9. One of the fundamental themes of calculus is to find the slope of the tangent line to a curve at a point. To see how this can be done, consider the point (2,4) on the graph of f(x) = x² (see figure). (2,4) 2 (a) Find the slope of the line joining (2, 4) and (3,9). Is the slope of the tangent line at (2, 4) greater than or less than this number?

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A: For finding the zero of a function f(x), replace f(x) with zero and solve the equation.

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Q: 5. use the rational zero test to find all rational zeros of the polynomial. P(x)=x³+4x²+10x + 12

A: By using the rational zero test to find all rational zeros of the polynomial. Px=x3+4x2+10x+12

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A: ∫abf( x )dx = Area under the curve f( x ) from the point a to b ∫08f( t )dt = ?

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A: f(x)=e0.02x2 ;  interval 0,10 ; 5 subintervals

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A: We can find the line integral.

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Q: Find all the possible rational zeros of the following polynomial: f(x) = 3x³ - 20x² +33x-9 O +1, +3,…

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Q: Find the Taylor series for f(x) centered at the given value of a. f(x) = 1/x, 8 = 3 Σ Π = 0

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Q: First find f' and then find f. ƒ"(x) = 3x³ + 3x² – 2x – 3, ƒ'(1) = −3, f(1) = 3.

A: we have given that f''=3x3+3x2-2x-3