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Find the average value of the function f(x) = x 2 over the interval [0, 6] and find c such that f(c) equals the average value of the function over [0, 6]. Hint.If ax + by + cz =d is equation of plane then (a,b,c) is normal vector to plane. Here the planes have normal vectors a = (1, 1, 1) and b = (1, -2, 2), Let L denotes line of intersection .The direction of …. 2. Given two planes a +y+z 1 and r 2y +2z 4. Which equations describe the parametric equations of the line of intersections of those two ...Dec 13, 2012 · COUPON: RENT Calculus 10th edition by Larson eBook (9781285415376) and save up to 80% on online textbooks📚 at Chegg.com now! Rent Basic Multivariable Calculus at Chegg.com and save up to 80% off list price and 90% off used textbooks. 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Solutions Manuals are available for thousands of the most popular college and high school textbooks in subjects such as Math, Science ( Physics , Chemistry , Biology ), Engineering ( Mechanical , Electrical , …Figure 5.3.1: By the Mean Value Theorem, the continuous function f(x) takes on its average value at c at least once over a closed interval. Exercise 5.3.1. Find the average value of the function f(x) = x 2 over the interval [0, 6] and find c such that f(c) equals the average value of the function over [0, 6]. Hint.Expert-verified. Find the dimensions of a right cone with surface area of 1 cm² that has maximum volume. Given that the volume and surface area are: V=-rah SA = rr2+h2 3.Chegg Solution Manuals are written by vetted Chegg Calculus experts, and rated by students - so you know you're getting high quality answers. 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(a) ∫0π/4sec2 (θ)dθ (c) ∫01x+xdx (b) ∫04x3−6x2+8xdx (d) ∫011e2xdx. Chegg Study Expert Q&A is a great place to find help on problem sets and Calculus study guides. Just post a question you need help with, and one of our experts will provide a custom solution. You can also find solutions immediately by searching the millions of fully answered study questions in our archive. Step-by-step solution. Step 1 of 7. Consider the tank holding 1000 gallons of water, and the water drains from the bottom of the tank in half an hour. Consider the table showing the volume V of water remaining in the tank after t minutes; (a) The objective is to find the slopes of the secant line PQ where P is the point on the graph of V and Q ...Chegg Study Expert Q&A is a great place to find help on problem sets and Calculus study guides. Just post a question you need help with, and one of our experts will provide a custom solution. 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