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

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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, 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!!
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

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

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 = ...

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...

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

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...

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 ...

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

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

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

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...

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 ...

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 ...

AP CALC
The function g is given by the formula g(x)= ∫[0,x/2] e^(-t^2)dt. An equation for the tangent line to the graph of g at the point x=1 is a) y-0.461=0.779(x-1) b) y-0.461=0.389(x-1) c) y-0.461=1.558(x-1) d) y-0.461=0.184(x-1) e) y-0.461=0.368(x-1) I took the derivative ...

math
find the eq to the tangent line to the curve y=x^3 g(x) at x=1 if g(1)=2 f(1)=3 f'(1)=1 g'(1)=-2 i cant understand how the answer is y=4x-2

Samuel
Near x=0, the tangent line approximation gives e^(−3x)

Math
Determine the slope of the tangent line to the curve y=2x^3-3x^2+1 at the point (1,0)

Calculus
Determine the slope of the tangent line to the curve y=2x^3-3x^2+1 at the point (1,0)

Math
Determine the slope of the tangent line to the curve y=2x^3-3x^2+1 at the point (1,0)

math
At what values of x does the function f(x)= x(x-4)^4 have a horizontal tangent line?

calculus
At what values of x does the function f(x)= x(x-4)^4 have a horizontal tangent line?

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

Calculus
Find the slope of the tangent line to the ellipse (x^2)/4 + (y^2)/9 = 1 at the point (x,y)

Math Calc
Find the tangent line to the curve (y-x)^2= 2y+4 at the point (2,6)

Calculus
If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).

Calculus
If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).

CALC
Find the tangent line to the ellipse defined by 3x^2 + 5y^2 = 17 at the point (-2, 1).

calculus
find the slope of the tangent line at the point P(1,1) on the graph of e^x-y=2x^2-y^2

calculus
Let f(x)=(x^2)+x+14. What is the value of f(x) for which the tangent line to the graph of y=f(x) is parallel to the x-axis?

math
find tangent line to the circle x^2 + y^2=100 at point (-6,8)

Calculus
what is the slope of the line tangent to the curve (/x)^2 at point (4,16) * (/x)= the squareroot of x

calculus
find the slope of the tangent line at the point (1,2) for the ellipse 2x^2+3y^2=14 y'(1) = ??

Calculus grade 12
find the slope of the tangent line to y^4 = 3x^2 - 2x at the point (1,1)

calc
Find the slope of the tangent line to the graph y = x-3 at the point (0.5, 8)

Math (Help please)
Find the points on y=(-x^2+4x-3)^3 that has a horizontal tangent line.

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