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Butoxors [25]
3 years ago
12

Find the equation of the line tangent to the graph at y=e^x at x =a

Mathematics
2 answers:
KatRina [158]3 years ago
6 0

Answer: Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line

Step-by-step explanation:

kaheart [24]3 years ago
3 0

Answer:

find derivative of function

sub in x value of point to find gradient of tangent

put gradient into y=(gradient)x+c

Sub in point and solve for c

you have found the equation of the tangent.

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What are the characteristics of a quadrilateral?
gregori [183]

Answer:

Most known one: 4 sides

Step-by-step explanation:

They are closed shapes, their sides should be straight, they are strictly 2 dimensional, and finally, all quadrilaterals have 4 sides.

8 0
2 years ago
What is x in 5x +(3-1)=12
olga2289 [7]

Answer:

x=2

Step-by-step explanation:

5x +(3-1) =12

5x +2 =12

5x =12-2

5x =10

x =10÷5

x =2

5 0
2 years ago
Please help me this is due in less than 45 minutes!
Natasha_Volkova [10]

Answer:

1.) It's 20th century painting

2.) 0.5 probability

Step-by-step explanation:

If the universal = 60

We need to first get the value of X. That is,

x (x - 2) + x + 2x + 8 + 10 = 60

First open the bracket

x^2 - 2x + x + 2x + 8 + 10 = 60

x^2 + x + 18 = 60

x^2 + x - 42 = 0

Factorise the above equation

x^2 + 7x - 6x - 42 = 0

x (x + 7) -6(x + 7) = 0

x = 6 or - 7

Since x can't be negative, so we will ignore -7

The value for T = 6(6 - 2) = 6×4 = 24

The value for B = 2(6) + 8 = 12 + 8 = 20

If a painting is chosen from random,

If it's from 20th century, the probability will be 34/60 = 0.567

If it's from British painting, the probability will be 30/60 = 0.5

We can therefore conclude that it's from 20th century painting since it has higher value of probability.

The the probability of choosing a British painting will be 30/60 = 0.5

5 0
3 years ago
The lot is 48 feet wide.<br> The dividers are each 2 feet wide.
ivann1987 [24]
The answer is 24 bc 48 divided by 2 equals 24
7 0
2 years ago
I'm having trouble figuring out how to find the right symbol for this problem √9=6 ? 3​
bearhunter [10]

Answer:

It's a - (minus) sign.

Step-by-step explanation:

This is because √9 is 3, and therefore 6-3=3.

Hope I helped :)

5 0
3 years ago
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