Q: The Coordinates of a triangle ABC are A(0,0), B(a, a) and C (-b, b). Work out the equation of the…

A: Solving the problem

Q: Prove that there exists at least one solution to the equation 4x+ 3x +1 = 4x2.

A:

Q: Write the following equation in standard form by completing the square. x2 +9y2 + 10x - 18y+ 25 = 0…

A: Important formula:-

Q: Convert the point 4, (a) (√6, √6,2) (b) (√6,-√6,2) (c)(-√6, √6,2) (d) (-√6,-√6,2) π π R3 from…

A: The given spherical coordinate point .We have to convert this point into rectangular coordinate.

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A: The given rectangular coordinate point 5, -53, 103. We have to convert this point into spherical…

Q: (-1₁x) (+1 +2 (90) 2) Rotate figure ABCD 90° counterclockwise about the point P (-1, -2). State the…

A: We need to rotate the given ABCD in 90 degree clock wise about the point P (-1,-2).

Q: 1. Find the cosine value of the angle of the two planes ( 71 : 2x– y+ z+2= 0, x2 : x +2y+ z-5=0)

A: Given two planes,  π1 : 2x - y + z = -2 π2 : x + 2y + z = 5 To find the cosine value of the angle of…

Q: #4. (a) Let fiz) = Log (z +1) ~ Log (2-1), Find flz), f(-2), f(i). (b) let g(z) = ziti, find g(i).

A: 4.(a) f(z) = Log(z + 1) - Log(z - 1)         => f(2) = Log(2 + 1) - Log(2 - 1)…

Q: Where could he plot the third point so the hypotenuse of the triangle has a length of 15 O (7, 4) о…

A: The marked points are (-5,7) and (7,7) and the length of the side joining these two points is 12. If…

Q: Give the rectangular coordinates for the point. (-10, 225°)

A:

Q: a?b³ xa³b* (a³b³)2 (x²y)ª x3+ay-1 xªy2a x2a-1 (ab²)¯® x(a³b?)² (a°b2)-

A: We can answer all the three question with proper steps.