Weby = Z 3x2 − 2x dx = x3 − x2 +C. The general solution is y = x3 − x2 +C. To find a solution that passes through the point (2,6), we set x = 2 and y =6 in the general solution and solve for C: 6=23 −22 +C =8− 4+C which implies C =2. Thus, y = x3 − x2 + 2 is a solution of the differential equation that satisfies the given condition. WebJan 2, 2024 · For the following problems, use the direction field below from the differential equation y ′ = − 2y. Sketch the graph of the solution for the given initial conditions. 1) y(0) = 1 2) y(0) = 0 Solution: 3) y(0) = − 1 4) Are there any equilibria? What are their stabilities? Solution: y = 0 is a stable equilibrium
4.6 Directional Derivatives and the Gradient - OpenStax
WebThis ring is not a field (and is not even an integral domain) because 2 × 2 = 4 ≡ 0 (mod 4). Therefore, let f ( x) = g ( x) = 2 x + 1. Then, f ( x) g ( x) = 4 x2 + 4 x + 1 = 1. Thus deg ( f ⋅ g) = 0 which is not greater than the degrees of f and g (which each had degree 1). WebJan 26, 2024 · Click here 👆 to get an answer to your question ️ Evaluate 4x2y + x when x = -1 and y = 7, Nyc300 Nyc300 01/26/2024 Mathematics College answered Evaluate … microwave 900 watts
Implicit Derivative Calculator - Symbolab
WebHow do you find the implicit derivative? To find the implicit derivative, take the derivative of both sides of the equation with respect to the independent variable then solve for the derivative of the dependent variable with respect to the independent variable. What is an implicit derivative? WebFeb 28, 2014 · evaluate 4x − 2y if x = −1 and y = −5. 0 votes. i just need help on this question cause they put me in algebra 1 honors and im not for sure how to do this … WebThe Hessian matrix in this case is a 2\times 2 2 ×2 matrix with these functions as entries: We were asked to evaluate this at the point (x, y) = (1, 2) (x,y) = (1,2), so we plug in these values: Now, the problem is ambiguous, since the "Hessian" can refer either to this matrix or to its determinant. What you want depends on context. news in 1944