Calculus Velocity

The position of an object moving along a line is given by the function s(t)=−14t2+140t. Find the average velocity of the object over the following intervals.​(a)​ [1, 55​]​(b) ​[1, 44​]​(c)​ [1,... more

07/02/19

Principles of Mathematics: A drawing of a neuron is at the scale 200 : 3

I missed this class and I have a test on it tomorrow. I need help understanding the process of answering this question:A drawing of a neuron is at the scale 200 : 3a) If the cell body has a... more

Extraneous Solutions

How are problems with extraneous solutions similar to problems with no real solutions or no solution at all?

07/02/19

How to break this apart?

A playground is in the shape of a square with each side equal to 109 yards. It has skating rinks in the shape of the quadrants of a circle at each corner. If the area of the remaining field is... more

Explanation of polynomials

Explain why the remainder upon dividing a polynomial P(x) by x-α has a degree of zero.

I need to know how to solve 2x-4y=14 and -4x+8y=6 by elimination

So far I have x=7(don't remember how I got that) but I try to plug it in to one of the equations and I just don't know how.

07/01/19

Variations of model

The figure shows that a bicyclist tips the cycle when making a turn. The angle​ B, formed by the vertical direction and the​ bicycle, is called the banking angle. The banking angle varies inversely... more

06/29/19

Through (0,-1) parallel to y=3/4x-4

Find the diameter of the tank in feet to the nearest tenth

A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the diameter of the tank in feet to the nearest tenth

06/28/19

Tangent Line Calculus

I have two questions that I'm stuck on and they both involve finding the tangent line.For the first one, I already got part a) right but I'm struggling with part b).Compute 𝑓′(𝑥) and find an... more

06/28/19

Algebra question

Doug's garden produces 5.8  times as many vegetables as Kelsey's garden. Together, the gardens produce 102  pounds of vegetables. How many pounds of vegetables does each garden produce?How would I... more

In the “Real World”, what is the Highest value that the Selling Price could be?

Let Revenue = Selling Price * Qty and Cost = Variable Cost * Qty. Suppose that the Variable Cost per unit is $12, and the Quantity Sold Depends on the Selling Price and is given by the equation Qty... more

What is the value of the expression -3x^2y+4x when x= -4 and y=2?

What is the value of the expression (-3x2y+4x) when x= -4 and y=2?

06/28/19

Someone please explain

A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function ℎ(𝑡) = 144𝑡 − 16𝑡^2 , where t is the time in seconds. When will the... more

06/27/19

calculus of business

. (Revenue) Tomas, the organizer of a sports event, estimates that if the event is announced 𝑥 days in advance, the revenue obtained will be 𝑅(𝑥) thousand dollars, where 𝑅(𝑥) = 400 + 120𝑥 − 𝑥 2 The... more

The polynomial P(x) has degree 3 a root of multiplicity 2 and x =4 a root multiplicity 1 at x=-3 intercept (0, -19.2)

The polynomial P(x) hasdegree 3 a root of multiplicity 2 and x =4a root multiplicity 1 at x=-3intercept (0, -19.2)P(x)=

The polynomial of degree 5, P ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 1 and x = 0 , and a root of multiplicity 1 at x = − 3 Find a possible formula for P ( x )

The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0, and a root of multiplicity 1 at x=−3 Find a possible formula for P(x). P(x)=

06/27/19

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 5 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 35

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=−2. The y-intercept is y=−35. Find a formula for P(x). P(x)=

06/27/19

Use the rational zeros theorem to list all possible zeros of the function f ( x ) = 5 x 3 − 5 x 2 − 4 x + 3 . Enter the possible zeros separated by commas. You do not need to factor the polynomial.

Use the rational zeros theorem to list all possible zeros of the function f(x)=5x^3−5x^2−4x+3.Enter the possible zeros separated by commas. You do not need to factor the polynomial.

Use the rational zeros theorem to list all possible zeros of the function f ( x ) = 3 x 3 + 2 x 2 + 5 x + 2 . Enter the possible zeros separated by commas. You do not need to factor the polynomial.

Use the rational zeros theorem to list all possible zeros of the function f(x)=3x^3+2x^2+5x+2. Enter the possible zeros separated by commas. You do not need to factor the polynomial.

Given P(x)=3x^5+10x^4+84x^3+252x^2+225x+50, and that 5i is a zero, write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=.

Given P(x)=3x^5+10x^4+84x^3+252x^2+225x+50, and that 5i is a zero, write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=.

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