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...
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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...
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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?
05/11/20
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...
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05/11/20
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...
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05/07/20
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...
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05/02/20
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...
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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)
04/02/20
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?...
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03/31/20
Please Help! Pre-Calculus and Trigonometry.
cos a = - 12/13, quadrant II, sin B = 1/2, quadrant II. Find cos (a-B).
03/30/20
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...
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03/29/20
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
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=________?
03/03/20
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!
02/29/20
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...
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01/20/20
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...
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