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The point (1,0) lies on the curve y=sin(10π/x). A) if Q is the point (x,sin(10π/x), find the slope of the secant line PQ. Points are 2,1.5,1.4,1.3,1.2,1.1,0.5,0.6,0.7,0.8,0.9 Do slopes appear to be approaching a limit? There is no 10π/x on the

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  1. Calc 1

    The point (1,0) lies on the curve y=sin(10π/x). A) if Q is the point (x,sin(10π/x), find the slope of the secant line PQ. Points are 2,1.5,1.4,1.3,1.2,1.1,0.5,0.6,0.7,0.8,0.9 Do slopes appear to be approaching a limit? There is no 10π/x on the unit
  2. Pre-Calc : Find the Exact Value of the Expression

    Find the exact value of the expression without a calculator: sin(3π/4+5π/6) I've done: sin(9π/12 + 10π/12) =sin(19π/12) What do I do now? Im confused if that would just be the answer or what? Wouldnt the answer be numerical?
  3. Calculus re-post

    Does anybody know how to solve this question? a) Find the arc length function for the curve measured from the point P in the direction of increasing t from P and then reparametrize the curve with respect to arc length starting from P. b) Find the point 4
  4. Precalculus

    sin^2(2x)=2sinxcosx. Find all solutions to each equation in the interval [0, 2pi) So I started off changing 2sinxcosx = sin(2x), and my equation ended as sin^2(2x) = sin(2x). I subtracted sin(2x) by both sides and factored out sin(2x). my equation ended
  5. Math

    Given that x²cos y-sin y=0 ,(0,π): a)verfiy that given point is on the curve. b)use implicit differentiation to find the slope of the above curve at the given point. c)find the equation for tangent and normal to the curve at that point.
  6. Maths

    Eq of curve is y=b sin^2(pi.x/a). Find mean value for part of curve where x lies between b and a. I have gone thus far- y=b[1-cos(2pi x/a)/2]/2 Integral y from a to b=b/2(b-a)-ab/4pi[sin(2pi b/a)-sin2pi) MV=b/2-[ab sin(2pi b/a)]/(b-a) Ans given is b/a. I
  7. Calculus

    R(t)=e^t sin(t)i+ e^t cos(t) + √(2e^t)k a) Find the arc length function for the curve measured from the point in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P. b) Find the point 4 units along
  8. Calculus

    Consider the curve given by x^ 2 +sin(xy)+3y^ 2 =C, where Cis a constant. The point (1, 1) lies on this curve. Use the tangent line approximation to approximate the y-coordinate when x = 1.01 .
  9. Calculus

    Find an equation of the tangent line to the curve at the given point. y = sin(sin x), (pi, 0)
  10. Calc I

    Find an equation of the tangent to the curve at the given point. y=4(sinx)^2 point: pi/6,1) So I took the derivative of the original function to get: y' = 8cosx*sinx I then chose a point to plug in to find a point for the slope. i picked pi/6 because i
  11. MATHS...PLEASE HELP

    Differentiate sin(cubed)x with respect to x. Hence �find (integration sign) sin(squared) x cosx dx. ALSO Find the equation of the tangent to the curve y = 2 sin(x-(pie divided by 6)) at the point where x = (pie divided by 3) .
  12. trigonometry

    y=−34 sin(10θ+10π)−14 I need to graph this trigonometry problem. I need the parent graph, period, vertical shift, phase shift, a separate graph showing the new mid line with the amplitude and a final product graph. thanks for any help :)
  13. calculus

    Find complete length of curve r=a sin^3(theta/3). I have gone thus- (theta written as t) r^2= a^2 sin^6 t/3 and (dr/dt)^2=a^2 sin^4(t/3)cos^2(t/3) s=Int Sqrt[a^2 sin^6 t/3+a^2 sin^4(t/3)cos^2(t/3)]dt =a Int Sqrt[sin^4(t/3){(sin^2(t/3)+cos^2(t/3)}]dt=a Int
  14. TRIG!

    Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 x = (sin^2x)^3 +
  15. Trigonometry

    2. Choose the point that lies on the curve r = 2 – 3 sin θ. A. (-5, 3π/2) B. (–2, π) C. (1, π/2) D. (5, π/2 3. Which of the following is not an approximate solution of x5 – 1 = 0? A. 0.3090 – 0.9511i B. 0.8090 + 0.5878i C. 0.3090 + 0.9511i D.
  16. trigonometry

    2. Choose the point that lies on the curve r = 2 – 3 sin θ. A. (-5, 3π/2) B. (–2, π) C. (1, π/2) D. (5, π/2 3. Which of the following is not an approximate solution of x5 – 1 = 0? A. 0.3090 – 0.9511i B. 0.8090 + 0.5878i C. 0.3090 + 0.9511i D.
  17. trigonometry

    2. Choose the point that lies on the curve r = 2 – 3 sin θ. A. (-5, 3π/2) B. (–2, π) C. (1, π/2) D. (5, π/2 3. Which of the following is not an approximate solution of x5 – 1 = 0? A. 0.3090 – 0.9511i B. 0.8090 + 0.5878i C. 0.3090 + 0.9511i D.
  18. Trigonometry

    2. Choose the point that lies on the curve r = 2 – 3 sin θ. A. (-5, 3π/2)
  19. Trigonometry

    Please check if i did right! 2. Choose the point that lies on the curve r = 2 – 3 sin θ. A. (-5, 3π/2)
  20. 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
  21. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin
  22. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin
  23. 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
  24. 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
  25. Mathmatics

    Find equation of tangent to curve at given point. x=cos(t)+cos(2t) y=sin(t)+sin(2t) (-1,1)
  26. trig

    If point G(a,b) lies on the terminal side of angle theta in standard position, what is the value of sin(theta) if point G also lies on the unit circle?
  27. calculus

    Determine the equation of a curve in the xy-plane that passes through the point (0, 1) and has the slope x2 sin 4x at any point (x, y) on the curve.
  28. calculus

    Find the points on the curve y= (cos x)/(2 + sin x) at which the tangent is horizontal. I am not sure, but would I find the derivative first: y'= [(2 + sin x)(-sin x) - (cos x)(cos x)]/(2 + sin x)^2 But then I don't know what to do or if that is even
  29. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=-1 Is sin sin (1/x)=0 and sin (1/x)=-1 does not exist. What is sin (1/x)=1 then.
  30. tigonometry

    expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by -b and using that cos(-b)= cos(b) sin(-b)= -sin(b) gives: sin(a-b) = sin(a)cos(b) - cos(a)sin(b) Add the two equations:
  31. Related Rates

    A particle moves along a path described by y=x^2. At what point along the curve are x and y changing at the same rate? Find this rate if at time t we have x=sin t and y= sin^2t. I solved the first part and got (1/2, 1/4), but I have no idea how to tackle
  32. Calculus

    Find any critical numbers of the function f(Ø)= 2secØ +tanØ, 10π < Ø < 12π A. 67π/6 B. 71π/6 C. 63π/6 D. A and B
  33. algebra

    Can someone please help me do this problem? That would be great! Simplify the expression: sin theta + cos theta * cot theta I'll use A for theta. Cot A = sin A / cos A Therefore: sin A + (cos A * sin A / cos A) = sin A + sin A = 2 sin A I hope this will
  34. Calculus

    Hello, Could somebody kindly check my answer for the following question? Find the derivative of the following function: h(x)=3e^(sin(x+2)) h'(x)=3'(e^(sin(x+2))+3(e^(sin(x+2))' h'(x)=0(e^(sin(x+2))+3(e^(sin(x+2))(cos(1)) h'(x)=3cos1(e^(sin(x+2)) I would
  35. Physics

    Suppose an advancing plane wave is represented by the quality y=03sin (30nt-10π÷16)m Find (i)amplitude (ii)frequency
  36. calculus

    hey can someone help me with these i need help Consider the curve given by x2 + sin(xy) + 3y2 = C, where C is a constant. The point (1, 1) lies on this curve. Use the tangent line approximation to approximate the y-coordinate when x = 1.01. Question 19
  37. pre calculus and trigonometry

    already posted these questions but i could not find the post find all solutions from 0 degrees to 360 degrees 1. 4 sin^2x – 1 = 0 2. 2 sin^2x + sin x = 1 3. 2 sin^2x + 7 sin x = 4 4. cos x sin x + sin x = 0 5. 2 sin^2x - 1 = 0
  38. TRIGONOMETRY

    Can you check my work, please? This is for a trig study guide for my final next week. I'd like to know if I'm doing this right. :) 2. The polar coordinates of a point are given. Find the rectangular coordinates of each point. a. (5,(π / 4)) b. (-2,(π /
  39. Calculus

