Find the equation of the line tangent to the given curve at x =a. Use a graphing utility to graph the curve and the tangent line on the same set of axes. 6x X+5.a= -3

Q: find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent…

A:

Q: Answer the following problems. Find the equation of the tangent line to the 31. Find the equation of…

A:

Q: The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this…

A:

Q: Find the coordinates of the point in the first quadrant at which the tangent line to the curve 7x –…

A:

Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) x2 + 2xy…

A: Given, x²+2xy+5= 0 Differentiating w.r.t x we have, dx²/dx + d(2xy)/dx +d(5)/dx= 0 2x+ 2y.dx/dx +…

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

A:

Q: Find the equation(s) of the tangent line(s) to the graph of the curve y = x - 11x through the point…

A: We have to find the equation of tangent line

Q: For the implicitly defined equation, consider the following. 6 7. (-1) -3 -2 -1 1. 2 3 (a) Find the…

A:

Q: Consider the following curve. x + 2 y X - 4 Find the slope m of the tangent line at the point (3,…

A:

Q: Find an equation for the tangent to the curve at the given point. 19) f(x) = 10/x - x + 7, (100, 7)…

A:

Q: Solve the following problems: 1. Determine the values of x where a curve y = x³ - 3x - 9x + 12 has…

A:

Q: The slope of the tangent line to the graph of y=x^3-cx+2 at x=5 is 73. Give the value of ?. Select…

A:

Q: For what value of x is the tangent line to the curve y= x² – 6x +5 horizontal? (A -3 3 D none of the…

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A:

Q: Consider the following curve. y = 3x2 14x + 1 Find the slope m of the tangent line at the point (5,…

A: Slope of the tangent is obtained by dy/dx

Q: Find the equation of the line tangent to the following graph where x = 4

A: We have to find the equation of the tangent.

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: Complete the following steps.a. Find equations of all lines tangent to the curve at the given value…

A: We have been given the graph             x+y2-y=1      (1) & x = 1

Q: Find the slope of the line tangent tangent to the graph a the given poin 4 y = ,x = 6 5+x 4 m = 121…

A:

Q: (a) If x² + y? = 2x²y² , find y' in terms of both x and y. (b) Below is a graph of x2 + y? = 2x? y.…

A: Given equation is  x2+y2=2x2y2                      ..(1)

Q: Solve the following problems a. Which of the following are the coordinates of a point where the…

A:

Q: Consider the following curve. x + 3 y x - 5 Find the slope m of the tangent line at the point (4,…

A: Using U/V formula for calculating dy/dx.

Q: (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at…

A: First we have to find slope of line for different values of x-

Q: Given the curve y= x^3 - 4x +1 . Find the equation of the tangent at the points where the slope of…

A:

Q: (y – 3)2 = 4(x - 5), (6, 5) %3D y = Parabola 6 (6, 5) 6 10 12 14 -2

A:

Q: (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at…

A: So We have given that slope of tangent line  is 4 , and its passes through P(4,-4) we know equation…

Q: Complete the following sentence: The equation of the tangent line to the curve y=2/x+1 at x= is…

A:

Q: Find the tangents to the graph shown below at the origin and the point (1,-3). The tangent to the…

A:

Q: is to find the equation of the tangent line to the 66). The equation of this tangent line can be w m…

A:

Q: (1- x) (1+x) Find an equation of the tangent line to the curve y = at (-2, -3).

A:

Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the…

A: topic - equation of a tangent line

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: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A:

Q: Answer the following problems. Find the equation of the tangent line to the 31. Find the equation of…

A:

Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to prove that negative slope is not possible for graph.

Q: Find the tangents to the graph shown below at the origin and the point (1, - 3). The tangent to the…

A:

Q: Find an equation of the tangent line to the curve at the given point. x + 1 (6, -7) x - 7 y =y= -8x…

A: y= x+1 / x-7 (6,-7 )  x- y - =13

Q: Consider the following curve. x + 2 y = x - 4 Find the slope m of the tangent line at the point (3,…

A: Find the slope of tangent by calculating first derivate of the given curve then write the equation…

Q: ne an cquation for the line to the tangent graph at the given value. f(x)=5x , x= 2 %3D %3D

A:

Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: y=4-x2,  -1, 3 Now differentiating with respect to x, we get dydx=0-2x=-2x Now slope of the tangent…

Q: For the equation y = 1/2x^4 + x; a = 2: a) Find an equation of the tangent line at x = a. b) Use a…

A: The given function is y=12x4+x;a=2. Formula used: Equation of the tangent line is y-y1=mx-x1.

Q: Given the equation below, find da - 21a° + 3x2y+ y* = - 17 dy da Now, find the equation of the…

A:

Q: Find ​(a) the slope of the curve at the given point​ P, and ​(b) an equation of the tangent line at…

A:

Q: Please show all work, step by step thank you Find the slope of the curve at the given point P and…

A:

Q: A. Illustrate the line tangent to the following curves at the given points. Write your answers on a…

A: A diagram is given

Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e¯*) at the point (0, 7). 7x +7…

A: y = 14(1+e-x)dydx =14ddx11+e-xdydx = 14ddx(1+e-x)-1 dydx = 14(-1)(1+e-x)-2(0+e-x(-1)dydx =…

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

A:

Q: is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point…

A: Given curve is, y=11+x2 Differentiating with respect to x we get,…

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A:

Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: