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3 years ago

Use the lim f(x)-f(a)/x-a to find the derivative.

1 answer:

4 0

Hello,

f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)

lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11

Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11

at point(1,-7)

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How do I do this problem?

goldenfox [79]

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So to find the ration you have to do:

amount of thing: whole

so in this case it would be

12:24

which you can simplify

normally you'd simplify to 1:2 but that doesn't seem like an option so I'd go with the one closest to that ratio

4 0

3 years ago

Read 2 more answers

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PSYCHO15rus [73]

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5 0

3 years ago

A cookie recipe that yields 24 cookies requires 1 3/4 cups of butter. When the ingredients in this recipe are increased proporti

erik [133]

Answer:

5 1/4

Step-by-step explanation:

* is multiplication

1 3/4 is 1.75

24/1.75 = 72/×

1.75 * 72 = 24 * x

126 = 24x

24x = 126

x = 5.25 or 5 1/4

8 0

3 years ago

if the breadth of rectangle in one third of its length and perimeter is 80 cm find length and breadth of rectangle

LiRa [457]

Answer:

length = 30 cm

Breadth = 10 cm

Step-by-step explanation:

Length = x cm

Breadth = (1/3)x

Perimeter = 80 cm

2(length + breadth) = 80

2* (x + (1/3)x) = 80

$2*(\frac{3}{3}x+\frac{1}{3}x) = 80\\\\2*(\frac{4}{3}x) = 80\\\\\frac{8}{3}x = 80\\\\x = 80*\frac{3}{8}\\\\x = 10*3$

x = 30cm

length = 30 cm

breadth = $\frac{1}{3}*30=10$ cm

6 0

3 years ago

Find the coordinates of the endpoint of the image?

ra1l [238]

Given:

The graph of a line segment.

The line segment AB translated by the following rule:

$(x,y)\to (x+4,y-3)$

To find:

The coordinates of the end points of the line segment A'B'.

Solution:

From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).

We have,

$(x,y)\to (x+4,y-3)$

Using this rule, we get

$A(-2,-3)\to A'(-2+4,-3-3)$

$A(-2,-3)\to A'(2,-6)$

Similarly,

$B(4,-1)\to B'(4+4,-1-3)$

$B(4,-1)\to B'(8,-4)$

Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).

5 0

3 years ago