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The equation of the tangent line to f(x) = \sqrt{x} at x = 49 is y =

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Math
the equation of striaght line is 2x-3y+8=0 find the equation of the straight line passing through (4,-2)and parallel to L

algebra
what should be the equation of the line in standard form that passes through (4,6) and is parallel to the line where equation is y=2/3x +5?

Geometry
Write an equation of the line that pass through point P and is parallel to the line with the given equation. P(3,5); y=4

Geometry
Write an equation of the line that pass through point P and is perpendicular to the line with the given equation. P(3,5); y=4

algebra
last one write an equation of the line that passess through 10,-4 and is perpendicular to the line whose equation is y=2/5x+8 help

Geometry
Find an equation of the line passing through the point (6,5) and perpendicular to the line whose equation is 2y+3x=6

Algebra
True or False. If a line L1 has equation y = mx + b, where m and b are constants with m ‚ 0,then an equation of a line L2 perpendicular to L1 has the form , where C is a constant. L2: y= -1x +C

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...

algebra
Which choice could be the equation of a line perpendicular to the line represented by this equation? y = 5 for this question, i put this: y = -1/5x but, it says i am wrong. how is that? 5 is 5/1, and so the negative reciprocal of 5/1 would be -1/5, right?

prob and stats
Using the data from question #1, what is the equation of the line of best fit? (For future reference: line of best fit, linear regression equation, and least-squares line are all the same thing y=ax+b). Round your answers to the nearest tenth. x : {20,30,45,60,80,90,45,120,90,...

Math (Perpendicular equation)
Write the equation for the line through the given point and perpendicular to the given line. Point: (4/5,9/10) Line: 6x-4y=0 I tried doing this problem and got 0=-4/6x-y+43/30 as the perpendicular equation. Is this correct?

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 ...

Calculus
Find an equation of the tangent line to the given curve at the given point y=(1/cosx)-2cosx at((pi/3),1) y'=0+2sinx slope = √3 y=mx+b 1=(√3)(pi/3)+b b=(3-√3pi)/3 3√3x-3y+3-√3pi=0 What did I do wrong? Thanks in advance.

algebra
Simplify: sqrt()80/16 a) sqrt()5/4 b) sqrt()4/5 c) sqrt()5 d) sqrt()4 a

algebra
Simplify: 3 sqrt () 2 + 5 sqrt () 2 a) 8 sqrt () 2 b) 15 sqrt () 2 c) 16 d) 16 sqrt () 2

algebra
Simplify: 2 sqrt (3) + 4 sqrt (3) a) 18 b) sqrt (9) c) 8 sqrt (3) d) 6 sqrt (3) d

algebra
simplify: sqrt (25) / (16) a) 5/4 b) sqrt (5)/(4) c) sqrt (5)/ sqrt (4) d) 16 sqrt (5) / 4

algebra
simplify: sqrt (7) / (9) a) sqrt 7 b) sqrt (63) / 3 c) sqrt (63) / 3 d) sqrt (7) / (3)

algebra
simplify: sqrt (3/8) a)3/4 b) sqrt(3) / 2 sqrt(2) c) 3/ sqrt (2) d)sqrt(6/4)

algebra
simplify: sqrt (7/9) a0 sqrt (7) b) sqrt (63/3) c) sqrt (63/3) d) sqrt (7/3) d

algebra
simplify: sqrt(24) a) 6 sqrt (2) b) 4 sqrt (6) c) 4 sqrt (2) d) 2 sqrt (6) d

calculus
The slope of the tangent line to the parabola y=3x^2+6x+5 at the point (-3,14)

Calculus
Find the slope of the tangent line to the curve at (2,1) x/y + x^2y^2 = 6

Cal
Find the slope of the tangent line to the curve at (2,1) x/y + x^2y^2 = 6

calculus ap
what is the slope of the line tangent to the curve y^3+x^2y^2-3x^3=9 at the point (1,2)?

business calculus
find the slope of the tangent line y= -5x^1/2 + X^3/2; X=25

Calc
Find f(x) if f(1) = −1 and the tangent line at (x, f(x)) has slope7ex + 6. F(x)=

math
If the line 3x-4y = 0 is tangent in the first quadrant to the curve y = x^3 + k, then k is

math
Find the slope of the tangent line to the curve (x + (e^-x))^2 at (0,1)

Calculus
The graph of f(x)=(ax+b)/(x^2 - 5x + 4) has a horizontal tangent line at (2, -1). Find a and b

Applied Calc
f(x) = 7x-4x^ at (-2,-30) find slope m of tangent line

Calculus
If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is a: 1/2 b: 1/4 c: 0 d: -1/8 e: -1/2

calculus
What is the slope of the line tangent to the quadratic f(x)=4x^2−3x+6 at x=7?

Calculus
Find k such that the line [y=5x-4] is tangent to the function : x^2-kx

Math
Find k such that the line [y=5x-4] is tangent to the function : x^2-kx

brief calculus
Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope 6/x

Math
find the points on x^2+y^2=11 where the tangent line has slope 11/60

Caculus f'(x)
For what values of a and b is the line –2x+y=b tangent to the curve y=ax^3 when x=–2? a= ? b= ? Thanks guys!

math class
If f (3) = 9 and f ´(3) = 4, find the tangent line to the graph of f when x = 3. y = 4x - 3 y = 4x + 21 y = 9x - 23 y = 9x + 31

Calculus
The slope of the line tangent to the curve xy+(y+1)^2=6 at the point (2, 1) is

math
For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5?

Math
Find the y-intercept of the tangent line to y=-0.2/ã(6+5x) at (2.5,-0.0464990554975277) Thanks

Math
What is the slope of the tangent line to the graph at f(x)=x^2-5 at the point (2,-1)?

Maths
Given that the line y=mx+c is a tangent to the circle (x-a)^2+(y-b)^2 = r^2 show that: (1-m^2)r^2=(c-b+ma)^2

Maths
Given that the line y=mx+c is a tangent to the circle (x-a)^2+(y-b)^2 = r^2 show that: (1-m^2)r^2=(c-b+ma)^2

maths, please help!
I need help solving this: 6x^2-x-12=0 I usually could do this yet i have completely forgotten what i need to do seeing as there is a number infront of the x^2 This equation is of the general form a x^2 + bx + c = 0 The solution is always x = [-b +/- sqrt (b^2 - 4ac)]/(2a) = [1...

calculus
Find a number x0 between 0 and pi such that the tangent line to the curve y = sin x at x = x0 is parallel to the line y = -x=2. I get that for both lines to be parallel to each other their slopes need to be the same. I found -1/2 = cos(x) but I get stuck here. What exactly am...

Math
Write an equation in the indicated form for each statement described below. (A graph shows two lines intersecting at x=-2 and y= 1 in a tilted X shape) A. Write an equation in slope-intercept form for the line parallel to the red line and going through the point (3,5). B. ...

math,correction
can someone correct this for me plz.... Write the equation of the line L satisfying the given geometric conditions. (#1)L has y-intercept (0, -3) and is parallel to the line with equation y = (2)/(3)x + 1. My answer:

algebra
Find an equation of the line containing the give pair of points. (-2, -1), and (-7, -4). The equation of the line in slope - intercept form is y= I 've tried this problem and can not seem to get could please help me.

algebra
Find an equation of the line having slope and containing the given point. M=4/5, (3, -7) The equation of the line is Y= I have tried to work this problem and could not get the answer. Please help me.

Math
Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-7, 2) and is perpendicular to the line 4x − y = 4

math!!
I have no idea how to do this!!! Let ΔABC be a triangle such that b=sqrt(3), c=sqrt(10), and cos(B)=3/sqrt(10). Find all possible values for side length a. Please show work

Algebra
Write an equation of the line that passes through (9,6) and is perpendicular to the line whose equation is y = -1/3x +7 y-y1=m(x-x1) y-6=3(x-9) y-6=3x-27 y=3x-21

Algebra II
write an equation for the line that passes through (0,7) and is perpendicular to the line whose equation is y=1/2x-1

Geometry
The line L1 has the equation y=3x. The line L2 is perpendicular to L1 and passes through the point P(0,0). Write an equation of L2

algerbra 1
i wrote an equation of a line that passesthrough the point (2,-3) and has a slope of -3 which equation represents my line?

algebra
find the equation for the line that passes through the point (-5,-1) and that os parallel to the line with the equation -x+2y=5

algebra
Need help on the following questions. What is the y-intercept of a line with the equation (y - 3) = 5(x + 2) and What is the slope of a line with the equation y = -x + 6

algebra
find an equation of the line containing the given pair of points. (-9,0) and (0,4) what is the equation of the line? y=?

algebra
find an equation of the line containing the given pair of points. (-9,0) and (0,4) what is the equation of the line? y=?

