The roots for the given quadratic equation are x1 ≈ 2.46625 and x2 ≈ -1.21625. For solving the quadratic equation 4x² – 5x – 12 = 0 we apply the quadratic formula, this method is a steadfast solution strategy when facing any quadratic equation of the form ax² – bx – c = 0. Below we […]
Category Archives: Algebra Q&A
Expert Answer: The greatest integer function is not differentiable on any real value of x because this function is discontinuous on all the integer values, and it has no or zero slopes on every other value. We can see the discontinuity in Figure 1. Let f(x) is a floor function which is represented in Figure […]
This question explains the concept of antiderivative and how to draw its graph from the function graph. The antiderivative of a function is the indefinite integral of the function. If we take its derivative, it will give out the original function. The derivative and antiderivative or indefinite integral are inverse of each other. The derivative […]
What is the electric potential at the point on the x-axis where the electric field is zero? What are the magnitude and direction of the electric field at the point on the x-axis, between the charges, where the electric potential is zero? This question aims to find the electric potential at the point on x-axis […]
This problem aims to find the average value of a function on a given interval and also find the slope of that function. This problem requires knowledge of the fundamental theorem of calculus and basic integration techniques. To find the average value of a function on a given interval, we will integrate and divide the […]