We will use <span>y-y1=m(x-x1), where m= f '(x)= 4x^3e^-x - x^4e^-x, f ' (1) =3e^-1
</span>f (1) =4e^-1
so the equation of tangent line tothe curve at the point <span>(1,1/e) is
y= </span>3e^-1(x-1) + 4e^-1, or y= 3e^-1(x)) + e^-1,
A. The probability is 1/36. There are 36 combinations of the first and second dice and only one of them is 2 - 4s.
B. 10/36. Ten of the options contain exactly 1 - 4.
C. The remaining 25/36 options do not include a 4.
Answer:
$83.04
Step-by-step explanation:
1. Add up all the prices (49.99, 13,99, 13.99) = 77.97
2. Tax is 6.5% (.065 in decimal form)
3. Multiply 77.97 * .065 = 5.06805
4. 5.06805 rounds to 5.07
5. Add the total purchase (77.97) to the tax (5.07) = 83.04
Answer:
B. 5 is the input
Step-by-step explanation:
f(x) = 4x + 3 f(5) = 23 Plug in 5 for x.
f(x) = 4(5) + 3
f(x) = 20 + 3
f(x) = 23
B. 5 is the input
Answer:
w= A / l
Step-by-step explanation:
A = lw
Where,
A= Area of a rectangle
l= Length of a rectangle
w= width of a rectangle
Area of a rectangle = length × width
Solve the formula(equation) for width(w).
A= lw
Divide both sides by l
A / l = lw / l
A / l = w
Width = Area of the rectangle / length of the rectangle
Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.
A= 12 square inches
l= 6 inches
w= x inches
A= lw
w= A / l
= 12 / 6
= 2
w = 2 inches
