
Draw the graph of the following function on the given interval. [4 marks] y=1.8cos(2x+〖30〗^o ) 〖180〗^o≤x<〖180〗^o 4. Draw the graph of the following function on the given interval. [4 marks] y=1.8cos(2x+〖...

1.Answer the following for the given quadratic function. f(x) = 2x^2  8x  13 (a) does the graph of f open up or down? (b) what is the vertex (h,k) of f? (c) what is the axis of symmetry? (d) what are the intercepts? (e) how is the graph suppose to look for this question? (f...

firstly we have been given the function y= x^3  4x whose graph we have to draw.then we are given the function y = (x1)^3 4(x1) whose graph we have to draw as well.Now i know it is a transformation of the first graph,but i cant see how.Any help would be appreciated.Thanks! ...

Draw the graph of f(x) = tan x and g(x) = 2cos x for 180 _< thetha _< 180 {since its a graph I'm sure how to draw it here}

Need help solving problems using the Trigonometric Identities: 8cos^4 thet=cos4theta+4cos2theta+3 I am a bit unsure how to solve it. I am aware that the first step I must take is to simplify the problem and then use the Product to Sum formula Nasty one! let's start on the ...


how to define arc cosine(cosine x) for 360 deg<x< 360 deg?? a proper conceptual approach to the solution will be appretiated.. The function Cos(x) is equal to 1 at x = 0 and it decreases as a function of x until x = pi (=180 degrees). There the cosine is minus one. So, ...

Find all solutions on the interval [0.2pi) A) 3sin(t)=15cos(t)sin(t) I have no clue... b) 8cos^2(t)=32cos(t) All i did was move around the equation to make an quadratic for B. so 8cos^2(t)2cos(t)+3 = 0

Given the following quadratic equation, find;? a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function. y= x^2+2x+8

Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph the function y= x^26x

Given the following quadratic equation, find a. the vertex b. the axis of symmetry. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function y=x^26x...

Given the following quadratic equation, find a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function. y=x^2+4x

Graph the rational function x/(x6) To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the graph.

find the extreme values of the function on the interval and where they occur. f(x) = x1x5, 2<=x<=7 How do I do this? Sorry for double post. I really need to do this, I don't see an easy way. You can graph it, there is not anything here that would take long to ...

given the folowing quadratic equations find the vertex the axis of symmetry the intercept the domain the range the interval where the function is increasing andthe interval where the function is decreasing graph the function y=X^2+4x

draw the time temperature graph from 8a.m to 4p.m of a particular day at 15 minutes time interval. study the graph and draw the inference.


let f be the function defined by f(x)=3X^5 5X^3 +2 a) on what interval is f increasing? b) on what interval is the graph of f concave upward? c)Write the equation of each horizontal line tangent to the graph of f

1 (a) A function passes through the points (0, 5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different restrictions to the domain that could be...

The prompt says "Graph each function. Determine the interval[s] for which the function is increasing and the interval[s] for which the function is decreasing." The problems that are given in this prompt are: 1. y= x^3+3x^29x 2. f(x)=1/(x+1)4 3. g(x)=(x^2+5)/(x2) I need mega...

The graph of the cosine function is the same as the graph of the sine function but translated: a) 90 degrees to the right b) 90 degrees to the left c) 180 degrees to the right d) 180 degrees to the left I was thinking it could a) and b) but there can only be one answer. Could ...

Graph this function and show the graph over the valid range of the variable x.. Show Graph here You did not provide the function that is supposed to be graphed. But never mind, we can't draw graphs for you here anyway.

Let f be the function defined for x >or= to 0 with f(0)=5 and f', the first derivative of f, give by f'(x)=e^(x/4)sin(x^2). A) Use the graph of f' to determine whether the graph of f is concave up, concave down, or neither on the interval 1.7<x<1.9. Explain your ...

Given f(x) = 2 cos[3(x  60)]+4. Graph one complete cycle of the above function when 180<x<180.

Let f be a twicedifferentiable function defined on the interval 1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the xaxis at x=1 and x=3 and has a horizontal tangent at ...

I have to draw the graph of y=2^x over the interval 1¡Üx¡Ü3. I don't know what they mean by over the interval..

The graph of a onetoone function is shown below. Draw the graph of the inverse function, f^(1) , and submit it to the Dropbox. Please show your work


1. Given f(x)=6/x, choose the correct statement A. The graph of f is concave upward on the interval (negative infinity, 0) B. The graph of f is concave downward on the interval (negative infinity, 0) C. The graph of f is concave upward on the interval (negative infinity, ...

i'm not sure how to do this. can someone help, please? thanks! consider the function f(x0 = x^2 + 2x on the interval [2, 2] a. draw a sketch of the graph of f(x). find the average rate of change on the interval [2, 2] and sketch this secant line. b. find an expression that ...

f(X)= (x^2)/(x^2  1) .find the symmetry , intercepts, asymptotes, interval of increase and decrease, local extreme values, concavity, point of deflection and draw the graph of the function.kindly show the working.

Question2; Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute extrema of the ...

help me ..... Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute extrema of the...

help me ..... Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute extrema of the...

Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute extrema of the function f...

weloo. Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute extrema of the ...

Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph the function y= x^26x

The function f is continuous on the closed interval [5,5], and f(2) = 6, f(1) = 3, and f(4) = 6. Which of the following statements must be true? A. The equation f(x) = 0 has at least two solutions on the closed interval [5,5]. B. The equation f(x) = 0 has exactly two ...


I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the integral as N approaches infinity? Does the graph ...

The license fee for a car varies directly with the value of the car. The fee for a car that is valued at $19,500 is $292.50. a) What is the constant of proportionality? b) Write the equation that shows the license fee as a function of the value of the car. c) If you were to ...

Give a response of at least 50 words to the following: Describe the graph of the interval [4, 3). • Explain how this differs from the graph of the interval [4, 3]. From the question above, does the answer below sound right? The interval notion is a way to express solutions...

Consider the complete graph with 5 vertices, denoted by K5. A. Draw the graph. B. How many edges are in K5? How many edges are in Kn? C. Find an isomorphic representation (graph) of K5. Give the isomorphism mappings. D. Does K5 contain Eulerian circuits? (why?) If yes, draw ...

how do i draw a graph to represent a class of students and all their marks are out of 100

Let f be a twicedifferentiable function defined on the interval 1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the xaxis at x=1 and x=3 and has a horizontal tangent at ...

Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at the beginning so it could be added as a website) 1. Let g be the function given by g(x)=integrate from 4 to x f(t)dt. For each of g(1), g'(1), and g''(1), find the value of state that it does not exist. 2. For ...

The velocity function (in meters per second) for a particle moving along a line is given by v(t)=t3–4t2. Find the displacement and the distance traveled by the particle during the time interval [1,6]. (Hint: Draw a graph of the velocity function.) Your answers require that ...

Q1(a)How to draw the graph of the function A=x^2. Q1(b)From the graph, How to find the value of A,when (i)x=2 (ii) x=3 (iii)x=4

The area A between the graph of the function: g(t) = 4  (4/t^2) and the taxis over the interval [1, x] is: A(x) = ∫[1, x] (4  (4/t^2)) dt a) Find the horizontal asymptote of the graph g. I believe the horizontal asymptote of graph g is g(t) = 4. b) Integrate to find A as ...


consider the function f(x)= x^2/4 6 Rn is the Riemann sum where the sample points are chosen to be the righthand endpoints of each subinterval. Calculate Rn for f(x)= x^2/4 6 on the interval [0,4] and write your answer as a function of n without any summation signs. Rn= ? ...

find the arc length of the graph of the function over the indicated interval. x^5/10+1/(6x^3) on the interval (3,6)

Hey can someone help with this. A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. You can ignore air resistance. What is the ...

I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the integral as N approaches infinity? Does the graph ...

Could someone please answer these questions for me. It is for a grade and due on Tuesday, 4/24/07. The license fee for a car varies directly with the value of the car. The fee for a car that is valued at $19,500 is $292.50. a) What is the constant of proportionality? b) Write ...

1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[4,2]. If Rolle's Theorem can be applied, find all values of c in the open interval...

The length of time that it takes for a pendulum to make one complete swing depends on the length of the pendulum. The time in seconds, T, is related to the length in metres, L, through the equation T=2π√ L/9.8 State the domain and range of this function. (1 mark) ...

Show that the function f(x)=1x, [1,1] does not satisfy the hypotheses of the mean value theorem on the given interval. Also how do I graph the function together with the line through the points A(a,f(a)) and B(b,f(b)). Also how do I find values of c in (a,b) that satisfy f...

solve: 3+2(1x)>6 i got 11/2 no Here is what I got: 3+2(1x)>6 3 + 2  2x > 6 2x > 1 x < 1/2 what about the 3+2? i have to graph the solution set on a number line. What about the 3+2 ???? What a strange question re this problem What level of math are you ...

The function f is continuous on the closed interval [1,7] and has values in the table below x f(x) 1 10 4 30 6 40 7 20 Usinf the subintervals [1,4] [4,6] [6,7] what is the trapezoidal apporx. of the integral from 1 to 7 of f(x)dx? The answer: 160 I tried doing each interval as...


Find all solutions in the interval [0, 360) 8cos^2x+6cosx+1=0

Graph the function y=2sin(x2pi/3). To draw the graph, plot all xintercepts, minima and maxima within on period. I need to graph at least 5 points. I have pi, 0, pi, 2pi, 3pi, and 4pi along the xaxis

A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval (0,8). 1. When is the particle moving toward the ...

Change the cos function into a sin function d(t)= 8cos (pi(t)/30)+8

the graph of a piecewise linear function f, for 1<x<4. what is the value of integral (1 to 4) F(x) dx? the interval i gave is grerater than or equal to and less than and equal to. i didn't know how to put the underscore under the symbol. for the integral, 1 is on the ...

Water spraying from a large fountain follows a path modeled by the function h(d) = 2/3d^2+ 4d, for h > 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the fountain jet, both in metres. a) Graph the function (...

Find all the values of x in the interval [0,2π] that satisfy the equation: 8sin(2x)=8cos(x)

Consider the function f(x)=(4^x−1)/x. (a) Fill in the following table of values for f(x): x= 0.1 0.01 0.001 0.0001 0.0001 0.001 0.01 0.1 f(x)= I the the falues of f(x) for each interval... (b) Based on your table of values, what would you expect the limit of f(x) as ...

Consider the function f(x)=(4^x−1)/x. (a) Fill in the following table of values for f(x): x= 0.1 0.01 0.001 0.0001 0.0001 0.001 0.01 0.1 f(x)= I the the falues of f(x) for each interval... (b) Based on your table of values, what would you expect the limit of f(x) as ...

Graph the following function using the technique of shifting, compressing, strecthing and/or reflecting Find domain and range of the function g(x)=2sqrtx3+7 domain=___ (interval notation) range=_____ (interval notation)


answer the following for the given quadratic function f(x)=x^22x+1 a. Does the graph of f open up or down? b. What is the vertex of (h,k) of f? c. What is the axis of symmetry? D. What is the intercepts? E. What is the domain? F. What is the range? G. On what interval is f ...

Draw a graph for the function f(x)=2*⌈x⌉ With the domain 2<x<=1

The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(11/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12<=x<=1 at which the graph of g has a horizontal tangent line. B. On what subintervals of (0.12,1), if any, is the graph of g ...

how is the graph of f(x)= x^24x be used to obatin the graph of y=g(x)? I am stuck and unsure how to get out of this one so can you please help? thanks! You must define g(x). Is g(x) the inverse function of f(x)? well the function f(x)= x^24x has two zeros x= o and x4 Yes. ...

a math exam is marked out of 120. draw a conversion graph to change the following marks to percentages. a_80 b_110 c_54 d_72

If a graph of a function is given and they tell you to draw the derivative, how do you find it if the function is not given.

The paddle wheel of a boat measures 16 feet in diameter and is revolving at a rate of 20 rpm. The maximum depth of the paddle wheel under water is 1 foot. Suppose a point is located at the lowest point of the wheel at t=0. 1. Write a cosine function with phase shift 0 for ...

Given the function f (x) = 3cos x for the interval 0 < x < 2 sketch the graph of the function

Consider the function below. (Round the answers to two decimal places. f(x) = 2x tan(x) p/2 < x < p/2 (a) Find the interval where the function is increasing. Find the interval where the function is decreasing. (b) Find the local minimum value. (c) Find the interval ...

compare the parent function f(x)=x^2 to the quadractic function f(x)=2x^26. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent function. c.it causes the graph to reflect across...


Consider the function below. (Round the answers to three decimal places. If you need to use  or , enter INFINITY or INFINITY.) f(x) = 4 + 4x2  x4 (a) Find the intervals of increase. (Enter the interval that contains smaller numbers first.) Find the intervals of decrease. (...

The velocity of a sports car is graphed as a function of time . Use the graph to answer the questions. a) Find the sports car’s maximum velocity, , during the 10 interval depicted in the graph. b) During which time interval is the acceleration positive?

Hi, I need some help with some inequalitites. Thanks!! Use graphs to find the set. 1.(9,0) intersection [4,] I got [4,0) 2. (9,0) U [4,10] I got (9,10] Solve the linear inequality. Other than (empty set, use interval notation to express the solution set and graph the ...

