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Thepotemich [5.8K]
2 years ago
6

If

Mathematics
1 answer:
Elena L [17]2 years ago
3 0

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

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Solve for e.<br><br> 4/3=-6e-5/3
cricket20 [7]

Answer:

e = 1/2

Step-by-step explanation:

to solve foe e in  this 4/3=-6e-5/3

solution

4/3=-6e-5/3

4/3 + 5/3 = 6e

find the lcm of the left hand side

4 + 5/3 = 6e

9/3 = 6e

cross multiply

3 x 6e = 9 x 1

18e = 9

divide both sides by the coefficient of e which is 18

18e /18 = 9/18

e = 1/2

therefore the value of e in the expression above is evaluated to be equals to 1/2

5 0
3 years ago
What is the quotient of 2/3 divided by 4 in simples form
Alex17521 [72]

Step-by-step explanation:

Quotient of 2/3 divided by 4

= (2/3) / 4

= 2/12

= 1/6.

3 0
2 years ago
Read 2 more answers
Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vert
puteri [66]

The volume of the pyramid is 2496 cu.m.

<h3>What is a Pyramid ?</h3>

A pyramid is a three dimensional structure which has a polygon base and  in general triangular faces which join at the top .

It is given that

A pyramid \rm frustum has a 4 m by 4 m square top

Height = 12 m

Base = 20 m

The volume of a square pyramid with a  \rm frustum is given by

V = (1/2) * ( Area of base + Area of  \rm frustum ) * height of the  \rm frustum from the base

V = 0.5 * ( 20 *20 + 4*4 ) * 12

V = 2496 cu.m

The volume of the pyramid is 2496 cu.m.

To know more about Pyramid

brainly.com/question/13057463

#SPJ1

8 0
2 years ago
Which of the following conversion ratios would you use to convert 780 mm to centimeters?
Westkost [7]
D. 1mm/10cm is the correct answer choice.
3 0
3 years ago
does it matter which side you use as a base of a triangle when finding the area of a triangle. Explain, why,
AleksAgata [21]
Yes very because if you use the wrong one your whole formula will turn out wrong
8 0
3 years ago
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