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Answer:
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Step-by-step explanation:
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<u>Answer:</u>
A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.
<u>Solution:</u>
We need to show that the gradient of the curve at A is 1
Here given that ,
--- equation 1
Also, according to question at point A (b+1,0)
So curve at point A will, put the value of x and y

0=b+1-c --- equation 2
According to multiple rule of Differentiation,

so, we get



By putting value of point A and putting value of eq 2 we get


Hence proved that the gradient of the curve at A is 1.
Answer:
- A) x > 3 and x < 2 has no solutions
Step-by-step explanation:
Given inequalities below and we are looking for a pair with no solution.
Let's verify:
A) x > 3 and x < 2,
- It has no solutions since the two inequalities have no common interval.
B) x > - 3 and x < - 2,
- Its solution is -3 < x < - 2, the interval between two given endpoints.
C) x > - 3 and x < 2,
- Similar to option B, the interval is between two endpoints:
D) x > - 3 and x > - 2,
- Its solution is x > - 2, the two inequalities cover almost same interval.