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+〖30〗^o ) -〖180〗^o≤x<〖180〗^o

92,559 results

Math

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+〖...

College Algebra

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...

maths

firstly we have been given the function y= x^3 - 4x whose graph we have to draw.then we are given the function y = (x-1)^3 -4(x-1) 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! ...

college algebra

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

College Algrbra

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^2-6x...

college algebra

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

College algebra

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^2-6x

trig

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}

Please help! quadratic equation

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^2-6x

college algebra

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

Math

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

Honors Pre-Calculus

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^2-9x 2. f(x)=1/(x+1)-4 3. g(x)=(x^2+5)/(x-2) I need mega...

calculus

answer the following for the given quadratic function f(x)=x^2-2x+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 ...

Calculus HELP!!!

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 ...

Calculus

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.

Trigonometry

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 ...

calculus

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 ...

Please check my Calculus

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, ...

Calculus

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

trigonometry

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

Algebra 1 - Help!?

Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = -5x...

math

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 ...

Calculus

Let f be a twice-differentiable 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 x-axis at x=-1 and x=3 and has a horizontal tangent at ...

Algebra

Graph the rational function x/(x-6) To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the graph.

mean value theorem

Show that the function f(x)=1-|x|, [-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...

algebra

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...

maths

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.

math

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, ...

extreme value of absolute.....

find the extreme values of the function on the interval and where they occur. f(x) = |x-1|-|x-5|, -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 ...

macro

Assume that the utility function of a consumer is given by U = ln c1 + ln c2 The interest rate is given by 5% and the endowments are given by (y1, y2) = (100, 120). (a) Draw the budget constraint. (b) Calculate the consumption and saving in period 1. (c) Draw the indifference ...

Calculus c

Let f be a twice-differentiable 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 x-axis at x=-1 and x=3 and has a horizontal tangent at ...

AP Calculous

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

calculus urgent

If you are given a graph of a function, how do you draw the derivative?

Math

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 ...

Math

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

algebra

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

algebra

Graph the following function using the technique of shifting, compressing, strecthing and/or reflecting Find domain and range of the function g(x)=2sqrtx-3+7 domain=___ (interval notation) range=_____ (interval notation)

math

in an examination there are 180 questions , 4 marks is given for each correct answers and 1 marks is subtracted for each wrong answers . if a boy scores 220 marks find the no of correct and wrong answers ???

Grade 12 Calculus

Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. f(x) = (x − 1)^2 , 0 ≤ x ≤ 2

MATH

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...

calculus

h(t)=tan theta (5pie/3,3pie) graph the function on the given interval

math

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.

pre-cal: graphs of functions- fill in the blank

To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a nonlinear function f. The ...

Algebra

Could you please check my work. Determine whether the realtion is a funtion. 2.{(-6,2),(-2,5),(3,2),(3,-7)} -Not a function 2. Determine whether the equation defines y as a function of x. 2x+4y=15- the answer I got is y is a fucntion of x. Evalute the function at the given ...

Algebra

need help checking Create a 2-column proof for the following equation. X + X + 10 + 2(2X + 10) = 180 X + X + 10 + 2(2X + 10) = 180 (Given) 2X + 10 + 2(2X + 10) = 180 (Simplify) 2X + 10 + 4X + 20 = 180 (Expand) 6X + 30 = 180 (Simplify) 6X = 180 - 30 (Subtract) 6X = 150 (...

math

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...

math

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...

math

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...

math

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 ...

Math.. how to get linear function

The total length y is a linear function of the tail length x with great accuracy. The domain is the interval from 30mm to 200mm, and the range is the interval from 200mm to 1400 mm. The following two points are given: X0= 60mm, Y0= 455mm, X1=140mm, Y1= 1050mm. Find the ...

math

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.

Algebra2

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function. 1. f(x)=x^2-1 ; x = -3, -2, -1, 0, 1, 2, 3 2. g(x)=√(x+1)-2 ; x = -1, 0, 3, 8 3. h(x)=|x-3| ; x = 0, 1, 2, 3, 4, 5, 6

Algebra2

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function. 1. f(x)=x^2-1 ; x = -3, -2, -1, 0, 1, 2, 3 2. g(x)=√(x+1)-2 ; x = -1, 0, 3, 8 3. h(x)=|x-3| ; x = 0, 1, 2, 3, 4, 5, 6

Algebra2

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function. 1. f(x) = x^2 -1 ; x = -3, -2, -1, 0, 1, 2, 3 2. g(x) = squareRoot Of ; x+1 - 2 ; x = -1, 0, 3, 8 3. h(x) = |x-3| ; x = 0, 1, 2, 3, 4, 5, 6

Calculus

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 ...

AP Calculus

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 ...

cal

find the area between the graph of function and x-axis over the given interval, if possible. f(x)= 16/(x-1)^2 for (-infinity, 0]

calculus

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 x-axis) and two line ...

Maths Graph

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

Calculus AB

Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties: 1) The graph of f is symmetrical with respect to the y-axis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes through the point (-1,3) Determine the values ...

