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Math test with answers Part 2
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Uploaded: 13.11.2012
Content: 21113193720763.rar 319,86 kB
Product 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;
It is a complex function
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 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 y = 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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