10/29/21

The graph of y = f ( x ) (solid) and its tangent line at x = 0 (dashed) is shown; a second point on the tangent line is also marked. Assume f ' ( x ) is continuous.

I need help with this. I'm really confused and my professor is not very good at teaching. Image Link-> https://imgur.com/a/XI3coTT

L'Hospital's Rule; Indeterminate Forms. How do I get the answer to this?

Everyway I've tried has failed. Please help

Use synthetic division to rewrite the following fraction in the form q(x)+r(x)d(x), where d(x) is the denominator of the original fraction, q(x) is the quotient, and r(x) is the remainder.

Use synthetic division to rewrite the following fraction in the form q(x)+r(x)/d(x), where d(x) is the denominator of the original fraction, q(x) is the quotient, and r(x) is the remainder. 2x^3 −... more

What is the Logical Equivalence by following the data below?

Use truth tables to show if the two statements are logically equivalent or not.(p↔~q) ≡ (p ˄~q) ˅ (~p ˄ q)

Determine the second derivative of Q(v)

Q(v) = 2/(6+2v-v2)4

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

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)

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

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?

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)

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

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

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

Solve the following integral problem and show steps:

Solve and show clear steps:∫ (e(2t+4)^2 * (t+2)) dt

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

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

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

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

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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