Verify that 0t ду дх дх ду 2. 3 y 3 f (x, у) %3D 2х*у — х"у — ху

Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: Differentiate y = Vx+1 *

A: Differentiate:    y=x+1

Q: sec(0)

A: Given data:     The expression of the given angle is: 180°≤θ≤270°.     The expression for the given…

Q: Verify by differentiation that x4 is an antiderivative of 4x3.

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Q: Differentiate y = VIn x 2 Inx +1 A. 2(In x)2 3. Inx-1 3 (In x)2 2 Inx-1 C. 2(In x)2 13 1. D. 3) 2(In…

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Q: Use differentials to estimate (2.03)4

A: Given: To find differentials to estimate (2.03)4

Q: Differentiate.   y = In (Cosh 3x)

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Q: Evaluate sech(3 – 2y)" dy

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Q: Prove the relationship =<- dt

A: we have to calculate  ddt&lt;px&gt;  .....(1) &lt;px&gt;=-ih∫ψ*∂ψ∂xdx .....(2) substituting equation…

Q: I It ex 1-ex dx

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Q: Differentiate. y = 3 x In x

A: According to the question, we have to differentiate the expression y=3x lnx. To differentiate the…

Q: S (sech u + tanhu)² du

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Q: Differentiate: F(y) (y + 9y°) yA - y?

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Q: Evaluate: ²₁¹ (x² - y²) ²1 x+y du du dt

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Q: dy Use implicit differentiation to find dr 4x²+ 6ln(xy) =9 y(4x²+ 3) а. 3x 4x²y b. 3 - с. Зу y(4x²–…

A: Solve the following

Q: Estimate (1.02) V0.99 using a local linear approxima

A: Here we have to use the linear approximation.

Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: y = x° In x

A: Given information: The given function is: y = x6ln(x).

Q: |х — 1 x5

A: Use the method of substitution to evaluate the integral. I=∫x−1x5dx=∫x−1x52dxLet u=xdu=12xdxSo,…

Q: What is the derivative of cot³( 4x³ – 2x)? A (– 36x²+6)cot2(4x³– 2x) csc²(4x³– 2x) 36x?cot (4x³ –…

A: Given : Function cot34x3 - 2x   To find : Derivative of given function?

Q: dV 4. dr :47r2 dt dt

A: We have to find: dVdt=4πr2drdt Here, dVdt=rate of change of volume  and, drdt=rate of change of…

Q: d Verify coth x = - csch² x. dx

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Suppose that y varies directly as x' and inversely as w. If both x and w are doubled, what is the…

A: Given: y varies directly as x5 and inversely proportional as w2

Q: 9. Differentiate y = /sec³ (5t2)

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Q: If z = x2 - xy + 3y2 and (x, y) changes from (3, -1) to (2.96, -1.05), compare the values of Az and…

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Q: in ze2arctao e C Itex) sec (2

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Q: Evaluate 2y dy

A: In some cases an integral can be converted to a standard integral using an appropriate substitution.…

Q: How fnd the pistance from Faint (1,3) and Line y =4

A: We will write the equation in general form and then use formula to find the distance.

Q: arc JK = (7x - 39)° and arc ML = 87°, find x. *

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Q: Calculate the derivative of 2t – 1 > t + 2 r(t) =< 3t – 5, 2t2 + 5t + 7,

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Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: find fsubxz if (x, y, z) = ye^x + x ln z

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Q: Find dt

A: We have to slove derivative

Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: Use differentials to approximate the value of s2.1. O 100+6ln5 4 O 50+5ln5 2. O 100+5ln5 4. O…

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Q: Show that - dx /x²+2x+2 L- In(√5-2).

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Q: find the integrating factor

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Q: Solve to Find if cscx – San () dt = 4 – y?

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Q: Differentiate the following functions y = 4sin(2x) + 3cos(4x) y = 6e3x + ln(2x)

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Q: Given: y = cosh cosh (ex²)

A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

Q: Find the integrating factor.

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Q: Find the fourth derivative of f (z) = 27 + In (z) – 160z. %3D

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Q: Evaluate J sec3x cosecx dx

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Q: Differentiate y = rarctan(e") re arctan(e")+ re Option 2 Option 3 re arctan(e") - Option 4 None of…

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Q: dx J Tx2 – 25

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Q: Q5) Evaluate: Lyz(x + 1) dzdydx

A: our objective is to find the integration

Q: When is lnx negative?

A: Let the function be                                  y=f(x)=ln(x) The domain of the function is all…