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Math test with answers Part 2

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Description

  • Math test, the number of jobs - 90.
  • Task 1
  • Question 1. What is called a function?
  • number;
  • a rule by which each value of argument x corresponds to one and only one value of y;
  • vector;
  • matrix;
  • there is no right answer.
  • Question 2. How is it possible to determine the inverse function?
  • where each element has a unique inverse image;
  • When the function is constant;
  • when the function is not defined;
  • When the function is multi-valued;
  • there is no right answer.
  • Question 3. What function is called Limited?
  • reverse;
  • the function f (x) is bounded, if mf (x) M;
  • complex;
  • the function f (x) is called bounded if f (x)> 0;
  • the function f (x) is called bounded if f (x) 0;
  • Question 4: What is the point is called a limit point of A?
  • null;
  • t.h0 called a limit point of A if every neighborhood of x0 contains a point of A different from x0;
  • not belonging to the set A;
  • there is no right answer;
  • lying on the boundary of the set.
  • Item 5. Can be a limit at the point when one-sided limits not equal?
  • Yes;
  • sometimes;
  • No;
  • always;
  • there is no right answer.
  • Task 2
  • Question 1. Is the function of infinitesimal when?
  • Yes;
  • No;
  • sometimes;
  • always;
  • there is no right answer.
  • Question 2. Is the function is infinitely large at?
  • Yes;
  • No;
  • sometimes;
  • if x = 0;
  • there is no right answer.
  • Question 3. Is the function y = sin x infinitely large when?
  • Yes;
  • No;
  • sometimes;
  • always;
  • there is no right answer.
  • Question 4. Is the function y = cos x infinitely large when?
  • Yes;
  • No;
  • sometimes;
  • always;
  • there is no right answer.
  • Question 5. Is the function y = tg x infinite in Vol. X0 = 0?
  • Yes;
  • sometimes;
  • always;
  • No;
  • there is no right answer.
  • Activity 3
  • Question 1. Is the product of an infinitesimal function on a limited function, infinitesimal function?
  • No;
  • Yes;
  • sometimes;
  • not always;
  • there is no right answer.
  • Question 2: When is infinitesimal  (x) and  (x) are called infinitesimal of the same order at x0?
  • if they are equal;
  • if;
  • if;
  • if the limits are 0;
  • there is no right answer.
  • Question 3. How many kinds of basic elementary functions we learned?
  • 5;
  • 1;
  • 0;
  • 2;
  • 3.
  • Question 4: What is the limit of the constants?
  • 0;
  • e;
  • 1;
  • ;
  • p.
  • Question 5. Is the power function continuous?
  • No;
  • Yes;
  • sometimes;
  • for x> 1;
  • there is no right answer.
  • Task 4
  • Question 1. Give the formula of the first remarkable limit.
  • ;
  • uґ = kx + B;
  • there is no right answer.
  • Question 2. Give the formula of the second remarkable limit.
  • 0;
  • Question 3: What functions are called continuous?
  • infinitesimal;
  • satisfying the following conditions: a) f is definable in t. in x0) exists and is equal to f (x0);
  • infinitely large;
  • degree;
  • trigonometric.
  • Question 4. If f (x0 + 0) = f (x0-0) = L, but f (x0) L, which is a function of the gap?
  • there is no right answer;
  • 2nd kind;
  • Disposable;
  • ineradicable;
  • the function is continuous.
  • Question 5. What is the gap f (x) in t. X0 if f (x0-0) f (x0 + 0), and it is not known: Of course these limits?
  • Disposable;
  • ineradicable;
  • the function is continuous;
  • 1st kind;
  • 2nd kind.
  • Task 5
  • Question 1. Formulate the continuity of complex functions.
  • always difficult function is continuous;
  • If the function u = g (x) is continuous at x0 and the function y = f (u) is continuous at u = g (x0), then the composite function y = f (g (x)) is continuous at x0.
  • complex function is a composite of continuous functions is not continuous;
  • complex function is discontinuous;

