The point P(3, 1) lies on the curve y = Vx – 2. (a) If Q is the point (x, Vx – 2), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of > (i) 2.5 0.707106 (ii) 0.527046 2.9 (iii) 2.99 0.502518 (iv) 2.999 0.500250 |x (v) 3.5 0.408248 (vi) 3.1 0.476731 (vii) 3.01 0.4975185 (viii) 3.001 0.4997501 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(3, 1). 0.500000

Q: Find an equation for the line in the xy-plane that is tangent and normal to the curve x³y² + y² = x…

A:

Q: 8. Find the equation of the tangent and normal to the curve y = x3 3x + 1 at x = -1. [4] -

A: We have to find the eqution of tangent and normal of given curve y

Q: Find equations of the tangent line and normal line to the given curve at the specified point in…

A:

Q: Find the tangent and normal line to the curve at the specified condition.  y = x ( 4x - 1 )2 at…

A: The tangent line is a straight line to the curve that touches the curve at a single point. The…

Q: Find the equation of the tangent line to the curve x + y² = 4 where the slope of the curve is 1.…

A:

Q: Find the slope of the tangent to the curve a + 2xy+ y = 49 at (1, 6). The slope is (Enter undef if…

A:

Q: 2. Find the equation of the tangent and normal line of the function y+ 3xy +x = 5 at the point (1,…

A:

Q: 5. Find the equation of the tangent and normal lines to the curve x = t2 – 2t, y= t3 - 3 when t =…

A: Firstly we find Slope of tangent and slope of normal to the given curves and then we will find…

Q: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…

A:

Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

A:

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

Q: At what point on the curve y = V-8 + 2x is the tangent line perpendicular to the line 8x + 4y = 1?

A:

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

A:

Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x-3.

A: The graph of y=xx-4 with tangent line perpendicular to the line y=4x-3

Q: Find the equation of the tangent line to the curve y = (5 In(x))/x at the points (1, 0) and (e,…

A: Formula of equation of tangent is y-y1 = m(x-x1)

Q: Find the equation of the tangent line and normal line to the graph of y = x-1 at the x+1 point where…

A:

Q: For the curve: f(x)=√x-5 the equation of the tangent line when x=9 is Oy--(x+1) Oy--1(x-1) y= Oy- (x…

A: This question can be solved using the concept of tangent and normal.

Q: Find all points on the curve x'y + xy 2 where the slope of the tangent line is -1.

A: consider the given equation of the curve, x2y2+xy=2 to find the slope of the tangent differentiate…

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

A:

Q: 2х at (1,1) (x+1) Find the equation of the line tangent to y = a) x-2y =-1 b) 2x-у - 1 c) х-у -2 d)…

A: First I have written the formula of tangent line to a curve at given point, just use them for given…

Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).

A:

Q: Find all points on the curve  x 2  y 2 + xy = 2  where the slope of the tangent line is - 1

A: We first find dy/dx using implicit differentiation

Q: (B): Find an equation for the tangent and normal Line to the curve (y 2x +4x-3) at (x1)

A:

Q: Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point…

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

Q: x= 7t² +5 12. Find points on the curve of - where tangent line is either vertical or horizontal. y=…

A: Vertical and horizontal tangent

Q: 1. Find the slope of the curve x+ y² -6x-4y-21 0 at (0, 7). Compute also the tangent line and normal…

A: ## According to bartleby guidelines we supposed to do first question of multiple questions so kindly…

Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…

A: Equation of tangent line is given by- y - y1  = m (x - x1)

Q: The tangent plane to the graph of the function :==3y+1=(1+y} at the point (1; 1; 3/2) contains point…

A: The given equation of the surface is z=x2y+1. Rearranging the above equation gives, w=z-x2y-1 Find…

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of…

Q: Find the slope of the tangent to the curve r+ 2xy + y = 16 at (1, 3). The slope is VEnter undof if…

A:

Q: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t) ; y = t3 - 3t2 +…

A:

Q: I need help figuring out how to do the work. Thank you

A:

Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

A:

Q: Suppose the slope of the tangent line at any point on a curve is x+4yz. If the curve passes thru…

A:

Q: Q1)a) Find line that are tangent the curve x + xy = 1 at the point (-1,0)

A: The given equation of the curve is x2+xy=1 and the point is (-1, 0). Evaluate the slope of the…

Q: 2. Find the slope-intercept form of the tangent line to f(z) = Vī at 1 = 4.

A: Given,f(x)=x at x=4 We find the y-coordinate of x0=4.⇒y0=f(4)⇒y0=4⇒y0=2 Hence, P has…

Q: The point P(9, -2) lies on the curve y = 8 - x (a) If Q is the point x, find the slope of the secant…

A: Given :- The point(9,-2) lies on the curve y=2/(8-x)  To find:- a if Q is tha point (x, 2/(8-x)),…

Q: Find all the points on the curve x^2y^2+xy=2 where the slope of the tangent line is equal to -1

A:

Q: Suppose the slope of the tangent line at any point on a curve is 242. If the curve passes thru…

A:

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

A:

Q: 2. Find the equation of the tangent and normal lines at a given point on the curve. x²y² – 10y + 8x…

A: the equation of the given curve is: x2y2-10y+8x=0 the given point is (2,4) we have to find the…

Q: 3. Find the slope of the tangent line to r²e♥ + y²e² = 2e at (1,1).

A: Please see the answer below

Q: Q4:a) find the equation of the tangent and normal line to the curve y = 10 - at point (6,4). ? 7-x…

A: (a) Given curve y2=10-67-x  The equation of tangent to the curve at point x1, y1, y-y1=dydxx1,y1x-x1…

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: 2 at the Find the equation of the tangent line to the graph y 3 (round the slope to one decimal…

A:

Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

A:

Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

A: This question can be solved using the concept of tangent and normal using application of…

Q: 5x+1 Q2:- Find the tangent and normal lines of the curve y: at X=1 2vx %3D

A: