5. The angle between the tangent line and the normal line is (a) 180° (b) 90° (c) 45° 6. If x= 3t-2 and y = 3t²-9, then dy dx (a) 3t (b) 2 is 3 (d) 0° (d) 2t

Q: Show that an equation of the tangent line to the graph of =D2 at the point (a, b) is given by 2. b…

A: It is given that, Now take the derivative of the given function with respect to 'x'. Therefore,…

Q: 20. Show that -V3 is in the range of the tangent function by finding an angle 0 for which tan 0 =…

A: Given:  tan θ = -3To Find : The value of θTo Show:  -3 is in the range of the tangent…

Q: 2. Find the slope of the tangent line to rJī+ yJF = 10 at (1,8).

A: We use implicit differentiation with product rule

Q: 58. Find an equation for the tangent line to the graph of y = Vx? + 3x at the point (1, 2).

A: The given function is y=x2+3x. Compute first derivative as follows. dydx=ddxx2+3x=12x2+3x…

Q: For what value of x is the tangent line to the curve y= x2 –6x+5 horizontal?

A: We have to solve the problem

Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

A:

Q: The tangent line to y = f(x) at (9,-10) passes through the point (6,-5). Compute the following. a.)…

A: Given query is to find the value of function and derivative at x = 9.

Q: Find the slope of the tangent line for the curve r = - 6 – 5 cos 0 when 0 2

A:

Q: x sec? x? dx; u = x' see2

A:

Q: Find an equation of the tangent line to the curve y = at the point (1,). 8 + Vx Confirm this tangent…

A:

Q: b, = (2/5) and b,= (5/8), and 0 be the xy ух acute angle between the lines, then tan 0 is : (A) 20/4…

A:

Q: Find the equation of the tangent line to y = 2x + 3e¬² at x = 0. Circle your final answer.

A: Equation of the tangent at point (x1,y1) is  y-y1 = slope (x-x1)

Q: View Prev The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x²+2y² –…

A:

Q: Find the slope of the tangent line to the curve

A: Follow the procedure given below.

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

A:

Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: 3. a. C. Find the equation of the tangent to the curve at the given point. 3√x 5x2+1 y² = 2xy - 3,…

A: Note:As per our guidelines we are supposed to answer only  first 3 sub parts if there are multiple…