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Verizon [17]
3 years ago
10

Find the equation of the tangent plane to (a) z = 4x 2 − y 2 + 2y at (−1, 2, 4)

Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0
 cuase it would be eaiser 
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How do i solve using the substitution method?<br> x+y=-1 <br> y=-2x
leonid [27]

Answer:

(1, -2)

Step-by-step explanation:

<u>Step 1:  Set the second equation into the first </u>

x + (-2x) = -1

x - 2x = -1

-x / -1 = -1 / -1

x = 1

<u>Step 2:  Solve the second equation </u>

y = -2(1)

y = -2

Answer:  (1, -2)

4 0
3 years ago
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9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
gladu [14]

Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

Hence, a) (176.76,172.24), b) 0.976.

8 0
3 years ago
PLEASEEEE HELPPP I WILL MARK BRAINLESS JUST FOR HELPING ME PLSSSSS! …. Which number line represents the solution set for the ine
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Answer:

x≥3 but without the line under the symbol

Step-by-step explanation:

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2 years ago
If a diameter of a circular chapati is 14 cm what is it's area​
sashaice [31]

Answer:

diameter=14

radius =14/2=7

area =πr²

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hope it helps

<h3>stay safe healthy and happy.</h3>
3 0
2 years ago
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(-2)5 . (-2)3<br><br><br> Product of powers property
cupoosta [38]

Answer:

-2^{8}

Step-by-step explanation:

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3 years ago
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