11/02/21
Optimization Problems
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $20 per square meter. Material for the sides...
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Related Rates A plane flies at a speed 500 km/hr at a constant height of 12 km.
A plane flies at a speed 500 km/hr at a constant height of 12 km. How rapidly is the angle of elevation to the plane changing when the plane is directly above a point 110 km away from the...
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10/30/21
Help with a certain polar equation rule
So I know x=rcos(theta) and y=rsin(theta). I was wondering if x^2=r^2cos^2(theta) is true? or is this incorrect and not be used to help me convert a polar equation to rectangular form.
Can any help me please? A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.
(a) How much wire should be used for the square in order to maximize the total area?(b) How much wire should be used for the square in order to minimize the total area?
10/29/21
Find an equation of the line perpendicular to the graph of F(x)=f(x)+3x2−g(x) at x=1 .
Assume the functions f and g are differentiable functions, with f(1)=6 , f′(1)=−2 , g(1)=−1 and g′(1)=3 .
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x^2 + 5x + 4, [−1, 1]
options:
No, f is not continuous on [−1, 1].
Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
Yes, f is continuous on [−1, 1]...
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10/21/21
Are the phrases "this is interesting to do" and "Doing this interests me" and "I am interested in doing this"the same?
please I just wanted to know
10/21/21
Consider the function f ( x ) = 5 x 3 − 5 x on the interval [ − 2 , 2 ] . Find the average or mean slope of the function on this interval.
Consider the function f(x)=5x3−5x on the interval [−2,2]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the...
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10/21/21
f ( x ) = 2 x 3 − 42 x 2 + 240 x + 11
The function f(x)=2x3−42x2+240x+11 has one local minimum and one local maximum.This function has a local minimum at x equals with value and a local maximum at x equals with value
10/19/21
Let f ( x ) = ln ( x 8 ) in the interval [1,6]. Determine the value(s) of 'c' that satisfy the Mean Value Theorem for this function in the given interval.
Let f(x)=ln(x8) in the interval [1,6]. Determine the value(s) of 'c' that satisfy the Mean Value Theorem for this function in the given interval.
10/18/21
Number of quarters and dimes equals
A man has 22 coins in his pocket, all of which are dimes and quarters. If the total value of hischange is 370 cents, how many dimes and how many quarters does he have?Your answer isnumber of dimes...
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Help needed with math question
1.Given s = t4 − 4t3 − 20t2 + 15t, where t ≥ 0, at what time is the acceleration 0?2.Given: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in...
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Restricted domain
If the domain of the original function f(x)=x^2+4x-6 was restricted to the left side of the axis of symmetry, what is the correct equation of the inverse? What about the right side and it’s...
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10/15/21
Applications of Maxima and Minima Problems
Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be as large as possible. Find the lengths of the sides of an isosceles triangle with a given...
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10/15/21
sin(alpha + beta) / sin(alpha) cos(beta) = 1 + cot(alpha) tan(beta), Establish the identity
if you use a certain formula to get an answer please show which formula you use so I know how you got a specific answer, thank you!
10/12/21
Tangents and Implicit Differentiation
1. Tangents and Implicit Differentiation. Analyze the graph of y^3 - 3y = x^2 -2x - 1 a) Algebraically find the coordinates of two points on the graph with y =1 b) Use implicit...
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10/10/21
Coordinate Geometry with Tangency
Find the Equation of the circle which is tangent to the x and y-axis and the line 3x+4y=12 at the point (1.6,1.8)
10/10/21
Let f(x)=2−x/1+x. Determine the y-intercept of the tangent line to the graph of f at the point (1, f (1)).
Let f(x)=2−x/1+xDetermine the y-intercept of the tangent line to the graph of f at the point (1, f (1))
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