Doug C.

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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Math Precalculus Pre Calculus

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?

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Precalculus Trigonometry

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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Calculus

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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Pre Calculus

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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Calculus

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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Math

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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Algebra 2 Compound Inequalities

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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Precalculus

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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Math

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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Math

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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Math Calculus Ap Calculus

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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Answers •1

Precalculus Trigonometry

10/17/21

Find exact value. sin(2arctan12/5)

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Precalculus Trigonometry

10/17/21

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

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Math Calculus Geometry

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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Precalculus

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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Calculus

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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Calculus Geometry Precalculus

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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Calculus

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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Algebra 1

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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Calculus

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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Pre Calculus

10/11/21

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

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Calculus

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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Precalculus

10/11/21

A factory is to be built on a lot measuring 240 ft by 320 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.

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Calculus

10/09/21

Can anyone help me with this?

Use shells to find the volume of the solid obtained by rotating the region bounded byy=6x2, x=1, and y=0, about the y-axis

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Problems Involving Conic Sections

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?

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

Tangents and Intersection

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).

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

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?

I cannot figure out the domain or the range.

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

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

Help me with discriminant

Solve the following integral problem and show steps:

Find exact value. sin(2arctan12/5)

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

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

Simplify a quotient of imaginary numbers

3. The Chain Rule. Consider the function

x+x^2+x^3+x^4+...=14 Infinite Geometric Series with common Ratio and Sum| Solve for X

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?

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.?

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

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

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)

A factory is to be built on a lot measuring 240 ft by 320 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.

Can anyone help me with this?

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