Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,
• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
Answer
The equation of the tangent line to f(x) and x = 3 is:
Answer:
2x2+9x−1=x
Step 1: Subtract x from both sides.
2x2+9x−1−x=x−x
2x2+8x−1=0
Step 2: Use quadratic formula with a=2, b=8, c=-1.
x=
−b±√b2−4ac
2a
x=
−(8)±√(8)2−4(2)(−1)
2(2)
x=
−8±√72
4
x=−2+
3
2
√2 or x=−2+
−3
2
√2
Step-by-step explanation:
This is what I got but I'm not 100% positive. I checked it on a calculator and it seemed to check out.
False; consider as a counterexample the function <em>f</em> : ℝ→ℝ defined by
Clearly <em>f</em> approaches -3 as <em>x</em> gets closer to -2, but neither limit from either side is equal to the function's value at <em>x</em> = 2 (that is, -3 ≠ 0), so <em>f</em> is not continuous.
In the event that you are asking to devide parts, we will use the equation
·X+X²=Y
We Plug in our parts
·4x+1x=5x(Y)
We then substitute
·4x+1x=250(5x)
Then we devide Y(250) by the number of parts total.
·5 parts total.
·250/5=50
·1 part=50.
Next we substitute.
·200(4)+50(1)=250(5)
-In conclusion your answer is 50£:200<span>£, i hope this is the answer you are looking for, feel free to post your questions here in brainly in the future.</span>
a[n] = 7n - 16
The fifth term is a[5]
a[5] = 7(5) - 16 = 35 - 16 = 19
Answer: C. 19
