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Q: siny dy 2. 3 |- cosy

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Q: S Jiet'. dt Hint: use +he fundam ental theorom Find dy if dx y = of Calculus

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Q: What happens in Newton’s Method if your initial guess happens to be a local min or max of f ?

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Q: Kim throws a ball against a wall at time t = 0. At time t = 1, it hits the wall and then at time t =…

A: The objective here is to check whether Mean Value Theorem can be applied to show that at some point…

Q: Prove the formula.

A: Given a function Arc Sine Hyperbolic (t). We need to find the derivative of the function. Let's…

Q: 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not…

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Q: 6. Encuentre la solución general de la siguiente ecuación diferencial dy 2.ry(y – 1) dx 3(1 + a)

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Q: Stoke's theorem

A: We have to verify the Stoke's theorem for the given vector field. It is given that

Q: Directon. tanx 6. Oy= (sinx) Fan a ANS: AN

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Q: 2. A particle moves along the parabola y = x in the first quadrant in such a way that its…

A: Given: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x -…

Q: 2. An object weighng 200 lbs falls freely until it reaches a terminal velocity of 175 Asec. A'ssume…

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Q: tion of all components of v(3) correct to two decimal places.

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Q: et secydx + sinydy = 0

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Q: a) Differentiate f(x) = sin x from first principtes. %3D

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Q: 1. S(2cos4y – 1)i - sin4ydy

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: d arctan (tanh x) dx Show that sech 2.x.

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Q: soluti ly +y Ix

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Q: Integrate fx cos(4x) dx fa

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Q: Define Testing for cointegration when θ is unknown ?

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Q: 5) What is the maximum value of y = 5 Cos 4x ?

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Q: sinh (u+v)=sinhycoshr+ coshuxsinhv

A: Use hyperbolic function

Q: | 25. a. Find a curve with a positive derivative through the point (1, 1) whose length integral…

A: a) Find the curve-

Q: A particle moves along the x-axis with velocity dx/dt = ƒ(x). Show that the particle’s acceleration…

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Q: Sec-S 2 1 TanOLO

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Q: sin(6y) sin(8y) dy.

A: Topic - integration

Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: ) A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

A: Given that radius of a Cylinder tank is 4 meters and Height of tank is 10 meters. A hole is at the…

Q: 3. A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35°…

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Q: This is exercise 12 of Section 7.5 page 460. Find the integral sin(2x) dx +C 1+ sin (x)

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Q: Apply Gauss's theorem to evaluate. A

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Q: Bring out the importance of Frii's formula.

A: Answer: For the given data

Q: Two identical sinusoidal waves with wavelengths of 6.00 m travel in the same direction at a speed of…

A: Calculate the time period T. λ=6m and v=2m/secv=fλv=1T×λT=λv=62=3Hence,T=4sec

Q: ue of J. Note that the lows

A: Given ∇.V=1r2∂∂rr2vr+1rsinθ∂θ∂∂θsinθvθ+1rsinθ∂vϕ∂ϕ

Q: Number 8

A: first find the derivative.

Q: Suppose a particle has velocity given by v(t) = sin(t). What is the net displacement of the particle…

A: GIVEN DATA : Velocity of  the particle v(t)=sin(t)        TO FIND : Displace of the particle on 0,…

Q: Briefly discuss the origin/history of De Moivre's Theorem.

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Q: Prove that cosh(x±y) = cosh x cosh y± sinh x sinh y.

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Q: This is exercise 26 of Section 7.5 page 460. Find the integral æ* sin(æ²) dx-

A: Answer is given in the picture

Q: Explain why Newton's method fails when applied to the equation Vx = 0 with any initial approximation…

A: y = x(1/3)

Q: Differentiate: arctan(cosh(x)) Show all working out.

A: to find the derivative of arctan(cosh(x)) proceed as follows we know that ddxtanx=11+x2  apply chain…

Q: dt What is the linearization of h(x)= 6+ at x=1? cos (1 -1)

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Q: Can you explain a definition of Thales' theory and give me some examples?

A: The Thales theorem states that :The diameter of a circle always subtends a right angle to any point…

Q: (a) If f(x.y) = e siny - e sinx then verify that fry fyz- %3D

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Q: 2olue dy %3D

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Q: 2 = sin5t constitute a fundamenta L

A: Y1=cos5t and y2=sin5t  do not a fundamental set of solutions of differential equations y"+16y=0

Q: Exercises ESet 27 Implicit Diffexentia tion 2 1. Find dy if dX +Sinxy Find dy if 2x' 3y8 -2- dx2

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Q: Consider that two students (Student A and Student B) are working on a joint project. Each student…

A: Effort Level is given by ei=0,1,2 for i=A,B Denote Emin.=min.eA,eB   Grading Scale is given by :…

Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form

Q: ENRI Green's theorem to

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: