Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 11.6, Problem 23PS
To determine
To find a unit
And to find the standard form of the equation of tangent plane to this surface at above point
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Chapter 11 Solutions
Calculus
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- REVIEW MATHEMATICS_m.. Application Problems 1. Find the slope of the curve x+ y-6x-4y-21 0 at (0, 7). Compute also the tangent line and normal line at (0,7) 2. Determine the radius of curvature at (1,2) of the curve y-4x 0. 3. The number of newspaper copies distributed is given by C 50t- 200t + 10000, where t is in years. Find the minimum number of copies distributed from 2016 to 2021. 4. A boatman is at A, which is 4.5km from the nearest point B on a straight shore BM. He wishes to reach, in minimum time, a point C situated on the shore 9km from B, how far should he land if he can row at the rate of 6kph and walk at the rate of 7.5 kph.arrow_forwardGive the equation of the tangent plane to each of these surfaces atthe point indicated.arrow_forwardFor problems 1 - 3 find the unit tangent vector for the given vector function. 1. F(t) = ²7 cos (8t) 7 + sin (8t) k 2. r(t) = (8t, 2 t6, t¹) 3. r(t) = (In (6t), el-t,5t) For problems 4 & 5 find the tangent line to the vector function at the given point. 4. r(t) = (3+t², t¹, 6) at t = -1. 5. r(t) = (2t, cos² (t), e6t) at t = 0. For problems 6 & 7 find the unit normal and the binormal vectors for the given vector function. 6. r(t) = (et sin (t), e¹t cos (t), 2) 7. r(t) = 2ti+t² + In (1²) karrow_forward
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- Please solve all of them clearly.arrow_forwardPlease answer, thank you!arrow_forward33. Sketch the diagram that you would use to find the magnitude of the sum of a and b if the angle between them is 67° and the magnitudes are 7 and 11 respectively. Ensure that all vectors are labelled. Also include the equilibrium vector in your diagram. 34. For the function whose graph is given below, find the following: [ a. lim f(x)= x-2 b. lim f(x)= x-2° c. lim f(x)= x 2 d. lim f(x)= e. lim f(x)= x-1 f. lim f(x)= x1 g. f(2)= h. f(-1)= [10 8arrow_forward
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