1S prove that (a + b) = a² + b².

Q: (2) |R| = |2N].

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Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: Solve the initi al value pro blem:s' (x)=Seckta nx-2X1F(0 23

A: Given: Initial value problem f'(x)=secxtanx-2x f(0)=3 Formula used: ∫secx tanx dx=sec…

Q: P2: Calculate 2 ( aik Xi Xj Xx) where the Chijk are constants

A: We have to find  ∂aijkxixjxk∂xi that is partial derivative w.r.t xi. aijk is constant. To find the…

Q: Use the IVT to prove that r-5x2 + 2x = -1 has a solution. %3D

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Q: v.(AX 8) - 8 ·/TXA) – A (vX 8) Prove the earuation.

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Q: 222 – 7z (z – 1) (z – 3) - -

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Q: 3. Prove that {12a + 4b |a, b e Z} = {4c\c € Z}.

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Maximize B=6xy^2​, where x and y are positive numbers such that x+y^2=4.

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Q: d csc 'x dx -1 Prove that xVx? – 1 2.

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Q: Compate the Cantiderivative of fox) = x²+4 xナ4 %3D x³+ax

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Q: 3tan(x)=2sin(2x) from [0, 2pi)

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Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given,         QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

Q: – 10x J (2x – 3)(x + 5) 11 - - Evaluate + C

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Q: Prove that in the pairs of positive numbers ¤, y for æ² + y° = r the sum a+y is greatest when z = y.…

A: Here we solve the given problem of calculus.

Q: Describe the long run behavíor of f(r) = r° – 3r° – 2rª + 5 %3D - -

A: The long-run behaviour of a function is the behaviour of the function at its endpoints of the…

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: Using the substitution u = 2x – 1, prove that - -3 8 dx 1 (2x-1)3 25

A: The given integral is ∫13x(2x-1)3dx Put 2x-1=t⇒2dx=dt when x=1 then t=1 and when x=3 then t=5 So,…

Q: Find fsh r div poive 2 40) f"&) = 20xs +12x²+4, f(O) = 8, f() =5 %3D

A: topic - integration f(x) = x5+x4+2x2-7x+8

Q: Find mZF. 4/30 G 4/30 E mZF %3D Submit

A: We have to find the angle

Q: prove using the IVT. 2x + 3x = 4x has a solution.

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Q: Use the subst ition =x+y=0 4x-3y=0 By Your answer is

A: -x+y=0  ----->14x-3y=0  ----->2from equation1-x+y=0⇒y=xsubstitute y=x in equation 24y-3y=0y=0

Q: Show if z = 2 + 4i satisfies z? – 4z + 20 = 0

A: To show that a value or number satisfies an equation, we substitute the value in the equation and…

Q: Express in the form x + jy Q7/ (2) In(3 – j)

A: Solution:-

Q: -2t 7. f(1)=3e" cosh (In 2r) in two ways.

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Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: 2 Xi. にく prove thate 2.

A: Given that  We have to prove the given expression:

Q: 2017 J Q3 + V5 in the form a+bV5, where a and b are integers. Without using a calculator, express -2…

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Q: a. Prove that 8s + 13 L-1 s2 + 4s – 5) + 45 – 5 -7(7e" + 9e-st) by using completing the square…

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Q: nd y axsis labelled ?

A: Morphospecies on A Morphospecies on B Morphospecies on C 7 13 3 7 9 4 2 4 4 4 4 2 11 14 10…

Q: (b) Show that xE R, x2 - 4x + 5 > 0.

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

Q: Show that if A? = I, then |A| = ±1

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Q: What value of x woula prove (8x- 31) (5y+ 35) (6x +3) m

A: The value of x is:

Q: 3 Q 4. Differentiate Vx2 Vx2 2 +

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Q: Compute A−2 two different ways and show that the results are equal.

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Q: Evaluate A (z 2") by parts.

A: Solution:

Q: Prove that there is a solution of the equation 2° + x² + 4 = 0, x in R.

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Q: 5lim V3+x-J3 8→0

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Q: Express (i)(T) J3(x) in terms of J₁(x) and Jo(x) (ii) J₂(x) in terms of J₁(x) and Jo(x) (iii) J4…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: 3) Let B = Find Least 10 - I- square salution of Bx = 6

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Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

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Q: 6) Prove mathematically that (1 grad = 0.9 deg)

A: We know, that 1grad= 0.9 deg.  we can solve any other similar problem by multiply the number of…

Q: 4. Now, determine the value of c in (0,1) such that f'(c) = 2 fx) =4x

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Q: 2. 2. (xij-X-) Xij-.. prove thate

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Q: What is the zero-product principle?

A: Zero product principle states that if ab=0  then a=0 or b=0 We apply zero product principle while…

Q: -25 (1+j2 Show that (3+j4 2- = 57 + j24 -j - 2

A: The expression to be proved is  -2521+j23+j4-2-j5-j=57+j24