Draw the slope field (direction field) for the following DE: y'=y-t

Q: Find the slope of y = ex at x = 0.

A: Given query is to find the slope.

Q: Calculate y" and y'. y = 0²(20 + 4) y" = y" : II

A: Given function is : y = Ѳ2( 2Ѳ + 4)

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: Find the slope of the tangent line for: y = 2x? – 4x

A:

Q: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

A:

Q: 3. y=x²-25x² + 2x

A: To find the second order and third order derivatives of given function

Q: For the curve 2² - 4xy² = y³ +9, do the following:

A: