Whenever a function has a zero, its graph touches the x-axis. In those cases, one of two things can happen. Either the graph can cross the x-axis, or it can touch the x-axis and not cross over it.

1) Lets look at some examples of different functions. Each of the following functions has a zero located at x = 3. For each function, determine if the function’s graph crosses or only touches the... more

what fraction of the bill should each person pay?

Sonya is a student at Urban State College. Because her financial resources are limited, she has moved into a house with four other people. The house is high speed internet, and the bill comes... more

Use the Newton-Raphson method to find the approximate solution

Function f(x) =e-x^2-x . Start from x0 = 0.5 and correct your answer to 4 decimal places.

Write the first four terms of a sequence given the recursive rule below.

f(n) = f(n-1)-4, for all n ≥ 2 and f(1) = 32A. 32, 31, 30, 29B. not enough informationC. 32, 28, 24, 20D. 32, 27, 22, 17

Help with this question!

What is an example of a polynomial you could add to h(x) to generate a polynomial with a degree of 5?h(x) = -3x^6 + 2x^4 - 3x^2

find half life of caffeine

The half-life of caffeine is approximately 5.7 hours. If there are 30mg of caffeine in a half cup of coffee ice cream, how long will it take to decrease to 5mg of caffeine?

Finding Unit Vectors in Same Position

For each different vector, find a unit vector in the same direction. ​a.​u1 = [ −5, 3]​b.​u2 = ​with point M = (2, −8) and point N = (−5, 4).​c.​u3 is the vector with magnitude 6 and direction... more

Trigonometry Word Problem

The water at a boat dock is 7 feet deep at low tide, and 11 feet deep at high tide. One day, low tide occurred at 4 am and high tide at 10 am. Find a function for the height of the tide as a... more

Please help me out with my math homework, thank you!

A radar gun was used to record the speed of a swimmer (in meters per second) during selected times in the first 2 seconds of a race. Use a trapezoidal sum with 4 intervals to estimate the distance... more

Tangent Ratios: Determine the height of the CN Tower to the nearest metre.

While standing a certain distance across flat ground from the base of the CN tower, Raj notices that the angle of elevation to the top of the CN Tower is 41.3∘. He then walks 180 metres toward the... more

Solve the following logarithmic equation. Show step by step work.

Solve the following logarithmic equation. Show step by step work.log4 (𝑥 − 3) = 2 − log4 (𝑥 + 12)

prove that the curvature of a curve is :

κ = ΙdΦ/dsΙ and Φ is the angle between Τ and i

A ball is thrown upward with a speed of 48 ft/s from the edge of a bridge 32 ft above the ground. The acceleration due to gravity is about 32 feet per second per second.

Find the ball’s height above the ground 𝑡 seconds later.When does the ball reach its maximum height?When does the ball hit the ground?On what interval of time is the speed of the ball increasing?... more

Please Help! Pre-Calculus and Trigonometry.

cos a = - 12/13, quadrant II, sin B = 1/2, quadrant II. Find cos (a-B).

Find and interpret the horizontal asymptote

a persons temperature T, in degrees Farenheit,during an illness is given by the function T(t) = 98.6t^2+ 4t + 98.6/ t^2+1 where time t is given in hours since then onset of the illness. Find and... more

The line through ( − 9 , 3 ) and ( 6 , − 7 ) also goes through the point ( t , − 2 ) for

The line through (−9,3) and (6,−7) also goes through the point (t,−2) for T=

Exponential Problems

Solve equations algebraically. Approximate the result to three decimals. a. ex = ex^2 - 2b. 7 - 2ex = 5

Write the equation in logarithmic form.

Write the equation in logarithmic form.

If line segment BC=80, and line segment AC=89. then line segment AB=________?

If line segment BC=80, and line segment AC=89. then line segment AB=________?

prove the identity

prove sin^4(y)-cos^4(y)= 2sin^2(x) -1 i think you would start on the left hand side but im not sure how to start or why the varibles change. thanks in advance for the help!

Please help me! The population P (in thousands) of Alaska in the years 2005 through 2015 can be modeled by P = 75 ln(t) + 540, 5 ≤ t ≤ 15 where t represents the year, with t = 5 corresponding to 2005.

Whole question:The population P (in thousands) of Alaska in the years 2005 through 2015 can be modeled by P = 75 ln(t) + 540, 5 ≤ t ≤ 15 where t represents the year, with t = 5 corresponding to... more

How do you memorize the Unit Circle?

The unit circle can be daunting. It is necessary in all higher math classes and I am positive you will have a quiz or test on filling in the X and Y coordinates for each of the angles in the Unit... more

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