Line L is tangent to the graph of y= x (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in
156,655 results

Calc
Line L is tangent to the graph of y= x (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing vertically at the top of the hill. Does a spot light... 
Calc
Line L is tangent to the graph of y= x (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing vertically at the top of the hill. Does a spot light... 
Calculus
Line l is tangent to the graph of y= x  x²/500 at point Q & it crosses the yaxis at (0, 20) a). Find the xcoordinate of point Q b. Write an equation for line l c) Suppose the graph of y=xx^2/500, where x and y are measured in feet, represents a hill. There is a 50foot ... 
Calculus AB
Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x1)e^x. For which value of x is the slope of the tangent line to f positive? Negative? Zero? 2) Find an equation of the tangent line to the oven curve at the specified point. Sketch the curve and the... 
calculus
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = x + 2 at the point (1, 3) 3. Find f '(x) for f(x) = 2x3 + 3x2  x + 15. 4. Find all values of x on the graph of f(x) = 2x3... 
calculus
5. Let f be the function given by f(x) = x3 7x + 6. a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = 1 c. Find the x coordinate of the point where the tangent line is parallel to the secant line on the interval [1, 3]. 
Calculus AB
Could someone please help me with these tangent line problems? 1) Find the equation of the line tangent to the given curve at the indicated point: 3y^3 + 2x^2 = 5 at a point in the first quadrant where y=1. 2) Show that there is no point on the graph of x^2  3xy + y^2 = 1 ... 
Calculus
Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2+7 and connect the tangent point to the xaxis. If the tangent point is close to the yaxis, the line segment is long. If the tangent point is far from the yaxis, the line ... 
calculus
Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the xaxis. If the tangent point is close to the yaxis, the line segment is long. If the tangent point is far from the yaxis, the line ... 
College Math
2008 (2nd)Course24.1 We are to find a function f(x) such that its derivative is x^2+x1 and the graph of y=f(x) is tangent to the straight line y=x+1. First we find the coordinates of the point at which y=f(x) and y=x+1 are tangent.Since the slope of the tangent line is A,the... 
Math calculus
Given f(x) = x ^ 3  x ^ 2 4x +4 Find the zeros of f. Write an equation of the line tangent to the graph of f at x = 1 The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0,8) which is not of the graph of f. Find a and b... 
Calculus
1. Given the function f defined by f(x) = x^3x^24X+4 a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = 1 c. The point (a, b) is on the graph of f and the line tangent to the graph at (a, b) passes through the point (0, 8) which is not... 
Math
A line intersects the graph of y=x^2 twice. One point has an xcoordinate of 4, and the other point has an x coordinate of 2. A. Find the equation of the line. B. Find the measure of the angle that the line makes with the xaxis. 
Algebra
A line intersects the graph of y= x^2 twice. One point has an x coordinate of 4, and the other point has an xcoordinate of 2. A) Draw a sketch of both graphs, and find the equation of the line. B) Find the measure of the angle that the line makes with the xaxis. 
Algebra
A line intersects the graph of y= x^2 twice. One point has an x coordinate of 4, and the other point has an xcoordinate of 2. A) Draw a sketch of both graphs, and find the equation of the line. B) Find the measure of the angle that the line makes with the xaxis. 
AP Calculus
Suppose that f has a continuous second derivative for all x, and that f(0)=1, f'(0)=2, and f''(0)=0. A. Does f have an inflection point at x=0? Explain your answer. B. Let g'(x) = (3x^2 + 2)f(x) + (x^3 + 2x + 5)f'(x). The point (0,5) is on the graph of g. Write the equation of... 
MathCalculus
Let y = f(x) be the continuous function that satisfies the equation x^4  (5x^2)(y^2) + 4y^4 = 0 and whose graph contains the points (2,1) and (2,2). Let L be the line tangent to the graph of f at x = 2. (a) Find and expression for y'. (b) Write an equation for the line L. (c... 
College Calculus
Let f(x) = 3x^2  2x + 1 a) write an equation of the line going through the points (1, f(1)), and (2, f(2)). b) Find a point on the graph of f where the tangent line to the graph has the same slope as the line in part (a). Write the equation of the tangent line at that point. ... 
