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

43,373 results

**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 ...