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sladkih [1.3K]
3 years ago
7

Let f be continuous on [0, a] and differentiable on (0, a), Prove that if f(a)=0 then there is at least one value of x in (0, a)

, such that f(x)= -xf'(x).(5marks) (%4h) 4

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

See picture attached

Step-by-step explanation:

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Susan Marciano invested part of her 19000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a
ioda

The amount invested at 11% is ​$5,000

The amount invested in stock is ​$14,000

What is the net profit on both investments?

The profit of each investment is the rate of return or loss multiplied by the amount invested

Let us assume that x was invested at 11% and the remaining 19000-x was invested at a loss rate of 3%

net profit=(11%*x)+(19000-x)*-3%

net profit=130

130=(11%*x)+(19000-x)*-3%

130=0.11x-570+0.03x

130=0.14x-570

130+570=0.14x

700=0.14x

x=700/0.14

x=$5,000

Amount invested in stock=19000-x

Amount invested in stocks=19000-5000

Amount invested in stocks=$14,000

Find out more about combined investments on:brainly.com/question/2166053

#SPJ1

8 0
1 year ago
Find the missing values of the variables. The diagram is not to scale. Show steps
earnstyle [38]

Step-by-step explanation:

i assume this is the question you asked me to look at.

Well, angle 116° and y are supplementary angles

therefore,116°+y=180°

y=180°-116°=64°

Now to find x

x+y+125+72=360°

x+64+125+72=360

x+261=360

x=360-261=99°

5 0
3 years ago
12. If n(A) = 14, n(B) = 15, and n(<br>AB) = 6, then n(AUB) is<br>​
motikmotik

Answer:

given n(A) = 14

n(B) = 15

n(A∩B ) = 15

Step-by-step explanation:

now we know that ,n(AUB) = n(A)+n(B)-n(A∩B)

n(AUB) = 14+15-6 = 23.Answer

3 0
2 years ago
Read 2 more answers
a construction crew Must build 4 miles of road in one week on Monday they build 1/2 mile of road in one week on Tuesday they bui
NNADVOKAT [17]
To solve this, you need to make the amount they built on Monday and the amount they built on Tuesday compatible with each other so you can add them together to subtract that amount from 4.

Start by multiplying 1/2 by 3, and 1/3 by 2.

This gives you 3/6 and 2/6. Now add them together:

3/6 + 2/6 = 5/6

Finally, subtract this amount from 4:

4 - 5/6 = 3 1/6 (19/6 works too)

Hope this helps! :)

6 0
3 years ago
Read 2 more answers
5+5-6+10-100 what is the answer
timama [110]

Answer:

-86

Step-by-step explanation:

5+5=10

10-6=4

4-100=-86

5 0
2 years ago
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