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.
Answer:
He paid 80 at the start, so his starting must have been 80
Step-by-step explanation:
80+40=120...
so either 0, or 80 because he owed nothing, or he owed the 80, then the 40 for medication
I hope this helps!
Answer:
Width =15
Length =33
Step-by-step explanation:
Take width as x
And length as 2x+3
Perimeter as 96
Formula of the perimeter of a rectangle is 2l+2w
X+×+2×+3+2×+3=96
6x+6=96
6x=96-6
6×=90
X=15
Width =x and x =15 so width =15 while length =33
Answer:
18.28 m
Step-by-step explanation:
Given the flower garden in the question :
The shape is composite and can be divided into 2 semicirles and rectangle
The perimeter of a semicircle is the Circumference of the semicircle = πr
Hence, 2 semicirles = 2πr
Radius of semicircle = 2/2 = 1
Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m
The perimeter of rectangle; length and width are 6m and 2 m respectively :
Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m
Tve perimeter of garden = 6.28 + 12 = 18.28 m
Answer:
B
Step-by-step explanation: