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(a) Evaluate (i) Setyo dt, (ii) [(9/2) and (iii) (-7/2). (b) In a recent paper the...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, a...
Please show all steps. Thank you, need to verify what I'm doing
wrong.
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, and in the first octant (z, y, z 0)、z, y and z are measured in meters and the density over B is given by the function p(z, y, z)-(12 + y2 + ?)-1 kg/m3 (a) Set up and write the triple integral that gives the mass...
(2) Apply Cauchy's Integration to EVALUATE the following INTEGRAL: 27 1 dt. 0 3 – sin(t)
(2) Apply Cauchy's Integration to EVALUATE the following INTEGRAL: 27 1 dt. 0 3 – sin(t)
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2)...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
Assignment 7: Problem 9 Previous Next Problem List (1 point) Sketch the region of integration and evaluate by chan...
Assignment 7: Problem 9 Previous Next Problem List (1 point) Sketch the region of integration and evaluate by changing to polar coordinates: 12 rf) 1 y dx V +y J6 For f(x) = V12x- Answer: 6sgrt3-2p Submit Answers Preview My Answers You have attempted this problem 3 times. Your overall recorded score is 0%6. You have 2 attempts remaining. Email Instructor Assignment 6: Problem 9 Problem List Next Previous (1 point) Set up a double integral in rectangular coordinates for...
Evaluate the integral. 2 1 t3 t2 − 1 dt √2 Part 1 of 7...
Evaluate the integral.
2
1
t3
t2 − 1
dt
√2
Part 1 of 7
Since
2
1
t3
t2 − 1
dt
√2
contains the expression
t2 − 1,
we will make the substitution
t = sec θ.
With this, we getdt =
$$sec(θ)tan(θ)
dθ.
Part 2 of 7
Using
t = sec θ,
we can also say that
t2 − 1
=
sec2θ − 21
1
=
tan
θ.
Part 3 of 7
Using
t =...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral...
Please Answer the Following Questions (SHOW ALL WORK)
1.
2.
3.
4.
Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
Write the program in Python! We want to evaluate the integral integral_0^1 e^-t^2 dt. Write a...
Write the program in Python!
We want to evaluate the integral integral_0^1 e^-t^2 dt. Write a Python (or C, etc.) function that computes the integral above using the composite Simpson method with N subintervals of [0, 1]: here N is the input parameter. We assume N lessthanorequalto 200. Run this program and print the output when N = 10, 50, 100. Use the error formula of the composite Simpson method to find an upper bound on the error for this...
Q1. DELTA FUNCTIONS! a) Calculate the following integrals, assuming c=2 in all parts! In part iv,...
Q1. DELTA FUNCTIONS! a) Calculate the following integrals, assuming c=2 in all parts! In part iv, assume the volume V is a sphere of radius 1 centered on the origin, and the constant vector ro = (0,3,4) c 8(x-c)dx (Hint: watch out for limits of integration. Remember, c=2 throughout) 8(x-c)dx iii) Sºx-cl 8(2x)dx (Hint: see Griffiths Example 1.15) iv) SS ir-r, 8(r)dr v) M F-F, P 8°(27)di (Hint: 8' () = 8(x)O(y)8(z)) b) Evaluate the integral ſ (1+e") ( )dt...
Help on number 2 A-C Math 166 Spring 2020 Lab 12 - Integration Strategies and Improper...
Help on number 2 A-C
Math 166 Spring 2020 Lab 12 - Integration Strategies and Improper Integrals 1. Evaluate the following integrals. (a) | In(x2 + 2a) dx 100 dx (8) Jo Je to (1) ["* sin(a) Vsee(2) de 5 1 11 x² – 2x – 3 dx 87/2 13 x(lnx)2 de (c) / tarda (1) [4x*e*** de 2. For what values of p do the following improper integrals converge? (1/2 da (0) Le 2 In () Jo 3. Give...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
Please show all steps. Thank you, need to verify what I'm doing
wrong.
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, and in the first octant (z, y, z 0)、z, y and z are measured in meters and the density over B is given by the function p(z, y, z)-(12 + y2 + ?)-1 kg/m3 (a) Set up and write the triple integral that gives the mass...
(2) Apply Cauchy's Integration to EVALUATE the following INTEGRAL: 27 1 dt. 0 3 – sin(t)
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
Assignment 7: Problem 9 Previous Next Problem List (1 point) Sketch the region of integration and evaluate by changing to polar coordinates: 12 rf) 1 y dx V +y J6 For f(x) = V12x- Answer: 6sgrt3-2p Submit Answers Preview My Answers You have attempted this problem 3 times. Your overall recorded score is 0%6. You have 2 attempts remaining. Email Instructor Assignment 6: Problem 9 Problem List Next Previous (1 point) Set up a double integral in rectangular coordinates for...
Evaluate the integral.
2
1
t3
t2 − 1
dt
√2
Part 1 of 7
Since
2
1
t3
t2 − 1
dt
√2
contains the expression
t2 − 1,
we will make the substitution
t = sec θ.
With this, we getdt =
$$sec(θ)tan(θ)
dθ.
Part 2 of 7
Using
t = sec θ,
we can also say that
t2 − 1
=
sec2θ − 21
1
=
tan
θ.
Part 3 of 7
Using
t =...
Please Answer the Following Questions (SHOW ALL WORK)
1.
2.
3.
4.
Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
Write the program in Python!
We want to evaluate the integral integral_0^1 e^-t^2 dt. Write a Python (or C, etc.) function that computes the integral above using the composite Simpson method with N subintervals of [0, 1]: here N is the input parameter. We assume N lessthanorequalto 200. Run this program and print the output when N = 10, 50, 100. Use the error formula of the composite Simpson method to find an upper bound on the error for this...
Q1. DELTA FUNCTIONS! a) Calculate the following integrals, assuming c=2 in all parts! In part iv, assume the volume V is a sphere of radius 1 centered on the origin, and the constant vector ro = (0,3,4) c 8(x-c)dx (Hint: watch out for limits of integration. Remember, c=2 throughout) 8(x-c)dx iii) Sºx-cl 8(2x)dx (Hint: see Griffiths Example 1.15) iv) SS ir-r, 8(r)dr v) M F-F, P 8°(27)di (Hint: 8' () = 8(x)O(y)8(z)) b) Evaluate the integral ſ (1+e") ( )dt...
Help on number 2 A-C
Math 166 Spring 2020 Lab 12 - Integration Strategies and Improper Integrals 1. Evaluate the following integrals. (a) | In(x2 + 2a) dx 100 dx (8) Jo Je to (1) ["* sin(a) Vsee(2) de 5 1 11 x² – 2x – 3 dx 87/2 13 x(lnx)2 de (c) / tarda (1) [4x*e*** de 2. For what values of p do the following improper integrals converge? (1/2 da (0) Le 2 In () Jo 3. Give...
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