known rules of integration, while still accounting for the details that calculus imposes on such an action. This technique is also often called the “change of variable” technique, because we are essentially replacing expressions of ‘x’ with expressions of ‘u’. But it’s not as simple as...
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1) Consider the following function: h(x) = {2x \sin (\frac{pi}{x}), x \neq 0, k, x = o. a) Use calculus to find a real number k that makes h(x) continuous everywhere. b) Use definition of derivat Determine all values of t...
Evaluate the integral by making the given substitution. (dt/(1 - 9t)^6), u = 1 - 9t Evaluate the given integral using a substitution. \int 15 e ^ { - 3 x } / x ^ { 2 } d x Evaluate the integral by substitution method. Integral tan x dx Evaluate the ...
4.4 The Second Fundamental Theorem of Calculu
Use part I of the Fundamental Theorem of Calculus to find the derivative of ='false' h(x) = \int_{-3}^{sin(x)} (cos(t^4) + t)dt ='false' h' (x)= If ='false' f(1)=14, f ' is continuous...
Use calculus to show what will happen to demand goods one and two, x1* and x2*. For each good, determine whether it is an inferior or normal good. Show all your work. Income Elasticity of Demand: Income elasticity of demand measures the change in quant...
Vector calculus: https://www.youtube.com/watch?v=tDtYAddb4o4 Courses: Great starter course: Machine Learning: https://www.coursera.org/learn/machine-learning - videos only: https://www.youtube.com/playlist?list=PLZ9qNFMHZ-A4rycgrgOYma6zxF4BZGGPW - see videos 12-18 for a review of ...
He'll walk you through some basic Linear Algebra, Calculus, and Matrix math so you can better understand what's happening under the hood. Then he'll teach you key Machine Learning concepts like Neural Networks, Perceptrons, and Backpropagation. If you want to expand your math skills so you...
A Discussion on the Substitution Method for Trigonometric Rational Functions It is common to see, in the books on calculus, primitives of functions (some authors use the word "antiderivative" instead of primitive). However, the majo... JC Ponce-Campuzano,A Rivera-Figueroa - 《Mathematics & Co...