Given:
The equation of the curve is:

To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,

Differentiate the given equation with respect to x.


Now we need to find the value of this derivative at (2,7).




Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
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Answer:
Area of triangle RST = 95 in² (Approx)
Step-by-step explanation:
Given:
Side a = 22 in
Side b = 13 in
Perimeter = 50 in
Find:
Area of triangle
Computation:
Side c = Perimeter - Side a - Side b
Side c = 50 - 22 - 13
Side c = 15 in
Heron's formula:
s = Perimeter / 2 = 50 / 2
s = 25 in
Area of triangle = √s(s-a)(s-b)(s-c)
Area of triangle = √25(25-22)(25-12)(25-15)
Area of triangle = √25(3)(13)(10)
Area of triangle = 5√390
Area of triangle = 5 × 19(approx)
Area of triangle RST = 95 in² (Approx)
Answer:
10x
Step-by-step explanation: