I think this question (included in the image) is looking for a derivative of sorts

Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: The temperature T= T(x,y) in °C at point (x,y) satisfies Ty(1,3) = 5 and Ty(1,3) = - 7. If x = e…
A: Click to see the answer
Q: The temperature T = T(x, y) in °C at point (x, y) satisfies Tx(1, 2) = 3 and Ty(1, 2) = -1. If x =…
A: We find x and y at t=1 And dx/dt and dy/dt at t=1
Q: # 5) If y = x³ + 2x and dx/dt = 5, find dy/dt when x = 2. # 9) If a snowball melts so that its…
A: Click to see the answer
Q: The temperature T=Txiy) Satisfies Tx Ll7) =2 and Ty (1,7) = -5. in °C at point X,y) If x= e4t-4 cm…
A: Click to see the answer
Q: Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4 and dæ = 0.4
A: Click to see the answer
Q: Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3 and dx 0.3 %3D
A: Click to see the answer
Q: At any time t, the velocity of a particle moving along the y-axis is given by v(t)= 4t - t^2. The…
A: Click to see the answer
Q: Find the change in y, Ay when x 1 and Ax = 0.1 Find the differential dy when x = 1 and dx 0.1
A: Let y=5x^3
Q: Q.1 Suppose that w = x sin yz2 ; x = cost, y = t² , z = et Find the rate of change of w with respect…
A: Click to see the answer
Q: Suppose that the temperature in a given region is given by T (x, y) = 200xy (1 – x² – 2y²). Suppose…
A: Here we will directional derivative Directional derivative of a multivariable function along a…
Q: Let y=(x2+4)to the 4th power. Find the differential dy when x=3 and dx=0.3.... Find the…
A: Click to see the answer
Q: Find the differential of the function f(x, y) = 8x/y at the point (2, 3) using Ax = 0 and Ay = -…
A: Click to see the answer
Q: The velocity of a particle moving back and forth on a line isy = ds/dt = 6 sin 2t m/sec for all t.…
A: Click to see the answer
Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 2 and dt dx…
A: Compute the value of y as follows.Substitute x = 2 in x3 + y3 = 16.
Q: A car moves along a line at time, t, where it’s position is s(t) = 5sin(6t). Determine the velocity…
A: Click to see the answer
Q: R(t) = In(1+t) + cos(t + /t Fluid leaks out of a bottle at a rate of milliliters per minute, wheret…
A: Click to see the answer
Q: Let y tan(3x + 2). Round all answers below to 5 decimal places. Find the differential dy when x = 2…
A: Click to see the answer
Q: 6. Suppose that w = x cos(yz²), where x = sin t, y = t² and z = 2e'. Find the rate of change of w…
A: Using derivative
Q: A particle is moving along a horizontal line. The velocity (in cm/s) of the particle after t seconds…
A: Here, the given particle has the velocity v(t)=tanh t+tanh2t-1, t≥0
Q: 4) For the function p = x2y+ yz at the point (1,2,-1), find its rate of change with distance in the…
A: Given data: Function:
Q: The velocity is equal to the rate of change of distance x (m), dx v(t) dt (1.1) a. Substitute Eq.…
A: After substituting Eq. (1.2) to Eq. (1.1), we have dxdt=gmc1−e−cmt
Q: Find the differential dy when x = 1 and dx = 0.2 Find the differential dy when x = 1 and dæ = 0.4
A: Answer
Q: The velocity function (in meters per second) for a particle moving along a line is v (t) = 8t – 8.…
A: Click to see the answer
Q: Can you help me step by step?
A: Differentiating the given equation:
Q: 3. A point moves along the straight line x + 3y = 6. Find the rate of change of the y-coordinate,…
A: Use the first order derivative then simplify after substitution of given values.
Q: The velocity in m>s of an object moving alonga line over the time interval [0, 6] is v(t) = t2 +…
A: Click to see the answer
Q: Find the differential of the function f(x, y) = - 2x2 + xy + 4y² at the point (7, 2) using - 0.2 and…
A: Click to see the answer
Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?
A: Click to see the answer
Q: A car moves in a straight line. At time t (measured in seconds), its position (measured in meters)…
A: Click to see the answer
Q: Find the differential of the function f(x, y) Ay = 0.05 . - 8x y at the point (4, 5) using Ar = -…
A: Given; The given differential function fx,y=-8xy at the point (4,5) using ∆x=-0.3 and ∆y=0.05
Q: Q1] Find the derivative of f(x, y) = x2e-2y at po (1,2) in the direction of v =i+j. In what…
A: Given thatf(x,y)=x2e-2yP0(1,2) be a pointv=i+j
Q: Find the differential dy when x = 2 and dx = 0.1 Find the differential dy when x = 2 and dæ = 0.2
A: ddxtanx =sec2x ddxxn=nxn-1
Q: Let y = tan(5x + 3). Find the differential dy when a = 3 and dæ = 0.4 Round to 4 decimal places if…
A: For calculating dy, first we have to differentiate y w.r.t x, then find dy from that expression. The…
Q: A particle moves along a line with velocity function v(t) =t2 -t, where is measured in meters per…
A: Given: vt=t2-t,where velocity is in meter per second we have to calculate displacement and distance…
Q: - If a particle's position at a time t is given by f (t) = t³ + 1, i. Find its average velocity over…
A: f(t) = t3 + 1 i. Average velocity over the interval [-1,1] is given as
Q: The position of a particle at time t is s(t) = 4t^3. compute the average velocity over the time…
A: Click to see the answer
Q: The temperature T at (x,y,z) is given by T= 4x^2-y^2+16z^2. Find the rate of change of T at…
A: Click to see the answer
Q: The position of a particle at time t is s(t) = 4t^3. Compute the average velocity over the time…
A: Click to see the answer
Q: The position of a particle at time t is s(t) = 4t^3. Compute the average velocity over the time…
A: Click to see the answer
Q: The position of a particle at time t is s(t) = 4t^3. compute the average velocity over the time…
A: Click to see the answer
Q: A particle moves along the x-axis with velocity given by v(t) = 6t² + 1 for time t > 0. If the…
A: Click to see the answer
Q: Let y = tan(4r + 8). Find the differential dy when a = 3 and dæ = 0.1 Find the differential dy when…
A: Click to see the answer
Q: Find the differential dy for y = xV1-x. Do not simplify your answer.
A: Click to see the answer
Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…
A: Given: The velocity function (in meters per second) for a particle moving along a line, vt=5t-8,…
Q: Q.4 Find the increment and differential of the function f = e" sin(y-z); x = y = z = 0, dx = 0 –…
A: Solution 4: Given function is f(x,y,z)=exsin(y-z) (1) Let the increment in f is ∆f. So…
Q: Let y = (x² + 3)4. Find the differential dy when a = 3 and dæ = 0.5 Find the differential dy when a…
A: Click to see the answer
Q: A particle is moving with acceleration a(t) = 6t + 10. its position at time t = 0 is s(0) 17 and its…
A: Click to see the answer
Q: A particle is moving with acceleration a(t) = 6t + 10. its position at time t = 0 is s(0) = 17 and…
A: Click to see the answer
Q: 6- The dimension of a solid rectangular at given instant ( to ) are (L = 13 cm) ,(W = 9 cm ) and ( H…
A: Click to see the answer
Q: An observer moves so that his position, velocity, and acceleration at time t are given by the…
A: Given:r(t)=x(t)i+y(t)j+z(t)kv(t)=dr/dta(t)=dv/dt