To differentiate {eq}h \left( x \right) {/eq} with respect to {eq}x {/eq}, we use the chain rule for differentiation. According to chain rule, the derivative of {eq}h \left( x \right) {/eq} which is {eq}h' \left( x \right) {/eq} is given by {eq...
What is the sine rule? The Sine Function: The sine function comes from a trigonometric ratio. If we have a right triangle and look at one of its acute angles θ, then the ratio of the side opposite this angle to the hypotenuse (the longest side of the right triangle) gives us sin...
Of the answer choices, only (C) and (D) have a slope of 1, so rule out (A) and (B), which both have a slope of -1.To find the y-intercept of the line, write the equation for the line in slope-intercept form and plug in one of the known points for x and y:y=1x+b3...
Since the bias neuron emits 1 the weights, connected to the bias neuron, are added directly to the combined sum of the other weights (equation 2.1), just like the t value in the activation functions.1 The reason it's impractical is because you're simultaneously adjusting the weight and the...
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A firm uses a single input, labor, to produce output q according to the production function q =8√L. The commodity sells for S 150 per unit and the wage rule is $ 75 per hour. a. Find the profit - maximizing quantity of L. b. Find the profit - maximizing quantity of q. c. W...
How much time is needed will vary from person to person, but psychiatrists have a rule of thumb: grief will last as long as the original relationship lasted. The sad thing is that, when the breakdown occurs, we can only stumble forward over the stones beneath our feet. It is dark ahead...
Exponent Rule for Derivatives The derivative of a function allows us to calculate the slope of the tangent line of a function at any point. There are quite a rules that allow us to calculate the derivative of a function, one of which is called the exponent rule or the power rule. This ...
One of the Breadboard project design choices we’re leaning into is the “hot reload” pattern. “Hot reload” is fairly common in the modern developer UX, and we’d like to bring it into the realm of AI recipes. In this pattern, the developer sees not just the code they write, but...
1. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 fts along a straight path. How...