Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) | 6ry ds C: r(t) = ti + (3 - t)j 0sts3

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

A:

Q: Which of the following pair of functions linearly independent

A:

Q: Evaluate xy dx + (x+ y)dy along the.curve y = 4x from (- 3,36) to (- 2,16). C xy dx + (x + y)dy =] C…

A:

Q: Integrate the following. 3. f sec?x dx tanx

A:

Q: d Compute [(* + 2x)} ] a x= -1. dx

A: ddxx5+2x2=2x5+2x5x4+2

Q: Write the ODE as an equation of differentials. It should be exact. Find an integral F. Plot at least…

A: Given differential equation is…

Q: Integrate the function. dt 4-R 412 V4 -2 4t sin1 4t + C 4t - + C

A: Consider the given integral: ∫1t24-t2dt Here, the objective is to evaluate the given indefinite…

Q: b.) If r(x)= 1 √g(2x) > find r'(x) at x = 2

A: Topic = Derivative

Q: Suppose y is a function of x. Find dy/dx. B only.

A: When there is variable in the base and in the power of a function, we follow the logarithmic…

Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

Q: B. Find y. 2. y = x tan- x – In vx² + 1

A: Given that     y = x tan-1x - ln√(x2+1) Here we have to find y(4) .

Q: Find ∂z/∂t if z = sin(5x3-3y2), x = 2s2+t2, y = 2st3. Write in terms of the two independent…

A:

Q: Find dY for the function y= cos² 3X+ VSin x dx

A:

Q: sin 2ydy 5.J7-3 cos 2y 15.

A:

Q: d²y if x = 21? - 3 & y = 3 – 1*. dx Using parametric differentiation, find

A: dy/dx=(dy/dt)/(dx/dt)