to find the answer, using 9) Find the Linearization of (x) = a - integers

Q: find y' and the slope of the tangent line to the graph of  (3x - 2y)^7 = 2y^2 - 9 at the point…

A: The given equation is- 3x-2y7=2y2-9 Since, y' =dydx is the slope of the tangent line, Then…

Q: A curve on the xy-plane passes through the point (0, a) for some number a, and has the property that…

A: This problem is based on a variable separable first order ordinary differential equation. We have to…

Q: (a) Find all the points on the graph of (x² + y? + y)2 x² + y? that have horizontal tangent line.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the two possible values of a so that the tangent lines to f(x) = x3+2x2 and to g(x) = 8x-3x2 at…

A:

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: Given S(x) = x* –12x². i) Find if exist, the maximum and minimum points of the curve by using second…

A: We will use the second derivative test to find the maximum and minimum points of the curve.

Q: Find an equation of the tangent line to the graph at the given point. x^2y^2-9x^2-4y^2=0, 4,2sqrt3

A:

Q: aber of linearly 1 is

A:

Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Find the slope of the tangent line to the curve - 3x² + 2xy + 2y 3 - 38 - at the point (4, 1).

A:

Q: A stationary submarine is 2 km due south of a ship which is steaming due east at a speed of 20 km/h.…

A: please see the next step for solution

Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing…

A: Solution:Given          y2=Cx3Formula:d(xn)=nxn-1∫xn dx=xn+1n+1+C

Q: Find all points on the graph of ƒ(x) = 9x2 - 8x + 4 where the slope of the tangent line is 0.

A: ƒ(x) = 9x2 - 8x + 4

Q: Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

A:

Q: Find the length of the following curve. y = 2x + 4 on 3-2, 24 (Use calculus.)

A:

Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing…

A:

Q: リ= 3x3-x2+6

A: Given query is to find the equation of the tangent.

Q: Find a such that the tangent lines to y = x3 − 2x2 + x + 1 at x = a and x = a + 1 are parallel.

A: Consider the function: yx=x3-2x2+x+1 Slope of a tangent at any point of a function is given by…

Q: Find the slope of the tangent line to the curve - 3x + lay+ 3y = 199 | %3D | at the point (1, – 4).

A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

Q: Given that the graph of f(x) passes through the point (7, 3) and that the slope of its tangent line…

A: Use the fact that derivative of a curve is the slope

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

A:

Q: The slope of the tangent line to the curve at (x,y) point is defined by 3log3 (1- ) (k +1). If the…

A:

Q: 6. Find the member of the curve whose slope at any point is √y and passes through the point (2, 1)

A:

Q: Find the slope of the tangent line to the curve 4x2 3xy 2y 168 - at the point (2, 4).

A:

Q: Find the length of the curve y = In(1-2) over the interval

A:

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 7x + 1), (7,0) y =

A:

Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

A:

Q: Find the exact length of the curve. 는x - - In(x), 1<x<6 4 2

A:

Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing…

A: Solution:Given     x2-2y2=CFormula:d(xn)=nxn-1∫xn dx=xn+1n+1+C

Q: Use the given slope field to sketch the particular solution associated with the condition.

A: In this question, we two slope fields for the associated IVP. (a) To sketch the particular solution…

Q: Find the equation of the tangent line to the graph of x^2 * y^2 + 6xy =1512 at the point (-7,6)

A:

Q: 4. Find the member of the curve whose slope at any point is and passes through the point (3, 4)

A: Given slope (m) = 3x/4y Passing through a point (3,4) Therefore member of the curve whose slope…

Q: Find the length of the curve y = In (1 – 2*) over the interval [-,].

A:

Q: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

A:

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: Find the points on the curve y = 2x3 - 3x2 - 12x + 20 where the tangent line is parallel to the…

A: Given: y = 2x3-3x2-12x+20 Tangent line is parallel to x - axis. To find: The points on the given…

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: 4) Find a formula for the line tangent to the curve at the point (4,4).

A:

Q: At what point is the tangent line to the curve y = 2x perpendicular to the line x – - 2y – 8 = 0? -…

A:

Q: Given that the graph of f(x) passes through the point (8,10) and that the slope of its tangent line…

A:

Q: x4 C: y=-+ 3 x3 17 4 12

A:

Q: Given that the graph of f(x) passes through the point (8,9) and that the slope of its tangent line…

A: Given the slope of the tangent line of graph of y=f(x) at (x,f(x)) is 6x + 2, so dydx=6x+2 Now solve…

Q: Find the slope of the tangent to Ax) = x²e* at the point (1, e). a) e b) 1 c) 3e d) 2 + e

A:

Q: A tangent line to the curve c(t) - (- 4t - 5t + 2, t - 15t - 1) has slope 3 at the pointias) 2-1…

A:

Q: (a) Find the equation of the tangent plane to the graph of : = (1,-1,5). + ) +4 at

A:

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

A: To find the x-intercept we plug y=0

Q: Given that the graph of f(x) passes through the point (5,10) and that the slope of its tangent line…

A: The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at (x,f(x))…

Q: Find the condition that the line ax+by=1 may be normal to the curve an-1y

A: Given problem is : Find the condition that the line ax+by=1 may be normal to the curve an-1y=xn…

Q: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

A: Let y=f(x) is the curve. The curve passes through (7, 6) and slope of tangent at (x, y) is 4x+5.…