Answer to: Calculate dy, when y = sqrt{x} for x = 1 and dx = 1. (That is, estimate the change in y as x changes from x to x + dx (i.e. x changes...
for u=u(x) and v=v(x), we have ∫uvdx=u∫vdx−∫(dudx∫vdx)dx Also, note that ILATE-Rule: Selection of u and v is on the basis of family from which function belonging. That is prior belonging from I,L,A,T and E sets will give u, where I-Inverse Trigonometric ...
Answer to: Find dy/dx. y = 9 ln x + 2 log_9 x By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
We have to find {eq}\frac{dy}{dx} {/eq} for the given expression. 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 t...
Answer to: Evaluate the integral. \int_1^{\ln 3} \int_0^{\ln y} e^{x + y} \; dx \, dy By signing up, you'll get thousands of step-by-step solutions...
y=9tanx a) Find dy b) Evaluate dy for x=π4 and dx=−0.1 Derivative: The derivative can be found by using the standard formula for the derivative after finding the derivative we will plug-in the value of dx and x in dy to get the result. Answer and Explanati...
Use the information to evaluate and compare Delta y and dy. (Round your answers to three decimal places.) y = x^4, x = 1, Delta x = dx = 0.1. Estimate Delta f using the Linear Approximation and use a calculator to compute the error. f(...
Evaluate the integral: \int_0^1 \int_{3y}^3 e^x\ dx dy Use a calculator to evaluate the integral from 2.1 to 5.9 of (e^x + cos(x))/(3x) dx. Evaluate the integral. Integral e^x square root{2+e^x} dx Evaluate the integral. \int e^{-x} \sin x\ dx Evaluate the...
Answer and Explanation:1 We are given {eq}\displaystyle \int_0^1 \int_{\sqrt x}^1 \cos (y^3)\ dy\ dx {/eq}. Step 1: Sketch of the region of integration appears below: ... Learn more about this topic: Iterated Integral | Definition, Calculation & Examples ...
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. ...