The graph of f(x) =2x + 1 is given below. a. Use 4 approximating rectangles with...

The graph of f(x) =2x + 1 is given below.

a. Use 4 approximating rectangles with right hand endpoints to approximate the area under f(x) between x = 0 and x = 2.

b. Use a definite integral to find the exact area over the interval [0. 2].

Expert Solution

milcah answered 2 years ago

Estimate the area under the graph of f(x)=1/(x+4) over the interval [-1,2] using five approximating rectangles...

Estimate the area under the graph of f(x)=1/(x+4) over the interval [-1,2] using five approximating rectangles and right endpoints. Rn= Repeat the approximation using left endpoints. Ln=

Estimate the area under the graph of f(x)=25−x^2 from x=0 to x=5 using 5 approximating rectangles...

Estimate the area under the graph of f(x)=25−x^2 from x=0 to x=5 using 5 approximating rectangles and right endpoints. (B) Repeat part (A) using left endpoints. (C) Repeat part (A) using midpoints.

Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...

Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n=4. f(x)=88x+55 from x=44 to x=66 a. Use left endpoints. b. Use right endpoints. c. Average the answers in parts a and b. d. Use midpoints.

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2...

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2 − 1)2 and f 00(x) = 2(3x 2 + 1) (x 2 − 1)3 . (a) [2 marks] Find the x-intercept and the y-intercept of f, if any. (b) [3 marks] Find the horizontal and vertical asymptotes for the graph of y = f(x). (c) [4 marks] Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any....

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) -...

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) - Determine any symmetry - Find the x- and y-intercepts - Use lim f (x) x→−∞ and lim f (x) x→+∞ to determine the end behavior - Locate any vertical asymptotes - Locate any horizontal asymptotes - Find all intervals where f (x) is increasing and decreasing - Find the open intervals where f (x) is concave up or concave down

the figure shows the graph of f(x) = ex. in the exercise 1 to 4, use...

the figure shows the graph of f(x) = ex. in the exercise 1 to 4, use transformation of this graph to graph each function. be sure to give equation of this the asymptotes. use the graph to determine each function's domain and range. if applicable, use a graphing utility to confirm your graph 1). g(x) = ex-1 2). g(x) = ex+2 3) h(x) = e-x 4) g(x) = 2ex

find the line tangent to graph of f(x) at x=0 1) f(x)=sin(x^2+x) 2)f(x)=e^2x+x+1

For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range. f(x) = 2x − 2

For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range.f(x) = 2x − 2

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3....

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3. Find the value(s) of x where the tangent line is horizontal.

1.Given the function f(x)=1/x, using 3 rectangles of equal width, find an approximation to the area...

1.Given the function f(x)=1/x, using 3 rectangles of equal width, find an approximation to the area between the curve and the x-axis over the interval [4,8] if the heights of the rectangles are found by evaluating the function at the left endpoints, right endpoints, and midpoints of each subinterval created by a partition of the interval given. 2. Given the function, f(x)=−x3+6x2 using 6 rectangles of equal width, find an approximation to the area between the curve and the x-axis...

Question