12 5) a) Find the location of point B on f (x) =x² + 4 to create the 10 minimum distance between B and A = (0,7). b) Find the equation of the tangent to f(x) at point B. c) What is the relationship between the slope of the tangent line with the line segment BA Note: if there is more than one closest point, identify them both for part a but just select one to use for parts B and C. Diagram is for reference and does not indicate the value of B.

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) at the…

A:

Q: A person's body mass index (BMI) is calculated with B (m, h) = m/ h2, where m is the mass of the…

A:

Q: The slope of the tangent line to the parabola y = 2x² + 7x + 7 at the point (4, 67) is: The equation…

A:

Q: Sketch 9x2 + 25y2 = 5625 and the line segments connecting (20, 0) and (-20, 0) to (15, 12)

A:

Q: Sketch the curve f(x, y) = c together with Vƒ and the tangent line at the given point. Then write an…

A: Curve sketch for 2x2 -y = 13 Curve sketch for  3xy = -54

Q: Find the y-intercept of the tangent line to the curve y =x at the point (2,8).

A: We have given, The curve y = x3 and the point (2, 8).

Q: A curve is generated by the equation x² + 4y² = 16. Determine 2. whose corresponding tangent lines…

A: Given data:- The given equation of curve is, x2+4y2=16 Curve corresponding tangent line are…