using two appropriate coordinates, construct equations of tangent and normal for each coordinate when the gradient of tangent is 3

Q: Find the equation of the tangent to y = 1/x −2 at the point (5,1/3)

A: If you like the solution then please give it a thumbs up... The Answer is:     Equation:.    75y =…

Q: Find an equation of the tangent line to the curve at the given point. y = 6ex + x,  (0, 6) y =

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Q: Find the equation of the tangent line to the curve y=5√x at the point (4, 10). The equation of the…

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Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 3 + 3x. y…

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Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: didfferential equation of tangents to x¯ = 4y

A: Solution is given as below:

Q: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the infor-mation from…

A: The earth rotates through one complete revolution every 24 hours and the radius of earth is 4000…

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: What is the value of the slope of the tangent line to the curve x2- 2xy – 2y²=1 passing through the…

A: In this question , we can find the value of the slope of the given curve . Differentiate the given…

Q: I need more help with finding the slope of the line tangent using the instantaneous rate of change…

A: Slope of the tangent = limit h->0 (f(x+h)-f(x))/h

Q: Calculate the average gradient of the slope between spot height 281 and spot height 269 on the map…

A: The equation for gradient is given as Gradient = Change in field value / distance

Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: Use implicit differentiation to find an equation of the tangent line to the devil's curve,defined by…

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Q: '5 4. y? * - 1 1? + 1 5. x3 + y = 5, (8, 1)

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Q: 3(x^2+y^2)^2=100(x^2-y^2); (4,2) write the equation for the tangent line

A: Find the equation for the tangent line3(x^2+y^2)^2=100(x^2-y^2)   at  (4,2)

Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

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Q: Differentiate the function and find the slope of the tangent line at the given value of the…

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Q: Find the equation of the line nomal to the curve y = 3x"-5x at the point (1,-2). Sketch the curve…

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Q: Find the slope of the tangent line to the curve at the point (1, 0).

A: Given, f(x)= x-x³ (1,0)

Q: Find the equation of the tangent line at the given point on the following curve. x2+y? = 20, (-2,4)…

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Q: Vrite the tangent line equation. (1) x'+y=4 P(JE. VE) 12)

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Q: Line IB and line IA are both tangent lines. IB = 2x - 5 and IA = x + 15. Find the value of x. x+15…

A: from a given point length of tangent is equal.so IA=IB.so x+15=2x-5,x=20

Q: (a) Using derivative as a slope find line that are tangent and normal to the following curve at the…

A: We know that equation of line with slope m and passing through the point (x0,y0) is     (y-y0)=…

Q: 1 Find the equation of the tangent line to f- at the point P(,,-1) for f(x) = %3D 3x2 - 1 Provide…

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Q: f(x) = x + √x calculate the tangent point at the point (16,20) y= _________ (x-16) + 20

A: Given:f(x)=x+x,    (16,20)

Q: 1- Vx 6 Find the equation of the tangent and normal to the curve f(x) at the point 4, 5 1+ X

A: Given:     f(x) = 1 - √x / 1 + x  Points: ( 4 , -1/5 )

Q: Equation is x^2+y^2 = 13, point (2,-3). Find the equation of the tangent OR normal at that point.

A: Given query is to find the equation of the tangent.

Q: Find equations of the tangent line and normal line

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Q: A straight line perpendicular to and passing through the point of tangency of the tangent line is…

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Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y…

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Q: Which is the correct order in finding the radius of curvature of a circle? i. find the radius ii.…

A: We are asked to find the order of finding radius of curvature

Q: Q: Using derivative as a slope, find the line that are tangent and normal to the following curve at…

A: the line that are tangent and normal to the following curve at the given point x2 + y2 = 25, (3, c)…

Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D…

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Q: Use the graph to estimate the slope of the tangent line to y = xn at the given point. Verify your…

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Q: Estimate the slope of the tangent line to the curve at the given point (x.y). The slope of the…

A: NOTE: Refresh your page if you can't see any equations. . choose any two points from the tangent…

Q: Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a A. THE…

A: We can find the slope at the given point in the following steps.

Q: Direction: Find the equation of the tangent line to the function at x=a. 5. y = 2x³ + 4x²+7x-9 at…

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

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Q: Use implicit differentiation to find the equations of the tangent and normal lines at the point (9,…

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Q: (a) Find the slope of the tangent to the curve y = 1//x at the point where x = a. (b) Find equations…

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Q: What is the value of the slope of the tangent line to the curve x2- 2xy – 2y² = 1 passing through…

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Q: Estimate the slope of the tangent  line to each curve at the given point (x, y)

A: The points through which the tangent line passes through are 3,-1 and 0, 1.5.Concept - If the line…

Q: Find the slope and an equation of the tangent line to the graph of the function fat the specified…

A: Given that: The function f(x) = x + 1x and point 16, 174 .

Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the…

A: The given curve y4+5x2y2+4yx4-2y=83 at the point 2,1

Q: Find the derivative of y with respect to x. Please specify which formulas, equations, or rules you…

A: we can find the derivative as below

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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Q: ) Find an equation of the tangent line to the curve y = Vx at the given point (4, 2). e the…

A: topic - equation of a tangent line

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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