Q3/A) A point moves a long a straight line UX so thất IS point O at time (t) sec. is given by the formula : X= t'-6t +9t Find: 1. At what times and what positions the point will have zero velocity? 2. Its acceleration at these times? 3. Its velocity when its acceleration is zero? (10 N

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: (a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2;…

A: We will find the required.

Q: Find all values of x at which the tangent line to the curve 2.x + 13 is perpendicular to the line y…

A:

Q: The acceleration of a moving particle at any time t is given by expression 6t – 24. Find the…

A: given acceleration a(t)=6t-24

Q: 3.) Given y=5* (2, 1)? which of the following shows the equation of the line tangent to y at the…

A: To find the equation of the tangent line to the curve   at the point .

Q: 4. A stone is thrown vertically upward with an initial velocity, and its height above the ground is…

A:

Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

A:

Q: A particle moves according to the law of motion s(t) = t3 - 7t2 + 5t, t≥ 0, where t is measured in…

A: Given that a particle moves according to the law of motion                     s(t)=t3-7t2+5t, t≥0.…

Q: Using Newton's Method, the extremum of the function 3 y =x - 4r -6 is:

A: To find the extremum of the function we need to find the critical values by solving y'=0.…

Q: Suppose that a particle moves according to the law of motion st² 12t+24, (A) Find the velocity at…

A: Since multiple subparts are asked, I am answering the first 3 subparts.

Q: b) Solve the following D.E to find y as a function of x: -3y=1-x²..

A:

Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

Q: Assume that the function y is defined implicitly as a function of x by the given equation. Use the…

A: Simply take the derivative of the given equation and simplify.

Q: 2. The position function of a particle is given by s(t) = (t – 1)²(t – 3) , where t is measured is…

A:

Q: Use the identity 33 = 27 and linear approximation to estimate the value of (2.9). This estimate is…

A: Here we have to find the value of (2.9)³ using linear approximation. For that we use the identity…

Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units