In Exercises 15-22, find dy/dx. (You can support your answer graphically.) 15. (x3+x+1)(x4 + x² + 1) 16. (x² + 1)(x³ + 1) 2x + 5 17. y 19. y 21. y = 3x-2 (x1)(x²+x+1) 1 - x² 1-3 x²+5x1 18. y = x² 20. y = (1-x)(1 + x²)−1 (x + 1)(x+2) 22. y = (x-1)(x-2)

Q: If x* +y* = 1, find an expression for By dx 3x2 (a) 2 x4 (b) – (c) (d) 2 x2 (e)

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Q: Use calculus to show that the closest point on the graph of 2 2 + y² = 5² to point (6, 8) is point…

A: By using calculus to show that the closest point on the graph of  x2+y2=52 to point 6, 8 is point 3,…

Q: Differentiate ибілен product pale

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Q: Write an equation for the quadratic graphed below x-intercepts: (-3,0) and (1,0). y-intercept: (0,1)…

A: Let the equation of the curve is  y = ax2 + bx + c ..... (1) The points through curve passes (-3,…

Q: Graph of the function f(x) = x+a/ x^2 + bx +4 is shown below. What are a and b?

A: Answer

Q: A young boy shoots a rocket off of a table and the height of the rocket in meters is given by h(t) =…

A: Here we have to find the time and height.

Q: Graph the function f(x)=(x+2)^2-5. Start by graphing y=x^2

A: the base graph is  now to graph the function we need a few points so make a table values x -2…

Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by…

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Q: 2- (4x+3y)= -4 (y+1) Is this a function? Explain.

A: Yes, given expression is a function.    Given,    2- (4x+3y)= -4 (y+1) 2 - 4x - 3y = -4y -4 Adding…

Q: A linear function y = f(x) has an x-intercept of -9 and a y-intercept of 2. The function undergoes…

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Q: Find the points of intersection of the graphs of the equations. x2 + y = 17 -2x + y = 14 (x, y)…

A: Given  x2 + y = 17     (i) -2x + y  = 14 ⇒ y = 14+2x       (ii) Putting the value of y in equation…

Q: f(x)=2(x+3)^(2)-6 write in standard form.

A: We know that the standard equation of the polynomial is f(x)=ax^2+bx+c