    Use a Riemann sum with n = 3 terms and the right endpoint rule to approx. ∫(1, 2) sin(1/x)dx. My teacher just needs the terms written out, no need to add or multiply. This is a problem she did up on the board, so here's her answer: sin(4/3)(1/3) +
  40. Trigonometry

    Solve the equation for solutions in the interval 0
  41. Calculus

    Graph the curve r(t)=(sin(3t),sin(2t),sin(3t)) At how many points on the curve does t appear that the curvature has a local or absolute maximum? I don't know how to graph this by hand or calculator. Any suggest.
  42. calculus

    y sin 12x = x cos 2y, (pi/2, pi/4) Find the tangent line to the curve at the given point. y=???
  43. Calculus Help 3 Questions

    3.The position (feet traveled) of a car is given by the equation s(t)= 4t2 + 4t. Find the time when the car is going the same speed as its average speed over the interval 0 to 10 seconds. A)t=0 B)t=2.5 C)t=5 D)t=10 E)Never 4. Consider the curve given by x2
  44. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=-1 Is sin sin (1/x)=0 and sin (1/x)=-1 does not exist. What is sin (1/x)=1 then. How would I show the sequence of values, any help
  45. Maths

    Question : Integrate [x/(1+(sin a*sin x))] from 0 to pi My first thought was to apply integrate f(x) dx= f(a-x) dx method Which simplified the integral into; 2I = integrate [pi/(1+(sin a*sin x))] dx , cancelling out x Then I made the integral into the form
  46. trig

    how do you work find sin (a-B)beta sign. sin a = 12/13,a lies in quadrant II,and cos B = 15/17, B lies in quadrant I.
  47. math

    Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^-1 1/2) Sin^-1 (sin 7pi/6)
  48. Fluid Mechanics - The Complex Velocity potential f

    Note : Let us combine a source of strength m at the origin with a uniform flow of velocity 𝑢 parallel to the positive x-axis. Then the complex velocity potential(w = -[velocity potential(pi)] - stream function(A)*i) is; 𝑤 = −(𝑢𝑧) −
  49. Pre-Calculus

    Why does sin 30° = 150° (or sin π/6 = sin 5π/6)? Refer to both the unit circle and the graph of the sine curve.
  50. Calculus 12th grade (double check my work please)

    1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.-2 sin 2x B.-2 sin 2x / sinh 3y C.-2/3tan (2x/3y) D.-2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with respect to x. A.-sin (2x) B.-2x
  51. Mathematics

    The gradient of a curve is defined by dy/dx = 3x^(1/2) - 6 Given the point (9, 2) lies on the curve, find the equation of the curve
  52. Calculus

    Find the arc length of the curve from t = 0 to t = 1 whose derivatives in parametric form are dx/dt=2-cos(t) and dy/dt=ln(t^2). Type your answer in the space below and give 2 decimal places My work: 2-cost(t) = sin(t) = sin^2(t) ln(t^2)= 2/t= 4/t^2
  53. Mathematics - Trigonometric Identities

    Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y +
  54. Math

    Use differentials (or equivalently, a linear approximation) to approximate sin(27 degrees) as follows: Let f(x) = sin(x) and find the equation of the tangent line to f(x) at a nice point near 27 degrees. Then use this to approximate sin(27 degrees).
  55. math

    riangular flower garden ABC in which AB = 4m, BC = 5and ∠BCA =30. Point D lies on AC such that BD = 4 m and ∠BDC is obtuse. Find: (a) ∠BDC (b) the length of AD (c) the length of DC (d) the area of the flower garden ABC 0 0 70 asked by King Jan 10,
  56. trig

    Reduce the following to the sine or cosine of one angle: (i) sin145*cos75 - cos145*sin75 (ii) cos35*cos15 - sin35*sin15 Use the formulae: sin(a+b)= sin(a) cos(b) + cos(a)sin(b) and cos(a+b)= cos(a)cos(b) - sin(a)sin)(b) (1)The quantity = sin(145-75) = sin
  57. Calculus

    I need to find the exact solutions on the interval [0,2pi) for: 2sin^2(x/2) - 3sin(x/2) + 1 = 0 I would start: (2sin(x/2)-1)(sin(x/2)-1) = 0 sin(x/2)=1/2 and sin(x/2)=1 what's next? Ok, what angle has a sin equal to say 1/2 sin (x/2)=1 arc sin (1) = x/2
  58. Math

