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

44,324 results, page 13

Calculus

(A) Find the equations of the tangent lines to the circle x^2 +y^2=25 at the points where x=4. (B) Find the equations of the normal lines to this circle at the same points. (The normal line is perpendicular to the tangent line at that point.) (C) At what point do the two ...

Physics check

A performer, seated on a trapeze, is swinging back and forth with a period of 9.55 s. If she stands up, thus raising the center of mass of the trapeze + performer system by 20.0 cm, what will be the new period of the system? Treat trapeze + performer as a simple pendulum. (a) ...

algebra

Find the equation of the line passing through the points: (-5,-5) and (6,-5) Hmmm. both y are -5. The line has to have zero slope, and the y intercept is -5 y= -5 is the equation Thank You

Algebra

Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1 I will be happy to critique your work on this. y=(2/3)x-3?

algebra essentials

Find an equation for the line that contains each pair of points. If the line is not vertical. Write the equation in slope-intercept form. X(4,5,0) and Y(0,4,5)

math

I have the point slope equation of a line as y-500=(-4/3)x+(188/3) how would i convert this equation into the normal form of a line?

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

Write an equation for the line that passes through (0,7) and is perpendicular to the line whose equation is y=1/2x-1. y-y1=m(x-x1) y-7=2/1(x-0) y-7=2x-0 y=2x+7(answer)

math

Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).

Algebra 1

Find an equation of the line containing the given pair of points. (1/4,-1/2) and (3/4,5). What is the equation of the line? y= Thank you for all your help.

math problem

find the equation of the line containing given pair of poins (-6,0) and (0,5) what is the equation line y=

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

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 ...

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?

Math

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-8, 5) and is perpendicular to the line 2x − y = 4

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

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?

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.

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

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)?

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

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

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 = ...

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...

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

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. ...

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...

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

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 ...

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

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

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...

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

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

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...

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 ...

Math

What is the solution of the following equation? 2 – 8x = -6 Is the ordered pair (-2, 9) a solution of the equation y = x - 7? Solve the following equation. 3(z – 2) – z = 4z – 20 Find the slope of the line that passes through the points (4, 8) and (10, 5) using the ...

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...

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!

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

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 ...

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 ...

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...

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)