Homework Help is Here – Start Your Trial Now!
Math
Calculus
2. Find the integrals, indefinite or definite: 1 √ (2²-½ + 2√2 (a) +2√x) dx

2. Find the integrals, indefinite or definite: 1 √ (2²-½ + 2√2 (a) +2√x) dx

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

Explain this answer to 2a?

3x1/2 -5x² - 10X 2-X (a) y = 3√x - 5x² 3x (d) y = xe³ - ln(x² + 1) (b) y = 2. Find the integrals, indefinite or definite: (a) [(x² - 1/1 - X + + 2√x) dx 2x+5 x - 7 (c) y = tan² (7x) 3 3 (e) 4x³+y³ = 9y (in terms of x and y) (b) √ 13z-2 е (a) f( (x − 2)(x − 1) dx - e³x-2 dx (e) 1/4 (c) I √ √ 3. A wire 100 cm long is bent into the shape of a rectangle. A child squeezes the top and bottom so that the rectangle be- comes wider and shorter while its perimeter remains 100 cm. How fast is the area of the rectangle decreasing when the height is 20 cm and decreasing at 4 cm/sec? Include the units. sin (2πx) dx +1 1 /1-x² 5. A poster is to be made with a 1-inch margin on each of the left and right sides and a 1.5-inch margin on the top and bottom. The printed area, within the margins, must be 216 square inches. Find the dimensions of the poster of smallest total area (including the ↓ 个 dx 4. A radioactive element decays to 80% of its original amount after 2 days. What is the ha of this element? (An exact answer is preferred but not required.) 1' 个 1.5' 216 sq in
Transcribed Image Text:3x1/2 -5x² - 10X 2-X (a) y = 3√x - 5x² 3x (d) y = xe³ - ln(x² + 1) (b) y = 2. Find the integrals, indefinite or definite: (a) [(x² - 1/1 - X + + 2√x) dx 2x+5 x - 7 (c) y = tan² (7x) 3 3 (e) 4x³+y³ = 9y (in terms of x and y) (b) √ 13z-2 е (a) f( (x − 2)(x − 1) dx - e³x-2 dx (e) 1/4 (c) I √ √ 3. A wire 100 cm long is bent into the shape of a rectangle. A child squeezes the top and bottom so that the rectangle be- comes wider and shorter while its perimeter remains 100 cm. How fast is the area of the rectangle decreasing when the height is 20 cm and decreasing at 4 cm/sec? Include the units. sin (2πx) dx +1 1 /1-x² 5. A poster is to be made with a 1-inch margin on each of the left and right sides and a 1.5-inch margin on the top and bottom. The printed area, within the margins, must be 216 square inches. Find the dimensions of the poster of smallest total area (including the ↓ 个 dx 4. A radioactive element decays to 80% of its original amount after 2 days. What is the ha of this element? (An exact answer is preferred but not required.) 1' 个 1.5' 216 sq in
3x1/2 -5x² - 10X 2-X (a) y = 3√x - 5x² 3x (d) y = xe³ - ln(x² + 1) (b) y = 2. Find the integrals, indefinite or definite: (a) [(x² - 1/1 - X + + 2√x) dx 2x+5 x - 7 (c) y = tan² (7x) 3 3 (e) 4x³+y³ = 9y (in terms of x and y) (b) √ 13z-2 е (a) f( (x − 2)(x − 1) dx - e³x-2 dx (e) 1/4 (c) I √ √ 3. A wire 100 cm long is bent into the shape of a rectangle. A child squeezes the top and bottom so that the rectangle be- comes wider and shorter while its perimeter remains 100 cm. How fast is the area of the rectangle decreasing when the height is 20 cm and decreasing at 4 cm/sec? Include the units. sin (2πx) dx +1 1 /1-x² 5. A poster is to be made with a 1-inch margin on each of the left and right sides and a 1.5-inch margin on the top and bottom. The printed area, within the margins, must be 216 square inches. Find the dimensions of the poster of smallest total area (including the ↓ 个 dx 4. A radioactive element decays to 80% of its original amount after 2 days. What is the ha of this element? (An exact answer is preferred but not required.) 1' 个 1.5' 216 sq in
Transcribed Image Text:3x1/2 -5x² - 10X 2-X (a) y = 3√x - 5x² 3x (d) y = xe³ - ln(x² + 1) (b) y = 2. Find the integrals, indefinite or definite: (a) [(x² - 1/1 - X + + 2√x) dx 2x+5 x - 7 (c) y = tan² (7x) 3 3 (e) 4x³+y³ = 9y (in terms of x and y) (b) √ 13z-2 е (a) f( (x − 2)(x − 1) dx - e³x-2 dx (e) 1/4 (c) I √ √ 3. A wire 100 cm long is bent into the shape of a rectangle. A child squeezes the top and bottom so that the rectangle be- comes wider and shorter while its perimeter remains 100 cm. How fast is the area of the rectangle decreasing when the height is 20 cm and decreasing at 4 cm/sec? Include the units. sin (2πx) dx +1 1 /1-x² 5. A poster is to be made with a 1-inch margin on each of the left and right sides and a 1.5-inch margin on the top and bottom. The printed area, within the margins, must be 216 square inches. Find the dimensions of the poster of smallest total area (including the ↓ 个 dx 4. A radioactive element decays to 80% of its original amount after 2 days. What is the ha of this element? (An exact answer is preferred but not required.) 1' 个 1.5' 216 sq in
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS