6 .6 If f(x)dx=10 and f(x)dx=3, then | f(4 – x)dx=? A В 3 (c) 7 10

Q: 10. Evaluate the integral. dx x²/4 – x²

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Q: 1-X 1.S.S C14 X) dY dX (1-x) dy dx 1+X

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Q: 2 Example 10.8. Using Euler's method, find an approximate value of y corresponding to x= 1, given…

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Q: 2.) Find the critical values for g(x) = x?e-2x %3D

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Q: 8. Evaluate the integral. 2 2 (a) S(4x°. 3x + 2x)dx - 1 4 4+6u (b) S(ou)du Vu 1

A: Using rules of integration & formulae of integration.

Q: 2 S (x) + x³)dx = ? -1

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Q: 4 the second order For the function y = 4 e" - - d'y is derivative dx? 4e + 8x-3 O 4e" + 4x-2 -3 O…

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Q: find the absolute extrema of thefunction on the closed interval. y=x^{2}-8 \ln x,[1,5]

A: Given:- function y=x2-8 Inxdefined on the interval 1, 5 The derivative of the function is y'=2x-8x…

Q: 10. f (x) = x² + 4x + 4 Opens up/down:. Vertex: Axis of symmetry: Solution(s): y-int: Domain: Range:

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Q: e the composite Simpson's 1/3 rule with step length h = 0.4 to estimate In(2+3/x) dx. -dx, 1+x²

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Q: What does f(z) dz mean?

A: Given that: ∫f(x)dx

Q: The integral S.¹0 d 10 x²+6 x-8 is improper. dx

A: The given integral is (x2+6)/(x-8) , limit from 6 to 10.

Q: 8) A table of values for h(t) on the interval [0, 10] is shown below. Use a left-endpoint rectangle…

A: Explained below

Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

A: Given: ∫kx4+x2dx We have to evaluate the given integral.

Q: 1. Evaluate S xe0.1% dx In x 2. Evaluate Sdx x3 3. Evaluate S x³(x² – 1)1°dx | 4. Evaluate (2 +…

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Q: 6 1) Find the general antiderivative for f(x) = 1+ x?

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Q: 2. gxc2x2+3 dx Selast & du 니 get x in terms of u ut 2x2 +3 4-3 = ㄹ x² 4-3 x = 이들 4-3 z soke har x…

A: Given ∫x2x2+34dx

Q: S 8x dx/1+4x? (x = 0 to 1/2) * O In (2) In (6) O In (4) If y = (x? - 1)/(x² + 1) then dy/dx 2x / (x2…

A: Q-1 : I=∫01/28x1+4x2dx =∫01/2ddx(1+4x2)1+4x2dx (∫f'(x)f(x)dx=lnf(x)) =[ln(1+4x2)]01/2…

Q: X: 5 1 1.5 2 2.5 3 3.5 4. f(x): 8.5 8.8 9.2 9.4 9.6 9.7 10.2 10.6 10.8 Estimate f(x)dx using The…

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Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-7)dx…

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Q: 2 1 The approximation of -dx by the composite Trapezoidal Rule with n=2 is O x+4 0.30833 0.40833…

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Q: 2. * S arctan x dx 1 In(x²) + C C 1. x arctan x C A x arctan x -In(x² + 1) + C -- B 1 D x arctan x…

A: Solve the given integration

Q: 1 F(s) %3D 2 s+1 s+3 (s+2) 6 F(s) = e-s (s² +4).

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Q: find the general solution of dy/dx + (3/x)y=2/x^2 as a function of x

A: Given,           dydx+3xy=2x2

Q: Question 5 What can you derive by applying Associativity (Assoc) to F~O • X)

A: In the given question, the concept of associative property is applied. Associative Property The…

Q: Г. 5 1, г)ах — 9, g(x)dx 8 Compute: -[о g(x)dx b.) == 5 3f(х)dx %— с.) .5 f(x)dx d.) 2 "/Г 5…

A: Given,

Q: 2. Use the linear approximation of f(x) = x² ln(x + 1) to estimate (1.01)² ln(2.01).

A: We need to estimate value.

Q: The following integral is  The integral of g(x)dx from 7 to 2

A: The given integrals are,

Q: Q8. Using 1/3 Simpson's rule with h = 0.1 estimate (x³ – 3x2 + 2).dx

A: Formula Used: Simpson's 1/3 Rule ∫y dx=h3(y0+yn)+2(y2+y4+ . . . )+4(y1+y3+y5+ . . . )

Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

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Q: 6. Given the pdf f(x)=B(1+x)-(1+B) x>0 Find the MLE of ß

A: Let x1,x2,...,xn be random sample from the given pdf. The pdf of xi is given as fxi=β…

Q: Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x…

A: We are allow to solve first question only .If you need rest of answer please upload it separately…

Q: dy y(ln y- In a+1) dx 1 C = -In 1 C = In O Option 2 Option 1 1 C =-In None of the choices O Option 4

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Q: 6. Evaluate the integral. x³e2x dx

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Q: 1 4) S(x, y) = Ans. f(0,0) = -1 local max. x+y -1

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Q: In the gas pipeline of Cactus, Tab. to Reynosa, Tamps. The cost W(Ton/hr) is determined periodically…

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Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-8)dx…

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Q: Evaluate. e14x (e14z +13)² (Note that the constant of integration is already included) dx +C

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Q: 3 9 a) Change the order of integration and evaluate: S [ dr dy 0 0

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: 16 Suppose we know that (3fx)-2)dr-6 4 and that Sxf (x²) dx =8. ise this information and properties…

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Q: -X +7 Evaluate the integral: dx (x-2)(x+3) In x - 2|+2 1n x +3 +C 2 In |x – 2| – 2 In |x + 3|+C 2…

A: First of all we will do partial fraction, then we will evaluate the integral.

Q: Q1/ Evaluate 1 dx Jo 1+x² using Simpson's 1/3 rule Simpson's 3/8 rule i- ii-

A: Simpson's rules are techniques of numerical integration. Both 1/3 and 3/8 rules are explained in the…

Q: 2. Integrate: x² In x dx a. Inx+c b. [(In x)² ++ c c.[(Inx)² - Inx++c d. none of these

A: To evaluate: ∫x2ln x dx

Q: 1. Use algebraic manipulation and (if necessary) u-substitu- tion to integrate the function. (a) /…

A: Hey, since there are multiple questions posted, we will answer the first three subparts of the…