Optimization Tutorials—Clear STEP BY STEP Explanation! #mathwithprofessorv #calculus #optimization

Examples in this video:
1. From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume?

EDIT: At 13:06 the volume should be 250000/3 (I’m missing a 0 in the video)

2. A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 33 ft3. What dimensions yield the minimum surface area?
3. A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 90 in. What dimensions will give a box with a square end the largest possible volume?
4. A rectangular sheet of perimeter 27 cm and dimensions x cm by y cm is to be rolled into a cylinder as shown in part (a) of the figure. What values of x and y give the largest volume?


For an introductory video lecture on optimization:
https://youtu.be/bW1O4W-qsFw

Other optimization videos:
Larry the Lifeguard: https://youtu.be/gHThELGkVto
Homework exercises: https://youtu.be/X1LNC_tTWHI

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Professor V

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Calculus 2 Lecture Videos on Integration:
Integration by parts: https://youtu.be/0klrkpMUsXA
Tabular Integration: https://youtu.be/pzhJciqIrzw
Trigonometric integrals: https://youtu.be/0MqaL3fwPu4
Trigonometric Substitution: https://youtu.be/rAH-dRxQ4o0
Partial Fraction Decomposition: https://youtu.be/mT25uSspHIU
Strategy for Integration: https://youtu.be/P_smvpnX3_g
Improper Integrals: https://youtu.be/Q0zD3GjXJ1s

Trig Review:
Unit Circle: https://youtu.be/nl84YXi1_3A
Trig Identities: https://youtu.be/SLVrNGi1Br0
Sum and Difference Formulas: https://youtu.be/9kC8gwkxf6A
Double Angle & Half-Angle Formulas: https://youtu.be/EaF57Y4B2uY

Calculus 3 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD

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Видео Optimization Tutorials—Clear STEP BY STEP Explanation! #mathwithprofessorv #calculus #optimization канала Math with Professor V