Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>
Supplementary angles add up to 180°
Angle y is the large angle: y= 5x+6
180= x+y
180= (5x+6) + x
180=6x+6
174=6x
x=29
180= y+29
y=151°
13 1/4 is the answer
9 7/8 + 3 3/8
12 10/8
13 2/8
13 1/4 (simplified)
Answer:28
Step-by-step explanation:
7+7+7+7
Answer:
Length = 49.5 unit and width = 49.5 unit
Step-by-step explanation:
Given as , Perimeter of rectangle = 198 unit
so ,as Perimeter of rectangle = 2× ( Length + width)
Or, 198 = 2 × (Length + width)
Or, = length + width
So, length + width = 99 unit
Now to make area maximum
Length × width = maximum
Or, (99 - width ) × width = maximum
99 Width - width² = maximum Let width = W
Now differentiate both side with respect to W
D(99W - W²) = 0 as, constant diff is 0
So, 99 - 2w = 0
Or, w =
Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer