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Q: If a = = V7 =7, then x %3D

A: If x2=7 then x=7   Given statement is TRUE

Q: t2y″ − 4ty′ + 4y = 0

A: given:

Q: Then P(X + Y <7) =

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Determine whether the statement is true or false for all x > 0, y > 0.

A: a.)logbxlogby = logbx-logbyThis is wrong statement.The correct statement is given by formula -…

Q: S. x Y+ 3 x²

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Q: Q3/ evaluate (ye* -) dydx

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Q: y 8. If z = 2 = 0. show that + 2 x + y ||

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Q: y"-2y' +24y=3sin(4x) +6cos (7x)

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Q: = 2x for 0 ≤ x

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Q: a) S." x³e-x²dxt

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: f(t) = t5et 120 А. (s-4)6 24 C. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

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Q: Find y' if exly = 3x - y. Зх — %3D y' = ||

A: Using Derivatives of Implicit Function.

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D.…

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: Determine ¹{F}. F(s) = 4s² +47s+129 (s+ 5)² (s+3)

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Q: 3y t – 4y' + 5y = 0

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Q: Jtan xdx - L

A: By using basic definite integral   As per our guideline we supposed to answer only first question…

Q: Evaluate f, Iz2 – 4| dz

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Q: Then y' =

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Q: Q7// Evaluate f -64 -dy

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Q: Let d3+2y (1,)ル

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Q: If y = 5 when x = -3, find x when y = -1. %3D

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Q: There are 10 students in a cafeteria. If X denotes the number of males, what are the possible values…

A: There are 10 students in cafeteria.

Q: Find fy, fy, fyx, fyy,ty,fyx flx.y)=5e'nnyr9

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Q: NCx) = x²-2x-5 h(x) = x +4 Noth

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Q: y" - 2y'-3y = ex

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Q: Evaluate √t (3t-t²) dt

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Q: yy'=t^2

A: Given,       yy'=t2

Q: Q3/A) Evaluate: + Vx

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Q: y = exlnx

A:

Q: . There are 10 students in a cafeteria. If X denotes the number of males, what are the possible…

A: The total number of students is 10. The student could be either male or female. Thus, the group the…

Q: sult wher W

A: Divident is 3x3+18x2+23x-4Divisor is x+4We will do it by algebric division method.

Q: Sovle for x

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Q: C1oy +11) dy ty2-4y+5 10)

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Q: cx? + 7x if x 4

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Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: Find mean

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Q: (2x + 3y) if 0< x< 1 and 0< y) = otherwise

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Q: 3 For V- evaluate y' when y = 4.

A: Please refer the attached image for complete solution. THANK YOU.

Q: y 10 10 10 5)

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Q: Find y'. y = [In(x5 + 3)]2 y' =

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Q: 事 f(x42y,4ェ) 3. If Zx-XZy 2,ー =!

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Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

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Q: Evaluate y / |y| for x = 2 and y = -5 ?

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Q: min z= 2x, + 3x2 s.t. 2 + x24 X - X 2-1 X1, X 20

A: (Solving the first question as per our guidelines. Please submit the remaining questions separately)…

Q: ") Let X = n(µ,16) and Var :- 6x) find µ.

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Q: 2x + 5; if x x3 – 1; if x ƒ(x) =

A: Given: - The function is, f(x)=2x+5; if x&lt;3x3-1; if x≥3 To find: - The value of the given…

Q: Find f132 if f(y,z,x) =3x2+6xz+yx3

A: Question- Find f132 if f(y,z,x) =3x2+6xz+yx3

Q: Show that: αλ (a-1)²(a-2) Var(x)=-

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Q: Find The derivatve of this fanction y= (x-1)(x-4) (2-2)(x-3)

A: