Consider the following curve. X + 3 y = X - 5 Find the slope m of the tangent line at the point (4, –7). m = Find an equation of the tangent line to the curve at the point (4, –7). y =

Q: Q1: Find an equation for the tangent to the curve at the given point. 1.y=2Vx (1,2) 2.y = (x – 1)2 +…

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Q: Find an equation of the line tangent to each of the following curve at the given point. y + Vxy = 6;…

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

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

A: Given: y=x2-x, P4,-2 We know that for any given functiony=fx slopem of tangent at pointx1,y1 is…

Q: If y=1/x, and y1 and use this result to find the points on the curve y=1/x where the tangent line…

A: The given curve is y=1x. Its derivative is given by y'=-1x2. Given that slope of the tangent line at…

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

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Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5).…

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

Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

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

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Q: Consider the following equation. 4x3 + 3y2 = 52 Step 2 of 2: Find the slope of the tangent line at…

A: The given equation is 4x3+3y2=52. Evaluate dydx using implicit differentiation as follows.…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given curve:

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given : y=1-5x2, P(2,-19)

Q: Consider the following curve. y = V8 - 17x Find the slope m of the tangent line at the point (-1,…

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Q: Consider the following curve. y = 3x2 – 11x + 1 Find the slope m of the tangent line at the point…

A: Given that: Equation of curve is: y=3x2-11x+1        and point on the curve is (4,5)

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 y' and the slope of the tangent line to the graph of (3x - 5y)5 = 2y2-9 at the point (3,2).…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the given…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Q1:Find an equation for the tangent to the curve at the given point. 1.y=2v (1,2) 2.y = (x– 1)2 + 1…

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: Find the values of a and b for the curve x2y + ay? = b if the point (1,1) is on its graph and the…

A: The slope of the tangent 'm' at a point (x1,y1) for a curve S(x,y) Is given by dydxx1,y1 therefore…

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

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

A: The given function is y=x3 and the point is 2,8.

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: For x/y + 5x - 7 = (-3/4)y, (1,2), find the equation of the tangent line to the graph of the given…

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Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

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

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Giveny=x3−3x2+4,P2,0

Q: If a curve is given by x(t)= t3 - 4t2 + 4t +3 and y(t)=t+3, then the equation of the line tangent to…

A: No. The line is not tangent to the curve at the point (3,5). The following picture shows the graph…

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

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Q: A curve is given implicitly by the following equation .2 (x + y)² + x²y = 11 Find the slope of the…

A: Given the equation of the curve is  x+y2 + x2y = 11

Q: Consider the following curve y = 2x^2-9x+1 a. Find the slope m of the tangent line at the…

A: Given         y=2x2-9x+1→           1       slope of the tangent line is        dydx=ddx2x2-9x+1…

Q: Consider the following curve. Find y'(x). -*+4 y'(x) = (4 + *)? (+ )» Find an equation of the…

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: We have to find: a slope of the curve at the given point P and b an equation of tangent at the given…

Q: Consider the following curve. y = V1 - 24x Find the slope m of the tangent line at the point (-1,…

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Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

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Q: Consider the following curve. y = 2x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

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Q: Ql: Find an equation for the tangent to the curve at the given point. 1.y=2V (1,2)

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Q: Find the values of a and b for the curve x2y +ay2 = b if the point (2, 2) is on its graph and the…

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

A: Equation of tangent to a curve y=f(x) at a point (x0,y0) is y-y0=f'(x0)(x-x0)

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: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given: y=7-x Differentiate given equation with respect to x we get, dydx=-127-x Now at the point…

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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

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

A: To find: The slope of the curve and equation of tangent line at point P of the below curves. Given,

Q: Find an equation for the tangent to the curve at the given point. y = x3/2 , (5, 62.5)

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…