Additional information

  • Question 3. What is the derivative of the function?
  • The limit values \u200b\u200bof this function;
  • 0;
  • 1;
  • e
  • Question 4. What function is differentiable at x = 4?
  • ln (x-4);
  • having a derivative at x = 4;
  • is continuous at x = 4;
  • there is no right answer
  • Question 5. What function is called differentiable on (a, b)?
  • discontinuous at each interval;
  • differentiable at each point of the interval;
  • constant;
  • increasing;
  • decreasing.
  • Task 6
  • Question 1. What is the derivative of y = a constant?
  • 1;
  • 0;
  • e;
  • ;
  • there is no right answer.
  • Question 2. What is the derivative of the function y = x5?
  • 0;
  • 1;
  • e;
  • 5x4;
  • there is no right answer.
  • Question 3. What is the derivative of y = ex?
  • 0;
  • ex;
  • e;
  • 1;
  • there is no right answer.
  • Question 4: What is the derivative of y = ln x?
  • ;
  • 0;
  • e;
  • 1;
  • there is no right answer.
  • Question 5. What is the derivative of y = sin x?
  • 0;
  • cos x;
  • e;
  • 1;
  • there is no right answer.
  • Task 7
  • Question 1. Can a continuous function be differentiable?
  • No;
  • Yes;
  • only at x =;
  • only at x = 0;
  • there is no right answer.
  • Question 2: Is it always a continuous function is differentiable?
  • always;
  • never;
  • not always;
  • at x = 0;
  • in Vol. x =.
  • Question 3: Can a differentiable function to be continuous?
  • No;
  • Yes;
  • never;
  • in Vol. x = 0;
  • in Vol. x =.
  • Question 4. Is it always a differentiable function is continuous?
  • not always;
  • never;
  • there is no right answer;
  • in Vol. x = 0;
  • always.
  • Question 5. Find the second derivative of the function y = sin x.
  • cos x;
  • -sin x;
  • 0;
  • 1;
  • tg x.
  • Task 8
  • Question 1. What is the main linear part of the increment function?
  • derivative;
  • Differential (DN);
  • function;
  • infinitesimal;
  • infinitely large.
  • Question 2. State the L'Hospital's rule.
  • If the right-hand side there is a limit;
  • ;
  • ;
  • there is no right answer;
  • Question 3: Which types of uncertainties can be opened using L'Hospital's rule?
  • {0};
  • ;
  • cx 0;
  • cx;
  • x.
  • Question 4. Is the condition of the y = 0 at the point, which is not a boundary point of the domain of a differentiable function at the necessary condition for the existence of extremum at this point?
  • No;
  • Yes;
  • not always;
  • sometimes;
  • there is no right answer.
  • Question 5. Is the condition of the j = 0 m. X = a sufficient condition for the existence of extrema?
  • Yes;
  • No;
  • not always;
  • sometimes;
  • there is no right answer.
  • Task 9
  • Question 1. What function is called a function of two variables?
  • f (x);
  • n = f (x, y, z);
  • there is no right answer;
  • z = f (x, y);
  • f (x) = const = c.
  • Question 2. Calculate the limit of the function.
  • 0;
  • 29;
  • 1;
  • 5;
  • 2.
  • Question 3: Calculate the limit of
  • 0;
  • 1;
  • 16;
  • 18;
  • 20.
  • Q4: Which lines are called lines of discontinuity?
  • straight;
  • consisting of break points;
  • parabola;
  • ellipses;
  • there is no right answer.
  • Question 5. Find the first derivative of the function at z = 3x + 2y.
  • 1;
  • 2;
  • 0;
  • 5;
  • there is no right answer.
  • Task 10
  • Question 1. What is the function whose derivative is the given function?
  • Question 2. Locate the erroneous expression if - one of the primitives for a function, and C - arbitrary constant.
  • etc.
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Reviews

27.12.2017 1:37:00
Спасибо за хорошую и недорогую и работу
24.06.2016 18:53:03
спасибо, супер
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