Graph the parabola. y=x²+10x+27 Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button. -12 -10 -8. 12- 10+ 26- 4- 2- -6- 48- -10- 3

Q: b. use the definition the derivative of derivative of the f(x) = 5-4x + 3x² to find

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A: Explained below

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A: Area of a region bounded by two curves is given by Area=∬dydx see below the answer and calculation

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A: Topic = Functions

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A: See this solution in below.

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Q: 100 [ k 7k+9 k

A: We  apply here root test

Q: QUESTION 15 Interpret the divergence of F(X,Y,Z) = (x2y.yz², zx²) at a point (1.-5,1).

A: The given vector is:F(x,y,z)→=x2y, yz2, zx2

Q: Find the slope of the curve at the given point. 8y +7x5=5y + 10x at (1,1) The slope of the curve 8y…

A: I am attaching image so that you understand each and every step.

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A: Solve

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A: Using mean value theorem f'c=fb-fab-a Where, a=1,b=2 f'x=3x2-1 f'c=3c2-1 f2=23-2-1=5 f1=13-1-2=-2

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Q: QUESTION A10 (5 The equation of a straight line given y = bx + a, where b is equal to +5. What can…

A: y=bx+a where b = 5   y = 5x + a   here b = 5  is slope of the line.

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A: Given data, fx=40x5ex