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KIM [24]
3 years ago
5

Hi. I need help wih this question (see image). Please show workings.​

Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

\frac{dy}{dx} = 12x³ - 6x² - 7

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

Given

y = 3x^{4} - 2x³ - 7x + 5, then

\frac{dy}{dx} = 4.3x^{4-1} - 3.2x^{3-1} - 7x^{1-1} + 0

   = 12x³ - 6x² - 7

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The number of times the tires will have to spin is 24.9 times. How I got this was by finding the circumference, the equation in this case where pi is 3.14 is 3.14(2.1). That equals 6.594, then you divide 164 by 6.594 to get 24.87109 blah blah and you round that up to 24.9.
7 0
4 years ago
A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
3 years ago
Evaluate the function.<br><br> f(x) = x² - 4x – 12<br><br> Find f(-7)
pashok25 [27]

Answer:

Your answer is 65

Step-by-step explanation:

f(x) = x² - 4x - 12

f(-7) = (-7)² - 4 x (-7) - 12

= 49 - (-28) - 12

= 49 + 28 - 12

= 77 - 12

= <u>65</u>

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1 year ago
A Letter is Selected from the letters in the word ACCOMMODATION list all the possible types of outcomes
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You pick only one letter, so the possible outcomes are:
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O: 3/13

ans so on.
use your calculator to change each fraction to a decimal if needed. 
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4 years ago
Devin wants to use his 12% employee discount to buy a video game that is priced at $57.80. A 8.75% sales tax is applied to the d
lesantik [10]

Answer:

43.73

Step-by-step explanation:

use a calculater

5 0
3 years ago
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