CALCULATOR METHOD FOR ALL TOPICS ON MTH101 APART FROM SETS!!!

9jainfo.news.blog is pleased to bring to you another tutorial on MTH101 using calculator.

(4). Solve the equation (3X – 2) = 10
(a). 4 and -8/3 (b). 2 and -4/3 (c). -4 and 2/3
Choose any number in the option and if it gives zero as the answer then the option is correct.
Checking Option A
Make X = 4
Solution Using Casio fx991es
[ON] [4] [SHIFT] [STO] [X] [AC] [(] [3] [ALPHA] [X] [-] [2] [)] [-] [(] [1] [0] [)] [=]
In this case I tried plus it didn’t give zero as the answer then I tried minus and it gives zero as the answer therefore it is correct.
Make X = -8/3
Solution Using Casio fx991es
[ON] [-] [8] [÷] [3] [=] [SHIFT] [STO] [X] [AC] [(] [3] [ALPHA] [X] [-] [2] [)] [+] [(] [1] [0] [)] [=]
In this case I tried minus it didn’t give zero as the answer then I tried plus and it gives zero as the answer, Therefore Option A is correct.
You can go ahead and try other Option to see if it is correct.

(5). Find the solution set of the inequalities X² – 3X + 2 > 0
(a). 1 < X < 2 (b) -1 < X < -2 (c). -2 < X < -3
Choose any number in the option and if it gives zero as the answer then the option is correct.
Checking Option A
Make X = 1
Solution Using Casio fx991es
[ON] [1] [SHIFT] [STO] [X] [AC] [(] [ALPHA] [X] [X²] [-] [3] [ALPHA] [X] [+] [2] [)] [+] [(] [0] [)] [=]
In this case I used plus sign it gives zero as the answer and I used minus sign it still gives zero as the answer so both of them are correct.
Make X = 2
Solution Using Casio fx991es
[ON] [2] [SHIFT] [STO] [X] [AC] [(] [ALPHA] [X] [X²] [-] [3] [ALPHA] [X] [+] [2] [)] [-] [(] [0] [)] [=]
In this case I used plus it gives zero as the answer and I used minus it still gives zero as the answer, so you can use any of them both of them are correct as far as it gives zero as the answer. Therefore Option A is correct.

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CALCULATOR METHOD FOR SOLVING SEQUENCE AND SERIES

From all of us @9jainfo we wish to bring to you calculator method for Sequence and series

Calculator Technique for Arithmetic Progression
Problem: Arithmetic Progression
The 6 th term of an arithmetic progression is 12 and the 30th term is 180.
1. What is the common difference of the sequence?
2. Determine the first term?
3. Find the 52 nd term.
4. If the nth term is 250, find n.
5. Calculate the sum of the first 60 terms.
6. Compute for the sum between 12th and 37th terms, inclusive.

Put your calculator to Linear Regression in STAT mode:
MODE → 3:STAT → 2:A+BX and input the coordinates.
Among the many
STAT types, why A+BX ?
The formula a n = a m + (n – m)d is linear in n. In calculator, we input n at X column and a n at Y column. Thus our X is linear representing the variable n in the formula.
X (for n)= 6, 30
Y (for a n)= 12, 180

To find the first term:
AC → 1 SHIFT → 1[STAT] → 7:Reg → 5:y-caret and calculate
1y-caret , be sure to place 1 in front of y-caret.
1y-caret = -23 → answer for the first term.

To find the 52nd term, and again
AC → 52 SHIFT → 1[STAT] → 7:Reg → 5:y-caret and make sure you place 52 in front of y-caret.
52y-caret = 334 → answer for the 52nd term.
To find n for a n = 250,
AC → 250 SHIFT → 1[STAT] → 7:Reg → 4:x-caret
250x-caret = 40 → answer for n
To find the common difference, solve for any term adjacent to a given term, say 7th term because the 6th term is given then do 7y-caret – 12 = 7 for d. For some fun, randomly subtract any two adjacent terms like 18y-caret –
17y-caret , etc. Try it!
answer.Sum of Arithmetic Progression by Calculator

Sum of the first 60 terms:
AC → SHIFT → log[Σ] → ALPHA → )[X] → SHIFT → 1[STAT] → 7:Reg → 5:y-caret → SHIFT → )[,] → 1 → SHIFT → )[,] → 60 → )
The calculator will display Σ(Xy-caret, 1, 60) then press [=].
Σ(Xy-caret, 1, 60) = 11010 ←
answer
Sum from 12th to 37th terms,
Σ(Xy-caret, 12, 37) = 3679 ←
answer.

