Linearize the equations E = V + Ir, F = Q2 / (4πε₀r²), and R = R₀(1 + αθ) into the form y = mx + c.

Here are the linearized forms of the equations from the paper: 1. For the equation E = V + Ir (Problem 5) Step 1: Rearrange the equation to match the linear form y = mx + c. The equation is E = V + Ir. To obtain E and r from a graph, we typically plot the measured voltage V against the current I. V = -Ir + E Step 2: Identify y, x, m, and c. Let y = V and x = I. The linearized equation is: V = (-r)I + E Here, the slope m_slope = -r and the y-intercept c_intercept = E. 2. For the equation F = (Q^2)/(4 _0 r^2) (Problem 6) Step 1: Rearrange the equation to match the linear form y = mx + c. The equation is F = (Q^2)/(4 _0 r^2). To determine _0, we can plot F against (1)/(r^2). F = ((Q^2)/(4 _0)) ((1)/(r^2)) Step 2: Identify y, x, m, and c. Let y = F and x = (1)/(r^2). The linearized equation is: F = ((Q^2)/(4 _0))((1)/(r^2)) Here, the slope m_slope = (Q^2)/(4 _0) and the y-intercept c_intercept = 0. 3. For the equation R = R_0(1 + ) (Problem 7) Step 1: Expand the equation. R = R_0 + R_0 Step 2: Rearrange into the linear form y = mx + c. To obtain R_0 and , we can plot R against . R = (R_0 ) + R_0 Step 3: Identify y, x, m, and c. Let y = R and x = . The linearized equation is: R = (R_0 ) + R_0 Here, the slope m_slope = R_0 and the y-intercept c_intercept = R_0. 4. For the equation h - H = ut + (1)/(2)gt^2 with u=0 (Problem 8) Step 1: Substitute u=0 into the equation. h - H = (0)t + (1)/(2)gt^2 h - H = (1)/(2)gt^2 Step 2: Rearrange into the linear form y = mx + c. To obtain H and g, we can plot h against t^2. h = ((1)/(2)g)t^2 + H Step 3: Identify y, x, m, and c. Let y = h and x = t^2. The linearized equation is: h = ((1)/(2)g)t^2 + H Here, the slope m_slope = (1)/(2)g and the y-intercept c_intercept = H. 5. For the equation PV = k (Problem 9) Step 1: Rearrange the equation to match the linear form y = mx + c. To determine k, we can plot P against (1)/(V). P = k ((1)/(V)) Step 2: Identify y, x, m, and c. Let y = P and x = (1)/(V). The linearized equation is: P = k ((1)/(V)) Here, the slope m_slope = k and the y-intercept c_intercept = 0. That's 2 down. 3 left today — send the next one.