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REY [17]
3 years ago
10

(3x^2-29z+56) ÷(z-7)

Mathematics
1 answer:
ozzi3 years ago
3 0
Is this a multivariate function
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Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers
Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0
3 years ago
How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
Find the probability of rolling a prime number on the first die and even number on the second
Zinaida [17]

Answer:

0.25

Step-by-step explanation:

Prime outcomes on a die: 2,3,5

P(prime) = 3/6 = 1/2

Even outcom: 2,4,6

P(even) = 3/6 = 1/2

P(prime & even)

= P(prime) × P(even)

= ½ × ½

= ¼ or 0.25

4 0
3 years ago
Which is more precise 42.7 cm or 427.0 mm
notsponge [240]
427.0 mm is more precise.
feel free to ask any questions
3 0
4 years ago
Number of plane surface in a matches box​
DanielleElmas [232]

Answer:

The answer is 6

Step-by-step explanation:

Same as plane surfaces on a regular cuboid

7 0
3 years ago
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