Calculus
Let L1 be the line with the vector equation r= (-2,3) +s(-1,3), seR. Let L2 be with the line with parametric equation x=3t+2, y=t-7, teR. Are L1 and L2 perpendicular? How do you know?

College Algebra
write an equation for the line that passes though (3,3) and is parallel to the line with equation 4x+y-5=0

AlGEBRA 2 (check answers plz)
What is the equation of the line that has a slope of -2 and a y-intercept of -7? y = -2x - 7 <-- y = -7x - 2 y = -2x + 7 y = -7x + 2 or <-- Find the equation of the line that has a slope of 4 and contains the point (-4, 1). y = 4x + 1 <-- y = 4x - 8 y = 4x - 15 y = 4x...

calculus
Integrate: dx/sqrt(x^2-9) Answer: ln(x + sqrt(x^2 - 9)) + C I'm getting the wrong answer. Where am I going wrong: Substitute: x = 3 * sec t sqrt(x^2 - 9) = sqrt(3) * tan t dx = sqrt(3) * sec t * tan t Integral simplifies to: sec t dt Integrates to: ln|sec t + tan t| + C t = ...

Math
What's the slop of the line whose equation is 8y = 7 - 2y? the slope would be zero. if you add '2y' to the other side, then your equation will be 10y=7. If you divide 10 on both sides, the new equation will be y=7/10. That will be a straight line, so the slope will be zero.

Algebra
for each equation tell weather its graph is a horizontal or a vertical line y=-4 write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation (1,3);y=3x+2

Math. HELP!
1. What is an equation for the line with slope 2/3 and y-intercept 9? 2. What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1). 3. For the equation -4y = 8x, what is the constant of variation? 4. Suppose y varies directly with...

Algebra2
Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3. #1 Use the quadratic equation for the roots [-b...

Trig Practice
Find the exact value of sinA where a=9 and b=10 and angle C is a right angle. a. sin A= 9/sqrt 181, cos A= sqrt 181/10 b. sin A= sqrt 181/9, cos A= 10/sqrt 181 c. sin A= 9/sqrt 181, cos A= 10/sqrt 181 d. sin A=sqrt181/10, cos A= 9/sqrt 181

math
I need help with "write in equation in slope-intercept form for the line that is parallel to to the given line line and and that passes through the given point. y=1/2x=5;(4,-3) How do you find a line that is perpendicular. Please and thank you! :)

precalculus
Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form. (c) Graph both of these lines on the ...

algebra 2
Not sure if either one of these answer are correct to simplify the sqrt for 24 1) 24 = 6 x 4 square root of 24 = square root of 6 x 4 2 root 6 2) sq root 24 = sq root (4x6)= sqrt 4 x sqrt 6= 2sq root 6=4.89898 3) Square root of 24 =sqrt (24) =sqrt(4*6) =2sqrt(6) = 2*square ...

Physics
Hello everyone, I have made measurements of the periods of a pendulum attached to a stationary point at a certain height h. When plotting the periods as a function of the square root of the length minus the height it gives us a straight line. I now need to prove that this line...

parallell and perpendicular lines
please check my homework given P(7,2) and the line y + 3x=7 find the equation for the line parallel line: y+3x+7 y=-3(x-7) +7 y-2=-3x+21+7 y=-3x+28+2 y=-3x+30 perpendicular line: y-2=1/3(x-7) +7 y-2=1/3x-7/3 +21/3 y-2==1/3x + 14 y=1/3x + 14 +2 y=1/3x +16

Calculus PLEASE check my work ,
1.) which of the following represents dy/dx when y=e^-2x Sec(3x)? A.3e^-2x sec(3x) tan (3x)-2e^-2x Sec(3x)<<<< my choice B.)3e^-2x sec(3x)tan (3x)-2xe^-2x sec(3x) C.)3e^-2x sec(3x)tan (x)-2e^-2x Sec(3x) D.)3e^-2x sec(3x)tan (x)-2xe^-2x sec(3x) 2.)calculate dy/dx if...

calculus
the point (1,9) lies on the graph of an equation y=f(x) for which dy/dx=4x(sqrt(y)) where x is greater than or equal to 0 and y is greater than or equal to 0 a)6 b)4 c)2 d)sqrt(2) e)0

Calc
"Consider the surface given by 4x^2-y^2+5z^2-10z=55. a) Find all points on the surface at which the tangent plane is parallel to the plane 8x+y+15z=1. b) Pick one of these points and give the equation of the tangent plane to the surface at that point." Could someone help me ...

math
Dave is going to leave academia and go into business building grain silos. A grain silo is a cylinder with a hemispherical top, used to store grain for farm animals. Here is a 3D view, a cross-section, and the top view. If Dave is standing next to a silo of cross-sectional ...