    Evaluate *Note - We have to find the exact value of these. That I know to do. For example sin5π/12 will be broken into sin (π/6) + (π/4) So... sin 5π/12 sin (π/6) + (π/4) sin π/6 cos π/4 + cos π/6 sin π/4 I get all those steps. The part I am
  59. math

    I'm trying to find the convolution f*g where f(t)=g(t)=sin(t). I set up the integral and proceed to do integration by parts twice, but it keeps working out to 0=0 or sin(t)=sin(t). How am I supposed to approach it? integral (sin(u)sin(t-u)) du from 0 to t.
  60. trig

    Find sin è/2 for sin è = 1/4 and è lies in Quadrant I.
  61. trig

    Find sin è/2 for sin è = - 3/5 and è lies in Quadrant IV
  62. Calculus

    Which one or ones of the following integrals produces the area that lies inside the circle r = 3 sin θ and outside the cardioid r = 1 + sin θ? (10 points) I. 1/2 the integral from pi/6 to 5pi/6 of 9*sin^2 theta minus (1 + sin theta)^2 d theta II. the
  63. maths

    Prove: sin^212+sin^221+sin^239+sin^248=1+sin^29+sin^218
  64. math

    What is the derivative of y=x+sin(xy) in terms of x and y at any point on the curve So I got to y'\1+cos(xy)*.... I dont know what to do next
  65. precalc

    sine curve in the form of y = a sin(pi/2x) that passes through the point (2.5,-9.546)
  66. Calculus

    The point P(9, −4) lies on the curve y = 4 / (8 − x). If Q is the point (x, 4/(8 − x)) find the slope of the secant line PQ (correct to six decimal places) for the following values of x. a) 9.1 b) 9.001 for a) I keep getting 3.636363 and for b) I
  67. math

    find the value of sin theta for angle theta in standard position if point with coordinates (negtive 3, 2) lies on its terminal side. i had 2 over sqrt 13 but it was wrong please correct.
  68. calculus

    5. Find the equation of the tangent line to the graph of f(a) = -sec(a) at the point (0, -1) 6. Differentiate y = sin(x)tan(x). 7. Find f '(x) for f(x) = sin(x)cot(x). 8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for
  69. MATH

    1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x - sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the double-angle formulas. 3.)Use the half-angle formulas to
  70. Maths

    Give the equation of the tangent line to the curve at given point x(t)=2 cos(t) y=2 sin(t) at t=pi/6?
  71. calculus

    ind an equation of the tangent line to the curve at the given point. y = sin 6x + sin2 6x, (0, 0)
  72. math

    find all solutions in the interval [0,2 pi) sin(x+(3.14/3) + sin(x- 3.14/3) =1 sin^4 x cos^2 x Since sin (a+b) = sina cosb + cosb sina and sin (a-b) = sina cosb - cosb sina, the first problem can be written 2 sin x cos (pi/3)= sin x The solution to sin x =
  73. mathematics

    Create sketches by hand of the following sine functions, showing at least one full period and state the domain and range. Submit them to your teacher using the drop box above. It may be easiest for you to scan your hand drawn sketches and submit the scan
  74. math

    Create sketches by hand of the following sine functions, showing at least one full period and state the domain and range. Submit them to your teacher using the drop box above. It may be easiest for you to scan your hand drawn sketches and submit the scan
  75. math

    the tangent yo the curve y=x^2 +5x -2 @ the point (1,4)intersect the normal to the same curve @ the point (-3,-8) at the point P.Find the coordinates of point P.[ans: -1/3,-16/3] just give me some hint to calculate this solution.
  76. calculus

    A curve passes through the point (1,-11) and it's gradient at any point is ax^2 + b, where a and b are constants. The tangent to the curve at the point (2,-16) is parallel to the x-axis. Find i) the values of a and b ii) the equation of the curve
  77. AP Calculus AB

    2. For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? 3. Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) -
  78. Trigonometry (Coterminal Angles)

    What is the SMALLEST POSITIVE ANGLE that is coterminal with the angle having the radian measure of -10π/3? Is there any solution for this kind of question?
  79. Calculus

    Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π a) ∫ from π to 0 sin(x)dx b) ∫ from π to 0 -sin(x)dx c) 2∫ from π to 0 sin(x)dx d) 1/2∫ from π
  80. Math Help

