S VF-1 The arc length of the curve y(x) ² – 1 dt for x E [1,9] is

Q: H.W3:- Estimate y(0.2) ,using Euler method with step size h=0.1 where y':= -y?cosx „y(0)=1

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Q: 4) Consider the curve given by: cos(xy) = x(y – 7) – 1 a) dy Find y' xp dy dx b) Find an equation of…

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Q: 2: Evaluate [G(x, y)dx, [G(x,y)dy and [G(x, y)ds on the indicated curve C. G(x, y) = x³y² + y² sin…

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Q: 1. Find the function y(t) satisfying y' = ev-t(1+t?) sec y with y(0) = 0.

A: Claim: solution for with y(0)=0. Integrating both sides we get, Take u=e-y then du=-e-y  and…

Q: if y= e-e-X dy %3D Show that %3D e* te*

A: We have to prove this equation

Q: dz at (и, v) — (1,1) if du Use chain rule to find || a(w² - z + 1)-), : x = 3u – v, y = u°. 2 = x…

A: According to chain rule of differentiation . According to power rule of differentiation .

Q: 1 Let y = -. Find dy and Ay at x = 7 with dx = Ax = – 1. Enter the exact answers. dy = Ay =

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Q: Find the length of the curve y = In sin x from t = -2 to t = 0.

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Q: dy at t= T is dx If x=t+sin 2t , y = 3t – cos 2t, then O a. -1 O b. 1 O C. -2 O d. 2

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Q: Let y=(x^2+2)^3 Find the differential dy when x=2 and dx=0.5  Find the differential dy when x=2…

A: Given:

Q: An object is moving along a path defined by the graph  x^2+y^2=18 Compute  dy/dy, if dx/dt=-2,…

A: According to the question:

Q: 15. Suppose you start at the point (0, 0, 3) and move 5 units along the curve x = 3 sin t, y = 4t, z…

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Q: - Sva cos 2t dt from x= 0 to x= Find the length of the curve y =

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Q: If x =t-1+5 and y 6+t-2 then dy at t = dx is

A: topic - derivatives answer is 4

Q: Let w = x2e2y cos 3z. Find the value of dw/ dt at the point (1, ln 2, 0) on the curve x = cos t, y =…

A: Given: w=x2e2ycos3z x=cost y=lnt+2 Putting x, y and z in w, we get…

Q: Let w = x^2e^2y cos 3z. Find the value of dw/ dt at the point (1, ln 2, 0) on the curve x = cos t, y…

A: Given  By chain rule of differentiation , we have

Q: HW 0 1f y=tanx show thats y" = -2Siny Cosy %3D

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Q: A particle was following the trajectory r(t) = (e', sin (2t), t), but it starts flying tangentially…

A: SolutionGivenA particle was following the trajectory r(t)= (et,sin(2t),t) , but it starts flying…

Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

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Q: 16. t 31²y = cos t, y(T) = 0 dt

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Q: Let y = (x² + 2)4. Find the differential dy when x = 1 and dx = 0.1 Find the differential dy when x…

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Q: 1 Let y = -. Find dy and Ay at x = 8 with dx = Ax = –1. х Enter the exact answers. dy = Ay =

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Q: 3y" (t) – / (t) = e' cos(t) + sin(t), y(0) = 0, y'(0) = 0 -

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Q: I need help with 1a)

A: straight line becomes y=x

Q: dz at t = dt if z = f(x, y) = x² – 3xy+ 2y², x = x(t) = 3 sin 2t, y = y(t) = 4 cos 2t. Use chain…

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Q: (b) Use a graphing utility to find dx/dt, dy/dt, and dy/dx at the given value of the parameter. dx…

A: Follow next step

Q: Q2// B :- If u+v3e"cos y and u- v=e' sin y find the Jacobain of the function alu,v at dx.yl (x.y)…

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Q.1. Use the differential dy to approximate Ay when y=V3x-2 and x changes from 2 to 2.03

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Q: If f'(x)=/cosec*.x-1 then what is the arclength of the curve y= f (x) on 3 2 B) 3 D) 3 E) V3-1 A) 1…

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Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: Q4) Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: B) Find the distance traveled by the particle P (x.y) between t = 0 and t 4 if the position at time…

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Q: 8. Find the length of the curve defined by x = cos(2t), y = sin(2t) from t = 0 to t = n.

A: If x = f(t), y = g(t) in (a, b) then length of the curve is,

Q: Q.1. Use the differential dy to approximate ay when y=3x-2 and x changes from 2 to 2.03

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Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx+ x?dy by the curve y = x and y = x2.

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Q: Use the method of Example 4 to compute dy/dx p at P = (2, 1) on the curve y^2x^3 + y3^x^4 −…

A: we can solve by this implicit differentiation, so,

Q: dv dv 5. Use the Chain Rule to find and ds v = ln (2.x + 3y), where x = s sin t, y =t cos s %3D

A: Here, Givenv=ln(2x+3y)∂v∂x=22x+3y∂v∂y=32x+3yAlso, x=s sin(t)∂x∂s=sin(t)∂x∂t=s cos(t)y=t…

Q: 1. If F(x, y) = (3+2xy)i + (x² – 3y²)j. Evaluate F. dr, where C is the curve given by r(t) = e'…

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Q: (b) Use a graphing utility to find dx/dt, dy/dt, and dy/dx at the parameter t 6. dt TO -/-

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Q: (2² + y² – 1)³ – x²y3 = 0, 2- Given the curve dy find dx -2 2

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Q: | (2x - y) dx + (x + 3y) dy. Evaluate C: arc on y = x5/2 from (0, 0) to (4, 32)

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Q: 7. DETAILS LARCALC11 15.2.062. Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x312 from (0, 0) to…

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Q: 1. Find the function y(t) satisfying y' = ey-t(1 +t²) sec y with y(0) = 0.

A: Given: The differential equation y'=ey-t (1+t2) sec y, y(0)=0.

Q: If x = 3 sin* t and y = 2 cos" t , then find dy at t = dx 4

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Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

Q: 4 cos x Let y = [, (2t + 1) (t + 8t)'/3 dt. Find dy/dx.

A: We will find out the required derivative for given function.

Q: 1. Find the function y(t) satisfying y' = e-t(1+t?) secy with y(0) = 0.

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Q: Let y = -. Find dy and Ay at x = 9 with dx = Ax = - 1. Enter the exact answers. dy = Ay =

A: Solve by using differentiation