Find the point(s) of intersection between the parabola y=x2+3x−4 and the line y+4x+16=0. Intersection Points: To find the points of intersection between two curves represented by the functions y=f(x) and y=g(x), we need to find the point...
To find the area enclosed by the parabola y=2−x2 and the straight line x+y=0, we can follow these steps: Step 1: Find the points of intersectionTo find the area enclosed by the two curves, we first need to find their points of intersection. We can do this by solving the equati...
题目(25)Find the area of the region included between parabola y2=x and the line x +y =2. 相关知识点: 试题来源: 解析 Q25 given curves are and solving points of intersection aare The area of shaded region sq units. 反馈 收藏
Step 1: Find the Points of IntersectionWe need to find the points where the parabola and the line intersect. To do this, we can express x from the line equation:x=2−yNow, substitute this expression for x into the parabola's equation:y2=2−yRearranging gives:y2+y−2=0Now we ...
To find the intersection of two lines, set the expressions as equal and solve for x. Then determine y by filling in the x you found.
If the functions are x=f(y) and x=g(y), then we simply switch the order of integration. Answer and Explanation: The intersection points of the line and the parabola satisfy the equation −y=9y−y2, so y2−10y=0 and...
The vertex of a parabola is a point at which the parabola makes its sharpest turn. The vertex of f(x) = ax^2 + bx + c is given by (-b/2a, f(-b/2a)). Learn how to find vertex of a parabola from different forms like standard form, vertex form, and inter
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