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Find \cot \theta, given that \cos \theta = -\frac{2}{3} and \theta is in Quadrant III. Show all work without a calculator. Simplify and find the exact value of cot( 1/2 tan^{-1} 2). Assume x is greater than 0. Rationalize denominators. ...
Evaluate the following exponentials. You may need to use a calculator with a Y^x key. Example: X ^{-1/4}. If X = 16, this gives 0.5. Compute to two decimal places or more. a. X^{-1/3}, when X = 3, this gives [{Blank}], b. X^1, when X = 2, this...
The given expression shows that it is an example of implicit differentiation. We will differentiate the given expression with respect to x using multiplication rule of differentiation and chain rule of differentiation to get the desired result. Answer and Explanation: We need to find dydx. Differen...
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The exact value of tan 90° is: Tan 90 Degree = Not Defined Note: Tan 90 = Cot 0 = ∞ How to Find Value of Tan 90 As discussed, when we speak about trigonometry, Sine, Cosine and Tangent are the principle trigonometric functions. Let us give a brief about all three functions or ...
Find the following limit: limx→−13+2x2x−2 Limits:The limit is a particular value to which a function approaches as the input of that function approaches a given value (in the above question, we need to find the limit of the function as the input value, x, approaches ...
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Evaluate the derivative: g'(-9), where g is the inverse of f(x) = x 10 + 10 x5. Find the derivative of g(x) = log(x), noting that g has inverse f(x) = e^x and using implicit differentiation. Find the derivative of the inverse function. f(x) = \frac{x...
Find the following limit: {eq}\lim_{y \to -3} \frac{2}{y + 8} {/eq} Limits: The limit represents the value that a function approaches as the function's input approach some given value. It is an open interval ofy, which containsa, but whereydoes not equala. It is commonly...