a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. x3 +y3 = 34xy: (17,17) a. Verify that the point is on the given curve. Evaluate x + y for x = 17 and y = 17.

Q: B)Find the equation of all lines having slope (-2). That are tangent to the curve? 3 y = x-1

A:

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

A:

Q: Determine the slope of the curve defined by the equation x?y2=2x+In(y) at the point (2,1). O 2 O --…

A:

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

A:

Q: Determine the slope of the curve x² + y? – 6x – 4y – 21 = 0 at the point (0,7). - а. 3/5 b. -3/5 с.…

A:

Q: Find an equation of the line that satisfies the given conditions. y-intercept 1; parallel to the…

A: When two line are parallel to each other,then their slopes must be equal.

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: At what point on the curve is the tangent perpendicular to the line 4x - 3y + 2 = 0?

A: Given, y2=2x3line 4x - 3y + 2 = 0 and we have find point on the curve is the tangent perpendicular…

Q: Suppose a curve is defined by the equation 16(x² + y²) = 45. Show that if you translate the curve to…

A: we have to translate the curve.

Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

A:

Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: find the equation of the line tangent to the curve at the given point x2y2=4y ;(2,1)

A:

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A:

Q: Find the slopes and equations of the lines tangent to y = f(x) at the given point.

A:

Q: For what values of a and b is the line – 2x + y = b tangent to the curve y = ax? when x = 3? - - a =…

A: Given: To determine the values of a and b is the line -2x+y = b tangent to the curve y=ax2 when x =…

Q: Q2: Find the points on the curve y 2x3 -3x2 -12x + 20 where the tangent is a. perpendicular to the…

A: Curve y = 2x3-3x2-12x+20 To find the points on the curve y where tangent is   Perpendicular to the…

Q: For what values of a and b is the line 5x + y b tangent to the curve y ax³ when x = 2? a = b

A: Given curve , y=ax3-1 at x=2and given line 5x+y=6-iiwe have to find the values of a and b such…

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0,…

A:

Q: Which of the lines in Figure  are tangent to the curve?

A: Given, A curve with lines A,B,C,D from geometry we can define tangent as a tangent line on a plain…

Q: Find the equation of the line tangent to the curve a = 3t2 +8, y= 8t +3 at t = 2 Answer:

A: The solution is given as follows :

Q: find equation for the lines that are tangent andnormal to the curve at the given point.xy + 2x - 5y…

A: Given : The equation is x y + 2x - 5y = 2 and point (3, 2).

Q: verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

A:

Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Consider the given curve x5y5 = 32, normal at (2,1)

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: Find an equation of the line that satisfies the given conditions. y-intercept 1; parallel to the…

A: To find an equation of the line Given conditions : y-intercept - 1, parallel to the 5x+6y+7 = 0. Two…

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Slope of line or tangent of line Is = derivative of y with respect to x that is dy/dx of line

Q: Verify that the given point is on the curve and find the lines that are a. tangent and b. normal to…

A: Substitute the point (-3,-1) in the given equation.

Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: c. Find the equations of the line tangent to the curve y = x³ + x, where the slope is equal to 4.

A:

Q: y2 = 2x3 At what point on the curve is the tangent perpendicular to the line 4x - 3y + 2 = 0?

A:

Q: x - Find the equation of the line tangent to y = at the point (– 3, – 2). Write your answer in slope…

A: Given curve is y=x2-1x-1 Differentiate y with respect to x using Quotient rule of differentiation.…

Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x°y =…

A: Explanation of the answer is as follows

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

A:

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the midpoint of the line segment joining the points P1 and P2 . Equation: y3 = x + 1Points: (1,…

A: Given y3=x+1 Points: (1, 2); (0, 1); ( - 1, 0)

Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

A:

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4…

A: Given function, y=x3-4x+2Diferentiate w.r.t.…

Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: use property of chain rule to find the slope and equation of tangent line

Q: The equation of the tangent line to the curve a? +y = 25, at (8,-12) is. 12 (x+8) – 12 8 y = 8. y =…

A:

Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Given y6+x3=y2+12x To find the slope of the curve , take derivative Given point is (0,1)