Express the circle specified by x = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the point where 0 = a/3. a. (x – 0)? + (y – 1)? = 2, (1, 1 – V3) O b. (x – 0)? + (y– 1)? = 2,(1, 1 + V3) O c. (x – 0)² + (y – 1)² = 4, (1 + V3, 1) O d. (x – 0)2 + (y – 1)? = 22, (1,1+ v3)

Q: Match each graph with its equation. v F(t) = (cos(t), sin(t), t) ]F(t) = (t, sin(t), 2) F4) – (1, 2,…

A: The first vector function is rt=cos t, sin t, t. The components are x=cos t, y=sin t and z=t. Square…

Q: Find T, N and B for the curve 7 (t) = (4 cos(5t), 4 sin(5t), 5t) at the point t = 0 Give your…

A: Given that, r→t=4 cos 5t,  4 sin5t,  5t  at the point   t=0

Q: Find T, N and B for the curve 7(t) = (4 cos(2t), 4 sin(2t), 2t) at the point t = 0 %3D Give your…

A: given that                                          r→(t)=4cos(2t), 4sin(2t), 2t at t=0…

Q: Convert r = 6(sin(0) + cos(0)) to an equation in rectangular coordinates in terms of x and y.

A:

Q: find the speed at the given value of t. r(t) = (sin 3t, cos 4t, cos 5t), t =

A: Given: rt=sin3t, cos4t, cos5t To find the speed at the given value of t=π2. Solution: Speed is the…

Q: Find T', N and B for the curve r(t) = (2 cos(5t), 2 sin(5t), 4t) at the point t = 0

A:

Q: Graph the curve described by the function, indicating the positive orientation. r(t) = (2 cos t)i +…

A: The given function is- r(t) = (2cos t)i + 3j + (2sin t)k, for 0 ≤ t ≤ 2π

Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

A:

Q: Find T and N for the curve 7(t) = (3 cos(5t), 3 sin(5t), 2t) at the point t = 0 COS Give your…

A:

Q: Find the equation of the tangent plane to the graph of G(u, w) = cos (uw) at the point (2, 1). (Use…

A:

Q: Find a function of the form y= A sin(kx) + C or y= A cos(kx) + C whose graph matches this or -6 5₁…

A: We are asked to find the equation of the graph

Q: A bee flies along a path given by r(t) = . Knowing that the bee started on this path at t = 0…

A: rt=sin2ti^+cos2tj^+5t+1k^ Differentiating w.r.t. 'x' to both sides, we get-…

Q: Express the circle specified by x = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

A:

Q: The curves r₁(t) = (5t, t², t3) and r₂(t) = (sin(t), sin(5t), 4t) intersect at the origin. Find…

A: see my solution below

Q: Express the circle specified by x = 2 cos(0) y = 1+2 sin(0) in Cartesian coordinates and find the…

A: Given: x=2cos θ y=1+2sin θ Now, x2=cos θ and y-12=sin θ Squaring both: x22+y-122=cos2θ+sin2θ…

Q: Generate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please…

A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

Q: Express the circle specified by x = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

A:

Q: Express the circle specified by a = 2 cos(0) y = 1+2 sin(0) in Cartesian coordinates and find the…

A: