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2 years ago

Can anyone help me with a CALC problem

Mathematics

1 answer:

Taya2010 [7]2 years ago

8 0

A) The function f+g is just the sum of the 2 functions f and g.
The derivative of f+g is also just the sum of the derivatives.

So to find slope of new tangent line, you find sum of the slopes for f and g.
---> m = 2+2 = 4

The point on new curve is (4, f(4)+g(4)) -----> (4,17)

The equation of tangent line is then:
y - 17 = 4(x -4)
y = 4x + 1

b) and c) are done the same way. f-g means subtract slopes.
2f means double slope etc...

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Which model represents −8 + 3

pychu [463]

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2 years ago

I get

dybincka [34]

Answer:

Absolute minimum = 1.414

Absolute maximum = 2.828

Step-by-step explanation:

$g(x,y)=\sqrt {x^2+y^2} \ constraints: 1\leq x\leq 2 ,\ 1\leq y\leq2$

For absolute minimum we take the minimum values of $x$ and $y$ .

$x_{minimum} =1\\y_{minimum}=1\\$

Plugging in the minimum values in the function.

$g(1,1)=\sqrt {1^2+1^2}\\g(1,1) = \sqrt{1+1}\\g(1,1)=\sqrt {2}\\g(1,1)=\pm 1.414\\$

Absolute minimum value will be always positive.

∴ Absolute minimum = 1.414

For absolute maximum we take the maximum values of $x$ and $y$ .

$x_{maximum} =2\\y_{maximum}=2\\$

Plugging in the maximum values in the function.

$g(2,2)=\sqrt {2^2+2^2}\\g(2,2) = \sqrt{4+4}\\g(2,2)=\sqrt {8}\\g(2,2)=\pm 2.828\\$

Absolute maximum value will be always positive.

∴ Absolute maximum = 2.828

3 0

3 years ago

Write the following in standard form: (x-4)^2 = 49

Korolek [52]

Answer:

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2 years ago

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from

Rus_ich [418]

Revenue = price * number of backpacks
number of backpacks = -2p + 50

p = 9 ; -2(9) + 50 = -18 + 50 = 32
revenue = 9 * 32 = 288

p = 12 ; -2(12) + 50 = -24 + 50 = 26
revenue = 12 * 26 = 312

<u>p = 12.50 ; -2(12.50) + 50 = -25 + 50 = 25</u>
<u>revenue = 12.50 * 25 = 312.50</u> GIVES THE MAXIMUM REVENUE

p = 15 ; -2(15) + 50 = -30 + 50 = 20
revenue = 15 * 20 = 300

8 0

3 years ago

Read 2 more answers

If g(x)=3x-1 and if g(a)=7 what is the value of a?

Ierofanga [76]

Answer:

a = 8/3

Step-by-step explanation:

3a - 1 would equal 7

3a = 7 + 1

3a = 8

a = 8/3

6 0

2 years ago