Calculus category: 455 books

"The total monthly cost for a small manufacture of swimwear is given by the equation C(x) = 10,000+4X – 0.001X2"

Final Exam Review: College Algebra covers the following topics: a note to the student in preparing for exams; Polynomial, Nonlinear, and Radical Equations; Sets, Relations, Functions; Absolute Value Equations and Inequalities; Linear Programming; Graphs of Functions; Asymptotes; Logarithms; Exponential...

Estimate the indicated derivative by any method.

Consider the fuction as representing the value of an ounce of silver in Indian rupees as a function of the time t in days. Find the average rates of chage of R(t) over the time intervals [t, t+h], where t is as indicated and h = 1, 0.1, and 0.01 days. Hence, estimated the instantaneous rate of change of R at time t.

The graph of function is shown together with the tangent line at a point P. Estimate the derivative of f at the coeersponding x value.

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz...

Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge–Ampère and linearized Monge–Ampère equations. As an application, we solve the second boundary value problem of the prescribed...

"Given the following function: a. Find all stationary points b. Identify each stationary point as a local min or local max "

"Suppose that a learning curve us described by the function T(N) = 20/√N Where (T)n is the time in hours to produce the nth unit. a. How much time is required to produce the fourth unit. b. How much time is required to produce the first four units. c. If the cost of labor is $10 per hour, how much money does if cost the to produce the first four units. "

Graph the function g(x) = [x (9x – 5) (x – 1)] 4. Calculate the first derivative and critical points.

Graph the function h(x) = x2/3 (x2 -2x – 6). Calculate the first derivative. Calculate critical values and use the first derivative test to show maximums and minimums. Clearly label the critical points and the increasing and decreasing intervals on the graph.

Given the function, f(x,y), identify each stationary point as a local max, local min, or saddle point

This book presents advanced case studies that address a range of important issues arising in space engineering. An overview of challenging operational scenarios is presented, with an in-depth exposition of related mathematical modeling, algorithmic and numerical solution aspects. The model development...

Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which is highly relevant with regard to engineering applications. The absence...