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solmaris [256]
3 years ago
10

I need some help with this calculus question

Mathematics
1 answer:
Over [174]3 years ago
3 0

The tangent to y at the point (0, 5) has a slope equal to the derivative evaluated at x=0.

y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5

This tangent passes through the point (0, 5), so its equation is

y-5=5(x-0)\implies y=5x+5

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5

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Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches
DanielleElmas [232]

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = \frac{1}{3}\pi r^{2}h

As given,

V = 9\pi

⇒\frac{1}{3}\pi r^{2}h = 9\pi \\  \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

8 0
3 years ago
PlEaSe HeLp Me !!!!!!!!!!!!!!!!!!!!!!!!!!!!
goblinko [34]

Answer:

I think its A or D

Step-by-step explanation:

1/18 SORRY IF IM WRONG

please mark brainliest

4 0
3 years ago
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Please helpppppp
creativ13 [48]

Let's first take a look at function G. From the first to second row, the x-value increases by 2, and the y-value increases by 8.

Thus, function G has a rate of change of 8/2, or 4.

In function H, there is a "2" before the "x", which means function H has a rate of change of 2.

Thus, the statement that is true is:

  • Function G has a rate of change of 4, and function H has a rate of change of 2

Let me know if you need any clarifications, thanks!

~ Padoru

8 0
3 years ago
Read 2 more answers
Anais bought yards of ribbon. she had feet inches of ribbon left after trimming some curtains. how many inches of ribbon did ana
castortr0y [4]

<u>Anais bought </u><u>2 1/2 yards</u><u> of ribbon. She had </u><u>2 feet 8 inches</u><u> of ribbon left after trimming some curtains. Anais uses 58 inches of ribbon to trim the curtains.</u>

What is Unit Conversion?

  • Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion.
  • The units are expressed using scientific notation and converted into numerical values as per the quantities.

Anais bought 2 1/2 yards of ribbon.

And she had 2 feet 8 inches left after trimming some curtains.

The first thing to do is to convert all units to inches;

From standard conversion rate.

1 yard  = 36 inches

As such  2 1/2 yards of ribbon in inches will be:

= 2 1/2 × 36 inches

= 5/2 × 36 inches

= 5 × 18 inches

= 90 inches of ribbon bought.

Similarly, since 1 foot  = 12 inches.

The amount of curtains left after trimming is:

= ( ( 2 × 12 ) + 8 )inches

= (24 + 8) inches

= 32 inches

If Anais bought 90 inches of ribbon and she had 32 inches of ribbon left after trimming some curtains.

It implies that the number of inches of ribbon that Anais used is:

= 90 inches - 32 inches

= 58 inches

Therefore, we can conclude that Anais used 58 inches of ribbon.

Learn more about  Unit Conversion

brainly.com/question/2495501

#SPJ4

<u>The complete question is-</u>

Anais bought 2 1/2 yards of ribbon. She had 2 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?

Anais used _____ inches of ribbon.

6 0
1 year ago
What equation is equal to<br> 3/8 less than a number is 11
PtichkaEL [24]

Answer:

11=x-\frac{3}{8}

5 0
3 years ago
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