微积分模拟试题一（Calculus simulation questions）.docVIP

微积分模拟试题一（Calculus simulation questions） Man became a slave to the book and brought the dead to life....... The book is the tool of man, and the knowledge in the book is lived. Its alive. - Hua Luogeng Calculus simulation questions A single choice (the total of 5 items, each item of 3 points, a total of 15 points) (1) the following functions are singular functions (2) function f (x) is continuous at a point where f (x) is derivable () A. full, B. necessary, C. necessary, necessary, D. independent (3) at that time, 1-cosx was about A. equal order infinitesimal B., lower order infinitesimal C., higher order infinitesimal D., infinitesimal (4).X=1 is a function A. continuous point B. can go to discontinuous point, C. jump, discontinuous point, D. infinite point of break (5) the area covered by the plane area is () Two, fill in the blanks (the 5 items, each item of 3 points, a total of 15 points) (1).=. (2). Y=In x is known,. (3) the tangent equation of the point (0, 1) on the curve is: y=. (4).=. (5). It is known that. Three, calculate the following limit (the total of 2 items, each item of 5 points, a total of 10 points) Four, calculate the following derivative or differential (the total of 3 items, each item of 6 points, a total of 18 points) (1) sum of dy. (2) in which F has two order derivatives (3) set the function y=f (x) determined by the equation Five, the following calculation of indefinite integral (the total of 2 items, each item of 6 points, a total of 12 points) Six, the calculation of definite integral (the total of 2 items, each item of 6 points, a total of 12 points) Seven, application (the 3 items, each item of 6 points, a total of 18 points) (1) set the tangent and normal equation of the parabola at (0, -4). (2) known marginal cost, the additional cost should be added when the production is increased from Q=30 to Q=50. (3). Set up a shop in the purchase price of 10 yuan each to buy a batch of shirts, and the commodity demand function Q=80-2p (where q i