The position of an object at time t is given by the 2t2 + 4t { parametric equations 2t2 + 1 Find the horizontal velocity, the vertical velocity, and the speed at the moment where t units in this problem. 4. Do not worry about Horizontal Velocity = Vertical Velocity = Enter a mathematical expression [more..] Speed =

Q: The unit vector of the PQ (of point P(-3, 4, 1) and terminal point Q(-5, 2, 2)). - The angle between…

A: here we have

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

A:

Q: Convert into rectangular coordinates. (2,-) 3

A:

Q: The midpoint between the points (6, -7, -2) and(-2, 1, 4) is

A: The solution of the problem is given in the next step.

Q: Does the equation y=5csc(2x+6pi)- 6 include a vertical shift? Horizontal shift?

A: Given equation,  y = 5cosec(2x + 6π) - 6 Does it include horizontal shift and vertical shift?

Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: 4. Convert the equation (x = 10 + 5t : 10 - 2t = to scalar form.

A: Given the problem that the parametric equation is x=10+5ty=10−2tthe aim is to write the equation in…

Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

A:

Q: Find the velocity of Zoe relative to the surface of the water.

A: The velocity of Zoe Vz is 3 km/hr to west. Velocity of the current Vc is 15km/hr to north. So, the…

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A: Hint: A vector v→ is perpendicular to both a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ if v→=a→×b→…

Q: ン Plot the point whose polar coordinates are 4, 5+ 4 2 -5 -4 -3 -2 -1 4 5 -1 -2 -3 3.

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.