Find the equations for the two distinct tangent lines to the curve y= x^2 that pass through the point (-1, -3).

Q: The slope of the tangent line to the curve y=4/x at the point (9,49) is:

A: To Determine: Slope of the tangent line to the curve at the point (9 , 49). Given curve is:…

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

A:

Q: Find an equation of the tangent line at the given point.…

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Please Find an equation of the line tangent to the curve defined by x^4+2xy+y^3=4 at the point (1,1)…

A: The given problem is solved below in detail.

Q: Find equations of the tangent line and normal line to the curve  y= x sqrt x  at the point  (1,1) .…

A: Given curve: Let the slope of the tangent line to the given curve is m. And the slope of the normal…

Q: Please Find an equation of the tangent line to the curve y=5^x at the point (2,25) . Tangent line:…

A:

Q: Find the equation of a curve whose tangent line has slope 2x – 5 and the curve passes through the…

A:

Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: Find the equation of the tangent line to the curve y = (2? - 8)' at point (5, 2). y =

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

A:

Q: Find the equation for the tangent line of the graph of 4 y = x² at (-2, 16). Equation:

A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Topic:- derivatives

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: The given function is f(x)=4x-x2   from given figure it is observed that the points are 1,3  and…

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: ction defined by f(x) = x2 – 3x + 4 at (-1, 2). Write

A: we have to find the slope of the line tangent to the graph of the function defined by  f(x) = x2 –…

Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

A:

Q: the tangent line to the graph (x^2 + 4)y = 8 at the point (2, 1).

A: Use formula of  equation of tangent  line

Q: find the equation of the tangent line to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

A:

Q: Write the equation of the tangent line to the curve = 2 at the point (1,1). .3

A:

Q: Help to find the equation of the line tangent to the curve y = 6 / x when x = 3.

A: Given curve is y=6x When x=3 then y=63=2 So, point is (3,2) Equation of tangent line at any point…

Q: Find the slope of the line tangent to 2xy + π sin y = 2π through the point (1, π/2).

A: The slope of the line tangent to 2xy+πsin y=2π through the point 1,π2.

Q: Find the equation for the tangent line of the graph of y = x² at (-4, 16). Equation:

A: The given equation is; y=x2 at (-4,16)

Q: Find the equation of tangent line at the specified point  x ²/³ - y ²/³- y =1 ;(1, -1)

A: Given curve is x23-y23-y=1. To find the equation of tangent line at the point 1,-1. Solution: First…

Q: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…

A:

Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

A:

Q: 4. at the point 8, The slope of the tangent line to the curve y is: - The equation of this tangent…

A:

Q: Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x2y - x =…

A:

Q: Write an equation of the tangent line to the curve x2+y2-25=0 at the point (3,4).

A:

Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

A:

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 4x^2 − x^3, (1, 3)…

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: find the equation of a tangent line for y=arcsin(x/8) at the point (4,π/6)

A:

Q: Find the slope of the tangent line to the curve defined by 9x³ + 5xy + 2y² = -1744 at the point (–6,…

A: Given Line 9x3 + 5xy + 2y2 = -1744 At point (-6,-5)

Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

A:

Q: Find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2)

A: Given equation of curve is y=x2-x-2. To find the equation of the tangent line to the given curve at…

Q: Find the equation of the tangent line to the curve y = In(x³ – 63) at the point (4, 0). Tangent Line…

A:

Q: How many tangent lines to the curve pass through the point (1, -3)?

A: We know that slope of the tangent at any point on the curve is equal to the value of the first…

Q: Find an equation of the tangent line to the graph of the equation x + y – ex - Y = 5 at the point…

A:

Q: Find the equations of the two tangent lines to the graph of f that pass through the Indicated point.…

A:

Q: What is the equation of the tangent line of the function y = 2 + x² at point (3, -2)?

A: y=2+x2

Q: Find the equation of the tangent line to the curve y = x³ – 4x + 3 at the point (3, 18). Tangent…

A: Answer and explanation is given below...

Q: find an equation of the tangent line that passes through y=x^3+x+4 at (-(2,-6)

A:

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

A:

Q: Find equations of the tangent lines at the point

A:

Q: What is the value of the slope of the tangent line to the curve y = 2x² + x – 3 at the point (–1,…

A:

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

A:

Q: The equation of the tangent line to the curve X2+y2=169 at the point (5,-12) is

A:

Q: What is the slope of the tangent line to the curve 3y- 2-6-2xy at the point (3, 2)?

A: Given,           3y2-2x2=6-2xy     To find slope, let's differentiate. wrt.x           3.2y…

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

A:

Q: Find the slope and equation of the tangent line to the curve y = x2 – 4x + 5 at (2,-3)

A: Given curve is : y = x2-4x+5 We have to find slope and equation of tangent line to given curve at…