Help! I have a test tommorow! I don't understand (b), (c), (e), and (g). The answers are listed following the each question. Here's a discription of the graph: There is a graph of a function f consists of a semi circle (3 to 1 faced downward on the xaxis) and two line ...

Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the vertical and horizontal asymptotes. x=? y=? (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your...

Prove that cos4x=8cos^4x8cos^2x+1 so I'm guessing you begin with the left side cos4x=cos2(2x) then im kinda lost

3. write the function whose graph is the graph of y=sqrt of x, but is shifted to the left 3 units y=____ 4. write the function whose graph is the graph of y=x, but is shifted down 8 units y=___ 5. write the function whose graph is the graph is the graph of y=(x+4)^2, but is ...

Can I please get some help on these questions: 1. How many solutions does the equation,2sin^2 2 θ = sin2θ have on the interval [0, 2pi]? 4? ...what about 4cos2θ = 8cos^2 2θ? 2. True or False: sin^2 4x = 1 has 8 solutions on the interval [0, 2pi]? False? 3. ...

Give a reasonable sketch, on the axes provided, of the graph of the function x/(x^21)^1/2 showing all characteristics. Use the following pieces to justify your sketch. a) Domain ? b) coordinates x and y intercepts ? c) Symmetry ? is the function odd, even, or neither ? d) ...

Why does 1/8cos(2y+6) become 1/8cos(arcsinx/4)?


find the measure of m<ABC,m<DBC? we need more information then that... well in order 2 solve dis u need and diagram or something like a graph what is 252 + 180 and 302 +180 whats 252+180

In an experiment, two variables quantities 'x' and 'y' were measure. The relation between x and y is thought to be y=ax^(1/2) x(m)+/ 0.01m y(s) +/ 0.05s 0.10 0.64 0.20 0.90 0.40 1.27 0.80 1.80 1.00 1.90 a) What will you graph in the y and x axis in order to obtain a ...

Well, first graph the graph of f(x)=1/10x^2 + 3 2. We are going to approximate the area between f and the xaxis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, just most of it. Draw four inscribed ...

1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^21) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3 isin 2pie/3)^4]/ (cos pie/6  isin pie/6)^2 4.Find the ...

1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^21) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3 isin 2pie/3)^4]/ (cos pie/6  isin pie/6)^2 4.Find the ...

Is it possible to roughly sketch a graph(without plotting the points) from the asymptotes of a rational function? Is yes, what are the rules? For example, if I have to sketch a graph of y = (2x^2+10x12)/x^2+x6), how do I do it? I got the vertical asymptotes as x=3 & x=2, ...

Consider the equation below. (Give your answers correct to two decimal places.) f(x) = 8sin(x) + 8cos(x) 0 ≤ x ≤ 2 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.) ( , ) union ( , ) Find the interval on ...

For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function  f(x) = 1/2 [x1] These functions always mess me up! Could someone tell me the following properties of this function. ...

f(x)= 3+4xe^{5x}complete the sentences concerning the function a) the function f is decresing on the iterval...... b) the function f is increacing on the interval c) the function f is concave down on the interval d) the function f is concave up on the interva

should i use substitution?? if yes how should should i use it? plz i need some directions? k plz someone?...so far i used trig. substitution. i got a=8, so i used x=asin(è)so according to this substitution i got x=8sin(è) and dx=8cos(è) dè...then i used used the plug them ...


In an experiment, two variables quantities 'x' and 'y' were measure. The relation between x and y is thought to be y=ax^(1/2) x(m)+/ 0.01m 0.10 0.20 0.40 0.80 1.00 y(s) +/ 0.05s 0.64 0.90 1.27 1.80 1.90 a) What will you graph in the y and x axis in order to obtain a ...

The length of time that it takes for a pendulum to make one complete swing depends on the length of the pendulum. The time in seconds, T, is related to the length in metres, L, through the equation T=2π√ L/9.8 Write this equation in function notation. (1 mark) State...

If given the graph of 𝑓(𝑥) = − sin (3x + 𝜋/3 ) − 2 describe the steps you would take to draw the graph of the reciprocal function

Would someone please check my answers to this problem: The license fee for a car varies directly with the value of the car. The fee for a car that is valued at $19,500 is $292.50. What is the constant of proportionality? My answer is: .105 cents per every one dollar of car ...

which of the following graphs could represent a function with the following 3 properties? 1) f(x)>0, for x<0 2) f'(x) is less than or equal to 0, for all x 3) f'(0)=0 I know that we cannot draw the graph but to figure this out I f(x)>0 would mean that the graph is ...
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