Calculus Help Please!!!
posted by Kim .
Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.)
y = 3x − x^2, x = 3, Δx = −0.6
Δy=???

at x = 3
y = 3*3  9 = 0
at x = 2.4
y = 3(2.4)  2.4^2 = 1.44
delta y = 1.44 0 = 1.44
dy/dx = 3  2 x
at x = 3
dy/dx = 3  6 = 3
if dx = .6
dy = 3 (.6) = 1.8
Respond to this Question
Similar Questions

Chemistry
How do i calculate: What is is ΔG° at 25 °C? 
chemistry
# Which of the following is true for the reaction NH3(l) NH3(g) at –33°C and 1 atm pressure? 
chemistry
Suppose the ΔGof, ΔHof, and ΔSo are available and valid at 298 K. Which equation(s) could be used to calculate the change in Gibbs Energy if all product and reactant concentrations (pressures) are 1 M (1 atm) and the … 
calculus
please help. Compute Δy and dy for x = 4 and dx = Δx = 0.2. (Round the answers to three decimal places.) y = 4x  x2....im lost to were to start solving for delta y 
chemistry
Nitroglycerin is a powerful explosive, giving four different gases when detonated.2 C3H5(NO3)3 (l) → 3 N2 (g) + 1/2 O2 (g) + 6 CO2 (g) + 5 H2O (g)Given that the enthalpy of formation of nitroglycerin, ΔHf°, is −364 … 
calculus
please anyone help me out Consider the following. Function Point f(x) = 5x^2 − 4, (3, 41) Find an equation of the tangent line to the function at the given point. y = Find the function values and the tangent line values at f(x … 
Math
Sorry! I don't get this one either.. limit of (f(x+Δx)f(x)) / Δ x with Δ x > 0 f(x)= 1/(x+3) My work so far before I got stuck... 1/((x+Δx)+3) = 1/(x+Δx+3)  1/x+3 = 1(x+3)/(x+Δx+3)(x+3)  1(x+Δx+3)/(x+3)(x+Δx+3) … 
chemistry
Given the following values of ΔH, ΔS and T, calculate ΔG (in kJ). The values are: ΔH = 95.0 kJ, ΔS = 217 J/K, and temperature = 160 C. 
chemistry
Given the following values of ΔH, ΔS and T, calculate ΔG (in kJ). The values are: ΔH = 23.0 kJ, ΔS = 125 J/K, and temperature = 85.0 C. 
Chemistry
Calcium chloride, CaCl2, is used in “hot packs”. When the solid is mixed with water, the products are favored. Based on this information, which of the following is true for the values of ΔH and ΔS for the dissolving process?