Combine the expressions for the hazard hch and survivors fix under a Gompertz model into an expression for the density of cohort deaths at age x. Consider the logarithm of this density. Find an expression for its slope and solve for the age at which this slope vanishes. In this way, verify the formula for the modal age at death under the Gompertz model and nd an expression for the value of the hazard rate at the modal age at death