Calc.
Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the xaxis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, and shade the area under the tangent. Find out... 
cal
find the equation of a quadratic function whose graph is tangent at x=1 to the line whose slope8, tangent at x=2 to solve the line with slope4 and tangent to the line y=8 find the equation of the tangent lines at x=1 and x=2 graph the quadratic function obtained and the 3 ... 
Calculus
How do you find the original function given a point (a,b) and the equation of the line tangent to the graph of f(x) at (a,b). For example: The point is (4,11) and 7x3y=61 is the equation of the line tangent to the graph of f(x) 
calculus
Find the equation of the tangent line to the graph of f(x)=4ln(9x+2)at the point of xcoordinate x=2. 
Calculus Please someone help
1. Find the slope m and an equation of the tangent line to the graph of the function f a the point (2, 38) 2. Find an equation of the line that passes through the point (9,7) and is perpendicular to the line 5x+3y4=0 
Calculus
Find the equation of the tangent to the graph of f(x)=2x^4 (to the power of 4) that has slope 1. Derivative is 8 x^3. This equals 1 at x = 1/2. At this point the ycoordinate is f(1/2) = 1/8. The equation of the tangent line is thus: 1/8 + 1*(x1/2) = x  3/8 Thank you for ... 
Math (Pre Cal)
Hi, I am studying for a precalculus quiz and I do not understand this hw problem: "The tangent line to a circle may be defined as the point that intersects a circle in a single point... If the equation of the circle is x^2+y^2=r^2 and the equation of the tangent line is y=mx+b... 
calculus
find the x coordinate of each point at which the line tangent to the graph of f(x)=x^43x^2 is parallel to the line y= 2x+4 
Calculus
So here is the question: Find and equation of the tangent line to the graph: 4)f(x)=e^(2x) passing through the point (0,0) I find derivative being f'(x) =2e^(2x) Then m = f'(0) = 2 put into point slope formula: (yy1)=m(xx1) y0 = 2(x0) which comes out to y=2x 0=2x ; so the ... 
calculus
To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (64, 8), we know that (64, 8) is a point on the line. So we just need to find its slope. The slope of a tangent ... 
math
A tangent line is drawn to the hyerbola xy=c at a point P. 1) show that the midpoint of the line segment cut from the tangent line by the coordinate axes is P. 2) show that the triangle formed by the tangent line and the coordinate axes always has the same area, no matter ... 
calculus
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = x + 2 at the point (1, 3) 3. Find f '(x) for f(x) = 2x3 + 3x2  x + 15. 4. Find all values of x on the graph of f(x) = 2x3... 
math repost!!
please help, i procrastinated and now this is due tomorrow!! A tangent line is drawn to the hyerbola xy=c at a point P. 1) show that the midpoint of the line segment cut from the tangent line by the coordinate axes is P. 2) show that the triangle formed by the tangent line and... 
calc
let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative of f is given by f'(x)= (1  Ln(x))/x squared. a) write equation for the line tangent to the graph of f at x=e squared b) Find the xcoordinate of the critical point of f. Determine wheter this point is a ... 
math, a.p. calc
Let g be a function that is defined for all x, x ≠ 2, such that g(3)=4 and the derivative of g is g′(x)= x^2–16/x−2, with x≠2. Write an equation for the tangent line to the graph of g at the point where x = 3. Does this tangent line lie above or below... 
Math  point on the graph (check +help)
Determine the coordinates of the point on the graph of f(x)=sqrt(2x+1) where the tangent line is perpendicular to the line 3x+y+4=0 I do not seem to get the answer... I find the first derivative of f(x0 and equate it to the value of the slope from the tangent line. the answer ... 
Calculus
Let (a, b) be any point on the graph of Prove that the area of the triangle formed by the tangent through (a, b) and the coordinate axes is 2. This is the solution from the solution manual The coordinates of the point are (a,1/a). The slope of the tangent is 1/a^2. The ... 
Math
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 9/(5 x) ( at ) \(1,(9/5)) m = y= 
math
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x)=7x5x^2 at (2,34) m = ?? y = ?? . 
