2.1.13 (a) Find the slope of the curve y=x°-11x at the given point P(1. - 10)...
(a) Find the slope of the curve y = x - 8x at the given point P(2. - 8) by finding the limiting value of the slope of the secants through P. (b) Find an equation of the tangent line to the curve at P(2.-8). (a) The slope of the curve at P(2. - 8) is
At the given point, find the slope of the curve or the line that is tangent to the curve, as requested. y® + x3 = y2 + 11x, tangent at (0,1) 11 O A. y=- 8 11 OB. y=- EX-1 11 O C. y= 6*+1 11 OD. y= *+1
y 1/(1-x) 5. The point P(2,-1) lies on the curve C If Q is the point (x,1/(1-x), use your calculator to find the slope of the secant line PQ a. (correct to six decimal places) for the following values of x: 1.5 (ii) 1.9 (i) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (vii) 2.001 Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(2,-1) i. b. Using...
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
can you answer two of the questions in the phot please. 1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find the slope of the secant line PO for the following values of x. 3. 3.99 4. 3.999 6. 4.1 7. 4.01 8. 4.001 the curve at P b. Use your results from part a to make a guess of the slope of the line tangent to c. Use your...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
The slope at each point (x, y) on a curve y = f(x) is given by 1 f'x)= V4x(4v-1) If the curve goes through the point (16,0), find f(x) f(x) Tries 0/10 Submit Answer The slope at each point (x, y) on a curve y = f(x) is given by 1 f'x)= V4x(4v-1) If the curve goes through the point (16,0), find f(x) f(x) Tries 0/10 Submit Answer
At the given point, find the slope of the curve or the line that is tangent to the curve, as requested. y + x3 = y2 + 9x, slope at (0,1) 1 OB. NI
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 6sin(θ) θ = π/3 Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 4 - sin(θ) θ = π/4 Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 9/θ...
The slope of the tangent line to a curve is given by f'(x) = 4x + 3x - 2. If the point (0,8) is on the curve, find an equation of the curve.