Consider the curve defined by the proportionality ▲ ● Y Y r = x I - Assume r is positive. Rewrite the equation and identify the type of curve (assume x, y have their usual meaning as coordinates). Explain how you could quickly sketch the curve. Hint: Once you know what type of curve it is, find the x-intercepts.

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 25. VE, y…

A: Equation of the tangent line is (y-y1) = m (x-x1) , where m = slope of the tangent, x1 and y1 points…

Q: Given the x²-xy +y² = 9 %3D Curve Write general expression for the Slope curve.

A: The given equation of curve is x2-xy+y2=9. Differentiate both sides of the above equation with…

Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

A:

Q: he table gives a set of readings obtained when a mass (x) in grams, is hung from a spring, causing…

A: Let the equation of straight line is y=a+bx             (1) From the given data we have x(mass)…

Q: Explain why the slope of the line θ = π/2 is undefined.

A: Given θ = π2Slope of the line is given by = tanθThen, slope = tanθ = tanπ2slope = tanθ  = ∞…

Q: 12) through: (-3, –5), parallel to y = 4

A: The line passes through (-3,-5) and parallel to y=4