Answer:
The area under the curve y = f(x) at x-axis, on the interval x E (5, ∞) is equal to 7.
Step-by-step explanation:
Solution
Given that:
f(x) = 7√x-5
The function of domain is:
D = x-5 > 0
x>5
so,
x← (5, ∞)
Now,
(1) The sequence root function is always known as positive, i.p defined from x E (5, ∞)
i.p =√x-5
Thus,
7/√x-5 >0
Therefore f(x) = 7/√√x-5 which is a positive integer, which is defined in domain x E (5, ∞).
Each value exist a real and unique values of f(x)
Now,
The function f(x) is continuous and over the interval(5, ∞)
Note: Kindly find an attached copy of part to the solution of this given question below
Since this is not a rational function (with undetermined values in the denominator), but just a normal expression, we can just substitute t with the value toward which the function is approaching. Since this is a continuous function, it doesn't matter from which side it's approaching 0. In this case, let t=0, then sin(4t)=0, cos(4t)=1, then -2 sin^2(4t)+2tcos(4t)=0.
Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
Answer:
D
Step-by-step explanation:
In order to solve this we need to plug in the answer choices and make sure they work for BOTH answers!
Let us start with option A. (6,3) 3 = 4(6) + 6 = 3 = 30 This is automaticly wrong because 3 doesnt equal 30. There is no need to try it on the second equation since the first one was wrong.
Next answer choice, B (3,6) 6 = 2(3) = 6=6. The second equation works perfect for this. Now we have to make sure that it works for the first one as well. 6 = 4(3) + 6 = 6 = 18 which is wrong.
Next, C. (1,2) 2 = 2(1) = 2=2 Right now lets check the other equation.
2 = 4(1) + 6 = 2=10. Wrong
Last, D. (-3, -6) -6 = 2(-3) = -6 = -6 Right now lets check the other equation.
-6 = 4(-3) + 6 = -6 = -6. CORRECT. Answer choice D works for both equations.
Sorry for the wait of response.