Calculus
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 15/4 x at (1,15/4) 
Calculus
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 15/(4 x) at (1,(15/4) m = y = 
Calculus
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 7 x  2 x^2 text( at ) \(1,9\) m = y = 
Calculus PLEASE HELP
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 2 x  4 x^2( at ) (2,20) m= y= 
Physics
can someone help i'm stuck on two questions??? 23. On a velocitytime graph, when is the object not moving? when the slope is a straight line rising to the right when the slope is a straight line falling to the right when the slope is a line curving upward to the right at the ... 
Calculus
Sketch a graph of the parabola y=x^2+3. On the same graph, plot the point (0,−6). Note there are two tangent lines of y=x2+3 that pass through the point (0,−6). The tangent line of the parabola y=x^2+3 at the point (a,a^2+3) passes through the point (0,−6) ... 
calculus
Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the xaxis. If the tangent point is close to the yaxis, the line segment is long. If the tangent point is far from the yaxis, the line ... 
calculus
Use the fourstep process to find the slope of the tangent line to the graph of the function at the given point and determine an equation of the tangent line.f(x)= x^2  5x +2 (1, 2) 
Math (Calculus) (mean value theorem emergency)
Consider the graph of the function f(x)=x^2x12 a) Find the equation of the secant line joining the points (2,6) and (4,0). I got the equation of the secant line to be y=x4 b) Use the Mean Value Theorem to determine a point c in the interval (2,4) such that the tangent ... 
math
i have more than one question so if u no any of the answers please tell me 1.) write the pointslope form of the equation of the line with slope 2 passing through the point ( 5, 9). 2.) write the pointslope form of an equation of the line through the points at ( 9, 9) ... 
Calculus
Use the fourstep process to find the slope of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = 2x22x+1 (1, 2) 
cal
Equations of the tangent lines to hyperbola xy=1 that pass through point (1,1) I know the graph of y=1/x but not sure about the tangent lines at given point. Are the lines tangent to (1,1) and (1,1)? You're correct, the graph is y=1/x, so find y' to get the slope at any ... 
Calculus
the curve: (x)(y^2)(x^3)(y)=6 (dy/dx)=(3(x^2)y(y^2))/(2xy(x^3)) a) find all points on the curve whose xcoordinate is 1 and write an equation for the tangent line of each of these points b)find the xcoordinate of each point on the curve where the tangent line is vertical 
Math
The point P = (4, 3) lies on the circle x2 + y2 = 25. Find an equation for the line that is tangent to the circle at P. This line meets the xaxis at a point Q. Find an equation for the other line through Q that is tangent to the circle, and identify its point of tangency 
Math
The point P = (4, 3) lies on the circle x2 + y2 = 25. Find an equation for the line that is tangent to the circle at P. This line meets the xaxis at a point Q. Find an equation for the other line through Q that is tangent to the circle, and identify its point of tangency 
Math
I have a series of questions that I did. They lead up to the last question I can't solve. Could you check my math and help me with the last question? Thanks! a) Let a be the point (2,3). Compute the distance from Origin 0 to A answer: a^2 + b^2 = c^2 3^2 + 2^2 = c^2 c=sqrt(13... 
Calculus
Find an equation of the tangent line to the curve at the given point. (Assume the tangent line form to be f(x) = mx + b.) y= e^x/x (1,e) I got m= 0 nd b=e could anyone tell if its right? 
Calculus
find an equation of the tangent line to the graph of the function f through the point (xsub0, ysub0) not on the graph. TO find the point of tangency (x,y) on the graph of f, solve the equation .... 
Math (Slope of inverse tangent line)
Given the graph, goo.gl/photos/VTMjKvNsVvAQwe3X6 a) What is the slope of the tangent line to the graph of f^1 at the point (1/2,1)? b) What is the slope of the tangent line to the graph of f^1 at the point (1,2)? 
Applied Calculus......
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x)=6x5x^2 at (2, 32) I have to use the four step process, but seem to be getting stuck... 
calculus
Find the equation of the line tangent to the graph of the given function at the point with the indicated xcoordinate. f(x)=(4 sqrt(x)+7)/(sqrt(x)+2); text( ) x=4 
math
This is a continuous from my last question Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2) with x ≠ 2. On what intervals is the graph of g concave down? Justify your answer. It ... 
calculus
Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. Find all values of x where the graph of g has a critical value. For each critical value, state whether the graph of g has a local ... 
