dy Find at the origin on the curve: - dx x² + y + x + 3y 0

Q: d'y & dx Find d'x to the : dy *yーy=7 %3D7

A: We have the expression x2y2-y=7. Differentiating both sides of this equation with respect to x, we…

Q: If y = Vx(3 – x)², show that- dy (3-х) (3-4x) Find the x coordinates of %3D dx all points on y =…

A:

Q: dy Find for the curve: x dx :4 cos t, y = 16 sin t, 0<t < 2T

A: We have to find dy/dx for the given function

Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t). dz 4cos4t…

A:

Q: On what interval is the curve t2 X. dt y% = Jo t2 + t +2 concave downward?

A:

Q: dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

A:

Q: dy Find dx for the curve: x = t, y= 2/t, t>0

A:

Q: Find dy/dx and d^2y/dx^2 X=t-e^t, y= t+e^-t For which values of t. Is the curve concave upward?

A: Given that, x=t-e^t, y= t+e^-t

Q: A point is moving along the graph of the function y= such that dx/dt = 4 centimeters per second.…

A: derivative

Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…

A: given ∫C2y+4zdx+2x+3zdy+4x+3ydz where C is the curve given by rt=t3,2sinπt2,3cosπt2 for 0≤t≤1…

Q: Differentiate the function. y -Vetoo y%3D dy dx

A: Given :   y = 7√( ex + 6 )

Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward?

A: x = t2 + 1 y = et - 1 dy/dx = dy/dt ÷ dx/dt

Q: find both dy/dx (treating y as a differentiablefunction of x) and dx/dy (treating x as a…

A: Differentiating with respect to x, we get

Q: dy What type of curve does the solution to the DE dx = -1, y(0) = 1 represent? Select one: O line O…

A:

Q: Consider the curve defined by xy + y2 = 21 Determine dy/dx for this curve at the point (4, 3)

A:

Q: Find dy/dx and d²y/dx² at t = 2 for the parametric curve x = ½t², y = ⅓t ³.

A:

Q: Evaluate Iz = y", 2ry ) · d7 where C3 is the arc of the curve x = 3 – 2y that extends from (7, –2)…

A: we have to evaluate the following

Q: Fx to find Fy dy Assuming - 3x° + 6y + 3xy = 0 defines y as a differentiable function of x, use the…

A: The equation is  -3x2+6y2+3xy=0

Q: the detined b is Constant. Curiature a(t) =| 1 Cost, 1 sint, o of the curve d:laa)tR? where Find

A: We are given : α(t)=1rcos t,1rsin t,0 ⇒α'(t)=-1rsin t,1rcos t,0 Now, the Unit tangent Vector is :…

Q: dy Find for the curve 49 + 6x° = 3 + sin(7x-y). da

A:

Q: dy (5) Obtain the integral curve for +y cotx dx = e*cscx passing through the point (0, 0).

A:

Q: Find the arclength of the curve y = (x² − 4)² on [2,4].

A:

Q: 1. y = 2t2 – 7t3, x = 9t – t5

A: dy/dx and d2y/dx2  are find in next step dy/dx = (dy/dt) /(dx/dt)

Q: Evaluate y dx + x dy along the curve y x² from (0,0) to (1, 1).

A:

Q: Consider the curve x³y²-5x²=(y²-x²)²+y³ Find: dy/dx d²y/dx² the tangent line at (2,3)

A: Given curve: x3y2-5x2=y2-x22+y3 To find: dydx d2ydx2 The tangent line at (2,3) Required formulas:…

Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: Find 4 and 4y axz dx y=te* dy- -(t-1)et y t is Fov which values the curve con cave upwavd. U BRANDS

A:

Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

A:

Q: dy 14ya® dx such that y(0) = 6. y(x) =

A:

Q: For the curve y = f(x) = x², 0 ≤ x ≤ 2, its length is 2 L = 1+ dy dx dx =

A: Given curve y=f(x)=x2,0≤x≤2 The objective is to find the length of the curve.

Q: dy for the curve x = yª. dx Find

A: First take log both sides than use lograthim derivative.

Q: On what interval is the curve y = 0, v- [ t2 dt t2 +t + 2 concave downward?

A: NOTE: Refresh your page if you can't see any equations. . to find the inflection point, first, we…

Q: dy Find at t = T/4 for the parametric 2 sin(t), y = 3 cos(2t). curve x = dx2

A:

Q: dy at f= is (not that these functions in N) dx a) -1 b) 0 c) d) I e) others Q5: If y=tant and x =…

A:

Q: Differentiate parametrically to find X 1 t-1 y=t³+2 dy dx in terms of t:

A:

Q: Compute xe" dx + x?y dy along the curve x 3t, y = t2, 0 < t < 1.

A:

Q: dy in terms of t: Differentiate parametrically to find dx 1 y = +2 t+1

A:

Q: d'y Find for the curve given by x= sin 2t and y = cos 2t. %3D %3D (a) 8 sec (2t) tan(2t) (b) -8sec…

A:

Q: . Find SF dř where F(x,y,z) = (3y?e*, 6ye* -, 1+) and C is the curve F(t) = (sin t, ,2-) for 0 stsn.

A:

Q: Find the lenght of the curve y = x- tnx, 1+/dy 2. dx %3D %3D

A:

Q: A curve is given by parametric equations x = t – 2 cost and y = t+2 sin t. dy and d?y in terms of t.…

A: The given parametric equations  x = t - 2cost ..... (1) y = t + 2sint......(2) To find  dydx,d2ydx2

Q: use implicit differentation to find dy/dx and d2y/dx2 at the point (1,0) for the given function…

A:

Q: Use differentiation rules to find y' = dy/dx.

A:

Q: ind the equation of the tangent line to right branch of the hyperbola == sec t, y= tant, 2 - sts at…

A: Topic:- application of derivatives

Q: dy Assuming - 9x³ - 2y - 7xy = 0 defines y as a differentiable function of x, use the theorem Fx to…

A:

Q: dy Differentiate parametrically to find dx in terms of t: %3t2, y3 6t

A:

Q: dy find 3 - x x - 2 1) If y = t + 2t , t = %3D %3D dx

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

Q: dy if x = 11ellt, y = 3e22t. dx Using the parametric differentiation find

A: