Given f (x) =x+x, find the equation of the secant line passing through (-5,f(-5)) and (1,f(1)). Write your answer in the form y=mx+b. O=0

Q: Find an equation of the line tangent to the curve defined by z2 + 6ry +y = 32 at the point (2, 2).

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Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation.

Q: Find the equation for the curve in the xy-plane that passes through the point (1, -1) if its slope…

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Q: Find the equations of both lines that are tangent to the curve y = x - 3x2 + 3x - 3 and are parallel…

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Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

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Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: Find the derivative of  g(z) = 4z7-3z-7+9x

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Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x

A: Rule:-equation of line passing thraught (x1,y1) and (x2,y2) is y-y1=y2-y1x2-x1(x-x1)

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point…

A: Given: y=x3-16x+6, 4,6 we know that equation of line which perpendicular to tangent at given point…

Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

A: v

Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of y/x2 at any…

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Q: the slope of the curve 2y2=ax2+b at (1,-1) is -1.find a,b

A: The equation of the curve is  2y2 = ax2+b…

Q: The equation of the line tangent to the curve y=3x+4/4x-3 at the point (1,7) is  a) y - 25x=-18 b) y…

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Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

Q: (b) Find the equation of the tangent line to the curve 8x²y3 – 5x? + 7y³ = 10(x – 3y), at the point…

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Q: 4) Find an equation of the line tangent to the graph of 2x³y³ = 2y – 4x at the point (-1, –1). Show…

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Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2,…

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

A: Explanation: Given that,  y=2x3-3x2-10x+1     Concept Used: 1. Slope of the tangent is the first…

Q: Find the slope of the line tan gent to the curve of 2y³ + xy + 1 = 0 at the point (-3, 1) .

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: Use the chain rule to find the derivative of f(r) 3e7z° +6z7

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the equation of the line tangent to 3x²y + 4xy2 = 6x² + 5y at the point (1,).

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Q: Find the equation of the line tangent to y = x2 - 1 going through x = 1

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Q: 2. y = Vp-1 V2p + 2

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Q: 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)

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Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: Find an equation of the curve that passes through the point (0, 2), and has the given slope y′ =…

A: y'=x4y, (0,2) Formula ∫xndx=xn+1n+1+C

Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

Q: find the homogenous linear equation of the function y = x2 sinx+ e5x

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Q: What is the equation of the line tangent to the curvev= x² – 1 at the point -2,3) y = x+ O y=-4x +…

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Q: Find the homogenous linear equation with real, constant coefficients that is satisfied by:…

A: Given that  Required differential equation is satisfied by   y= 6 + 3xe^x - cos x

Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

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Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y = 104 at the point (2, 2).…

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Q: The line y=3x+6 is tangent to the graph of y = (-48)/(x-6) at the point ?

A: The given equation of tangent is y=3x+6 and its tangent to graph of y=-48x-6. To find the points at…

Q: Find an equation of the curve that passes through the point (0,1) and whose slope at (x, y) is 11xy

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Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

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Q: The slope of the curve y^2-xy-3x=1 at the point (0,-1)

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Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

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Q: Find the equation of the tangent line to the curve y=x4 -14x2+17x+40 and perpendicular to the line x…

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get…

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: Find an equation of the line tangent to the curve defined by x^3+6xy+y^5=21 at the point (2,1)

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Q: At what point (x,y) is the tangent line to the curve y=2x2-5x+8 parallel to the line y=3x-7

A: It is given that

Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the…

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Q: Find the equation of the family of curve whose slope at any point (x,y) is 3x^2+4

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