Calculus
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 ... 
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 ... 
Math Calc 1
1. At what point does the normal line to the curve x^2  XY + Y^2 = 3 at the point (1,1) intersect the curve again? 2. Find the constants A, B so that if Y = Asin X = B cos X, then Y satisfies the differential equation Y" + 2Y = 0. 3. Find the points om he graph of Y  e^x  e... 
Math Calc 1
1. At what point does the normal line to the curve x^2  XY + Y^2 = 3 at the point (1,1) intersect the curve again? 2. Find the constants A, B so that if Y=A*sin X + B cos X, then Y satisfies the differential equation Y" + 2Y = 0. 3. Find the points on he graph of Y = e^x  e... 
Algebra
graph the equation x3=y (where do I plot the points?) find the intercepts and then graph: 5x+4y=20 find the intercepts and then graph: 1.4x1.3y=3.64 graph the equation using slope and yintercept: y=10/7x +4 graph using slope and yintercept: x+2y=8 graph by plotting points ... 
Calc
1. At what point does the normal line to the curve x^2  XY + Y^2 = 3 at the point (1,1) intersect the curve again? 2. Find the constants A, B so that if Y=A*sin X + B cos X, then Y satisfies the differential equation Y" + 2Y = 0. 3. Find the points on he graph of Y = e^x  e... 
math
Note: y^1 means the deriviative of... If f(2)=3 and y^1(2)=5 find an equation of the tangent line and the normal line to the graph of y=f(x) at the point where x=2. 
Calculus
If f(2)=3 and f'(2)=5, find an equation of a. The tangent line b. The normal line to the graph of y=f(x) at the point where x=2 So I plotted (2,3) and (2,5)...but that's not getting anywhere... Thanks 
Math Please Help!!
Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x)=10/3x^2+6x+6; (1, 10/3) slope ?? tangent line y = ? 
Calculus
Given the function defined as f(x)=x^3(3/2)x^26x+10 a) Explain why f(x) must have a root between x=3 and x=2 b) Write an equation of the line perpendicular to the graph of f at x=0 c) Find the x and y coordinates of the point on the graph of f where the line tangent to the... 
Calculus
Given the function defined as f(x)=x^3(3/2)x^26x+10 a) Explain why f(x) must have a root between x=3 and x=2 b) Write an equation of the line perpendicular to the graph of f at x=0 c) Find the x and y coordinates of the point on the graph of f where the line tangent to the... 
Calculus  Damon
Find the line which passes through the point (0, 1/4) and is tangent to the curve y=x^3 at some point. So I found the derivative which is 3x^2. Let (a, a3) be the point of tangency. 3x^2 = (a3  1/4)/(a0) I'm not sure how to solve for a. Yes, the point is (0,1/4) but it's not... 
calculus
Find the point on the curve y =2/3 〖√(18x^2 )〗 (first quadrant) where a tangent line may be drawn so that the area of the triangle formed by the tangent line and the coordinate axes is a minimum. 
math
Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x)=10/3x^2+6x+6; (1, 10/3) slope ?? tangent line y = ? 
Calculus
Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x) = 8/5 x^2 + 7 x + 7;(1, 8/5) slope tangent line y = 
AP Calculus
Find an equation of the tangent line to the graph of f at the given point. f(x)=27/(x^2+9) (3,3/2) I got y=x/2+3, but I don't think its right.. please help! 
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 xaxis) and two line ... 
Calc
Write the equation of the line tangent to the graph of the function at the indicated point. As a check, graph both the function and the tangent line you found to see whether it looks correct. (1/x^3 x)^2 at x= 2 
Calculus
I asked for help on a question yesterday and I got really good help and I was wondering if someone could help with this problem too. This is the question: Find an equation of the line through the point (1,3) that cuts off the least area from the first quadrant. My work on the ... 
