1. a) Find the equation of the normal line to the curve
b) Find h’(3), if h(x) =
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1. a) Find the equation of the normal line to the curve b) Find h’(3), if...
1. Find the equation of the tangent line to: a) y = x2 – 3 at the point (2,1) b) y = cos x at the point (1,1) c) y=e" at the point where r = 1 d) r3 + y3 = 19 at the point (3,-2) 2. Find the equation of the normal line to: a) y = r at the point (2,8) b) y=x+ at the point where x = 2 c) y = 2:03 - 5x +...
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
As shown in Fig 1, the line with equation y= 2 - x cuts the curve with equation y = -x2+x+6 at points A and B. y = 2-x y = -x + x + 6 4 (0,0 B Fig 1 (i) Find the coordinates of point A (ii) Calculate the shaded area bounded by the curve, the line and the x-axis as shown in Fig 1
Find an equation of the normal line of the curve 2? + xy + y2 = 7at the point (1,2). Then find the y-intercept of the normal line and write the answer as a decimal. The y-intercept is
Find the equation of tangent line to the curve y = x2 – \sqrt[3]{x} at the point (-1,0).
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 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
a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. 48(x2 + y2)2 = 625xy2: (3.4) a. Verify that the point is on the given curve. When x = 3 and y = 4, both 48 (x2 + y2) 2 and 625xy2 equal b. Write the equation for the tangent line. y=
Find the equation of the tangent line at the point (-3,2) to the curve defined implicitly below. y2 + 3y – 34 = -2x2 + 2x Select the correct answer below: O y = 2z+8 O y = 2x + 4 Oy-1-1 O y=+13 O y=-1-5 O y=x+5
Find the equation of the tangent line to h(x) = 2 x2 + 3x + 3 at the point (-2,5). y