PreCalculus
Ok I know that the slope of a straight line is the same thing as x with a dot aboce it or simply the first derivative of x on the unit circle tangent gives you the slope of the reference line right? This can be expressed using the notation expressed above but how? Thanks!

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: (y-y1)=m(x-x1) y-0 = 2(x-0) which comes out to y=2x 0=2x ; so the ...

Math
The graph of the equation y=4-x consists of all the points in the coordinate plane that satisfy the equation. List 5 points that satisfy y= 4-x. Also, what do you think is the minimum number of points you need to plot in order to draw the graph of y=4-x. Please explain Set y=0...

Physics
A mass m is hanging on a string that passes over a pulley and is then attached to another mass 3m that is resting on a horizontal table (along with the pulley). Neglect friction. Mass m is held montionless and is then released. When it has fallen a distance h, it will have a ...

Calculus
2sin(2theta) + sqrt(3) = 0 interval (0,2pi) How do I solve this? I thought about maybe subtracting the sqrt(3) from both sides, so that i would have 2sin(2theta) = -sqrt(3) Then maybe dividing by two? sin(2theta) = -sqrt(3)/2 Am I doing anything right here? It's been a long ...

Physics
An umbrella with a diameter of 1 m turns 22 rev every 44 seconds. If it's 1.5 m from the ground, calculate the time it takes for a drop to reach the ground and the distance away from the umbrella a person should stand so as to not get wet. For this problem I made a = (0, -g) ...

math
Find the distance between (–3, –2) and (1, 4). (1, 4) - (–3, –2) = (1- -3, 4 - -2) = (1+3, 4+2) = (4,6) |(4,6)| = sqrt[4^2 + 6^2] = sqrt[52] = 2 sqrt[13]

Math
Simplify the expressions. 1. sqrt(40/169) 2. sqrt(18/13) 3. sqrt(45/32)

Math
Solve: sqrt(7x-5)+sqrt(15x+4)=sqrt(30x+31)

Math
Solve: sqrt(7x-5)+sqrt(15x+4)=sqrt(30x+31)

Math
Simplify - sqrt 12b^2 * 2 sqrt 8b. I got -8 sqrt 6

Calculus
Differentiate the given function. f(t)= 4(sqrt(t^3)) + 14/sqrt(t) - sqrt(17) f'(t)=?

college 209
multiply (2 sqrt 7 -5 sqrt 3)(8 sqrt7-5 sqrt 3)

Class 12th : Calculus
If y = sqrt(x-1)+sqrt(x+1),prove that sqrt(x^2-1)dy/dx=1y/2

Math (Reflection across y=x line)
Here's a question that I am having trouble with: What is the resulting equation when y=x^3+2x^2 is reflected across the y=x line? I know that I need to switch the y with the x's in the equation, so is the answer they're looking for simply x=y^3+2y^2 or do I need to simplify ...

Calculus
a)The curve with equation: 2y^3 + y^2 - y^5 = x^4 - 2x^3 + x^2 has been linked to a bouncing wagon. Use a computer algebra system to graph this curve and discover why. b)At how many points does this curve have horizontal tangent lines? Find the x-coordinates of these points. I...

maths
What would the equation be of a straight line that passes through the points (1,1) and (3,3) ?? write the equation for the line: y= mx+ b put the first set of points in.. 1=1m + b then the second equation 3=3m + b subtract the equations... 2=2m so you know m. Put that into ...

MAT221
consider the line 8x-5y=-4 find the equation of the line that is perpendicular to this line and passes through the point (-4,-4) find the equation of the line that is parallel to this line and passes through the point (-4, -4) i keep getting different answers on the ...

maths
which solution is the correct for this equation 4x^3 - 3x = 15 -1.8, -1.7, -1.6, -1.5, 1.5, 1.6, 1.7, 1.8 ?? What is your thinking, and why? Have you considered graphing y= 4x^3 -3x -15 ? Kat, what level of study are you at. This is an equation which can be "solved" only by ...

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