University:
University of Central Florida
Course:
MAC 2312 | Calculus with Analytic Geometry II
Academic year:

2023
Views:

356

Pages:

4
Author:

Maria

Let f(x) 3-1. Calculate the arc length of the f(x) graph over the interval [3, 5]. Enter an exact answer. 5 5 √1+(3) dx = via dx = v10 x 1 = = √10 (5-3) units SVI 3 2 3 3 Q2: Let g(y)=4y-1. Calculate the arc length of the g(y) graph over the interval [2, 5]. Enter an exact answer. 5 S 2 √1+(4)² dy = √17 dy = √17x15=√17 (5-2) 2 5 2 2 = 3√17 units Q3: Let f(z) = 10/2, and calculate the arc length of the graph of f(x) over the interval [0, 2]. Enter an exact answer. 2 2 √ 1 + (15x^2)² dx = √ 1 + 225x dx 2 451 4= 1+225 x du= 225 dx • $225 225 √ 1 + 225x dx = √udu=1 225 a 225 225 [ 225 [21431512] - 215 [2014] units 1 2(1)32 3 24271451 3 Q4: Let f(r) 1 2 +6+ = 6. Calculate the arc length of the f(x) graph over the interval [1, 4]. Enter an exact answer. 4 (x+ 4x4 2x2 =[(-24]-[1-20]: units (4)3 6 6 8 QS. Let f(x) 51. Calculate the arc length of the graph of f(a) over the interval [2, 5]. Enter an exact answer. √ 1 + (52) dx = √26 dx = √26 x 1 = 26 (5-2) 2 12 2 = 3√26 units Q6: Let f(z) = +11+ 6 2 Calculate the arc length of the graph of f(z) over the interval 1.4 Enter an exact answer. 1+ x² 2 2 - 2x2 4 x4+1) 4x4 2 2 2x2 dx = [-]-[-]=1] = 9 87 units Let f(x) = +4+ 6 Calculate the arc length of the graph of f(z) over the interval (2, 4) Enter an exact answer. +22) dx 2x (x+1)2 4x4 2 3 4 2 = (4)3 6 - - 2x [-] 2(2) - 227 units 24 Let f(x)=2z/ Calculate the arc length of the graph of f(x) over the interval (0,3). Q8: Enter an exact answer. 3 √1+9x 1+(3x2)² dx u= 1 + 9x du 9 dx 3 S 9√1+9xdx= Ju du= 3, 1.2412 28 [28212-1] Q9: Let g(y)= 1 4 8 Calculate the art length of the graph of g(y) over the interval [2, 3]. Enter an exact answer. 2 34 T + 24 dy 4(3)) - (24-425) = 1175 units.