Another way to solve for the sum is to use the Σ calculation outside the STAT mode. The concept is to add each term in the progression. Any term in the progression is given by a n = a 1 + (n – 1)d. In this problem, a 1 = -23 and d = 7, thus, our equation for a n is a n = -23 + (n – 1)(7).

Reset your calculator into general calculation mode: MODE → 1:COMP then SHIFT → log .

Sum of first 60 terms:
Press shift log at the right top of Casio fx991es to bring out summation symbol, then input the values, at the top input 60 and your x=1 at the right hand side input these values (-23 + (ALPHA X – 1) × 7) = 11010
Or you can do
Press shift log at the right top of Casio fx991es to bring out summation symbol, at the top input 59 and your x=0 and at the right hand side input these values (-23 + 7 ALPHA X) = 11010
which yield the same result.
Sum from 12th to 37th terms
Press shift log at the right top of Casio fx991es to bring out summation symbol, at the top input 37 and your x=12 and at the right hand side input these values (-23 + (ALPHA X – 1) × 7) = 3679
Or you may do
Press shift log at the right top of Casio fx991es to bring out summation symbol, at the top input 36 and your x=11 and at the right hand side input (-23 + 7 ALPHA X) = 3679
which yield the same result.

Calculator Technique for Geometric Progression
Problem…………….

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BIOLOGY 101 PAST QUESTIONS AND ANSWERS

Questions

1.An organism is said to be……for a character if such character is maintained from one generation to the next

A)Homogynous

B)Heterogeneous

C)Dominant

D)Recessive

Answer;C

2.What are the fundamental tissue system of leaves called……?

A)Vascular bundles

B)Pith

C)Proparenchyma

D)Cortex

Answer;A

3.A cell is said to be isotonic if the…….and…….solutions have the same osmotic pressure

A)Turgor pressure and Cellulose

B)Haemolysis and flaccidity

C)Internal and external

D)None of the above

Answer;C

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The above questions are LAUTECH BIO101 Past questions and answers

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UPDATED MTH 101and BIO 101 PAST QUESTIONS AND ANSWERS

Questions

1.One of the roots of the equation 6y²=5-7y

A)-1/2

B)-1/3

C)5/3

D)1/2

Answer;D. (Use calculator directly)

2.The equation whose roots are y=7 and y= -2

A)y²+2y-7=0

B)y²+5y+14=0

C)y²-2y+7=0

D)y²-5y-14=0

Answer;D

3.The quadratic equation

y²-(k-2)y+2k+1=0 has equal roots,valued of k are?

A)1,2

B)12,0

C)4,5

D)3,4

Answer:B

4.If the equation px²-6x+1=0 has equal roots,the value of p is

A)9

B)6

C)7

D)2

Answer; A

5.The positive root of the equation 4x²+7x=1 correct to 3 decimal places

A)10.623

B)1.062

C)0.322

D)0.133

Answer:D

6.Find the greatest coefficient of (7+5x)^-3

A)0.0114

B)0.0014

C)0.1114

D)0.114

Answer:A (Shortcut method available for this question,contact us)

7.Find the constant term in the binomial expansion of (2x²-1/x)^6 using the binomial expansion

A)60

B)-60

C)64

D)240

Answer;A

8.Find the term in x² in the expansion of (x-1/2x)¹²

A)-99x²/4

B)99x²

C)9x²/4

D)198x²/4

Answer;A(Shortcut available)

9.Using the expansion of (1+8x)⁴=(1.04)⁴.What is the value of x?

