Question 1 The equation of a curve is given by 2x2 + y2 3xy +35. (a) Find in terms of x and y. Hence, find the equation of tangent to the curve at the dx point (2, –3). d²y (b) Show that (2y – 3x): dy (dy + 2 ( - 3) + 4 = 0. dx \dx dx2

Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

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Q: dx dy -2xcsc 2y - 2x³ cos 2y sec 2y x² = sin 4y + (4y + C)2y

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Q: Activity 3: 1. ſx²dx 2. SVx?dx 3. S(x³+x²)dx 4. SVx*dx 5. fx-2dx 6. S tan?x dx 7. S(1 – cos u)du 8.…

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Q: Gamma -3t e SE dt

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Q: Find dy/dx of y=sec-x -x+csc-lx. dy/dx is Blank 1. Blank 1 Add your answer

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Q: 1. 2. (D² -3D+2)y=sine-*

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Q: Question # 1: (a) If = y+ 3 and y(0)=2, then find y(ln2) (b) Evaluate f 1 dx (sinx+cosx)2

A: Explanation of the solution is given below....

Q: Find an equation of the line tangent to the graph of the equation 7xy−3x−17=0 at the point where…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Question 16 dy Find dx of 2/x + Vỹ = 1. (A y - 2 Vxy B 2 y 2 x y

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Q: Question 3 Given: Using u-substitution and transformation of integrand, what is u and du? dx. 3Vx-2r…

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Q: dy =-2x tan y, 1- y(0) = 1/2. dx 2- 2 ydx CSOS 3- e*dx-ydy 0, y(0) = 1

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Q: Question 25 Find dy/dx if y = 52x-1 A 52x-1 In 5 52x-1 In 25 C) 52x-1 In 10 52x-1 In 2

A: The given function y=52x-1

Q: Question dy Using implicit differentiation, find dx 3 cos (2x) sin (3y²) = 1 – 5x Provide your…

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Q: Can you help me with this problem step by step?

A: To determine the first and second order implicit derivative of the equation.

Q: Question 4 Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

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Q: Bernoulli's Equation 1. dy +? dx = 3x²y² dx

A: "As per our policy we can answer only first question, so please repost the other question as next…

Q: (cos2y — 3x*у-)dx + (cos2y — 2хsin2y — 2x3у)dy — 0

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Q: Question (1): Let f(x) = 2x* –- 3x³ + 5x + 1. Find the value of at x = 1. dx

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Q: dy/dx=-2x(tany

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Q: Question 1 Given: xy = tan(a - y). Find dx/dy. %3D tan (z-y) sec (r-y)- " +tan? (-y) sec" (7-y) O dr…

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Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following…

Q: iii- y +y tan .* sin 2x, y(0) = 1. (Bernoulli Equation) %3D

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Q: Question 1 The equation of a curve is given by 2x2 + y2 = 3xy + 35. (a) Find dx dy in terms of x and…

A: Consider the following equation of a curve: 2x2+y2=3xy+35 Differentiate above equation with respect…

Q: Question 25 dy The general solution of the DE dx cos²y is %3D A y= cos(x) + C

A: Given:- dy/dx= cos2(y)  To find:- General solution of given differential equation

Q: Examples: Find dy and d²y dx dx2° 3. x = cos30, y = sin30

A: x=cos3θ, y=sin3θ Differentiate w.r t θ dxdθ=-3cos2θ.sinθ ......................(1) dydθ=3sin2θ.cosθ…

Q: ю 2ах—х e la dx Use gamma or beta laws

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Q: 22. (-5) dx dy

A: Given: ∫-4-1 ∫48 (-5) dx dy To find: Value of the integral.

Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

Q: 2ах — х e la dx Use gamma or beta laws

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Q: Bernoulli’s Equation  2ydx+ x(x^2 ln y− 1)dy= 0

A: We have a given differential equation, 2ydx + xx2 ln y  -1 dy = 0 Here , Multiply both sides by…

Q: du dr u" = nu"-1 dx = nx-1 nx"-dx = x" + c d d du eu dx Seidx =e* +c dxe = e* d 1 d dx -ArcSen (x) =…

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Q: cos² x sin x dy + (y cos³ x - 1) dx = 0

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Q: QUESTION 19 plve for the differential of y when y=sinzx, x=-, 1 and dx = 2 2 2 4 4

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Q: * dy/dx=(x+siny)/(2y-xcosy) is an exact equation false true

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: 1. (D² 2. (D² -3D+2)y=sine* -3D-4)y=16x-50cos2x :

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Q: Ev 2 x 2 [x²z dx - yx² dy + 2 dz along the curve C'shown in the figure. AZ 2

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Q: 2. cos æ /1+ cos² x dx dy =? Jsin=' y -2/2 (a) 1 3 3 2/2 (b) 1 3 -2/2 1 (c) + 3 3 2/2 (d) 1 3 V2 (e)…

A: Properties of integartion  To determine ∫f(g(x))g'(x)dx Put t=g(x) the integral will be…

Q: Question 17 5 Points Find the equation of the curve for which dx2 d?y =6-9x and which passes through…

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Q: the different dy - 2 dx

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Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A 2х sec2(arcsec/x) (B © none of the given choices…

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Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: x²-a? 6.) y'of y = arccos² х-а + arccsc + arcsin- x²-a² a 7.) y"ofy = (x – a)V2ax – x² + a²arcsin…

A: Given  Y=arccosx2-a2x+arccscx-aa+ arcsinax2-a2

Q: Question: Find dy of the following function: dx xe' = cosh (xy)

A: y' = ?

Q: Secondary Topic 10. Find an equation (implicit or parametric) for the line tangent to the curve…

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Q: dy - x = x2 siny dx 3 -2 (-siny + cosy + Ce-y/2)* ANSWER: x = -

A: Note: Here, we shall solve Bernoulli's differential equation  dxdy-x=x32sin y instead of…

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Q: -3л/2 сл/2 2. I cosysin2x dy dx

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Q: Question 16 Find dy/dx at the glven point without eliminating the parameter, r=0 + cose and y=l +…

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Q: Question (3): Find the derivatives of the following (Do Two only)?. (2х - 1 (A) y = x + 7 dy d²y t2…

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