Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y = 5.7x + 11.4 Additional Materials

Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

Q: y = 7x + e5x ; (0, 1) %3D

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = (e4x −…

A: We first have to find y'We apply exponent rule and chain rule.y'= 8(e^(4x))*(e^(4x)) -4)

Q: 58. Find an equation for the tangent line to the graph of y = Vx? + 3x at the point (1, 2).

A: The given function is y=x2+3x. Compute first derivative as follows. dydx=ddxx2+3x=12x2+3x…

Q: Find an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

Q: = e=x², 1 at the point 3, Find an equation of the tangent line to the graph of y =

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Q: b. b. y = 2 1+e-x at (0,1)

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Q: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x? –…

A: Given:    y=4-x2-ln12x+1 at (0,4)   We are given that x0=0   The value of function at given point…

Q: Q.3 a).Find equations of the tangent line and normal line to the curve y =x} - x+ 2 at the point (1,…

A: First find slope at given point then use equation of line

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

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Q: Determine the equation of the line tangent to the curve at the given point. y = In(x? – 5x + 1), (5,…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: The given curve,  y=x+2x-23 at x=1

Q: 38. Find an equation of the tangent line to the curve at the given point. y = xe-x?. (0,0)

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Q: Find an equation of the tangent line to the function y 5x at the point P(1, 5). Solution

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Q: Find an equation of the tangent line to the curve 2(a² + s7)° = 25(m² – y) (a lemniscate) at the…

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

A: GivenParametric eqautionx=t-ty, y=g+t2, t=1To findEquation of tangent at t=1

Q: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

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Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of…

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Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

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

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Q: Find an equation of the tangent line to the graph of the function at the given point.

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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=7-x,   P(-2,3) now find slope of this equation dydx=-127-xat P(-2,3) dydx=-12×3=-16 so…

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

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Q: Determine an equation of the tangent line to y = (e +2)ª at the point (0, 81), then solve it for y.…

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Q: Find the slope of the tangent line to the curve 3xy- 5y 4 at = 1. ECAD Hint: what is the y-value at…

A: Differentiate at given point

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

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Q: (c) Find an equation of the tangent line to the graph of x2/3 + y2/3 = 5 at the point (1,8).

A: Given: The equation of the graph is  x23 + y23 = 5 To find: The equation of the tangent line to the…

Q: 2 Find an equation of the tangent line to the curve y at the point(0,1). (1+e¬x)

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

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Q: (2) At what point(s) will the tangent line to y = x? - 4x +3 be horizontal

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Q: Find an equation of the tangent line to the curve

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Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: Find the equation of the tangent line to the curve y = (1 + 2x)? at the point (4, 81). y =

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have…

Q: VI find the tangent lines to the curve y= x-14x+17x+40 perpen dicular to the line x-7y = 4

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Q: 3. Find the equation of the tangent line to the graph of the function at the given point. (a) #61. y…

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Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

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Q: Find the slope of the tangent line to the given curve at t=3. Sx=²-7 The slope is

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

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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Q: Find the equation for the tangent line to the curve 3x? +3= Inxy? when x 1 ||

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Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: Find an equation of the tangent to the curve at the given point. x 3 , y = t2 3, (3, 4)

A: Given curve is

Q: Find an equation of the tangent line to the curve at the following point: y = z°e², (1,1/e) y =

A: SOLUTION-

Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

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Q: Find an equation of the tangent line to the graph of Y=x(x+1)^5 at the point (2,486)

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Q: Find the slope of the tangent line to the graph at the given point (x2 + y?)2 = 4x²y, (-1, 1)…

A: If , then the independent variable x is called the input of the function and the dependent variable…

Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.