Given that: 0 V40x – x² dx Find the value of m

Q: Evaluate: (answer in fractional form så S sinº x dx 0

A: To find the value of given definite integral ∫0π2sin6xdx

Q: For a given table 10 14 y 4. 12 20 dy at r = 2 using forward difference formula. dx Find the value…

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Q: dy/dx= 4/ root x, for x is greater than or equal to 1, with y(4)=4

A: Given equation:

Q: You need not expand your answer. dx Calculate y = (x + 4)(x2 – 4) Ap dx

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Q: Given that 3 ex dx — ез . e, use this result to evaluate 5ex 6 dx.

A: Given that

Q: dy dx\, Given that x = t e and y = 1² e“ +1¸ Find = - 1

A: We have to find derivative at that point

Q: Find the truncation error of the following formula if the degree of precision is 2. Ls) dx = ÷f(-1)…

A: Given: ∫-11fxdx=12f-1+32f13 To Find: Truncation error if the degree of precision is 2. Degree of…

Q: Given that 3≤f(x)≤4 for 3≤x≤4, estimate the value of ∫43f(x)dx ≤∫43f(x)dx≤

A: We have to find

Q: Given the functions x = 3t² + 4t and y d²y = sin 2t, find dx?

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Q: dy Find the value of at x= 5 using Lagrange's interpolation formula from the given table dx 1 7 y 4

A: Given  x17y48 we have to find the value of dydx at x=5 using Lagrange's interpolation.

Q: y= lux of yoe Find DfR.

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

Q: the following dy Sove D.E VI+x dy + XCI+y) XP

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Q: For what value of c does dx 1? 10 X

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Q: Given the expression sech e4y + cosh ek = In xy, find the value of dy when x = -63and y = -97. dx

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Q: A drag racer accelerates at a(t) = 66 ft/s2. Assume that v(0) = 0 and s(0) = 0. d. How long will it…

A: Given:- A drag racer accelerates at a(t) = 66 ft/s2 Assume that v(0) = 0 and s(0) = 0 To find:-   d.…

Q: If x =1 +1 and y = 21, find 4. dy dx a. 3t b. 61? 612 с. 61? d. 1? +1 (r* +1)*

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Q: Find d?y/dx? implicitly in terms of x and y. x?y - 3x = 8 dx2

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Q: Given that y = 7 ln u and u = 6x? dy Use the formula dx dy in terms of x. dx dy du to find dz du

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Q: For a given table 2 4 6. 8 y 9. 16 23 d'y Find the value of at x = 4 using forward difference…

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Q: Use the following data to answer question dy (1 + 2x),/y ,y(0) = 1.8 %3D dx Q. The value of y(0. 5)…

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Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

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Q: If the approximated value of , 16x³ dx using Simpson's rule is 260.03, then the error in the…

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Q: Given that x = e'Iny, y > 0 dx (a) Using the product rule find an expression for dy dy and hence…

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Q: If f(x)dx=10 and | (x)dx=3, then | f(4 – x)dx=? %3D

A: Given that: ∫-26f(x)dx=10 and ∫26f(x)dx=3

Q: E(XY)=?

A: Given Data: f(x,y)=17x2y             for (x,y)=(1,1), (1,2), (2,1)           =0…

Q: Given that 7 < f(x) < 8 for 1 < x < 2, | f(x)dx estimate the value of / s(x)dx < VI

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Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

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Q: 56 Given that: S V56x - x² dx Find the value of m

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Q: For what value of c does dx = 1? J10 x4

A: To find the value of c that satisfy the given integral.

Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: dx (1+x2

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Q: In order to apply the product rule we must first find and dx . Doing so gives the following results.…

A: The given differential equation is y'=4-32x-12. Find the value of m=f'=4-32 The function are given…

Q: Given y=ae" +Be where a and B are constants. Show that d'y Ay. dx

A: Given that: y=αe2x+βe-2x…

Q: If x= Arctant, y=. 2ay" =17 when t=V2. 1+76, find the value of a if y' В © VE E -2/2

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Q: Evaluate [(x² +2) dx , using Trapezoidal rule, by taking N = 8.

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Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: Given 2x2 - 4x + 6 dx find R4. (round to 4 decimal places.

A: The given integral is ∫122x2-4x+6 dx. Let fx=2x2-4x+6   on  1,2. ∆x=2-14=0.25. Note that…

Q: Determine how large the number a has to be so that 00 dx

A: Given, ∫a∞1x2+1dx&lt;0.009

Q: 1 dr rVx* – 4 #8.

A: The given integral is ∫1xx4-4dx. Let u=x4-4. Then, du=4x3 dx. Apply the substitutions and evaluate…

Q: Which of the following is equal to – 7æ)*dx = . %3D

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Q: V25-x² dx

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Q: Q1: what is on (3x) SI2 dx x2

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Q: Given that 1 -dr+ 1 - dx = ln a, find the exact value of a. V16+9x? V9+4x?

A: given: ∫01116+9x2dx+∫0219+4x2dx=lna we have to find the exact value of a.

Q: The volume of a cylinder with height h and base diameter dis given by V= Describe the relationship…

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Q: (3) ds V3s2 + 1 (4) / sec?(3/t) dt VE

A: Note: As per companys guidelines we are supposed to solve only 1 question ∫s33s2+1dsSubstitute…

Q: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.