Calculus

1. a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at (a,f(a)) for the given value of f(x) = 4x2+2x, a =1 F’(a) = y = 2. For the function find f’ using the definition f’(x) = lim(h→0) Determine the...

Calculus

1. a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at (a,f(a)) for the given value of f(x) = 4x2+2x, a =1 F’(a) = y = 2. For the function find f’ using the definition f’(x) = lim(h→0) Determine the...

math

. Given the following function, f(x)=-x^2 -8x find: (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range, (f) intervals where the function is increasing, (g) intervals where the function is decreasing, and (h) the graph of the function. Please show all of ...

Algebra HELP!

I cannot find an example and am confused about what to do with this problem. Can someone tell me what they want? Do they want me to graph the function and determine x&f? I am just not sure what why my answer is suppose to be. Compare the graph of the given quadratic function f...

Calculus

Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function and the x-axis over the given interval. f(x) = x^2 + 4x, [0, 4]

Calculus

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 ...

pre calculus

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

Math (Calc.)

1.Use the IVT to explain why the following is true. If f continuous on (a,b) and f(x) does not equal to zero for all x in the interval (a,b), then f(x) > for all x in the interval (a,b) or f(x) < 0 for all x in the interval (a,b). 2. You are given that a function f is ...

Calculus (Continuity and Differentiability)

Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, impossible, or certain that the function g ...

Calculus

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 ...

Calculus

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 ...

computers

write a c program to find the percentage marks where obtain marks and total marks is given by user also show the fail message if marks is less than 17%

math

Question-2; 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 ...

Calculus

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 ...

Calc

Use the limit process to find the area of the region between the graph of the function and the x-axis over the given interval. y = −4x + 6, [0, 1]

Math

Use the limit process to find the area of the region between the graph of the function and the x-axis over the given y-interval. g(y) = 4y2 − y3, 1 ≤ y ≤ 3

Calculus 2

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)

math

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

Calculus

flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you did to create your ...

Math

flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you did to create your ...

Physics

In the time interval from 0.0 s to 10.1 s, the acceleration of a particle traveling in a straight line is given by ax = (0.1 m/s3)t. Let to the right be the +x direction. The particle initially has a velocity to the right of 10.0 m/s and is located 5.4 m to the left of the ...

maths

1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 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 ...

maths

1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 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 ...

Calculus

Let f be a function with second derivative given by f''(x)=sin(2x)-cos(4x). How many points of inflection does the graph of f have on the interval [0,10]? (A)Six (B)Seven (C)Eight (D)Ten (E)Thirteen

Calculus AP Exam review explanation pls

1) The average value of the function g(x) = 3^cos x on the closed interval [ − pi , 0 ] is: 2)The change in the momentum of an object (Δ p) is given by the force, F, acting on the object multiplied by the time interval that the force was acting: Δ p = F Δt . If the force...

Math (Calc)

Find all solutions to the following equation on the interval 0<=x<=2PI 8cos^2(X)sin^2(X) + 2cos^2(X) - 3 = 0 There are 8 solutions. If somebody could show me how to do it and not give me the answers, that would be great.

Discrete Mathematics

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 ...

Math

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 ...

math

A recently released film has its weekly revenue given by Where R(x) is in million of dollars and x is in weeks. (a) Find the asymptotes of the graph of the function R. (b) Find the intervals where R is increasing and decreasing, if any. (c) When will the revenue be maximized...

Math

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..

algebra 2

y=f(x-4)+1 use the graph of y=f(x) shown to skech the graph of the given function ( given graph pionts are -2,3 1,2 and 2,0

Algebra

Given the following piecewise function: Find the Given the following piecewise function: f(x)= {?(x+10 for -9 ?x<-2@3 for -2 ?x ?0@2x-6 for 0<x ?5 )? Find the domain. Find the range. Find the intercepts. Is f continuous on its domain? If not, state where f is ...

Math

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 ...

calculus II

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 ...

Algebra HELP!

I cannot find an example and am confused about what to do with this problem. Can someone tell me what they want? Do they want me to graph the function and determine x&f? I am just not sure how to get my answer. My problem is: Compare the graph of the given quadratic function f...

Math

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 (...

calculus/graphing calculator help

We were given a worksheet on modifying functions with the equation y=Af(Bx+C)+D. The first function we're given is y1=f(x)= x + x^2 and we're supposed to graph it. Then we're told to graph y2=2f(x), and we're given instructions on how to enter it [y2=2 ->vars->y-vars->...

algebra

please show work Find the average rate of change for the given function on the given interval. 3. f(x)=x2-4x; -2 ≤x≤ 4 4. f(x)=2x-1; [0, 3] Find a Point-Slope equation for a line containing the given point and having the given slope. 9. (-7, 2), m = 3 10. (6, -2), m = -3 ...

algebra URGENT HELP

analyze the graph of the following function solve R(x)=x(x-16)^2 /(x+11) solve the following inequality write solution in interval notation x+14/x-8 less than or equal to 1

Grade 12 Calculus

Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a)  =  − 4 + 3 , 0 ≤  ≤ 3 b)  =  − 1 , 0 ≤  ≤ 2

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  98. 98
  99. 99
  100. 100