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Find the slope and equation of line tangent to the curve y = (2x-16)/√x at x = 4.
Find the slope and equation of line tangent to the curve y = (2x-16)/√x at x = 4.
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
16. [10pts.) Find an equation of the tangent line to the curve y = 4x2 at the given point (1,1). Find the slope using the definition of the derivative: f'(x)= lim f(x+h)-f(x) h
Find the equation of the tangent line to the curve y = 2x cos z at the point (TT, - 2). The equation of this tangent line can be written in the form y = mx + b where m = and b=
5. (6) Find the equation of the line tangent to the curve y = f(x)=x* –2x+1 at the point (2, 13) and use it to estimate f (2.01).
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 an equation of the tangent line to the curve at the given point. y = x4 + 5x2 - x, (1,5) y = Show My Work (Requiredi 2
4. Find the equation of the tangent line to the implicit curve x? - y + 2xy = 10 at the point (4, -2.33). SHOW ALL STEPS and round your answers to 3 decimal places. 5 - 4- 3 2 1 10 -10 -5 O (4, -2.33)
d²y 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 dx x= 16 cost. y = 4 sint, t = 7 л 2 The equation represents the line tangent to the curve att (Type an exact answer, using radicals as needed.) dy The value of att is dx? (Type an exact answer, using radicals as needed.) 70 4
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 for the tangent line to the curve at the given points. y = x2 – 5x + 4 at the intercepts (1,0),(4,0), and (0,4). y = at (1,0) y= at (4,0) y = at (0,4) Sketch the curve and the tangent line. VA VA X 4 Submit Answer