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Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: if Z= とan'Y final dž In Point C!,!)

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Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: 11. If QM = 6x - 11 and MR = 2x + 9, find MN. %3D

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

Q: Find if y dy et 2а?+3я — 2 -

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Q: If t(x)=0.08e^xx^2 and a=5, what is t′(a) to the nearest tenth?

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Q: Show that E[X]= a +V and o = b 4 4 -

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Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C

Q: If $ = 2xy?z + x²y, evaluate $ dr where C 3 from

A: Given, ϕ=2xy2z+x2y, We have to evaluate ∫Cϕdr where C(a) C is the curve x=t, y=t2, z=t3 from t=0 to…

Q: y = In(In 2x)

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Q: ハジ nd the exact lkength of the wnve र 4=1n(seccx)),

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Q: What is the value of k if any So kxe* dx = 1

A: This question is taken from the Definite integral in which we have to find the k value by solving…

Q: Which of the following is NOT true about the DE: 6xr?ydx+2x³dy=0?

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Q: and oh if as Find (i) hlYis) = L0ggo %3D

A: Given h(r,s)=logsr To find delh/delr and delh/dels

Q: Find f"() if fx) = 2e* - %3D e* In 2 Ob) 20 2e* O c) 2e O d)

A: Recall:     d(eax)dx=a.eax

Q: Show that, for all positive values of x and y, etty > e? ху

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Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: 1 1 dr = In a. find the exact value of a. %3D V16+9x? 19+4x*

A: Here we will solve for 'a' step by step answer given below,

Q: for z = In(2® + y*). Find

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Q: re 1 da Ji rVI- (In x)²

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Q: 12. If IN = 2x + 10 and AT = 26, find x. %3D %3D В 丰 N A O 6 O 12 О 10 8. -

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Q: O prove that : (2) DO 2x e dx a e +b where a, b >o

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Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: Prove that if x - Exp (A), then E (x²) = 2A².

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Q: If A= B = verify that A(B + C) = AB+ AC. :) 1 If A = 2 and B show that (AB)" =B'AT 4 -1

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Q: Which of the following is equal to / (2° – 7x)*dx = __" (x6 - (æ6 – 7x)5 + C ... O (2 – 7)5 +C ... ©…

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Q: Sy²el+2y®dy

A: Consider the indefinite integral ∫y2 e1+2y3 dy to evaluate the above indefinite integral, use the…

Q: Need help proving this     −z = (−1)z.

A: Same basic concept of Mathematics  Like  (-) *(-) = + (-) *(+) = -

Q: The characteristic of Z3[x] is 6. a) True b) False

A: Determine whether the given statement is true or false.

Q: In r dr

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Q: Find the value of x in Q. x=___

A: A line perpendicular from centre of a circle to the chord is bisect the chord.

Q: 2. (Z, * ) where * is define by a * b = a - b.

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Q: - the following lin e, Z = 600x1 + 70 d to X2< 60 2< 84

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Q: J Ax) dx 11. 12. -3

A: 11) From 0 to 5 there is a trapezium and from 5 to 6 there is a triangle

Q: In(y) 6° Evaluate dy.

A: Consider  I=∫19ln(y)ydy

Q: B 2. 7.2.Preve that CD= 24 SnR Vzt2 cosx

A: Use trigonometric ratio to solve

Q: 4 Evaluate f, S, 6xy² dydx

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Q: Find (t), given 7(t) = (- 2 In(5t), - 5/5t, – et). %3D F'(t) =

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

Q: D. Let Find 2,-

A: We will find out the required value.

Q: -:find sup (A) and inf (A) when A= (y = 2x + 1, x € N, -10 < x < 10}

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Q: Prove that if æ - Exp (A), then E (x) = X. 2~

A: Here,x~Exp(?)

Q: re + e Show that 1. 2

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Q: If dy4 then 3 meN such that d- 634

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Q: Show ther' 3 2

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Q: Q4: If z = tan 1),ti

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Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta

Q: Suppose that o f(x) dx = 3. Find , f(x) dx if, %3D

A: