at x = −1 the function is decreasing, it continues to decrease until about 1.2 it then increases from there, past x = 2 Without exact analysis we cannot pinpoint where the curve turns from decreasing to increasing, so let us just say: Within the interval [−1,2]: the curve decrea...
A function ff is a decreasing function on an open interval if [latex]f\left(b\right)a[/latex]. A function ff has a local maximum at x=bx=b if there exists an interval (a,c)(a,c) with [latex]a Example 7: Finding Increasing and Decreasing Intervals on...
iii. The value of the car depreciates at a constant rate. 2. Henry and Roxy both drive electric cars that need to be recharged before use. Henry uses a standard charger at his home to recharge his car. The graph below represents the relationship between the battery charge and the amount...
Rate of Change:The rate of a change of a variable is its derivative with respect to time. It describes how the variable is changing (increasing or decreasing) with respect to time. For example, the rate of change of {eq}y {/eq} is {eq}\dfrac{dy}{d...
If two functions are said to be increasing or decreasing in some interval, then the product of the two functions will also behave in the same manner, so will increase or decrease respectively.Answer and Explanation: It is given that f(x) and g(x) are ...
(-\omega t\right)\), i.e., it exhibits constant absolute risk aversion with coefficientω. If the discount rateω< 0,\(u\left(t\right)=exp\left(-\omega t\right)-exp\left(-\omega M\right)\)is risk seeking. Hence an individual who discounts future life years at a constant rate ...
In this method, high-pressure gas is injected into the tubing, decreasing the fluid density in the well. This leads to a decrease in the bottom hole pressure and an increase in flow rate18,19,20,21,22. However, high-pressure gas also has huge risks to nearby wells and surface ...
For all three cases, the C(Ti)-τbi relationships consist of two straight lines intersecting at a point at which the bed shear stress is indicated by a characteristic value, τbch. When τbi exceeds τbch, C(Ti) increases at a higher rate with τbi than in the cases in which τbi ...
Sketch the graph of a decreasing function {eq}f {/eq} such that both {eq}f'(x) {/eq} and {eq}\displaystyle A(x) = \int^x_0 f(t)\ dt {/eq} are increasing. Area Function: Suppose the function {eq}f(x) {/eq} is continuous and non...
a, True. b. False.Derivative of a Curve:The derivative of a curve {eq}y =f(x) {/eq} shows the change in y relative to the change in x, and this is called the slope of the curve or tangent's slope. So, we define the increasing and decreasing intervals of a curve us...