Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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Q: Find the equation of the tangent line to the curve (y-2)² = 4x +5 at P(1,5).

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Q: y = Vx+3 at x = 1

A: Given curve is y=x+3. To find the equation of the tangent line to given curve at point x=1.…

Q: Find the equation of the tangent line at the given value of x on each curve.  y3 + 2x2y - 8y = x3 +…

A: The given curve is  y3+2x2y-8y=x3+19 .......(1) differentiate of eq(1) with respect to x

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 9x? - x, (1, 9) %3=

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Q: Write an equation for the tangent line to the graph of y = e* + x² + 1 at x = 0.

A: we have to write an equation for the tangent line to the graph of  at x=0.

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex5 −…

A: Given equation of curve is Differentiating with respect to x, we get We know that slope of tangent…

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

A: Find a.) the slope of the curve at the given point P We have given the curve y=x2 – 5 and a point…

Q: Find an equation for the tangent line to the curve defined by the equation ?x^2y^2+ xy + y = 1 at…

A: Given: x2y2+xy+y-1=0 for finding equation of tangent for given curve at given point, we need to find…

Q: Find an equation of the tangent line to the graph of the function at the given point , y = x2ex −…

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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: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Find the equation(s) of the tangent line(s) to the graph of the equation at the point x = 1: xy?…

A: given xy2-y-2=0 to find the equation of tangent at x=1

Q: Find an equation of the tangent to the curve at the given point. x = 2 + t2 − t,    y = t2 + 2,…

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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: "Find the equation of the tangent line at the given value of x on each curve.:y3 + 2x2y - 8y = x3 +…

A: To Determine: Find the equation of the tangent line at the given value of x on each curve.:y3 + 2x2y…

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=x2-4x and the point is 1,-3

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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Q: Find the equation of the tangent line drawn to the curve y4−4x4−6xy=0 at the point M(1,2).

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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: ind an equation of the tangent line at x = a. y = x2 + 3; a = -2

A: Given: y = x2 + 3; a = -2

Q: 1 y = x² +1 at x = 2

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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 at the point indicated. s(t) = ln(8 − 4t), t = 1

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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.…

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Q: Find an equation for the tangent line to y=f(x) and the specified point Answer in y=mx+b form

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

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

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Q: Find an equation of the tangent line to the curve at each given point. x = t2 − 4,    y = t2 − 2t…

A: Find an equation of the tangent line to the curve at the point (0,0).

Q: Find the equation for the tangent line to the given curve at the point where x=x0…

A: Given : y = (x2 + 3x -1)(2-x) and x0=1  To find :  Equation for the tangent line to the given curve…

Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

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

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Q: nd an equation of the tangent line to the curve at the given poir y = x4 + 9x2 - x, (1, 9)

A: We will find the tangent line.

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: Provide the equation of the tangent line at the given curve at the specified point x^3+xy^2=5;…

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Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Produce the equation of the tangent line to the given curve at the specified point 2x^4+xy^2=11;…

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Q: Find an equation of the tangent line to the curve at each given point. x = t2 - 4, y = t² – 2t at…

A: Let x = t2 - 4, y = t2 - 2t Given point is (x, y) = (-3, -1) It gives us, t2 - 4 = -3, t2 - 2t = -1…

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: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

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Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

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Q: Find an equation of the tangent line to the curve at the given point. y = √ x,  (81, 9)

A: Given: y=x, (81, 9)

Q: Find the equation of a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = x2ex −…

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Q: f(x)=e*(7x' – 5x² + 2); at x =0

A: Given function: f(x)=ex(7x3-5x2+2) To find the equation of tangent line , find out slope at x=0…

Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

Q: Find an equation of the tangent line to the graph of  y = e−x2  at the point (5, 1/e power of 25)

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Q: Find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

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