4. Find the slope of the given function y3 = 4x with points (1, 2) using long method. Plot the curve

Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the…

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is…

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

A:

Q: Determine the slope of the curve y =1/x+1 at point (−2,−1).

A:

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

A:

Q: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

A:

Q: If ƒ′(x) = 3x + 2, find the slope of the line tangent to the curvey = ƒ(x) at x = 1, 2, and 3.

A: Slope of the tangent line is the derivative of the given function at the given point. Therefore…

Q: If y=mx+b is the equation of the tangent line the curve y = x- 3x +5, which is parallel to the…

A: We will solve the problem

Q: 12. Determine the y-intercept of a line with a slope of -2 that is a tangent to the curve: y =…

A:

Q: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

A:

Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

A:

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

A: y=x3+2x   x1,y1 =1,3dydx=3x2+2slope of tangent at point1,3dydx1,3=312+2 = 5Slope of the tangent m =…

Q: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

A:

Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: Find the slope of the tangent to the curve y=4/(5-4x) at x1=9

A:

Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

Q: ) Find the equation of the line normal to the curve x'y+ y'x = 10 at point (1,2).

A: Slope of a normal to the function y=f(x) at point m,n is given by the value of -dxdy at m,n Equation…

Q: 7. By definition find the slope of curve y = x2 – 2x – 3, at P(2, 3).

A:

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: 2. Find the slope of the curve at the point indicated. a. y = 5x – 3x²,x = 1 x-1 b. y =,x = 0 x+1

A: Find the slope

Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

A:

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

A:

Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points…

Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: Determine slope of a curve y = x³3 + 1 at x = 1

A:

Q: find the slope of the curve at the given points (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)

A:

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: Find the points on the graph of y = ex where the tangent line has slope 4.

A:

Q: Find the eqaution of the curve that passes through (0,1) if its slope is given by y'=1/2X at any…

A:

Q: Find the slope of the curve at the given point: 1. ( X+2y)^2 =x+10 at (-1, 2)

A: Here I am attaching image so that you understand each and every step. slope of the curve given at…

Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

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

A:

Q: 7. Find an equation of the line tangent to the curve y = 3x² – 1 and perpendicular to the line x

A:

Q: Find the slope of a line tangent to the curve y = 15x- 5x at x = 1

A:

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

A:

Q: Find an equation of the curve that passes through the point (1, −2), and has the given slope y′ =…

A:

Q: Find the slope of the tangent to the curve y=2/(8-5x) at x1=6.

A: Calculate the differentiation:-

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find the slope of the line normal to the curve y x3 – 2x + 1 at x = 2

A: Our Aim is to find the slope of the line normal to the curve y=x3-2x+1-(i) at x=2.

Q: 5. Find the point on the parabola y=-x+3x+4 where the slope of the tangent line is 5.

A:

Q: The slope of the line tangent to the curve y = x*- 8x3 + 22x² – 24x + 9 at x = 1 is _.

A:

Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

A:

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

A: To Determine: Find an equation of the curve that passes through the point (0, 1)and whose slope at…

Q: Show that the curve y = 6 x 3 + 5x -3            has no tangent line with slope 4.

A: y=6x3+5x-3 has no tangent line with slope 4

Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

A:

Q: At what point on the curve x = 9t2 + 6, y = t3 − 9 does the tangent line have slope 1/2?

A: Given parameteric equations of curve,   .x = 9t2 + 6 , y = t3 – 9   To find the point on curve…

Q: find an equation of the tanfent line to the curve at the given point y = 4x – 3x², (2, –4)

A:

Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.

Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1