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2. Find the integrals, indefinite or definite: (a) √(x² − ² + 2√ā) da dx X (d) 4 [₁² (2². (b) √ 30-2, (x-2)(x - 1) dx (e) dx 1/4 1 ©√²-7 sin (2πx) dx dx

2. Find the integrals, indefinite or definite: (a) √(x² − ² + 2√ā) da dx X (d) 4 [₁² (2². (b) √ 30-2, (x-2)(x - 1) dx (e) dx 1/4 1 ©√²-7 sin (2πx) dx 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...
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Answer 2c and explain answer please?

(d) y = xe³ - ln(x² + 1) 2. Find the integrals, indefinite or definite: 1 (a) 2) (2² - 2= + 2√ ) dz X (e) 4x³+y³ = 9y (in terms of x and y) 3 3 (b) (x − 2)(x − 1) dx - - 3x-2 e-2 da (c) da dx / dx 1/4 (e) So (d) 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. 1 /1-x² sin(2πx) dx 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 margins) that fits these specifications. 个 个 4. A radioactive element decays to 80% of its original amount after 2 days. What is the half-li of this element? (An exact answer is preferred but not required.) 1' 1.5' ↑↑ 216 sq in 1
Transcribed Image Text:(d) y = xe³ - ln(x² + 1) 2. Find the integrals, indefinite or definite: 1 (a) 2) (2² - 2= + 2√ ) dz X (e) 4x³+y³ = 9y (in terms of x and y) 3 3 (b) (x − 2)(x − 1) dx - - 3x-2 e-2 da (c) da dx / dx 1/4 (e) So (d) 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. 1 /1-x² sin(2πx) dx 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 margins) that fits these specifications. 个 个 4. A radioactive element decays to 80% of its original amount after 2 days. What is the half-li of this element? (An exact answer is preferred but not required.) 1' 1.5' ↑↑ 216 sq in 1
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