Find the derivative of in two ways: first by applying the product rule and second by expanding the product into a polynomial and then taking its derivative. Show that both methods yield the same answer
f(x)= (x^2-9)(x^2+9)
Q: Consider the region bounded above by g(x)=−9x−9 and below by f(x)=x2 −9x−18. Find the area, in squar...
A: Calculation:The given curves are f(x) = – 9 x – 9 and g(x) = x2 – 9x – 18.The area enclosed by two c...
Q: Find the exact value of log10(15/4)+log10(4000/15)
A: Given information:The given expression is
Q: Does the series converge absolutely, converge conditionally, or diverge?
A: The given series is
Q: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3
A: Here given differential equation is:Find the solution of given differential equation and match the g...
Q: a. Write the equation of the line that represents the linear approximation to the following function...
A: We have to find f'(x) first.
Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2 ]
A: Given:The function is f(x) = e−4x .Definition used:The average value of a function f(x) on the inter...
Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...
A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...
Q: How can I get the result? Which is the result?
A: The definite integral is given by,
Q: Find the area of the region described. 18 The region bounded by y and y1 2 9+x The area of the regio...
A: y = 18 / (9 + x2)As a first step we need to find the points of intersection of the curve and the lin...