Using n = 2 equal-width subintervals, approximate the area of the region bounded by the graph of, f(x) = -1/ and the coordinate axes from x=1 to x=3 (the shaded region in the figure 3 below). Use the right endpoint of each subinterval to determine the height of each rectangle in your approximation. 2 0

Q: 0 1 2x (4 – x²) dx

A:

Q: Use the integral convergence or Check all the conditions. 80 10 112 test to or divergence of the

A:

Q: A poster has an area of ​​150 square centimeters with margins of 3 cm on the top and bottom and 2 cm…

A:

Q: Let g(x, y, z) = 0.03x + 0.04y - 0.01z - 0.05. Complete the following sentences. (a) The variable g…

A: Given function

Q: Use a Riemann sum to approximate the area under the graph of f(x)=x on the interval 3≤x≤5 using n =…

A:

Q: Question Find the derivative of f (x) = (−2x² + 2x +4) xª Do not include "f'(x) =" in your answer.…

A:

Q: Jasper Furnishings has $200 million in sales. The company expects that its sales will increase 13%…

A: The simple linear regression provides us with a mathematical relationship between two variables on…

Q: 个 Use the definition of the definite integral to evaluate [(x²-2) dx. [(x²-2) dx = (Type an integer…

A:

Q: Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y =…

A: we need to find out the slope of the function.

Q: Given that ß = 101°, y = 24°, c = 15. Which of the following equations solves for a? a) a = (15 sin…

A: Given that the triangle we have to find choose the correct option

Q: Determine the resulting definite integral after making the following substitution: Se dx where u=lnx…

A:

Q: Find local extrema f(x) = 4 of the function, if any. x6 - 6x² A. There is no local extremum. B. f(0)…

A:

Q: -10-9-8- -1⁰+ Given the graph of f(x) shown above, evaluate lim f(x). Select the correct answer…

A: The condition of the existence of limit at

Q: A cell culture contains 4 thousand cells, and is growing at a rate of r(t) thousand cells per hour.…

A: Substitute t=5 in r(t) and solve, an then add 4 thousand to it.

Q: Find the intervals on which the graph off is concave upward, the intervals on which the graph off is…

A:

Q: Let y = g (a) be the solution to the differential equation dy y with the initial condition g (1.5) =…

A: To approximate g( 0) using Euler's method with three steps:1. Determine the step size: Since there…

Q: Estimate the area under the graph of f(x) = 1+x² from x = -1 to = 2 using six rectangles and right…

A: Given,from x=-1 and x=2

Q: √3x + 16-5 x-3 18. lim- x 3

A: we need to find out the limit.

Q: 2. For f(x)=√14-2x (a). find the domain. Write your answer in interval notation. (b). Graph…

A:

Q: Find the amount of an annuity if $220/month is paid into it for a period of 20 years, earning…

A: Find the amount of an annuity if $ 220 per month is paid into it for a period of 20 years, earning…

Q: Write the following expression in expanded form. +5 log X+7

A:

Q: Use either a graphing calculator or a spreadsheet to complete the table. Express all your answers as…

A: The given function is

Q: hich of the following integration formula is incorrect? O I sin x + I see 2 x² +1 sec² x cot x csc x…

A: The objective of the question is to identify the incorrect integration formula among the given…

Q: Sex. (x+y)ds where C is the straight-line segment x = 3t, y = (3-3t), z = 0 from C (0,3,0) to…

A:

Q: Evaluate the following integral. 2 | (0²-0 -2 (4y -6y+6) dy

A:

Q: Use Newton's Method to find the third approximation -x3, for the root of f(x)= x^3-5x+1. Let x0= -3.

A:

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A:

Q: Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below. a) (gof)(2) b)…

A: To evaluate each of the following expression by using the graphs of  shown below.

Q: Find the following for the vectors v=6i +j and u = 9i + √3j. a. v u, vl. lul b. the cosine of the…

A:

Q: Find the domain of the function. 5x x²-4 X g(x) =

A:

Q: For f(x) = (a) fog 7 x-3 2 =, find the following composite functions and state the domain of each. X…

A:

Q: If the birth rate of a population is b(t) = 2300e0.022t people per year and the death rate is…

A: The given data is:To find the area between these curves for

Q: Find the area under the given curve. y = √√x +6; from x=0 to x = 16

A: Consider the curve

Q: Determine whether the series converges or used. Explain diverges. State the test you you reasons why…

A:

Q: y = ln=+e√x X

A: The given equation

Q: 500 feet of fencing is to be used to enclose a rectangular field.  The field is situated along a…

A: We need to find out the dimensions that will give the largest area.

Q: Considering the definition of f(x) below, find lim f(x). x-*6 Select the correct answer below: O -56…

A:

Q: 6. Find the first term (a,) and the common difference (d) for the arithmetic sequence: S5 = -105, a5…

A:

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -2 to x = 2.…

A:

Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: x=4cos⁡(2t),y=4sin⁡(2t),0≤t≤π

Q: Write the integral as the sum of the integral of an odd function and the integral of an even…

A:

Q: Draw the region whose area is given by the definite integral. | 16-2 (6-2x)dx

A: I=∫03(6−2x)dx

Q: Give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: The given set is the set of points in space whose coordinates satisfy the pair of equations .The aim…

Q: Find the area bounded by curves y = -4 + √x and y = -16 + x 4 (Round your answer to two decimal…

A:

Q: Find the average value of h(x) over the interval [1,7] given that g (z)=-6x + 8. Edit View Insert…

A: Given,

Q: Question 12 Determine the value of x(t) at t = 0 given its Laplace transform. Choose your answers…

A:

Q: Use the Divergence Theorem to evaluate [/F. F. N dS and find the outward flux of F through the…

A: ∫S∫F⋅NdSF(x,y,z)=xi+yj+zkS:x2+y2+z2=25Using the Divergence Theorem∬SF⋅NdS=∭EdivFdV…

Q: the U.S. postal service will accept a box for domestic shipping onl if the sum of its length and…

A: Let b be length of the box and a be the length of the side of the square.The volume V of the box…

Q: Compute the following limit. Select the correct answer below: O-1 Oo 01 8 lim sec(x)

A: ...(1)

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

A: