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pantera1 [17]
3 years ago
10

I NEED HELP QUICK!!!!

Mathematics
1 answer:
aivan3 [116]3 years ago
4 0
Just graph the points 
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Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.
Sliva [168]

Answer:

  • g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
  • A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

  g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

  g'(3) = 3² +7 = 16

  g(x) ≈ 16(x -3) -1

Then the points of interest are ...

  g(2.95) ≈ 16(2.95 -3) -1 = -1.8

  g(3.05) ≈ 16(3.05 -3) -1 = -0.2

__

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

4 0
3 years ago
For what value(s) of k is the linear system consistent? (Enter your answers as a comma-separated list.)
AleksAgata [21]

Answer:

Step-by-step explanation:

Given

6x_1-9x_2=8

9x_1+kx_2=-1

The given system is AX=B can be represented by

\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}

The given system is consistent when determinant of A is not equal to zero

|A|

|A|=6k-(-81)=6k+81

k\neq \frac{-27}{2}

i.e. system is consistent for all value of k except k=\frac{-27}{2}

R-\frac{-27}{2}

                 

4 0
3 years ago
Read 2 more answers
Indigo Depot is having a clearance sale of their fall items. A jacket that originally cost $110 before any discount is on sale f
Korvikt [17]

Answer:

$88.00

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 110 × 20/100

Discount = 110 x 0.2

You save = $22.00

3 0
2 years ago
Ms. Warren had each student take 3 pencils and create a triangle with them. Roberto has 3 pencils that measure 12 cm, 5 cm, and
cestrela7 [59]

Answer:

One.

Step-by-step explanation:

The reason why is because 12-5 = 7, meaning that your lowest length has to be 7. meaning, that you can only do one triangle.

7 0
3 years ago
Read 2 more answers
Consider the barn shown below. Assume that the barn has no floor. Part A: What is the volume of the barn?Part B: What is the sur
mafiozo [28]

Answer:

the volume is Pie X Y^-3= 6 + 7/2 which means the surface area is half of Pie/12

Step-by-step explanation:

i don't know there's no picture

6 0
3 years ago
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