Question 23 What is the value of the slope of the tangent line to the curve x2- 2xy – 2y² =1 passing through the point with coordinates (-3, – 1)? Write the answer in its exact form as an integer or a fraction in lowest terms. Blank 1 Blank 1 Add your answer

Q: Answer the following questions. Show your complete solution. 1 Find the general form of the equation…

A: As per the company guidelines we are supposed to answer only first question.Kindly repost the other…

Q: Question A4 Let the curve C: f (x) = x³ + 6x² – 15x + 8. Find the value(s) of m for which the line y…

A: Given problem:- Let the curve C: f(x)=x3 +6x2 -15x+8. Find the value(s) of m for which the line y =…

Q: Problem 4. Find an equation of the tangent line to the curve at the following point: y = (1 – 82)1",…

A: The equation of tangent is  y-y1= m(x-x1)  Where is m is slope

Q: (a) Find an equation of the tangent line to the curve y =tan(π x2/ 4)at the point (1, 1) .(b)…

A: We find the derivative of the function using the chain rule then we plug x=1 to find the slope

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

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

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Q: QUESTION 1 Find the equation of the tangent and normal line with the equation y=Vx² +3 at the point…

A: topic - equation of tangent and normal to curve

Q: Question 1 The slope of the tangent line to the curve C at the point (1, 2) is (A 4 -2 C) 2 D -4 B

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Q: y° – y = x + 3x

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Q: Ch.3) 2. Find an equation of the tangent line to the given curve at the specified point: 13. (3) x*…

A: The given function is y=x2+2x2+x+3 at 1,35

Q: Question 7. Find the equation of the tangent line to the curve y = e²- I +1 at r = 0.

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Q: the equation of the tangent line to the curve y = 4 sin x at the point equation of this tangent line…

A: We are asked to find the tangent line of the curve.

Q: Question 5. Find the equations of the tangent line and the normal line (normal is perpen- dicular to…

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Q: Question 7 Find an equation for the tangent plane to the curve given by r(u, v) = u²i – v²j+ (u² –…

A: Equation of tangent plane of a surface at point a,b,c is given by n^x-ai^+y-bj^+z-ck^=0 where n^is…

Q: Question 9 Find the equation of the tangent to y = xvx at the point where x = 4 -8 -6 2-

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Q: Find the equation of the line tangent to the given curve at x= a. Use a graphing utility to graph…

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Q: Question 19 Find the equation of the tangent line to the curve at the point (0, 0). Oz+y=1 O-x+y=0…

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Q: Find an equation of the tangent line to the curve y' = z'(3– z) (a piriform) at the point (2, -2/2).…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

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Q: Question 3 Vi at =16, Find the slopes of the tangent lines to the curve y at,16 The slope at X-16 is…

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Q: Let f(x)=2xex Find the equation of the tangent line to the graph at (1, 2e

A: Concept - used the formula for tangent line y-y1=m(x-x1)  Here m=dy/dx=slope

Q: Question 10 What is the equation of the tangent line to the curve y = arctan(2x) at the point which…

A: Differentiate w.r.t x

Q: Fihd the equation of the tangent line to the curve y 6 tan z at the point The equation of this…

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Q: (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line…

A: The curve is y=11+x2 Given point is 1, 12

Q: The slope of the tangent line equation to the graph of the function y = 4/a - 6 a %3D O 0.17 O -0.50…

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Q: Question 3 D Consider the curve defined by r? = e-y for r > 0. At what value of x does the curve…

A: We have the curve defined as x2=ex-y, x>0

Q: Question 4 The slope of the tangent line at any point (x, y) on a curve is 2. If the point (9, 3) is…

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Q: Let y = 1+ eX (a) Find an equation of the tangent line to the curve y at the point (0, 3). (b)…

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Q: 2.4 Can you show me the steps to solve the problem? Directions: Find an equation of the tangent line…

A: Given that, y = cosx-sinx at (π,-1).Consider (π,-1) as (x1,y1)Slope of the tangent line is,

Q: 1 Find an equation for the line tangent to the graph of y =- tan at the point (3,t/ 12). What is the…

A: Proceed as shown below...

Q: Question 2 What is the slope of the tangent line to the graph of x² + 2xy = y² + x = 39 at x = 5…

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Q: Question 14 A line is tangent to y = x³ - 2 at (2,6). What is the coefficient of x when the line is…

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Q: Question 4. the curve Find the equation of the tangent line to y = xV7 at r = 1.

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Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give…

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Q: (a) Find y'. (b) Verify that the point (0, 1) is on the graph of the equation. (c) Find the slope of…

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Q: a) Find the slope and the equation of the tangent line to the curve y = x2 + 1 at x=0. Sketch the…

A: Given the equation of the curve y= x2+1            .......(1) We have to find the slope and equation…

Q: Which of the following is the equation of the curve that passes through (1,3) and having the slope…

A: We want to find true option.

Q: QUESTION 2 Find an equation of the tangent to the curve at the point corresponding to the given…

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Q: Find the equation of the tangent line to the curve y = 6 sin e at the point (, 3). The equation of…

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Q: If 1 – xy – y + x² = 0 then find the equations of all tangent lines to the curve when y = -5.…

A: Given the curve  1-xy-y+x2=0.  The objective is to find equations of all tangent lines when y=-5…

Q: Question(10). Find the equation of the tangents to the curve y = cos x at x = T/2 and at a =…

A: Given curve is y=cosx.

Q: Find an equation for the line tangent to the graph of y = tan at the point (4,1/12). What is the…

A: The given graph and the point is

Q: Secondary Topic 10. Find an equation (implicit or parametric) for the line tangent to the curve…

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Q: Find an equation of the tangent line to the curve at the following point: y = (1 – 82)1º, (0, 1) y =…

A: I have used the formula for the equation of the tangent

Q: Find the slope of the curve below at the given points. Sketch the curve along with its tangents at…

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Q: Next question 1 Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at…

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Q: The slope of the tangent line to the curve y = – at the point ( 3, is: 3 Preview The equation of…

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

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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: Question 6 The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3)…

A: Note that, the slope of the curve y=f(x) is given by: dydx Now, given that the slope is 2x. So,…