Two objects moving along x-axis are starting at the same time. Their positions are measured in centimeters at time t in seconds. If the equation of motion of objects 1 and 2 are s.=212– 31 and s,=3t – t2 respectively, determine the distance between the objects at the instant when they have the same velocity. 2 cm O 3 cm O 1 cm 4 cm

Q: If dy = dz, what is the equation of y in terms of x if the curve passes through (1, 1)? General…

A:

Q: An object is moving along a horizontal path with its position modeled by the equation (t) =t³ – 2t2…

A: Given: xt=t3-2t2-3t for finding position at t=1, we put t=1 in given position expression so,…

Q: The acceleration of a moving particle at any time t is given by expression 6t – 24. Find the…

A: given acceleration a(t)=6t-24

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A:

Q: A. Find the family of solutions of the following equation using linear differentic equations. 1. y'…

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Differentiating with respect to x, we get

Q: Find the equation of the family of curves whose at any point (X, Y) is 1. 3x? + 4 2. * y X+1 3. y-1…

A: Here, there is a little word missing in sentence, 'Find the equation of family of curves whose slope…

Q: If the position of a particle at a time t is given by the equation x(t)=t^3-11t^2+24t , find the…

A: If the position of a particle at a time t is given by the equation x(t)=t3-11t2+24t We have to find…

Q: Sadako is crawling out of the television while a scared stationary 5-foot-tall man is watching while…

A:

Q: FEMD THE EQUATION OF TAMGET LEHE to x5 Vt AMD Y= t AT t= 1 VE

A:

Q: The velocity of a particle moving in space is v(t) = i + tj + t²k, find the coordinates of the…

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: for the exact equation of the form M(x,y)dx + N(x,v)dy = 0 Select one: O a. My- Nx b. NOTA C. My- Ny

A: Consider the differential equation of the form  Mdx + Ndy = 0

Q: dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: Solve for the general solution of the following equations: dy _Y = y е. dx

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: 6. Find the equation of the motion. 12 and s=3, v=1, when t=2 t4 Given: a ==

A: Given: a=12t4  ……1   Also, At t=2:v=1……2At t=2:s=3……3

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5? a = b…

A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis. OA 1 y=…

A: Given set is equidistance from (3,10) and the x-axis

Q: Solve for linear but not homogenous equation and find the general solution of each of the following:…

A:

Q: Write the equation of the line tangent to the curve x In y+7xy = 28 at the point (4, 1). 32 y-7x 60…

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: x+ y = 0 3x- 2y 10 ch of the following ordered pairs (x, y) ystem of equations above?

A: From the given data: x+y=0 3x-2y=10

Q: Suppose that the position of a particle moving along a straight line is given by .2 s(t) = at + bt…

A: The objective of the question is determine the position of the particle S(t) with the help of given…

Q: The position of a bird flying on a straight line is given by s(1) = 3 - 21 +1, where s is in meters…

A:

Q: Solve for this equation, show your solution for the exact DE. (Non-anonymous question) 3x(xy - 2)dx…

A:

Q: The equation of motion of a particle moving in a plane are x = t², y = 3t - 1 when t is the time and…

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: To find the distance between objects.

Q: An object moving vertically is at the given heights at the specified times. Find the position…

A:

Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A:

Q: The position of a particle is given by the equation $ (1) = 4 t 3 – 21² + t – 1 where s is in feet…

A:

Q: 2(m+1)x2 + 4mxy + (m+2)y2 + 2x - 2y = 0 Investigate which curve the equation shows according to the…

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: Given  s1= 2t2-3t             s2=3t-t2

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: The number of cars produced when dollars is spent on labor and y dollars is spent.on.capital…

A: Find your answer below

Q: Find a solution to dy da ry 3x + 2y + 6 If necessary, use k to denote an arbitrary constant. help…

A:

Q: Solve for the DE equation associated by the given function: a. y = Ae2x + Be* + C. b. y = Ce3* +…

A: First we will find the roots of the Auxiliary equation corresponding to the differential equation…

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: 1. Find the Cartesian equation of the curve represented by x = 4t + 3 and y 16t - 9, -0 <t<o.

A: Try to eliminate 't' to establish relation between x and y.

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: Distance

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 4? a = b…

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: We need to choose correct option.

Q: The equation of the tangent to the curve y = x4 – 4x3 + 2x? – 4x + 15 that is perpendicular to the…

A: topic - equation of tangent line to curve

Q: Given the curve y= x^3 - 4x + 1 . Find the equation of the line perpendicular to that curve at…

A:

Q: (1 + x)dy – ydx = 0 %3D

A: