2i Find the eguation of the tangent: lime to tul Cur ve y=4x -x* at the point (l,3).

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the…

A: The given curve is: f(x)=6x+15-15ex

Q: Find any points on the curve given by x = cos t, y = sin 2t, 0<t< 2n where the tangent is vertical.

A: The given parametric equations of curve are  x = cost y = sin2t To find the slope of the tangent,…

Q: On the curve y = x², find a point at which the tangent is parallel to the chord joining (0, 0) and…

A: To find the point

Q: Determine the slope of the tangent line to the curve A(x) = at x=-0.81 (answer in 2 decimal places,…

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Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

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: Find the points on the curve y = x3 + 3x2 - 9x + 8 where the tangent is horizontal. smaller x-value…

A: Explanation of the answer is as follows

Q: Find the slope of the tangent to the curve at the point specified. x + 2xy + y? = 25 at (1, 4) %3D

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Q: use the defin ition of derivative at t he slope of tangent llne of the cuwe f(x)=t at x= | Poiat to…

A: According to the questionF(x)=1x2+5,     x=1

Q: The tangent line to the curve il me f(a) at 2 m 1 goes through the points y=f(x) x == and Find the…

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Q: Since the tangent equation of f(x) = x^3 – x^2 + 3x – 5 drawn from the x = 1 apse point on it is y =…

A: Given : Function  f(x) = x3 – x2 + 3x – 5 Tangent equation on the given function f(x) at point x =…

Q: is the equation af tangent line at X=/ y = mx+b. to the giaph of f c) =x² -x at x=/ m%= b.

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Q: Prove that the point of the tangent intercepted between the axes at any point on the curve x…

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Q: The slope of the tangent line to the curve + 2y? = 2x² + y at the point (1, 1) is Select one: 3. O 2…

A: Explanation of the answer is as follows

Q: The equation of tangent line to y =27 7sinx at the point () is is: Select one: a. y=2x b.y=-2x+2T O…

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Q: ind the slope of the tangent to the curve 'x + y°x? = 6 at (2,1)

A: Here we need to find the derivative of the given function with respect to x

Q: Show that the sum of the x - and y  -intercepts of any  tangent line to the curve  sqrt x + sqrt y =…

A: We find the dy/dx then we find the slope at a point (h,k) by plugging x=h and y=k

Q: Find the eauation of the tangent line at (2,1) of 4x"+ 8 } - 25Xy+4y= 0?

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Q: Find the points on the lemniscate where the tangent is horizontal. 2(x? + y²)2 = 25(x² – y²) (х, у)…

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Q: At the point where x = 0, the tangent to f(x) =e* +px+q has equation y = 5x-7. Find p and q. %3D

A: slope of tangent to curve f(x) is f'(x)

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

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Q: Find the eguation for the tangent line to y = fcx) at the specified point. fcx)= xe-X ; where X=O ノ

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Q: Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 – y2) x, y)…

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Q: For what vaules of x in the interval [0,2π) does the fraph of g(x)= (√3)x+2sinx+7 have a horizontal…

A: For horizontal tangent,first derivative must be zero

Q: ind the equation of the tangent line to y = f(g(x)) at x = 1. %3D

A: We have given two graphs of two functions f(x) ,g(x). We have to find the equation of the tangent…

Q: Find the equation of the tangent line (assuming it exists) to f(x) = x² + x at x = -2. Give your…

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Q: Find the slope of the tangent line to the graph of yx? + xy = 2 at (1, 1)

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Q: Find the equation of the tangent line to y= sech? (x) . = In(3). at x

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Q: Find the tangent line, in standard form, to y= f(x) at the indicated point. y = 4x2 – 5x + 8, at x=…

A: →Let y=f(x)    Slope, m =dydx→Equation of straight line passing through (xo,yo) with slope m is…

Q: 9. At what point(s) on the circle x 2 + y? = 13 is its tangent line parallel to the line 3x – 2y = 6

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Q: Find the slope of tangent to the curve y = sin5x + 3x T 37 %3D at 2 2

A: Given :- Curve is y = sin5x + 3x Coordinates are (π/2, 3π/2)

Q: On the curve y=x', find a point at which the tangent is parallel to the chord joining (0, 0) and (1,…

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Q: Find f(4) and f' (4), assuming that the tangent line to y = f(x) at a = 4 is y = -6x + 2. %3D

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Q: Find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is horizontal. If there are…

A: Here, we need to find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is…

Q: The slope of the tangent line to the graoh of y = In x at x = a approaches infinity as a 0t. Select…

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Q: 3. Find the slope of the tangent line to r²e♥ + y²e² = 2e at (1,1).

A: Please see the answer below

Q: On the curve y=x2 ,find a point at which the tangent is parallel to the chord joining (0,0) and…

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Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

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Q: On the curve y=x2,find a point at which the tangent is parallel to the chord joining (0,0) and (1,1)

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Q: Find the tangent to  y=square root of x2-x+4    at x=1 y=?

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find the slope of the tangent to the curve y² In(x) + x²y = 4 at (1, 4). %3D Need Help? Read It

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Q: the slope of the tangent line to y= f(x) at x=c is ?

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Q: tb is the equation af the tangent line f cx) = x² - x If m X to the guaph of at x =1 then m= b=

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Q: Find the points on the curve y = 2x3 + 3x? – 12x + 9 where the tangent line is horizontal. (x, y) =…

A: we have to find the points on the curve where the tangent line is horizontal. y=2x3+3x2-12x+9

Q: Q1) Find the tangent y = vx2- x +7 at x = 2.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the points on the curve y = x3 + 3x2 9x + 4 where the tangent is horizontal. smaller x-value…

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Q: Find the tangent to y=x- 3Dx-x+13 at x=D4.

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Q: For what value(s) of x is the line tangent to the curve y = xV6 - x horizontal? Vertical?

A: Given curve is: y=x6-x Differentiating with respect to x we get,…