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2 years ago

12

Find the equation of the line tangent to the graph at y=e^x at x =a

2 answers:

KatRina [158]2 years ago

6 0

Answer: Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line

Step-by-step explanation:

kaheart [24]2 years ago

3 0

Answer:

find derivative of function

sub in x value of point to find gradient of tangent

put gradient into y=(gradient)x+c

Sub in point and solve for c

you have found the equation of the tangent.

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For which of the following compound inequalities is there no solution?

Bess [88]

Answer:

(a) $6m \le - 36$ and $m + 24 > 20$

Step-by-step explanation:

Required

Which of a to d has no solution

(a) $6m \le - 36$ and $m + 24 > 20$

We have: $m + 24 > 20$

Sole for m

$m >20 - 24$

$m >-4$

$6m \le - 36$

Divide by 6

$m \le -6$

So, we have:

$m \le -6$ and $m >-4$

$m \le -6$ implies that: m = -6,-7,-8,-9.....

$m >-4$ implies that m = -3,-2,-1,0.....

<em>Hence, there is no solution</em>

8 0

2 years ago

Please help me :)) i do not understand math lol

KiRa [710]

Answer:

i think the first one and thrid

Step-by-step explanation:

5 0

2 years ago

N^2- n - 12 = (n + 3)(___)

Nat2105 [25]

Answer:

n^2 - n - 12 = (n+3)(n-4)

Step-by-step explanation:

3 times - 4 = -12 ( two numbers when multiplied = -12, when added=-1)

3 + -4 = -1

4 0

1 year ago

A man spends 80% of his salary and saves the rest. He saves $1080 a month. Find his salary

raketka [301]

His salary is $5.400.00

7 0

2 years ago

Which coefficient matrix represents a system of linear equations that has a unique solution ?

finlep [7]

Answer:

Option C

Step-by-step explanation:

We are given a coefficient matrix along and not the solution matrix

Since solution matrix is not given we cannot check for infinity solutions.

But we can check whether coefficient matrix is 0 or not

If coefficient matrix is zero, the system is inconsistent and hence no solution.

Option A)

|A|= $\left[\begin{array}{ccc}4&2&6\\2&1&3\\-2&3&-4\end{array}\right] =0$

since II row is a multiple of I row

Hence no solution or infinite

OPtion B

|B|= $\left[\begin{array}{ccc}2&0&-2\\-7&1&5\\4&-2&0\end{array}\right] \\=2(10)-2(10)=0$

Hence no solution or infinite

Option C

$\left[\begin{array}{ccc}6&0&-2\\-2&0&6\\1&-2&0\end{array}\right] \\=2(36-2)=68$

Hence there will be a unique solution

Option D

$\left[\begin{array}{ccc}5&10&5\\4&1&4\\-1&-2&-1\end{array}\right] \\=2(10)-2(10)=0$ =0

(since I row is -5 times III row)

Hence there will be no or infinite solution

Option C is the correct answer

4 0

2 years ago

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