Calculus Questions from Nov 09,2024

Browse the Calculus Q&A Archive for Nov 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Questão 4) (2.0) Calcule a equação da reta tangente ao gráfico da função definida por e que seja paralela à reta definida pela equação . Suppose that and represent the amounts of two basic inputs for a production process and that the equation describes all input amounts where the output of the process is 33,156 units. a) Find . b) What is the marginal rate of substitution of for when and ? 2) Dadas as funções e , determine os valores de e sabendo que Use implicit differentiation of the equation below to determine the slope of the graph at the given point. The slope of the graph at the given point is . (Simplify your answer.) A point is moving along the graph of . When the point is at , its -coordinate is changing at the rate of -6 units per minute. How fast is the -coordinate changing at that moment? The y-coordinate is changing by (Type an integer or a fraction. Simplif units. units per minute. Suppose that and are both differentiable functions of and are related by the given equation. Use implicit differentiation with respect to to determine in terms of , and . Dadas as funções e , determine os valores de e sabendo que 4.1.3. . 4.2. Find the equation of tangent to at the point . The graph of is a lemniscate. (a) Find by implicit differentiation. (b) Find the slope of the tangent line to the lemniscate at (a)
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