E is the midpoint of FG DF = DG Given: Prove: DE I FG

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Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: Given, f (z) = v15 H fénd †(-1) O 16 O 14

A: To find value of function at any point, we have to put the value of variable in function and then…

Q: Show that f dx = xV-1 + C

A: If ∫f(x)dx=F(x)+C, then it can be written that f(x)=ddxF(x). Here, f(x) is the derivative of F(x)…

Q: Find V²f by the formula V²ƒ =div(grad f) given f(x,y, z) = e³wyz grad f = [| V²f =

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Q: Find the antiderivtive: 3x5+2x²+3 x8 - dx = + C

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Q: find for the: f(t) = 35gh (st) - W let: 35gh (34) = 6

A: What is Fourier Transformation: Integral transformations include Fourier transformations. It…

Q: Q4): Evaluate: L SEL(a + 1) dzdydx ;a = constant

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Q: Prove that: f(æ) J. F(2) + f(a + b – x) b - a 2

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Q: Evaluate : dx x* + x2 +1

A: Mathematically, the derivative at a point is defined as f'(x)=limh→0 f(x+h)-f(x)h. According to the…

Q: √2-y² X √x² + y² dx dy

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Q: Bonus ( Show that given R: x € [0,1] Ay € [0,2] [[3x²yexydy dx = 6

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Q: I| The height in feet attained by a rochet t seconcls into flight 1s gien by hCt)= -t° + 16€?+ 33€+…

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Q: dx B: Find: Vx. evx

A: Given:  Let I=∫1∞dxx.ex  To Find: To evaluate the given integral.

Q: 15. IT Kis the midpoint of J.JK=&x+11. and. KL= 14x- 1, find JL. 15 JL =

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Q: dz, C:z| = n. %3D 2++13z2+36

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Q: Write the eguatoN: ation: vertical Asympto te at x- -1 d olible zero at X= 2 y intercept at (0,2

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Q: r4 2x³Vx-5x²vx+3Vx+2 dx

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Q: dy Given y = x3 In x, is: d.. Select one: a. 3x2 In x + x2 b. r2 c. 3x In x + x³ d. 3x2 In x

A: Using the product rule of differentiation, it can be written that…

Q: fe Given that ex dx = = e³e, use this result to evaluate 3 7ex +6 dx.

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Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: The result of f(+√y) dxdy= 30.66 O 43.66

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Q: 4. For each set of sign charts in the following Exercises, sketch a possible graph of f. -2 + 2 (a)…

A: As in the given sign chart the function is positive in interval 1,2, and f'' is also positive in…

Q: The following properties are true EXCEPT A. 51 2l = lsl l2 C. 2= D. 1 + 22 = 3T + 32

A: To identify which of the given property of complex number is not true.

Q: hnd the linear apprakimation ot x:0 to t6-x Weite ny.Ax-b answer in

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Q: n Evaluate : [(x + Vx? +1)" dx. X

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Q: For the following exercises, compute dyldx by differentiating In y. 323 y = x ,-1/x

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