A)0.5

B)0.005

C)0.05

D)0.0005

Answer:B

10.Find the value of x to be substituted in the expansion of (1+8x)⁴=(3√3/5)^8

A)0.1

B)0.01

C)0.001

D)0.0001

Answer: B

11.Given the sequence 5,1,-3……. which of the sequence is -75

A)20th

B)23rd

C)22nd

D)21st

Answer:D

12.What is the nth term of the A.P 12,5,-2?

A)7n-19

B)9n-7

C)7n-19

D)19-7n

Answer:D

The above questions and answers are LAUTECH Past questions and answers.

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Continue reading UPDATED MTH 101and BIO 101 PAST QUESTIONS AND ANSWERS

LAUTECH MTH 101 PAST QUESTIONS AND ANSWERS

Questions

1.In a class of 45 students,every students offers either phy or Bio or both.If 25 students offer Phy while 34 offers Boo,how many students offers both subjects?

A)20

B)15

C)11

D)14

Answer;D

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2.If P={3,1,0,5} Q={7,6,5} then P U Q U R is

A){3,8}

B){5}

C){1,2,3,4,5,6,7}

D){0,1,2,3,4,5,6,7,8}

Ans;D

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3.In a literal language A n B is obtained by…..

A)Coupling

B)Differentiating

C)Integrating

D)Selecting

Answer;D

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4.A set is a collection of …….

A)Functions.

B)Numbers

C)Objects

D)Points

Answer;C

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5.The word infinity is a

A)Real number

B(Complex number

C)An integer

D)Constant number

Answer;C

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6.The sets of complex numbers is denoted by

A)C

B)N

C)Z

D)I

Answer;D

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7.The set of compliment A’ are

A)Emtpty set

B)Finite set

C)Disjoint set

D)Infinite set

Answer;A

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8…….is a subsets of every sets

A)Infinite set

B)Disjoint set

C)Empty set

D)Finite set

Answer;C

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9.To say that a set A is equal is to say that the have the same

A)Figures

B)Objects

C)Numbers

D)Elements

Answer;D

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10.The sets of Natural numbers is denoted by

A)N

B)R

C)I

D)Z

Answer;A

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More questions on MTH101 $ BIO101 loading,stay tunned

The above questions are LAUTECH MTH101 past questions and answers.

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UPDATED LAUTECH CHM101 PAST QUES6TIONS

Due to many people pleading for more posts of past questions on CHM101 I have decided to publish some other questions.Read…………

1.The fraction of collision that brings about reaction is called…….

A)Energy collision

B)Effective collision

C)Collision factor

D)Frequency of collision

Ans;B

2.In a chemical reaction ,after 30s, 10moles from the initial concentration of 25moles of the reactant disappeared.The rate constant for the reaction is……

A)1.70×10^-²

B)1.20

C)3.05×10^-²

Ans;A

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3.A first order reaction is 40% complete after 20min the time taken for the reaction to be 65% complete is…….

A)35.02min

B)60.40min

C)0.025min

D)41.17min

Ans;D

4.What is the relative rate of diffusion for hydrogen molecules compared to those of oxygen molecules at the same temperature

A)4

B)2

C)6

D)8

Ans;A

5.The secondary quantum number determines the…….

A)Shape

B)Size

C)Energy

D)Shell

Ans;A

6.Inability of a scientists to judge color change correctly during acid base titration is an example of

A)Operative error

B)Personal error

C)Methodical error

D)Instrumental error

Ans:B

7.Solve the following and round off to the correct number of significant figures 5.61×7.891÷9.1

A)4.9

B)4.924

C)4.09

D)4.91

Ans;B(correct to 2 Sig fig)

8.A reducing agent does

A)Accepts electrons

B)Donates electrons

C)Donates proton

D)Donate a lone paid of electrons

Ans:D

9.The difference between an acid and its conjugate bases

A)Neutron

B)Proton

C)Positron

D)Electron

Ans;B

10.A temperature at which the water vapor present in the air is just sufficient to saturate it is called

A)Steam point

B)Dew point

C)Melting point

D)Ice point

Ans:B

The above questions are standard LAUTECH CHM101 Questions and answers.

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