02/suppose 4x+ 9y 36 where x and functions of t Y are dy =1 Rind dX when x=2 and y = 215 3. if dx. 3 find dy when X= -a and dE 131

Q: Suppose z = x2 + y5. Then dz/dt = dy dx 2 +5- dr dr 10 dy (3) dx dx 2²+5 2r dt dx 21 +1 dt dt € 1 dt

A: Given query is to find the derivative.

Q: 1 5 X If y = - find dy dx at x = 2.

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Q: Q1/ Evaluate So (x² + 3y²) dy dx using Simpson's 1/3 rule in x-axis and Simpson's 3/8 rule in y axis

A: 1 Given integral is ∫03∫01x2+3y2dydx. We have to evaluate the given integral  by using Simpson's 13…

Q: (5* )csch x²+1 dy if Find dx 1. (a) y = x >0. (ecosh 5x) In Vx +1 )

A: Find your answer below

Q: obtain the general solution.  dx =t(1+t2)sec2xdt. (1+In x)dx+(1 +In y)dy =0

A: (1). The given differential equation is: dx=t1+t2sec2x dt

Q: dy Q3) Find dx y = (cosx)v2 y = 3tanx In3 2 - e = ylnx 4 - y = cot-1! 1- 3 - + tan-1x 5 - y = =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: y=(6+ex)13y=(6+ex)13 Find dy/dx dy/dx=

A: Using differentiation with respect to x,

Q: dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

A: As we know that; The Power Law: ddxxn=nxn-1 From the given problem: y=x3-2x ; dydt=3 First, we have…

Q: dy y(ln y – In x +1) dx 1 C = -In None of the choices Option 1 1 C = -In C = -In- -ln Ontion3 Ontion…

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Q: Find dy/dxin terms of x and y if (x−a)^4+y^4=a^4. Assume that a is a constant. dy/dx=   implicit…

A: (x−a)4 +y4 =a4 a is a constant. dy/dx = ?

Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: Suppose 4x2 + 16y2 = 100, where x and y are functions of t. dy (а) If dt 1 dx find when x = 3 and y…

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Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: 4. Find dy/dx for y = sinh v4x2 + 5 %3D

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Q: 16 tan- dx 1 + x? dv 19. 20. (1 + v²)(1 + tan¬1 v) Oe® do 2e-0 sin 0 do 21. 22. e tal dx 2хe dx 23.…

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Q: -cosh(x)dx 18) St?cos(2t)dt S 2y²e»*dy 19) Sxeax+1dx dx Sx²e2*dx 20) S x-x2 ) (2?/ª x)°e-In(x²)e3×dx…

A: We have to find the integration.

Q: Н.W. 2) Inx = dy = 1 dx dy 1) = ex-y 3) /2ху dx dy y

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: dy = 3. dt dx at x = 4 if y = - 2x² + 5 and dt Find dx dt

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Q: 2. Evaluate dy and Ay if x = 1 and dx = Ax = 1. 3. Find the equation of the tangent line at x = 1.

A: Your question contain only two which i have solved completely.

Q: find dy/dx if y=((t-1)/(t+1))^2 and x= (1/t^2)-1 at t=2

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Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2…

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Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: find (x² – 2x + 1)e²* dx dx 9. 10. fun tan - y dy y dy 11. 12. sin- x sec² x dx 4x sec2 2x dx 13.…

A: Hello thank you for the question. We’ll answer the first question since the exact one wasn’t…

Q: For y= sintx/2 obtain dy/dx at x= 0.5 with Ax= 0.1 using: dy。+1-リ-1 (a) dx 24x dy Yj+1-Y;. (b) dx 4x…

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Q: dy Q4: If y = tanh e3x find dx

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Q: Find dy/dx implicitly exy+x2−y2=19

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Q: Cln S iny 7. ex+y dx dy 0.

A: I=∫1ln8∫0lnyex+ydxdy⇒I        =∫1ln8ey∫0lnyexdxdy               =∫1ln8eyex0lnydy…

Q: II. Find dy/dx of the following functions: 4. ytan (tanh.x) 5. y=e³x sechx 6. y = √sech5x

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Q: dy 7. Jaye20 sin x dx 8. S 12-cosx 3y²-2y+1 -dy 9.

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Q: Let e 2* = 2 find dy dx at x = 1

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Q: Find the general and particular soulution of dy/dx=3y, where y=6 and x=0

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Q: Find the dy/dx if y = ett O e** (1 + Inx) Ox*(1 + Inx) et*x*(1 + Inx) O e*(1 + Inx) Find the dy/dx…

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Q: 6. dQ/dt + 2Q/(10 + 2t) = 4 ; Q(2) = 100 7. dz/dy – (2/y) z = 2/3 yª 8. (x + 1) dy – 2y dx – 2(x +…

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Q: dy 2) Find implicitly: dx (a) xy+3x2 =y? (b) exy – Iny =x? %3D

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Q: If x ^2+ y^2=100 and dy/dt= 4 , find dx/dt when y =6

A: Solving the problem by method of differentiation.

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In A + (In V) (Inx)2 2) y = tan (x*)

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Q: Find dy/dx implicitly. exy + x2 - y? = 11 |

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Q: dy = 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and

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Q: Let y = tan(5x + 3). Find the differential dy when a = 3 and dæ = 0.4 Round to 4 decimal places if…

A: For calculating dy, first we have to differentiate y w.r.t x, then find dy from that expression. The…

Q: If y = 2x³ +5 and dx = 3 then find dt dy when X = -2 dt

A: Given  y=2x3+5dxdt=3 To find dydt, when x=-2

Q: Find dy/dx by differentiating xe²y + 7 = 4y² – 5ª implicitly.

A: Given: xe2y+7=4y2-5xDifferentiate both side with respect to x

Q: 4- Find dy/dx for y = 3(sin-(e-3x*)2 dy 31(sin-(e-3*")r* In3 2(sin-'(e-3x")- dx 1(-6х) е 1 - e-6x2

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Q: If x^2+y^2=25 and dx/dt=6, find dy/dt when y is positive and (a) x=0: x=1 x=4

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Q: Can you help me step by step?

A: Let u=1+x^4

Q: Let y=(x2+4)to the 4th power. Find the differential dy when x=3 and dx=0.3.... Find the…

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Q: Find the differential dy. y =  x + 8 7x − 1

A: Assuming that y is given as:

Q: Find dy/dx by the implicet differentiasion x2+y2=64

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Q: 02 suppose 4xt 9y 36 where x and Q 2 are functions of t if dy =1 Rind dx when x=2 and y = 215 dt y =…

A: Firstly differentiate given equation with respect to 't' and put all the given values and find dydt.