Homework Answers
3. Find the sum of the areas of approximating rectangles for the area under f(x) =...
3. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x?, between x = 1 and x = 5 using 4 subintervals and the right endpoints of each subinterval for sample points.
3. Find the sum of the areas of approximating rectangles for the area under f(x) =...
3. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x?, between x = 1 and x = 5 using 4 subintervals and the right endpoints of each subinterval for sample points. 31
1. If the velocity of a particle is given by v(t) = 4 + 4 and...
1. If the velocity of a particle is given by v(t) = 4 + 4 and s(1) = 2, find the particular position function s(t).
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.
(1 point) In this problem you will calculate the area between f(x) = x2 and the...
(1 point) In this problem you will calculate the area between f(x) = x2 and the x-axis over the interval [3,12] using a limit of right-endpoint Riemann sums: Area = lim ( f(xxAx bir (3 forwar). Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the rectangles in the Riemann sum. a. We start by subdividing [3, 12) into n equal width subintervals [x0, x1], [x1, x2),..., [Xn-1,...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
Please answer with work Graph the function f(x) over the given interval. Partition the interval into...
Please answer with work
Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to 4 your sketch the rectangles associated with the Riemann sum f(ck) Axk, using the indicated point in the kth k=1 subinterval for ck. Then approximate the area using these rectangles. 20) f(x) = cos x + 4, [0, 2TT), right-hand endpoint a) Graph: 2 7 22 b) What is the right Riemann sum from 0 to...
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t...
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed-
Find the position vector for...
Help please !!! answer all questions. thank u so much~! 1 Estimate the area under the...
Help please !!! answer all questions. thank u so much~!
1 Estimate the area under the graph of f(x) rectangles and right endpoints. over the interval [0, 4] using five approximating x +4 Rn = Repeat the approximation using left endpoints. Ln= Report answers accurate to 4 places. Remember not to round too early in your calculations. Using Left Endpoint approximation, complete the following problems. Approximate the area under the curve f(x) = – 0.4x2 + 22 between x =...
The velocity of an object moving along a line is given by v - 2 +...
The velocity of an object moving along a line is given by v - 2 + 1 us on the interval OSL$4. a. DMde the interval [0, 41 into subintervals. [0.11.[1, 21. 12. and [3, 4]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the midooint of the subinterval and use these approximations to estimate the displacement of the object on [0, 4). (Sen part (a) of the figura)...
3. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x?, between x = 1 and x = 5 using 4 subintervals and the right endpoints of each subinterval for sample points.
3. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x?, between x = 1 and x = 5 using 4 subintervals and the right endpoints of each subinterval for sample points. 31
1. If the velocity of a particle is given by v(t) = 4 + 4 and s(1) = 2, find the particular position function s(t).
(1 point) In this problem you will calculate the area between f(x) = x2 and the x-axis over the interval [3,12] using a limit of right-endpoint Riemann sums: Area = lim ( f(xxAx bir (3 forwar). Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the rectangles in the Riemann sum. a. We start by subdividing [3, 12) into n equal width subintervals [x0, x1], [x1, x2),..., [Xn-1,...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
Please answer with work
Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to 4 your sketch the rectangles associated with the Riemann sum f(ck) Axk, using the indicated point in the kth k=1 subinterval for ck. Then approximate the area using these rectangles. 20) f(x) = cos x + 4, [0, 2TT), right-hand endpoint a) Graph: 2 7 22 b) What is the right Riemann sum from 0 to...
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed-
Find the position vector for...
Help please !!! answer all questions. thank u so much~!
1 Estimate the area under the graph of f(x) rectangles and right endpoints. over the interval [0, 4] using five approximating x +4 Rn = Repeat the approximation using left endpoints. Ln= Report answers accurate to 4 places. Remember not to round too early in your calculations. Using Left Endpoint approximation, complete the following problems. Approximate the area under the curve f(x) = – 0.4x2 + 22 between x =...
The velocity of an object moving along a line is given by v - 2 + 1 us on the interval OSL$4. a. DMde the interval [0, 41 into subintervals. [0.11.[1, 21. 12. and [3, 4]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the midooint of the subinterval and use these approximations to estimate the displacement of the object on [0, 4). (Sen part (a) of the figura)...
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