Step-by-step explanation:
K is an upper bound for│f"(x)│on the interval [0, 1], so x ≤ 1.
Sine and cosine have maximums of 1, so an upper bound of │f"(x)│is:
│f"(x)│≤ (76 · 1 + 152 · 1 · 1)
│f"(x)│≤ 228
Answer:
Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:
Required
Solve for a, b and c
So, we have:
Subtract 1 from both sides
Apply Pythagoras Theorem
Substitute 3 + 3b for a and 4 + 3b for c
Open brackets
Collect Like Terms
Expand
Factorize:
Split:
But the adjacent of a triangle can't have a negative measurement.
So:
Recall that:
Substitute 7 for b in the above expressions
Hence, the dimensions of the triangle are:
Find the square root of both sides
√y²= √(144/169)
y= √144 / √169
y= 12/13
Final answer: y=12/13
Answer:
626.7
Step-by-step explanation:
Consider the figure as a circle with radius 7.5 and a rectangle with width 30 and length 15.
CIRCLE
A = pi*r*r = pi*7.5*7.5 = 56.25pi =176.7
RECTANGLE
A = l*w = 15*30 = 450
176.7 + 450 = 626.7
Answer:
Judah's hourly wage is $7/hr.
Step-by-step explanation:
x = (86 + 12)/14
x = 98/14
x = 7