unction such that dx, g(1) = 1 then

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A: The given differential equation is,

Q: dy Find using implicit differentiation. dx 2x = 5y +7y 3 %3D

A: Given:  2x3=5y2+7y Now differentating on both sides with respect to x        d2x3dx=d5y2+7ydx…

Q: Use Fubini's Theorem to evaluate .2 -dx dy. I + xy

A: Given :            ∫02∫01 x1+xy dxdy By Fubini's theorem, the above integral can be rewritten as ∫01…

Q: dy for all of: dx Find 3 x(x-2) 2- у %3 x2+1

A: We will use simple differentiation rules to solve this question.

Q: dy Use implicit differentiation to find dx 3х- 2 4y23= 3x +2 dy

A: Given that  4y^2=(3x-2)/(3x+2) Differentiate the function with respect to x

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A:

Q: Sinx 19)Let E(x)= Itt" dt for X in (-oo, co). Find F'X)

A: Explanation of the answer is as follows

Q: Jay ti dx dy Compute the integration

A:

Q: find dy/dx. do not simplify with the exception of multiplication of numbersy=x^3/3-x+5

A: As the function is given as:y=x^3/3-x+5To calculate it derivative we use the differential rule for…

Q: Using Beta function, show that dx 3- (b – x) (x – a) |

A:

Q: ) Isinx-sinyls lx-y!

A:

Q: 1 Evaluate | dx by Boole's rule. 1 +x

A:

Q: f(x)=\arctan (1-x),[0,1]

A:

Q: QI Find dy for dx dt

A:

Q: Ssin'x cosde 3. Sin'x cos dx

A: Given: ∫ sin3(x)  cos(x) dx We have to evaluate the given integral.

Q: determine dy/dx if xy = ecsch(x)+picos(0)

A: The given implicit equation is: xy=ecsch(x)+picos(0) Clearly cos(0) = 1, so…

Q: V3x d. Evaluate dx sin(3t) dt

A:

Q: sinx D.a) Find if mx Vt + 5 dt + siny = x-x²cosy

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

Q: y = sinx from x = = to x = n and the x axis 2

A: The required solution is:

Q: sin³ y dy 2. S 1- siny

A: Solution Given   ∫sin3y1-sinydywe need to find the integral

Q: QI/ Find dx 少 for Iny=ex).csch"()

A:

Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

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A: Consider the following: Differentiating the function with respect to x on both sides, we have,

Q: Using the Chain Rule Find dy/dx for y = (x2 + 1)3

A: Given, y=x2+13 We can write given function as, y=x2+12x2+1 Now by using the chain rule,

Q: CNIVERSI Find if f(x,y) = y sin xy 3.

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

Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: ly Exercise: Find dx 1. y. 10x+3 Cosx y lox +3 Cosx +子 Cotx 3) 14 Cotx

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: (sinx+1) y = (cosx+1)' dy evaluate dx

A: We have to find the derivative

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: ue of J. Note that the lows

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

Q: Cos ly -A) %3D show that 2 ニ0 2 8x Sx8y

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

A:

Q: zyz-zy a) dx

A:

Q: Find dy/dx in terms of x and y if arcsin (x2y)=xy2

A:

Q: dy for all of : dx Find 3 x(x-2) 2- y = V x2+1

A:

Q: (f) y = e* In(tanh(x))

A:

Q: J arcsin vc da

A: To evaluate the given definite integral.

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A:

Q: Detevmine the com uergen e the isteguail -3% Xe dx

A:

Q: Fx to find dy Assuming 8x - 9y - xy = 0 defines y as a differentiable function of x, use the theorem…

A:

Q: 1

A:

Q: d -(cos(x² – 2x)) dx Evaluate

A:

Q: f(3x . dx + 1) when f(u) = sin(u). Calculate d f(3x² + 1) = dx

A: f(u)=sin(u) To find: ddxf(3x2+1)

Q: Question 8

A:

Q: (sinx+1) (cosx+1) dy evaluate dx -If: y =

A: Use the concept for derivative of the form  y = f(x)/g(x)

Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

A:

Q: dy Find by implicit differentiation. dx x³y – xy³ = a°b³ 3

A:

Q: dy Use implicit differentiation to find dx X+3 %3D У -3 3y = dy %3D dx

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (4, -3)

A: To solve the given line integral.

Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.