Homework tasks step by step, Exercises of Calculus

Homeworks solved problems with step by step solutions

Typology: Exercises

2025/2026

Uploaded on 06/15/2026

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Section
2
.
1
515
13
,
-2)
,
154
-
2)
,
17
,
11
,
14
,
9) 3
Function
D
-
>
1
3
,
4
,
5
,
7)
R
-
1
-
2
,
1
,
9)
7)
Gf3
,
-
3)
,
1- 2
,
-2)
,
71
,
-
7)
,
10
,
07
Y
Function
D
-
>
(
-
3
,
-
21
-
1
,
0
R
-
>
1
-
3
,
-
2
,
-
1
,
8/
15/x
+
y
=
12
y
16
-
x?
y
=
I
No
function
19/
y
=
m
Function
25)(x1
-
y
=
2
-
y
=
-
(x)
+
2
=
yz
on
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c
pf1d
pf1e
pf1f
pf20

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Section 2.^1

    , (^17) , (^11) , 14 , 9) 3 Function D - > (^1 3) , 4 , 5 , 7) R (^) - 1 -^2 , 1 , 9)

Gf ,

, 1- 2, -2) , (^71) ,

  1. (^) , 10 , 07 Y Function D -^ >^ (
  • 3 ,
  • 21 - (^1) , 0 R -^ >^1 -^3 ,
  • 2 ,
  • 1 , 8/ 15/x

y = 12 y 16 -^ x? y

= I

No (^) function 19/ (^) y = (^) m Function 25)(x

  • y = 2

y

  • (x) +^2 = yzon

29(y(x) =^ x^ =^ 2x^ +^3 al gl

    1. = 1 -^ 1172)
        • 3

g() =^

1 - 2 + 3 gl- 1)^ =^ 2 & g(x +^ 5)^ =^ (x^

  • (^) i)) +^ 2(x^ +5)^ +^3 g(x
  • (^) 5) 2x2+ 184925 +^ 2xe^
  • 3 f(x+^ 5)^ =^ x2 (^) + 12x + (^38) Cl g(
  • x) (^) = fx) (^) + 21 - x) + (^3) g() = x2^ -^ 2x^ +^3 357d/x) = a (^) 1612) :

d a

)g() In

53)((x) =^18 ,

:T e , 94

.. =*

-^ *

671f/4)

Y 4- other 69/473) (^) , (^0) one 73/y(

answer

yz 2 75)g(x)

  • E 791D
  • y(X +^0 R R (1^ ,

f+

    1. (^) = 2 Xint f(3)^

Yit f

missing y = 1 X (^) it

T+^ 9) y int^ =^

  • fi d/3) =^1 871 Xint-none y =
  • 2 D 0 ,+y) d (4) =^
  • 5

z] d/4) = - 89 1 D lo, 10 ,^ %) flu =^6 X- none y = 715

Section 2.^2 (^1). One (^) int (^11)

,+ %)^

Unc (^10) , + D)

bee int 1-0, -

Dee (^) none constrore Const none

  1. One^ fo,^ 0)^11 ,^5 , 3) bec (^10) , 1 ,^ 51 (3 +d) - con (^) mone (^111) const

0 , (^) -2) (9^ , +9/ an e

  • (^2) , 4) bec none 131 x =^ 0'^ , zel (^) maximum Xz- 3 , 3 2) minimum^ O
  1. (^) y =^ X2+^6

y

: (^) /- X2) +^6 espeed to^ yoxis y =^ X2^ +^

17()

  • y) =^ x+^6

y = x2+^ E not (^) respetet +o (^) x

ye-X"

  • G &Dis 'no^ symetric

(y)z( -

Xy + 6

  • y = X2^ +^6 not^ sym by y =x"^ - (^) G speed on origin sym on y an (^) is 19)x = y

6 1

x) =

y

  • 6
  • x2 (^) yz not (^) sym by x27yl"
  • 6 zespyaxis xz (^) y? 6
  1. (^) x (^) 39g(x) =^ x
  • (^) X (^) not even was add

gEx) =^

  • X2^ +*)^

set (^) sym to^ neither 41)h(x)

= X

  • xY

even sym toy = X A ⑲ on

alto,

61[

, 4), 14 ++)

, 0]

731 d -dx ,

n

f(x) = (^) 3x + (^7) (^3) - 13x

  • (^7) 3x +^ 3h^ +^ 7 - 3x -^7
  • h & h

s 71(x) = (Ex)x

2x -^1

. X 1 ya [0(y)

S Xz 0 ① 0 XL

  • Y f(0) 73 m

f(x f(x) =^ 3x^

  • (^) (3x17)

h) 10th

  • 3x #Ih-ex (^) =

83/

ofIzG ,

I

of