When using Reimann sums, which approximation is the most accurate: left, right, or midpoint?
When using Reimann sums, which approximation is the most accurate: left, right, or midpoint?
Expert Answer
Want to see the step-by-step answer?
Related Calculus Q&A
Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...
A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...
Q: Find the position and velocity of an object moving along a straight line with the given acceleratio...
A: Obtain the velocity as follows.
Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second square...
A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)
Q: Help with #9
A: For a given curve r(t), the tangential component aT and the normal component aN are given by express...
Q: a. Write the equation of the line that represents the linear approximation to the following function...
A: We have to find f'(x) first.
Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...
A: Obtain the value of the integral as follows.
Q: The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-...
A: Given information:The DeWitt Company has found that the rate of change of its average cost for produ...
Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...
A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height
Q: lim x→5 f(x) where f(x)= { 7x-10 if x<5; 25 if x>=5
A: To find the limit x->5 f(x), we have to find the right and left limit of x=5 first.
Q: Find a formula for the general term an (not the partial sum) of the infinite series (starting with a...
A: Given infinite series is,
Q: Use the Divergence Theorem to compute the net outward flux of the vector field F=<x2 , -y2, z2>...
A: The vector field is given as
Q: what are the steps to solving |x-4| > 9
A: We have to solve the inequality.Inequality is given below:
Q: A circle has an initial radius of 50 ft. when the radius begins decreasing at the rate of 3 ft/min. ...
A: Area of a circle is given byDifferentiating the function of area with respect to time:
Q: graph quadratic function f(x) = -3x2- 12x -1
A: Consider the given equation
Q: Please help me solve this differential equation and identify P(x), Q(x) and v(x).
A: First we rearrange the equation and find P(x) and Q(x)
Q: Find the relative maxima, relative minima, horizontal points of inflection, and sketch the graph for...
A: The given function is,
Q: Find the area of the region that lies inside both curves. r = 9 + cos(θ), r = 9 − cos(θ)
A: To calculate the area of the given region (by integration) described by polar coordinates
Q: Suppose you are standing in a field near a straight section of railroad tracks just as the locomotiv...
A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A ...
Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=...
A: It is given that rate at which the blood pressure decreases in the normal adult is dp/dt=–46.645e–0....
Q: Determine whether the following statements are true and give an explanation or counterexample.
A: Given information:
Q: I need help about solving this problem. a) How do I find the time required to reach the maximum amou...
A: Let F be the amount of fertilizer. In 1 minute 1 gallon of solution comes in and 5 gallons of soluti...
Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....
A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.
Q: Consider the function g(x) = |(x^2 - 4)/(x+3)| do the following: a) Give the domain of the function ...
A: a) First obtain the singularity for the given function as follows.The denominator of the given fract...
Q: Which of the following is the power series representation for f(x)? A. Σ ( -1): Ο Β. Σ 11k k 0 k 0 Ο...
A: In the given question we have to find the interval of convergence of power series representation for...
Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.
A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...
Q: I did the test points but not sure how to answer??? It’s positive when less than 3, less than 0 and ...
A: To determine when the motion is in the positive direction and when it is in the negative direction.
Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.
A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent wil...
Q: Differentiate y = (s - sqrt(s) ) / s^2 I don't understand what happens on step 3 of the screenshot...
A: Here use quotient rule of differentiation which is,
Q: Use spherical coordinates to find the volume of the region outside the cone phi= pi/4 and outside th...
A: To calculate the volume by using the spherical coordinates of the region outside the cone φ=π/4 and ...
Q: A port and a radar station are 3 mi apart on a straight shore running east and west. A ship leaves t...
A: Please look at thediagram on white board. I have used the diagram from the question itself and marke...
Q: Determine if y=e2x −x+1 is a solution to y′−2x=−3+2y.
A: The given differential equation is y′−2x=−3+2y.The solution of the deferential equation is given as...
Q: Please solve all parts.
A: You have asked multiple unrelated questions in a single post. Futher your first question has multipl...
Q: how do i get number 3
A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives.
Q: y′=−3x+9 Determine the particular solution to the differential equation that passes through the poin...
A: The given differential equation is y’ = –3x+9.
Q: How can I get the result? Which is the result?
A: a)Analytically complete six rows of a table as below.
Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height i...
A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t
Q: An important question about many functions concerns the existence and location of fixed points. A f...
A: Given functions are f(x) = 17x cos x and f(x)=x. We graph them first and find where do they meet on...
Q: for the function f, given below, find the antiderivative F that satisfies F(1) = 1 The antiderivativ...
A: First, we find the general solution using integration.
Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...
A: The given differential equation is, y′=5ex −6x3 +4x.
Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...
A: we are given a differential equation as
Q: Answers for 10-12
A: We will solve Q-10
Q: 2ex/2 dx = 0 1 (e-1) 1 (e-1) e 1 2(e-) 4(e
A: Given:The integral is
Q: A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) D...
A: We’ll answer the first question since the exact one wasn't specified. Please submit a new question s...
Q: Part d and e
A: (D) When the enclosed region revolve about x=2 line then the radius is on the line joining (2,0) and...
Q: Calculate S3, S, and S5 and then find the sum for the telescoping series 410 n3n1 n +2 n-3 where Sk ...
A: to determine the first few partial sums and the sum to infinity of the given telescoping series
Q: k 5k! x Find the radius of convergence of- (2kk The radius of convergence is Type an exact answer in...
A: We have to find radius of convergence of series.Series is given below:
Q: G(x) = ∫^1vx xt2 dt (1 is the number on top of the integral sign, x on the bottom)
A: Given integral is:Solving the indefinite integral: The antiderivative of a function of the form xn i...
Q: You must get from a point P on the straight shore of a lake to a stranded swimmer who is 60 meters f...
A: Let, "u" be the velocity at which you can swim and "v" be the velocity at which you can run.u = 2 m ...
Q: How to convert percentage to ratio?
A: In this question we have to explain how to convert the percentage in fraction form.
Q: #28 please
A: The given function of hyperbola can be written in terms of y as: Plugging this value in the objectiv...