Evaluate f 2х-5 dx x(х-1)3 O A) I DON'T KNOW B) 5 In|x/(x-1)|-5/(x-1)+3/(2(x-1)² )+C C) NONE OF THESE O D) 5 In/x/(x-1)+5/(x-1)-3/(2(x-1)² )+C ( Previous

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: branch of z1/5 that is not continuous and positive on the imaginary axis?

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Q: Show that f Va²-t²dt = a² sin-¹(2) + x√a²-x².

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Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

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Q: Evaluate in terms of beta function: (1 – +) dx. - O-8(금, 금) O-8(를, 승) O B)

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Q: Suppose that | f(z)dz = 2, | f(z)dz = 1, %3D [ 9(2)dz = - 5, | 9(2)dz - 2. Then, | (=) – g(2))dz =

A: Given: ∫25fxdx =2, ∫23fxdx =1, ∫25gxdx =-5, ∫23gxdx =-2 To evaluate:∫35fx-gxdx We know that…

Q: Find f'(x). f(x) = O O O 6x - sin² (5x) f'(x) = O f'(x) = f'(x) = f'(x) = = 6-10sin(5x)cos(5x) 2√6x…

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Q: The range of F (x) = 3 sin 2 x is -3≤F(x)≤3 -1≤F(x)≤1 -2≤F(x)≤2

A: The given function is: F(x)=3 sin(2x)

Q: Prove that 1 3V2 dx < 3 + x (Hint: Theorem 5.9(ii) and carefully chosen functions should do the…

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Q: Wt-1+2 dt

A: We will find the integral as following.

Q: Find the indefinite integral and check the result by differentiation. dx 9x2 Part 1 of 7 Observe…

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Q: Issol za 53. f(x) = VxIn x on (0, co) %3D

A: Given: 53.   fx=xlnx,  0,∞

Q: 2. Use the Intermediate Value Theorem to show that 2x-3 if – 3 0 has a zero on the interval (-2, ln…

A: Introduction: The intermediate value theorem is an advanced property of a continuous function.…

Q: Construct an example of an non-homogeneous ODE that cannot be solved using method of undetermined…

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Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

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Q: 2) Use Newton's method to approximate the zero in f(x) = - x3 + 3x-x + 1, or explain why Newton's…

A: Consider the given function,

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: 10 1. If :| f(x) dx = –7 and = 1 then determine 1- f(x) dæ || -3 -3 showing working.

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Q: The integration expression sin(3In(x)+ 4)cos(3ln(x)+ 4)dx must be transformed into using suitable…

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Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: Integrate the function. Vx2+36 dx 5x2 Select one: A In x2+36 А. 1 + x/ - Vx2 + 36 + C 5х В. Bx + In…

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Q: Find the intergral of 2xsin(x²+1) dx Please make it step by step

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Q: (b) Prove that : - 1) (coshx)² – (sinhx)² = 1

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Q: The integration expression sin(3In(x) + 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

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Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) =…

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Q: B. %23 Explain how you can prove that LA LC.

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Q: Find the value of xg in 1 decimal places (positive value) using Secant Method (5th Iteration) f(x) =…

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Q: what is the quadratic polynomial for the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1) (show…

A: We will find out the required value.

Q: Differentiate the function f (x) = 4 cos 3x - 3 sin 4x. %3D O -4sin 3x -3cos 4x O -12(sin 3x + cos…

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Q: 1 1- (-1)". f (x) = 2 sin nx. - n=1

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Q: Prove that f(x)= sin(5x) < 5x on [0,x]

A: Take the help of derivative and try to prove the given statement in two cases.

Q: Use the intermediate value theorem to show that there is a solution to x− √ x−ln x = 0 on the…

A: Use the intermediate value theorem to show that there is a solution to x− √ x−ln x = 0 on the…

Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x)…

A: Let's find.

Q: Show that f(x) =9/x  is continuos  in x=3

A: Function is said to be continuous if the left hand limit , right hand limit and limit at that point…

Q: у %3DIn(In sec x)

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Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: Use the Intermediate Value Theorem to show that 2x – 3 - if – 3 0 has a zero on the interval [-2,…

A: First compute the function if they are continuous then apply the intermediate value theorem.

Q: Number 8

A: first find the derivative.

Q: 27. f(x) = In (1+x) %3D

A: The given function is f(X)=ln(1+x)

Q: 1. f(x) = cos 2x - Show the solution of the derivative using F'el trigonometric identity that it…

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Q: (b) Verify that f(x) = 2 cos(x) sin(x). f(x) = sin(7x) + sin(8x) 7x + 7x = 2 sin 2 = 2 sin |co(-)

A: Let the function is  f(x)=sin(7x)+sin(8x)   Formula used: Sin(a)+sin(b)=2sina+b2cosa-b2

Q: Prove sech 2  x =1 - tanh  2x

A: we have to prove: sech 2  x =1 - tanh  2x

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

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Q: If g(x) : 8 + cosh(9x) find g'(x) 8+ cosh(0)

A: Answer and explanation is given below

Q: What is the substitute of the expression (9+x)/2 if [ dx -is transform by trigo substitution…

A: In the question we have to find substitution for given integral value.

Q: sech2(In x)

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Q: If f(x)=sin-'x. Show that (1-x2) fx(x)-xf (x)=0. HENCE ,prove that f^(n+2)(0)=n²f^n(0)

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Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

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