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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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In a right triangle, the hypotenuse has endpoints P(–3, 2) and Q(1, –3). On a coordinate plane, line P Q has points (negative 3,
mrs_skeptik [129]

Answer:

The length of PR is 5 units

Step-by-step explanation:

Here, we want to calculate the length of PR

Since PQ is the hypotenuse, it means that the right-angle would be between lines PR and RQ

Also, since R is on the third quadrant, then its coordinates are (-x,-y)

To get the coordinates of R since we know that we need a right angle, we drop a straight vertical line through P and a straight horizontal line through Q

What this mean is that the coordinates of R will take the x-coordinate of the point P and the y-coordinate of the point Q

Hence, we have that the coordinates of the point R is (-3,-3)

Now, we want to calculate the length of PR

PR will be the distance between the points P and R

Mathematically, to get this, we use the distance formula

That will be;

√(y2-y1)^2 + (x2-x1)^2

Thus, we have

√(2-(-3)^2 + (-3-(-3))^2

= √5^2 + 0^2

= √25 = 5 units

4 0
3 years ago
Read 2 more answers
John earns a point on 75% of his free-throw tries during basketball practice. If John takes 76 free-throw shots during practice,
Lynna [10]
John earned 57 points
5 0
3 years ago
Read 2 more answers
Please help me with these factoring problems. Please help me solve. I can't do these!!
aleksley [76]
Simple...

you have: 

1.) -8x-16  --->>>

Factor out a -8 -->>

-8(x+2)

2.)9d+15db --->

Factor out 3d -->

3d(3+5b)

3.) 2a-9ax-->>

Factor out -a -->

-1a(9x-2)

Thus, your answer.
3 0
3 years ago
Please answer with a detailed explanation.
Alecsey [184]

From a tee box that is 6 yards above the ground, a golfer hit a ball. The Domain of the function is [0,230].

Given that,

In the picture there is a question with a graph.

From a tee box that is 6 yards above the ground, a golfer hit a ball. The graph displays the height of the golf ball above the ground in yards as a quadratic function of x, the golf ball's horizontal distance from the box in yards.

We have to find the domain of the function in the situation.

The domain is nothing but All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

The domain of a graph is every value in the graph, from left to right. The graph's entire range, from lower to higher numbers, represents the range.

Therefore, the Domain of the function is [0,230].

To learn more about domain visit:

brainly.com/question/28135761

#SPJ1

5 0
1 year ago
Y-3x=-4<br> 2x+y=11<br> Solve each system of equations by using a table
aniked [119]

first u need the value of any one variable

5 0
3 years ago
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