    Hi! Can someone help check this for me and see if I'm doing it right? Thanks!! :) Directions: Use the Half-Angle formulas to determine the exact value of sin(pi/12). Here's what I have: π/12 = ( 180° ) / 12 = 15°. = sin ( π/12 ) = sin 15° = sin ( 45°
  81. maths

    if y=e^(3x) sin 4x. Show that (d^2y/dx^2)-(6dy/dx)+25y=0 (b) for the curve with equation y=(x^2+1)/(x^2-4), find (i) the cordinates of the turning point(s). (ii) the equation of the asymptotes
  82. math

    The point P(8, 1) lies on the curve y = x − 7 . (a) If Q is the point (x, x − 7 ), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (i) 7.5 (ii) 7.9 (iii) 7.99 (iv) 7.999 (v) 8.5
  83. Calculus 3

    Let r(t) = < sin(6t), cos(6t), sin(6t)cos(12t) >. Find the point where r(t) intersects the xy-plane on the interval π/6 < t < 3/12π.
  84. calculus

    using the squeeze theorem, find the limit as x->0 of x*e^[8sin(1/x)] what i did was: -1
  85. Trigonometry

    A pilot flies her plane on a bearing of 35 degrees minutes from point X to point Y, which is 400mi from X. Then she turns and flies on a bearing of 145 degrees to point Z, which is 400 mi from her starting point X. What is the bearing of Z from X, and what
  86. pre calc trig check my work please

    sin x + cos x -------------- = ? sin x sin x cos x ----- + ----- = sin x sin x cos x/sin x = cot x this is what i got, the problem is we have a match the expression to the equation work sheet and this is not one of the answers. need to figure out what im
  87. math, calculus

    Interference Two identical tuning forks are struck, one a fraction of a second after the other. The sounds produced are modeled by f1(t) = C sin ωt and f2(t) = C sin(ωt + α). The two sound waves interfere to produce a single sound modeled by the sum of
  88. calculus

    Find the x-coordinates of all points on the curve f(x) = sin 2x − 2 sin x at which the tangent line is horizontal. (Enter your answers as a comma-separated list. Use n to represent any integer.)
  89. math

    Given the parametric curve x= sin(2t) and y=2 sin(t)+ sin(2t) 1) Calculate the slope of the tangent line at any value of t. 2) Find the tangent line at t= (1/2)(Pi).
  90. math

    sin a=3/5, a lies on quadrant 1 and sin b=5/13, b lies on quadrant 2. Find cos(a+b)
  91. COLLEGE CALCULUS. HELP!

    i don't know how to start this problem. i don't like cos and sin. im so confuse. 1.f(x)=sin(sin(x)), find f'(x) 2.f(x)= 4sin^4x, find f'(x). this problem i couldn't find it in my math book. i never see it before. because of sin exponent 4 -->sin^4
  92. Pre-calc/Trig

    If cot(a)=3 and sin(b)= (15/17) where a being alpha lies in quadrant 3 and b being beta lies in quadrant 2, what is the exact value of sin(2a)
  93. Calc 1

    Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = 6 sin x, 0 ≤ x ≤ π
  94. Help me check my calculus questions

    Can someone check my answers: 1) Use geometry to evaluate 6 int 2 (x) dx where f(x) = { |x|, -2
  95. AP Calculus

    Can someone check my answers: 1) Use geometry to evaluate 6 int 2 (x) dx where f(x) = { |x|, -2
  96. Math

    |(sin(x + p), sin(x + q), sin(x + r)), (sin(y + p), sin(y + q), sin(y + r)), (sin(z + p), sin(z + q), sin(z + r))| Please help me with full solution have done all i could No hint please just help me please please
  97. Maths

    the graph of curve y=f(x) has point P(2,1) lies on the curve. On the graph y=2f(x+3) label the image of the point P, giving its coordinates. The answer is (-1,2)
  98. math;)

    Show that sin(x+pi)=-sinx. So far, I used the sum formula for sin which is sin(a+b)=sin a cos b+cos a sin b. sin(x+pi)=sin x cos pi+cos x sin pi I think I am supposed to do this next, but I am not sure. sin(x+pi)=sin x cos x+sin pi cos pi If that is right
  99. d/dx

    d/dx( ln |sin(pi/x)| ) = ? Thanks. If those are absolute value signs, the derivative will not exist when sin (pi/x) = 0, because of the sign change that occurs there. Assume sin (pi/x) > 0 Let u(x) = pi/x and v(x) = sin x, and use the chain rule. d/dx ln
  100. 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)/(a-0) I'm not sure how to solve for a. Yes, the point is

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  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20