"<span>Curve passes through the point (0,8) and has the property that the slope of the curve at every point pp is four-times the y-coordinate."
Slope of tangent line at a given point = value of derivative of function at that point.
Thus, dy/dx = derivative = 4y
Thus, dy/dx = 4y. Rearrange this with all y on one side and all x on the other:
dy
--- = 4dx
y
Integrating both sides, we get ln|y| = 4x + ln C, or ln|y| - ln C = 4x
|y|
Then ln -------- =4x. This can be written as an exponential function:
C
|y|
--- = e^(4x). Thus, |y| = C*e^(4x). Given that this curve passes thru (0,8),
C
8 = C*e^0, so C = 8. Then the function question is y = 8e^(4x).</span>
Ok, -24+36w=48 (You have to add 24 to both sides because it's a negative!)
+24 +24
----------------------------------- (Then you add!)
36w=72
------------------------------(Then you divide by 36!)
36 36
w=2! Hope it helps! :)
Answer:
To find out how much area he will paint, you will find the area of all 6 faces.
Each face is in the shape of a rectangle, so use A = lw as your formula.
Front/Back: 80 x 36 = 2880 square inches
2880 square inches x 2 = 5760 square inches
Right/Left Sides: 80 x 2 = 160 square inches
160 square inches x 2 = 320 square inches
Top/Bottom: 36 x 2 = 72 square inches
72 square inches x 2 = 144 square inches
5760 + 320 + 144 = 6224 square inches.
Cody will paint 6224 square inches.
Hope this helps!
-The polynomial has 5 terms.
-The leading coefficient is -2.
-The degree of the polynomial is 7.
-The constant term is 4.
Step-by-step explanation:
A polynomial is an expression which has many terms. Each term is separated by addition or subtraction. The standard form of a polynomial is and is written in descending order by exponent. The highest exponent is known as the degree of the polynomial. The leading term at the beginning has a leading coefficient.
Using the information above, select what applies for -2xy^5+3x^7-10x^3y^6+8x^6+4.
-The polynomial has 5 terms.
-The leading coefficient is -2.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.