Math (Calculus 121)
The derivative tells you the slope at any point. df/dx = 8 x^3  12 x When x = 3, the slope is m = 8*27  36 = 180 and the equation of the tangent line is (y  228) = 180*(x  3) y = 180 x  540 + 228 = 180 x  312 wow, that was absolutely correct (i just plugged it into ... 
calculus
8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x)  5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the xcoordinate where the graph of the function f(x) = e^(cosx) has a slope of 0. 12. If the slope of a ... 
calculus
find an equation of the tangent line to the curve at the given point. graph the curve and the tangent line y=x/x1 at (2,2) ) 
Geometry Multiple Choice Question Please Help!
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12. There is a line perpendicular to the tangent that... 
Calculus
Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the point of tangency (x, y) on the graph of f, solve the following equation of f '(x). f '(x) = y0 − y/x0 − x f(x) = √x (x0, y0) = (16, ... 
Calculus
1. On what interval is the function f(x)=x^34x^2+5x concave upward? 2. For what values of x dies the graph of f(x)=2x^33x^26x+87 have a horizontal tangent? Is there no solution because the equation can't be factored? 3. At what point on the curve y=1+2e^x  3x is the ... 
math
y = 2.5 ·4^x as the equation for the blue line shown in the graph, rather than the equation given in your text. Note that your line will now be tangent to the graph at the point ( 0, 2.5 ). Enter the value of c here 
Algebra
Given a line containing the points(1,4), (2,7) and (3,10) determine that slopeintercept form of the equation, provide one additional point on this line, and graph the funtion. Start by putting the first point into pointslope form: yy1=m(xx1), so y4=m(x1). Slope, or m, is... 
Calculus
Find the equation of the tangent line and the normal line to the graph of the equation at the indicated point. x^2y^2=16, (5,3) I need to show work, so answers formatted in this manner would be most appreciated. Thanks! :) :) 
Calculus
The line y=2x+b is tangent to the graph of y=x^1/2 at the point P=(a, a^1/2). Find P and determine b. I don't know what to do because they don't give you the x coordinate or anything to plug into the derivative. Help? 
Calculus
1) An equation of the line contains points (7/9, 7) and (7/9) is 2) Find the slope of the line tangent to the curve y=x^2 at the point (0.6, 0.36) and find the corresponding equation of the tangent line 
Math (equation of tangent line)
Consider the implicit equation 2xy1=(x+y+1)^2 a) Compute and solve for the derivative dy/dx as a function of x and y. b) Find the equation of the tangent line to the graph of the above when y=1. For part a, I found the derivative being equal (x+1)/(y+1) but how would I find... 
GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12. There is a line perpendicular to the tangent that... 
Calc II
1) Find the point on the graph of y=x^2 where the cube has slope 5/2 2) Find the point on the graph of y=x^2 where the tangent line is parallel to the line 4x+3y=3 
math graphs
4. Which equation would you use to find out if the two lines in the graph are parallel? (1 point) LINE #1: point a: 1, 4 point b: 2, 1 LINE #2: point c: 3, 3 point d: 1, 1 a. 4  1/2  1 = 3  1/3  1 b. 4  1/2  1 = 3  (1)/3  (1) c. 4  1/1  (2) = 3  (1)/3  (1... 
find the point
At what point of the graph of x^2 / 2 is the tangent line parallel to the line 2x4y = 3 TIA 
Calculus
If F(x)=x^3−7x+5, use the limit definition of the derivative to find FŒ(5), then find an equation of the tangent line to the curve y=x^3−7x+5 at the point (5, 95). FŒ(5)= The equation of the tangent line is y = x + . Check your answer for yourself by graphing... 
graphing question
Write the equation of the line with slope 4 and yintercept (0, –5). Then graph the line i wrote the equation which i think is y=4x5 i point the y intercept (0,5) in the graph how do i find the other point would the 4x become 4/1 x y=4/1x5 then move run and rise run of 1 ... 
calculus
The function f is defined by f(x) = x^3  x^2  4x + 4 The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0, 8) which is not on the graph of f. Find the values of a and b. I have no clue how to solve this I know the ... 
calc
The function f is defined by f(x) = x^3  x^2  4x + 4 The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0, 8) which is not on the graph of f. Find the values of a and b. I have no clue how to solve this I know 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...