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Directional DerivativeConsider the function
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Chapter 13 Solutions
Calculus (MindTap Course List)
- Scot³ (x²) csc² (x²)x dx Туре U u'arrow_forwardPartial derivativesarrow_forwardvepartn rd/ My courses / MATH1103 / MATH1103 - APPLIED MATHMID EXAM-APPLIEDT Moving 21 Find the slope and y-intercept of the linear function f(x) = 7I – 46 slope = 7, y– intercept = -46 ut of O slope = 0, y- intercept = -46 uestion O slope =-46, y- intercept = 0 O slope = -46, y- intercept = 7 O slope 53.0, y intercept =-46 22 Using the logarithmic properties, the simplified form of em(8.875) 17 is:arrow_forward
- The domain of the function f(x,y) =, ху is V x² + y? The upper half plane without the origin The second and the fourth quadrant without the origin The first and the third quadrant without the origin The left right plane without the originarrow_forwardMarginal Productivity A manufacturer estimates that pro- duction (in hundreds of units) is a function of the amounts x and y of labor and capital used, as follows. 3 f(x, y) = (a) Find the number of units produced when 16 units of labor and 81 units of capital are utilized. (b) Find and interpret f,(16, 81) and f,(16, 81). (c) What would be the approximate effect on production of increasing labor by 1 unit from 16 units of labor with 81 units of capital?arrow_forwardA function f of two variables has a function equation of the form f(x, y) = ln(ax²y + bxy + c) where a, b and c are real numbers. It is given that the tangent plane to the graph off at the point (−1, 3, ƒ(−1, 3)) has equation z = -6x-y-3. a) Explain why the information given tells you that f(-1, 3) = 0. b) Consider the contour line of the function f through the point (-1, 3) in the (x, y)-plane. Find the equation of the tangent line to this contour line at the point (-1, 3). You do not need to find the values for a, b and c to answer this question! c) Find the values for the numbers a, b and c.arrow_forward
- sec2(0) de V5-sec2(0)arrow_forwardINTEGRAL The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0 Choices: x = √(165/4) - (1/2) x = √(165/4) + (3/2) None of the choices x = √(165/4) + (1/2)arrow_forwardThe intersections with the abscissa axis of the image function are: f(x) = x2 + 10x + 21 O (7,0) y (3,0) O (-7,0) y (3,0) O (-7,0) y (-3,0) O (7,0) y (-3,0)arrow_forward
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