5. The position function of a moving object is given by 7(t) = (, et", cos t). Find its velocity and acceleration functions.

Q: Find the equation of the tangent line to the curve y = 2 sin æ at the point (, 1). The equation of…

A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

Q: A particle moves along a linear path and its displacement, relative to the start, is modeled by the…

A: In 2pi/3 seconds. displacement of the particle will be

Q: '] Find the derivative of the function. a) y=c sint+\t cos t b) y = secx+e

A: Tje solution of the problem is given in the next steps .

Q: Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: Calculate y dx (25th derivative) of y = sin.x. It may help to first determine a pattern. Paragraph V…

A: The objective of this question is to find the 25th derivative of the function y = sin(x). To do…

Q: 5. Find the equation of the line (in Cartesian coordinates) tangent to r = 1– sine at the point (5).

A:

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: Let 22 + y? = 45- dy -(6, 3) [The derivative at da the point (6, 3) ].

A: Given,           x2+y2=45