We don't have to find any equation or algebra or anything. We have to sketch an approximate graph visually (by finding the area under the curve and etc.). But I'm having a hard time figuring this out.
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Sketching graph of antiderivative F(x) from graph of original function f(x)
Consider the graph of the function g shown below. The domain of g is [0,10], and the graph of g is comprised of two line segments and a quarter circle. 1. The function F is defined on [0,10] . It is an antiderivative of g and satisfies F(7)=0. Sketch a graph of F 2. Use your knowledge of area to compute F(4). Explain your reasoning. 3. Write a formula for F using an appropriate integral of g. 4. The function...
5. Consider the area under the curve f(x)-on the interval [1.4), (a) Sketch the curve and identify the area of interest. (b) Approximate the area using a right-hand Riemann sum with three rectangles. (c) Find the exact area under the curve. We were unable to transcribe this image 5. Consider the area under the curve f(x)-on the interval [1.4), (a) Sketch the curve and identify the area of interest. (b) Approximate the area using a right-hand Riemann sum with three...
3. At the beginning of 8.6, we investigated the graph of f(x) = ? and the graphs of several partial sums of its series 3x". You are now going to investigate the graphs of (-1)**(x - 2)", which is the series representation of the function f(x) = -centered at a = 2 a. Find the radius and interval of convergence (x - 2)". Show all your work. (3 points) b. Find the first five terms of Sn for Ž (-1)**(x-2)",...
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum· illustrate the solution geometrically. C. Divide [04] into n = 4 subintervals and...
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curve is somehow related to anti-derivatives. We wish to Example: Let f(x) -10-2x. Find the area under the curve between x 0 and x graph to help you visualize what is going on. Do you recognize the shape? 5. We include a 2...
Find the exponential function f(x)=a^x whose graph goes through the point (3,1/125). a= I have no idea how to go about finding the equation :S
PLEASE SHOW WORK WITH CLEAR STEPS 11. f (x) 5- x2 Estimate the area under the graph from x1 to x 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles. ее 11. f (x) 5- x2 Estimate the area under the graph from x1 to x 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating...
Questions: 1. What is the area of region A? 2. What is the area of region B? 3.What is the area of region C? 4.What is the total area in the three regions? 5. So, what is the speed v1 of the torso as the head begins to accelerate? KEY IDEA We can calculate the torso speed at any time by finding the area on the torso alt) graph to that time. Calculations We know that the initial torso speed...
solve the following 3. Since g(x)-mx+b In(Cx)), we suspect that f(x)c)Ca. We can rewritefx) C2/ for constants C,k. Then gx) In))-x + In(c). In(2) a. Write out the algebra that brings us frome to C2** (Hint: This only relies or properties of exponents and the fact that ein 2 = 2. So, look at the algebra cheat sheet) b. By comparing the two expresSons for g(x), find k and C. Round to the first decimal place. (Note: ax + b...
Please help!! Thanks 1. Consider the function f(x) e a) Find the length of the curve given by the equation y - f(x), -1 3x<1. b) Let R be the region bounded by the graph of f(x) and the lines 1,1 and y-0. Find the area of R. c) Find the coordinates of the center of mass of R. d) Consider the solid obtained by rotation of R about the r-axis. Find its volume and surface area. 1. Consider the...