Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter.
Determine the slope of the tangent line, then find the equation of the tangent line at...
Find the slope of a line tangent to the curve of the given equation at the given point. Sketch the curve and the tangent line. y=x? -5; (4,11) The slope is (Simplify your answer.) Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All
Find an equation for the line tangent to the curve at the point defined by the given value of t. x = sin t, y = 2 sin t, t = wa y = 2x - 213 y = 2x y = 2x + 13 Oy=-2x+ 2/3 Find an equation for the line tangent to the curve at the point defined by the given value of t. x=t, y= V2t, t = 18 y=- X-3 y=+x+3 O y = 1...
Find the slope of the tangent line to the Lissajous curve cos(t), y = sin(4t) at t = 1/6. Eliminate the parameter to find the Cartesian equation of the curve x = 41-t, y = (1+t, -1st s 1. Identify what type of curve this is. You do not have to sketch the curve.
a) Find the exact value of the slope of the line which is tangent to the curve given by the equation r = 2 + cos θ at . You must show your work. b) Set up, but do not evaluate, the integral that represents the length of the curve given by x = t - t2, , over the interval 1 ≤ t ≤ 2. D 4,3/2 y=7 D 4,3/2 y=7
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
11.2.11 Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. x=t-sin ty=1 - 3 cos tt Write the equation of the tangent line. y= x+ (Type exact answers, using a as needed.)
Differentiate the function using the definition and find the slope of the tangent line at the given value of the independent variable 1) g(x) Find an equation of the tangent line and the normal line at the indicated point on the graph of the function. Use the definition of the derivative find the slope. 2) w = g(2) = 1/4 -2, (7,W) =(3,1) Find the first and second second derivative. 3) w=2-4-
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
x = COST TT 7) Find the slope of the line tangent to at t = y = 8 sint 2 1 -" 3 8) Find the length of 0<t<1 1 - 21
Find an equation for the line tangent to the given curve at the point defined by the given value of t. Also, find d2y/dx2 at this point: x = cost, y = 1 + sint, t = 1/2