I just need help with question F
From problem (a)
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I just need help with question F An object is moving around the unit circle with...
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t),sin(t)) . Assume 0 < t < π/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.) (a) The area of the right triangle is a(t)= . (b) lim t → pi/2−a(t)= ...
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t),sin(t)) . Assume 0 < t < ?/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.)
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) = e 3t sin(x + 2t). (a) At any point (x, t), the differential is df = e^(-3t)cos(x+2t)dx+(e^(-3t))(2cos(x+2t)-2sin(x+2t))dt (b) At the point (-1,0), the differential is df = cos(-1)dx+(2cos(-1))+3sin(-1)dt (c) At the point (-1,0) with dx = -0.5 and dt = 0.3, the differential is df = 0.97344 Note. You can earn partial credit on this nrohlem (1 point) Consider the surface xyz = 20....
Need help with A-G 2.3.4 Activity 2.3.4. Answer the following questions exactly wherever possible. If you estimate a value, do so to at least 5 decimal places of accuracy. a. The x coordinate of the point on the unit circle that lies in the third quadrant and whose y-coordinate is y = - b. The y-coordinate of the point on the unit circle generated by a central angle in standard position that measures t = 2 radians. c. The x-coordinate...
Give parametric equations that describe a full circle of radius R, centered at the origin with clockwise orientation, where the parameter t varies over the interval [0,22]. Assume that the circle starts at the point (R,0) along the x-axis. Consider the following parametric equations, x=−t+7, y=−3t−3; minus−5less than or equals≤tless than or equals≤5. Complete parts (a) through (d) below. Consider the following parametric equation. a.Eliminate the parameter to obtain an equation in x and y. b.Describe the curve and indicate...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
Identify the argument of the function. 1 2./ 3 .031 Use the unit circle to find all values of between 0 and 2 for the following Enter your answers as a comma-separated list.) tan . 3.-/2 points Trigo 3.3.043 Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten thousandth 2100 sin 210°C COS 2100...
I do NOT need part a. I really need help on b,c,d,and e though! Thank you 2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) ez dr where C is the arc of the curve z = y3 from (-1,-1) to (1,1); (b) 2,2 d_T + y2 dy where C consists of the arc of the circle x2 + y2-4 from (2,0) to (0,2) followed by the line segment from...
I need to use the distance formula below to find the exact corordinates of the terminal point of pi/8 from pi/4 and then solve for (b) and then (c ). It has to use the distance formula not half angle formula of cosine and sine. Please include your step by step solution. Thank you. The point at x/8 is halfway between 0 and x/4. So, if its coordinates are (x,y), then we have d[(x,y),(1,0)) = d[(x,y). (7312, V3/2)) which is...
Hi, can you solve the question for me step by step, I will rate up if the working is correct. I will post the answer together with the question. Answer: Question 4 A particle of mass m is moving in a horizontal plane in a circle of radius R, with angular velocity 6, anti-clockwise given by é t+cos(2t) Implement plane polar unit vectors er and ee, in the horizontal plane, and k in the vertical direction, giving a right-handed coordinate...