3) An object moves along a coordinate line. Its position S (in meters) from the origin at any time t (in seconds) is given by S(t) = –2t2 + 2t – 5. Find the position of the object when its velocity is -2 m/sec.

Q: 18. Find the denvative or the runction y = 2x - 13x + 5 and use it to find an equation of the line…

A:

Q: 2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3 v' + v = g. t+ro If…

A:

Q: 2. Find the tangent lines to the curve y = x4 – 14x2 + 17x + 40 perpendicular to the line x = 7y +…

A: Given, y=x4-14x2+17x+40 Now differentiate with respect to x we get, dydx=4x3-28x+17 The tangent is…

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A:

Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

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Q: 6. Find the equation of the tangent line to x² + 3xy + y² = 5 at the point (1, –4).

A: Given x2+3xy+y2=5       (1,-4)

Q: 3. Find the equation of the tangent line to the curve x2 – 2x In y + 3y2 = 3e2 - 1 in the point (1,…

A:

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: 3. Find the equation of the tangent line to the curve y = x2 - 3x + 4 that perpendicular to the line…

A: we have to find the equation of the tangent line to the curve y=x2-3x+4 that is perpendicular to the…

Q: The equation of tangent line to the graph of 8x²+16y²=48 at (2,1) is A x- y - 3=0 x- y+3=0 c none of…

A: Slope of tangent line is y'

Q: 2. Find the equation of the line tangent to x* – 3xy+ y³ = 1 when x = 0.

A:

Q: 2. Find the equation of the tangent line to the curve y = x2 - 2x -3 that is parallel to the line x…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: Find an equation for the line tangent to given curve y = -10z2-3 4r+1 3 at x = 0-

A:

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: #1 Find the equation of the tangent line to y:R @ x- -4 Provide answer in point-slope form dy %3D

A: Differentiate at given point then use equation of line

Q: 7. Find an equation of the tangent line to the curve y = 1 y = 1+3r IVI that is parallel to

A: The objective is to find the equation of tangent line.

Q: A particle moves along the x-axis with its position measured relative to the origin and has an…

A: To find: The velocity and position after t=1 second: Given: The acceleration of the body is at=6t+4…

Q: *4. Find the equation of the tangent line to r² – 3ry + y² = -1 at (2,1).

A: Equation of tangent at a point

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: 4. Find the equation to the tangent line to the curve -3 %3D at the point (x, y) = (1,2).

A:

Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

A:

Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4

A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.

Q: 6. Find the equation of the tangent line to the parabola y 2.x2 – x + 3 at x = 2. %3D -

A: Equation of given parabola is, y = 2x2 - x + 3

Q: A particle is moving along the x-axis so that at any time t > 0, its acceleration is given by the…

A: The acceleration of a particle is the rate of changing of velocity at time. When the velocity…

Q: A particle is moving along a straight line so that v ft/sec is the velocity of the particle at t…

A: Given v=t+3t2+3t+2. The objective is to find the distance traveled by the particle from the time…

Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х…

A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one…

Q: 1. Given the equation of tangent to the curve y = x³ - x² – 7x + 10 at the point (a, b) is y = 5x +…

A: We know that the equation of the straight line that passes through the point (x0, y0) with finite…

Q: A rocket accelerates by burning its on-board fuel, so its mass decreases with time. Suppose the…

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

Q: 2xy - y² + x = 2 at the point (1,2). - Find the equation of the tangent line to ² +2

A: By using equation of tangent line formula, we find the required tangent line.

Q: 2. Find the equation of the line tangent to x³ – 3xy + y = 1 when x

A: Given:               x3-3xy+y3=1,     x=0 at x = 0               0-30y+y3=1y3=1y=1 The slope of the…

Q: 3. Find the equation of the tangent line to (x*+ y°)* +50xy = 0 at the point (2,-4).

A:

Q: (2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3() v' +. -v = g. |t…

A: Given equation is in variable separable form so we need to separate v and t and then integrate it…

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

A:

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: 4x Find the equation of the line tangent to y = e at x =- In 5.

A: Problem related to application of derivative

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

A:

Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

A:

Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

A:

Q: find the equation of the line tangent to the curve y2+ exy=4 at point (0,2)

A:

Q: 4. Find the slope of the line tangent to the graph of the equation -ey +y° = 7+ 2x at the point…

A: Given query is to find the slope of the tangent at given point.