Find the area between the curve and the x axis from [-1,5] . f(x)=5x2-3x+4 .Use the...

Find the area between the curve and the x axis from [-1,5] . f(x)=5x²-3x+4 .Use the Fundamental Theorem of Calculus.

Find the Area using Right Hand Riemann Sums with n=10

Explain the difference between the two methods. Which of the two methods is more accurate? How can you make the less accurate way more accurate without changing the process?

Expert Solution

milcah answered 2 years ago

Determine the area between the curve f(x)= |2x-3|, the x axis and the lines x=0 and...

Determine the area between the curve f(x)= |2x-3|, the x axis and the lines x=0 and x=3 a. 4.5 b. 2.25 c. 6 d. 3

Find the area enclosed between the x-axis and the curve y=x(x-1)(x+2)

f(x) = −x2 + 3x and g(x) = x − 3 Find the area of the...

f(x) = −x2 + 3x and g(x) = x − 3 Find the area of the region completely enclosed by the graphs of the given functions f and g in square units.

Find the area between the curve and the x-axis over the indicated interval. y = 100...

Find the area between the curve and the x-axis over the indicated interval. y = 100 − x2; [−10,10] The area under the curve is ___ (Simplify your answer.)

area between curves 1. Find the area between x=1 and x=3 for: f(x) = x+4 and...

area between curves 1. Find the area between x=1 and x=3 for: f(x) = x+4 and g(x)=1 2. Find the area between x =-1 and x=1 for: f(x) = 2-x^2 and g(x) =3 3. find the area between: f(x) = x^2 and g(x) = 2x+3 4. find the area between: f(x) = 4-x^2 and g(x) =3x

If the infinite curve y = e−3x, x ≥ 0, is rotated about the x-axis, find...

If the infinite curve y = e−3x, x ≥ 0, is rotated about the x-axis, find the area of the resulting surface. (answer needs to be in fraction form if possible)

Let f(x) = 3x-2sqrt(x) (a) Find the equation of the secant line through the (4, f(4))...

Let f(x) = 3x-2sqrt(x) (a) Find the equation of the secant line through the (4, f(4)) and (9, f(9)) (b) Show that there is only one number c in the interval (4,9) that satisfies the conclusion of the Mean-Value Theorem for the secant line in part (a). (c) Find the equation of the tangent line to the graph of f at the point (c, f(c)) (d) Use a graphing utility to graph the secant line in part (a), and the...

Estimate the area between the graph of f(x) = x3 − 12x and the x-axis over...

Estimate the area between the graph of f(x) = x3 − 12x and the x-axis over the interval [−2, 1] using n = 6 rectangles and right endpoints. Draw thecorresponding rectangles as well.

1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x...

1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x at the point (1, 3). 1b. Suppose the following function is defined implicitly by the equation, Find dy/dx x^2 − 3y^2 + 6e^x = 4x^2y + 5 2. Using only the definition of derivative as a limit, calculate f(x) where f(x) = 1/x − 5 3. One thousand dollars is invested at a rate of 3% a) How much money will be in the...

I want to to calculate the area between the x-axis and the function f(x) = sin(x)...

I want to to calculate the area between the x-axis and the function f(x) = sin(x) on the interval [0, pi]. The area we seek is enclosed in a rectangle bounded by the curves. x = 0, x = pi, y = 0, y = 1. Since we know the area of the rectangle is pi, we can generate random points inside the rectangle and keep track of how many of those points lie below the curve y = sin(x)....

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