This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
Okay, Victor. Let's tackle these questions in English. Here's the solution for Question 1: Step 1: Find the y-coordinate of the point on the curve where x=1. Substitute x=1 into the equation of the curve y = x^2 - 3x + 2: y = (1)^2 - 3(1) + 2 y = 1 - 3 + 2 y = 0 So, the point of tangency is (1, 0). Step 2: Find the derivative of the curve to get the slope function. Differentiate y = x^2 - 3x + 2 with respect to x: (dy)/(dx) = (d)/(dx)(x^2) - (d)/(dx)(3x) + (d)/(dx)(2) (dy)/(dx) = 2x - 3 Step 3: Evaluate the derivative at x=1 to find the slope of the tangent line. Substitute x=1 into the derivative: m = 2(1) - 3 m = 2 - 3 m = -1 Step 4: Use the point-slope form of a linear equation, y - y_1 = m(x - x_1), to find the equation of the tangent. Using the point (x_1, y_1) = (1, 0) and the slope m = -1: y - 0 = -1(x - 1) y = -x + 1 The equation of the tangent to the curve at the point where x=1 is y = -x + 1. That's 2 down. 3 left today — send the next one.