Exercise 2.- Calculate the area between the curves and make the corresponding graph: f(x) = x²+3x+3 g(x) = x²+4x-2 between the limits x=0.2 x=3

Q: The position function for a falling object is given by s(t)=−16t^2+v0t+s0, where s(t) is the height…

A: Given: The position function of the problem is with vo= 45 and so=0 And the function is  s(t) =…

Q: For f(x)=3x2 +4x+5on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height…

A: The area of the function fx on the interval a,b using midpoints of the n rectangles is given by the…

Q: 5. An internet service provider has modelled its projected number of business subscribers as B(t) =…

A: We have to find the growth rate.

Q: Consider the following. f(x) = -3x-2; a = 2, b = 6 (a) Calculate the total area of the region(s)…

A: Given that f(x)=-3x2; a=2, b=6 The graph of the given function is shown below

Q: Consider the following. f(x) = 11(0.85*); g(x) = 7(0.75*); a = 2; b = 10 (a) Sketch graphs of the…

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Q: Match the graph with the function: f(x) = 4(0.8)* g(x) = 4(0.66)* h(x) = 4(1.54)* j(x) = 4(1.12)*…

A: We have f(x) = 4 0.8xg(x) = 4 0.66xh(x) = 4 1.54xj(x) = 4 1.12xk(x) = 2 1.12x

Q: 1. Estimate the area under the graph of the function f(x)=36-x² between x = 0 and x = 6 using 3 left…

A:

Q: Estimate the area under the graph of  f(x) = 4 + 4x2 from x = −1 to x = 2 using three rectangles and…

A: In this question, we find the area by using the midpoint rule for the given function f(x)=4+4x2 for…

Q: For the function f(x)=1/4-x^2, find the horizontal and vertical asymptotes.

A:

Q: For f(x)=3x2 +4x+5 on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with…

A: