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3 years ago

An equation of the line tangent to y=sin x + 2cosx at (pi/2, 1) is?

Mathematics

1 answer:

Lina20 [59]3 years ago

6 0

Answer:

B. 2x + y = pi + 1.

Step-by-step explanation:

y = sin x + 2 cos x

The slope of a line tangent is the derivative, so:

y' = cos x - 2 sin x

At (pi/2, 1) , substituting for x:-

cos pi/2 - 2 sin pi/2

= 0 - 2 * 1 = -2.

So the slope is - 2 and an equation can be found by using the point-slope formula:

y - y1 = m(x - x1) so:

y - 1 = -2(x - pi/2)

y = -2x + pi + 1

2x + y = pi + 1.

You might be interested in

Write the equation of the circle centered at (3, 5) and tangent to x = -1. I need help pleasse

Annette [7]

Answer:

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given (h, k ) = (3, 5 ) we require to find r

r is the distance from the centre to a point on the circle

given x = - 1 is a tangent the r is the distance between the x- coordinates

r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4

then equation of circle is

(x - 3)² + (y - 5)² = 4² , that is

(x - 3)² + (y - 5)² = 16

7 0

2 years ago

Please help me with this

levacccp [35]

Answer:

They weigh 1/6

Step-by-step explanation:

So what you do is Divide 1/4 bye 1 1/2 so that you can figure out how much 1 1/2 bags weigh and that equals 1/6

8 0

3 years ago

What is the value of f(3) in the function f(x)=5/6x+8

natita [175]

For this case we have a function of the form $y = f (x)$ , where $f (x) = \frac {5} {6} x + 8$

We must find the value of the function when $x = 3$ , that is, we must find f (3). So:

$f (3) = \frac {5} {6} (3) + 8\\f (3) = \frac {15} {6} +8\\f (3) = \frac {5} {2} +8\\f (3) = 2.5 + 8\\f (3) = 10.5$

So $f (3) = 10.5$

Answer:

$f (3) = 10.5$

3 0

3 years ago

Riley’s Rug Warehouse purchases rugs from the manufacturer for $82.00 each. The manager marks the rugs up 150% and then includes

Volgvan

A customer will pay $225.5 for one rug.

Step-by-step explanation:

Given,

Purchase price of rug = $82.00

Mark up = 150%

Amount of mark up = 150% of purchase price

Amount of mark up = $\frac{150}{100}*82$

Amount of mark up = 1.5*82 = $123

Price of rug after mark up = Purchase price + Mark up

Price of rug after mark up = 82+123 = $205

Sales tax = 10%

Amount of sales tax = 10% of price after markup

Amount of sales tax = $\frac{10}{100}*205=\$20.5$

Selling price = Price after markup + Amount of sales tax

Selling price = 205+20.5 = $225.5

A customer will pay $225.5 for one rug.

Keywords: percentage, markup

Learn more about percentages at:

#LearnwithBrainly

5 0

3 years ago

I need help with 29 c

Snowcat [4.5K]

The answer is b becuase my sister had that homework

7 0

3 years ago