Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.
A: I am going to solve the given problem by using some simple algebra to get the required result.
Q: How do I do this?
A: We are given a function and at a point
Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).
A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…
Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13
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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 slope of the tangent line to the curve (2x + 4y+ /2xy = V16 + V12 at the point (6, 1). %3D…
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Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.
A: Solution :-
Q: II. Find the equation of the tangent and normal to the curve at the indicated point 1. y =x at (2,4)
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Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb
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Q: The slope of the tangent line to the curve y^2 = 5x – 1 at P(1, 2).
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Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…
A: Given that: xy+1x2=2x2+y
Q: 3. Find the points where tangent lines are vertical or horizontal: x³ + y³ = 6xy
A: Given:- x3+y3 = 6xy To find :- Points where tangent horizontal and vertical
Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.
A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…
Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D
A: The solution of the problem is given in the next step.
Q: Find the point(s) on the graph of y = (x2 – 168)e × where the tangent line is horizontal. Identify…
A: Given y=x2-168ex Consider, fx=x2-168ex To find the points on the graph where the tangent line is…
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: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.
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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: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…
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Q: Determine the slope of the tangent line to the curve y = In(x²) at x = e 2 1 e4 Option 2 Option 3 1
A: differentiate it with respect to x at given point to get the slope of line.
Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.
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Q: 50. Find an equation of the tangent line to the graph of y = Vx/(x + 1) at (a) x = 1; (b) x = !.
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Q: 3. Find the slope of the tangent line to x? = (y² + 1)(x + y) at (0,0).
A: As we know that: The slope of the tangent line to the given curve is equal to the derivative of the…
Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…
A: Equation of tangent line is given by- y - y1 = m (x - x1)
Q: 2. Find the slope of the tangent line to f(x)=V4-V+5 at the point where x 4.
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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT. 4.…
A: we only solve one problem at a time, please upload it one by one
Q: 5) Find an equation of the tangent line to the curve y = 2x sinx at the point (T/2,TT)
A: Given : y = 2xsinx
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: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…
A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…
Q: 4. Find the equation of the tangent line of the graph of f(x) = 12/T – 16 at the point where the…
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Q: (5) Find all the points on the curve y = 1/x where the tangent line is perpendicular to the line y =…
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Q: Find all values of x at which the tangent line to the curve x + 7 is perpendicular to the line y =…
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Q: Q#1. Find the x-coordinate of the point on the graph of y =x² where the tangent line is parallel to…
A: The given curve is y = x2 Secant line cuts the curve at x = - 1 and x = 2
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: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…
A: We know , The equation of tangent is : Y - Y1 = m ( X - X1) The equation of…
Q: n) Find the equation of the tangent line to the curve y = (1 + x*) at the point | 1, %3D
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Q: 20. Locate the points on the curve xy (1 - x- y)2 where the tangents lines parallel to the x- axis.
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Q: (a) Find the slope of the line tangent to the curve y = sin x at the point where x = T/3. (b) Show…
A: (a) we have to find the slope of the tangent line to the curve y=sin5x at the point where x=π3. as…
Q: The x value(s) of the point(s) where the tangent line(s) to the curve y = ³ - 6x that have a slope…
A: Here we have to find the value of x.
Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D
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Q: Find the slope of the tangent line to the curve x+y3D6 xy at the point (3,3). (a) 0 (b) -1 (c) 1 (d)…
A: To find: slope of tangent line at the point (3,3) to the equation of curve given below.
Q: B) Find the slope of the line tangent to the curve y = sin x at the point where x =
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Q: y(x)=1/x+1 estimate the slope of the tangent line of y(x) at the point x=4
A: The slope of the tangent line of y(x) is given by differentiating y(x) wrt. x.
Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)
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Q: 1. Find the equation of the tangent line of the curve cot (x + y) – sin (x - y) = 1 at (0, n 2 ).
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Q: 14. Find the point(s) of the tangent to the curve h(x) x3 5x2 – 8x + 3 with same slope 3 4 as 48x +…
A: first find the slope of curve h(x) then find the slope of line. Therefore equate both slope in the…
Q: 5. Find the equation of the tangent line and normal line to the curve f(x)= at the point(,4).
A: The tangent line is horizontal where y'=0. So at first we differentiate the given curve and equate…
Q: B) Find the slope of the line tangent to the curve y = sin3x at the point where x =
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