10/24/21

If the height of the pile is increasing at a rate of 2 inches per minute, how fast is the volume of the pile increasing when the height is 4 inches?

Tom Turkey was pleased to see his grain falling into a conical pile in the barnyard. Being the astute calculus turkey that he is, Tom noticed that the diameter of the base of the pile was always... more
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10/23/21

Let y be defined implicitly by the equation ln(8y)=2xy.
Let y be defined implicitly by the equation ln(8y)=2xy.Find the point on the curve where d^2y/dx^2=0. Please write your answer in the form (a,b)
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10/23/21

Problems Involving Conic Sections
1.   Find the standard equation of the hyperbola whose conjugate axis is on the directrix of the parabola y2 -5x+12y=-16, having the focus of the parabola as one of its foci, and the vertex of the... more
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10/22/21

An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet. How wide is the arch at the height 8 feet above the base?

An arch in the form of semi – ellipse is 50 feet  wide at the base and has a height of 16 feet. How wide is the arch at the height 8 feet above the base?
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10/21/21

Use trigonometric identities, algebraic methods, and inverse trigonometric functions, as necessary, to solve the following trigonometric equation on the interval [0,2π).

Round your answer to four decimal places, if necessary. If there is no solution, indicate "No Solution." −15sec2(x)+17=tan(x)
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10/20/21

Tangents and Intersection
 Tangents and Intersection. Find the two tangent slopes (exact values) at the point where the graph of the equation y^x = x^y intersects the graph of y = log base 2 (x) Include your computations of... more
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10/20/21

Use the given information about the polynomial graph to write the equation. Degree 5. Double zero at x = 1, and triple zero at x = 3. Passes through the point (x, y) = (2, 46).
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10/19/21

Let f (2)=2 and f '(2)=-3. Also, let g (x)=x^2 f (x). Find g '(2).
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10/19/21

Regina charges c dollars per hour to babysit. If she increases her rate by 15%, which expression represents her new rate, in dollars per hour?
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10/18/21

I cannot figure out the domain or the range.
Thor has a job as a math tutor that paid $7 an hour and he made at most $210 every week.If x is the hours he worked and y is the money he made in a week, write the domain and range of the function... more
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10/18/21

Determine the foci,vertices, and asymptotes of the hyperbola.Sketch the graph,and include these points.(x)²/16-(y)²/33=1
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10/17/21

Find the values of 𝑘 which makes the following trinomial a perfect square trinomial. 𝑥^2 + (𝑘 + 7)𝑥 + (7𝑘 + 1)
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10/17/21

Help me with discriminant
If the equation (a+4)x^2-(3a-1)x+25=0, where a is not equal to -4, has one double real root, find the values of a
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10/17/21

Solve the following integral problem and show steps:
Solve and show clear steps:∫ (e(2t+4)^2 * (t+2)) dt
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10/17/21

Find exact value. sin(2arctan12/5)
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10/17/21

Find exact value. cos(1/2arcsin3/8)
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10/15/21

Let (7, -3) be a point on the terminal side of θ. Find the exact values of cosθ, secθ, and cotθ
Let (7, -3) be a point on the terminal side of θ. Find the exact values of cosθ, secθ, and cotθcosθ = secθ = cotθ =
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10/14/21

Simplify a quotient of imaginary numbers
I'm sure this is a very basic problem. but for the life of me I can't figure it out. Evaluate the expression √−6/√−8√−9 and write the result in the form... more
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10/13/21

3. The Chain Rule. Consider the function
F(x) = tan^-1 (x) - tan^-1 (1+x/1-x) for X > 1a. Compute and simplify the derivative of f. Show all your steps, including the chain ruleb. Use properties of the inverse tangent function to... more
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10/13/21

x+x^2+x^3+x^4+...=14 Infinite Geometric Series with common Ratio and Sum| Solve for X
x+x^2+x^3+x^4+...=14The common Ratio is XSum is 14Infinite seriesSolve for x
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10/13/21

Water is being poured at a rate of 15 cubic feet per minute into a conical reservoir that t is 20 feet deep and has a top radius of 10 feet. How long will it take to fill the empty reservoir?
I know how to find the rate of the water rising when the height of the water is 4 feet or 16 feet but I can't figure out what to do when the height is equal to zero. Any advice would be nice,... more
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10/13/21

a right triangle is formed by the y-axis, the line y=2x+4,and another line. If the legs of the right triangle intersect at (2,8,) what is the equation of the other line of the triangle.?
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10/11/21

Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The positive root of 4 sin x = x2
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10/11/21

Give the standard equation of the circle satisfying the given conditions.Center (1,5),diameter 8
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10/11/21

Analyze and sketch a graph of the function. find any intercepts, relative extrema, points of inflection, and asymptotes. f(x)= (x+1)^2/(x^2+1)
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