The point (a,b) and (c,d) are points on the graph of y= x3+5 whose tangent lines are perpendicular to x + 3y = 2. The sum of a+b+c+d is equal to _______

Q: Which of the points (if any) lie on the curves y + xy – 2 = –3x²? (0, 0) (0, v2) (0. *) 3 V6 3 ? 미(,…

A:

Q: 5. Given the parabola y = - x? + 10x - 16 and two tangents that pass through (4, 12), find the slope…

A: A general equation is taken and then it is molded as per the conditions.

Q: 2(x² + y? )² = 25(x² – y²) at the point (3, 1). When the equation of this tangent line is written in…

A: Given that 2(x^2+y^2)^2=25(x^2-y^2) To find the equation of the tangent line

Q: b. Determine an equation of the line tangent to the curve at the given point. 2•y=38xy: (19,19) a.…

A: use the formula for the tangent line to the curve.

Q: An equation of the line tangent to the graph of f(x) = x(1-2x)3 at the point (1,-1) is A. y = -7x+ 6…

A:

Q: 3) Let (T) be the tangent to the curve (C) at a point of abscissa 1. a- Determine an equation of the…

A: 3 a) At x=1,  f(1)=13-3·11+4·1=1-3+4=2 So we have to find the tangent of (C) at (1,2).

Q: a) [ i) Find the exact length of the curve y = x³ + 12x 1≤x≤2

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

A:

Q: The equation of the tangent line for the function f( O y = -7 O y = -7(x – 4)+35 %3D O y = -7(x+ 4)…

A:

Q: EXERCISES 4:Find the tangent line at the given point xy = -4, (2,-2) 1. x² - xy + y? = 7, (-1,2) 2.

A:

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A:

Q: The curve y = ax2 + bx + c passes through the point (1, 2) and is tangent to the line y = x at the…

A:

Q: Which of the points (if any) lie on the curves y + xy – 2 = –3x²? O (0, 0) (0, v2) (0, ) ㅇ(용, )…

A:

Q: 5) Find all points (x, y) on the graph of y = - with tangent lines perpendicular to the (x - 4) line…

A:

Q: In the video game shown in the figure, an airplane flies from left to right along the path given by…

A: The equation of a line that passes through the point x1, y1 and has a slope m is calculated using…

Q: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

A:

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A:

Q: 24. Consider the curve defined by the equation below and a point (2, 1) on the curve. What is the of…

A: Given query is to find the slope of the tangent line at point (2,1).

Q: Consider the curve x23 +y/3 =4. Let L be the tangent line to this curve at the point (1, 3/3), and…

A:

Q: 13. Find the equations of both lines that pass through the point (2, – 3) and are tangent to the…

A: We need to find equations of tangent lines.

Q: (a) If G(x) = 5x2 - x³, find G'(a) and use it to find equations of the tangent lines to the curve y…

A:

Q: An equation of the line tangent to the graph of f(x) = -x(1 – 2x)³ at the point (1,1) is a. y = -7x…

A: f(x) = -x (1-2x)3  f'(x) = -3x(1-2x)2 (-2) + (1-2x)3 (-1) f'(1) = 6(-1)2 +1 f'(1) = 7   Slope m = 7…

Q: a) Find the equation of the tangent plane to the graph of the curve f(x,y) = x² + y² at the point…

A: Mentioned below is the answer

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A:

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Topic = Differential equation Correct option = d

Q: Find all the points where the lemniscate (x2+y2)2=4(x2-y2) has horizontal tangents

A:

Q: (a) If g(x) = x2/3, show that g'(0) does not exist.(b) If a ≠ 0, find g'(a).(c) Show that y = x2/3…

A:

Q: a) Determine the point at which the slope of the tangent to each parabola is zero. i) y= 6x2-3x + 4…

A:

Q: 45. Find the coordinates of all points on the graph of -1-2at which the tangent line passes through…

A:

Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

A:

Q: (a) If G(x) = x2 - 5x + 5, find G'(a) and use it to find equations of the tangent lines to the curve…

A:

Q: Draw a diagram to show that there are two tangent lines to the parabola of  y = x2  that pass…

A: Given the parabola : y=x2Tangent passes through the point 0,-9 We need to find the coordinates of…

Q: The curve y = ax + bx +c passes through the point (1,9) and is tangent to the line y = 4x at the…

A: Please see the answer below.

Q: Can you help me step by step?

A: Given equation of curve is y=ax2+bx+c which passes through (1, 3) so point (1, 3) will satisfy the…

Q: Consider the curve x2/3 + y2/3 =4. Let L be the tangent line to this curve at the point (1 , 3/3),…

A:

Q: (a) If g(x) =x2/3 , show that  g'(0) does not exist.(b) If a≠ 0 , find g'(a) .(c) Show that y= x2/3…

A: Given function is gx=x23. Differentiating the function with respect to x,…

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

A:

Q: 2(x² + y? )° = 25(x² – y}) at the point (3, 1). When the equation of this tangent line is written in…

A:

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A:

Q: The curve y= ax² + bx +c passes through the point (1,2) and is tangent to the line y = x at the…

A:

Q: The tangent line to the graph of y = In(x² – 1) is perpendicular to the line a + y = -1 at the point…

A:

Q: The graph of x + z² = 1 is an ordinary right circular cylinder. Indicate axis of the cylinder lies…

A:

Q: b) Let f(x) = 4x - 2x - 5. %3D Find the intersection of the tangent line at c = 2 with the x axis.…

A: Given: The function fx=4x3-2x-5, To find: The intersection point of the tangent line at c=2 with…

Q: d an equation of the tangent plane to the given surfa (-1, 1, –9). %3=

A:

Q: The tangent line to the graph of y = In(x² – 1) is perpendicular to the line z + y = -1lat the point…

A: Given: y=lnx2-1 and x+y=-1 Concept Used: Slope of perpendicular lines are negative reciprocal to…

Q: 1.) Tangent to the parabola z= x2+3y2 , x = 1 at point ( 1, 2, 13)

A:

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A:

Q: 3/7 Solve for x. Assume that lines which appear to be tangent are tangent. SHOW YOUR WORK! -1+ 2x…

A:

Q: 25. Consider the curve defined by the equation below and a point (2, 1) on the curve. What is the…

A: topic - equation of a tangent line