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Mars2501 [29]
2 years ago
14

Second derivative test for: y= e^x (x^2 -7x +13)

Mathematics
1 answer:
garik1379 [7]2 years ago
4 0
First derivative is e^x(x^2-7x+13)+e^x(2x-7)
Which can be simplified to e^x(x^2-7x+13+2x-7)
Second derivative is e^x(x^2-5x+6)+e^x(2x-5)
Which then can be simplified to e^x(x^2-3x+1)
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He spend one hour and twenty five minutes (1:25)
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Math question need answer ASAP
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B) In triangles ABC and ABD, one side and one common angle are equal
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Your class is learning to tie knots. Each student needs a piece of rope that is 38 yard long. How many yards of rope are needed
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Read 2 more answers
Factor the expression below 36a2-25b2 which binomial is factor of the expression
Serhud [2]

Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

brainly would epic!

7 0
3 years ago
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Brian deposits $7000 into an account that pays simple interest at an annual rate of 3%. He does not make any more deposits. He m
Andre45 [30]

Answer:

A)1050

B)8050

Step-by-step explanation:

to find interest we use the formula A= P(1+rt) where P is the initial investment, r is the rate percent, and t is the time interval

for this question we have A=7000(1+3(5)) which gives 8,050 dollars which is the answer to part B

for part A we simply subtract the answer from B from the initial investment so 8050 - 7000 = 1050 made from interest

4 0
2 years ago
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