To find the equation of the curve such that the portion of the x-axis cut off between the origin and the tangent at a point is twice the abscissa, and which passes through the point (1, 2), we can follow these steps:Step 1: Understand t
Math Pre-Calculus Parametric equation Draw the curve x=t2,y=t3 with −1<t<1. Question:Draw the curve x=t2,y=t3 with −1<t<1.Parametric Curve:Given a parametric curve specified by equations x=x(t)y=y(t) where t is a parameter, we can plot the curve by resorting to computer ...
Therefore, we will modify the formula slightly: s(x)=∫ax1+(f′(t))2dt. Answer and Explanation: We are given the curve defined by the equation x2=a2(1−ey/a) First, we will solve this equation for y: $$\beg...Become...
Answer to: Let C be the curve given by y = ln(x) from x = 1 to x = e^2. Compute \int_C [e^y dx + xe^{2y} dy]. By signing up, you'll get...
We are given that the curve passes through the point (1,1−43ln2). We substitute x=1 and y=1−43ln2 into the integrated equation to solve for the constant C. Step 9: Find y(16)Finally, we substitute x=16 into the equation we derived to find y(16). Final ResultAfter ...
Answer to: Find the equation of the line normal to the curve y = 8 - x^3 at the point (-1, 9). By signing up, you'll get thousands of step-by-step...
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Based on Fourier analysis, we develop an expression for modeling and simulating nonlinear first order systems. This expression is associated to a nonlinear first order differential equation $$y=f(x)+g(x)x'$$ , where $$x=x(t)$$ is the dynamical variable,
Answer to: Graph the curve x = y - 2 sin pi*y. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
For the curve given by4x2+y2=48+2xy, show thatdydx=y−4xy−x. Implicit Differentiation: This is a multivariable equation with two variables. To prove the equation we shall differentiate the equation with the help of the product rule of differentiation: ...