Q1 1) z = xy +y,wherex =r-s,y =r +3s then ar a) (3y +x) b) (3x +2y) c) (2x +y ).2 d) Noneofall

Q: 6. Solve for x, XE C: a) x³-7x+6=0 b) 2x³ + x²-8x-4 = 0 c) 9z³-4z=0

A: As per the guidelines of bartleby First three question from multiple Parts is answered at a time,…

Q: SV² + 1)dy у2 +4

A: The meaning of the expression ∫(y2+1)dy/(y2+4) is that the indefinite integration of y2+1 is to be…

Q: If x* + y* – xy+z – 3z = 1, then dz %3D a) None of these b)금 (423-y) c) y-4x3-4y3+x 2z-3 d) y-4x3…

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Q: If z = 3x2 – 2y3, x = 1+ s²t and y = 33 – t2, then dz %3D O a) 6x(1+ s²)+ 12ty O b) 6s²x – 12ty - c)…

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Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: 3 For V- , evaluate y' when y= 4. A) -4 B) 4 (c) -2 D) 2

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Q: 1) Let 1 = f²f²e-³x-2y dydx. Then / = e-12-26-41 b. +2e-*- 3 d. None of the above

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Q: iv) if zy = (x)-1 then zg+Zy = b.x+y c.-z2(x+y) d.z²(x- y) a.x-y

A: Partial derivatives

Q: 1) Let T C d 02 = 2a + (-2) b + 3c+2d 1a + 2b + (-1) c + (-1) d (94]. [-2a +(-2) b +2c +3d i) T H…

A: We will use given definition to find the solution.

Q: dx бх3 + 2x2 + Зх dx = Q(x)/x² + 1+ a Vx2 + 1 Vx² + 1 What is the value of Q(1).1

A: The given integral is: I=∫6x3+2x2+3xx2+1 dx

Q: 4. Solve for x : a) V5x +1 = æ + 1 b) a = V3x +7 – 3 c) V2x – 3 – Va – 2 = 1

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Q: 1) slz) = 3 -3 A) Yes B) No

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

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Q: 4) y = v4 - 2x +5 5) y = v3x + 2 - 1 6)y = V2x + 7

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Q: (8) To evaluate f √√x²-49 x -.dx we substitute x = A)7 sec8 B) 7sine C) 7tane D) 7cose

A: We need to fin the substitution for 'x' to evaluate the integral: ∫x2-49xdx

Q: 25) Which notation describes the translation of the sailboat B(70, 20) to the lighthouse B'(10, 80)…

A: Given: B70,20, B'10,80 For reaching from point B to point B', we have to use operation x,y⇒x-60,…

Q: 19 a) Edur 1+2r 1 b) (1 +25), | E dr

A: We will solve  the integration.

Q: 5х Calculate: dx (x² + 5)² 5 + C x2 + 5 a) O- + C 4 x2 + 20 b) + C c) 4 (x² + 5)² + C 2 x2 + 10 d) 1…

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Q: If = x - 4x +1 and y(3) = 8, find y. 2.

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Q: If f f(x) dx 2 and g(x) dr 5 what is 2f(x) +g(x) dæ? 0 4 O 11 13 0 7

A: Let ∫abf(x)dx=m and ∫abg(x)dx=n then ∫ab[af(x)+bg(x)]dx=am+bn

Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: 12. Solve for x. a) 를x-3=x+ 2 b) 쓰= c) (x +1) = (x – 3) x+5 2x-1 3 d) -5(x + 1) – 2(x + 1) = 3(2x –…

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Q: 18. Define I(a, b) = ª exp(-a²u²_b²u^²) du for a, b>0. Show that (a) 1(a, b) = a¹1(1, ab), (c) 1(a,…

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Q: @ f=ytanh(x)

A: Please upload questions with multiple subparts separately.

Q: Need c) only use product rule 3. Differentiate. a) M(u) = (1– 4u²)(u+2) b) g(x)= (-x+ 3)(x- 10) c)…

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Q: 3. Find the value of y when x = 0. a) y= 3x - 1 b) y= -0.5x + 2 c) y= 2x = 3(0) – 1 = -1 =-O.5LO)+a=…

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Q: Q3/ Evaluate grad d, If In(x+y+2).

A: GIVEN: ϕ = ln x2 + y2 + z2