PART A: Well-Formed Formulas? Which of the following are well- EXERCISE 9.1 formed formulas (WFFS)? Which are not? 1. (x)Ax 19. (x)((Fx v Gx)→ Hx) 20. (Q• (Rg v (x)Ex)) 21. (3x)Ba * 10. (3z) (Sx • Rz) 2. (x)(Ax) 11. (Ju)Gu 3. ~(3y)By 12. (w)(~Dw) 4. (a)Ca 13. (P • (x)Fx) 22. (z)M 23. (3y)Gx 24. (3x)(3x)Fx 5. (z)~Tz 14. (x)Gx (x)Nx) 6. (~x)Hx 7. ~(x)~Jx 15. (y) (My → ~Oy) * 25. (y)(3x)Sxy 16. ~b 17. (y)(Hy v (3y)Fy) 18. (y)Ry v (3z)~Sz) 8. Cx 9. (z)P~z

Q: 4x2-5x+2 i. S 3x2

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: 50 (e*-2)(e2x + 1) et dx

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Q: = qCxwid xpxsav{" Tuls कछ कि = गई {of}- htধ = {ई} द { (x+2)qx c) Step 3

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Q: 4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? a. 9x² – 4x – 12 b. (2x)(3) C. 6x d. (x…

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

Q: X'=x+²* 21 -3 6. t -3 -4 2x e

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Q: f(x) = 3x² + 5x -6 find f'(x) 6x-6 O 3x-5 O 6x +5 none of these ansswers

A: The given function fx=3x2+5x-6. We have to find f'x.

Q: Find the values of x and y - SX+(s+6) Y=1 ....... (3-s) X-2sY = -8 ...... (1) (2)

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Q: 1/4 (x*-x Q 10. -dx is equal to 3/4 5/4 (a) 15 +C +C 4 (c) 15 S/4 1 +C (d) none of these

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Q: xample 12. (a) Show that e >1+ z for z > 0. (b) Deduce that *21+z+ for 20

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Q: 16 2){-1 ls(s² + 4)²,

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Q: 3s 4) F (s) = s2+2s-8

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

Q: ax? +b given f (x) and f' (0) = -4, what is the value of " bx+a

A: first we find f'(x) . see 2nd step.

Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

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Q: x/2 – x) · (e*² + x) dx = et + C 3

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Q: h(t) if h(x) = 9x9 - 4x4 + 3x - 2

A: Given:- hx=9x9-4x4+3x-2 To find:- ht

Q: TRY !!! (HOMEWORK) 1/4 YP S (23/3 + 1/√4x³ - 11/11 + 4 × 5) dx уз 3√x

A: Step 1: Step 2: Step 3: Step 4:

Q: If u(x) = x3, then du = 3x2.

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Q: r3/2 30 x/2x +1 dx is The exact value of (A) 94 (В) 128 (С) 92 (D) 66 (E) 108 (F) None of (A) - (E).

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Q: The velocity, in feet per second, of a rocket t sec into vertical flight is given by v(t) = –3t² +…

A: To find an expression h(t) that gives the rockets altitude in feet,t seconds after liftoff.

Q: 19 Suppose that Ts (x) centered at 2 for f(x) is gien by. Is (X=3+5Cx-2)+8(x-2)²+2G-2)°+(x-2) (3)…

A: T5(x) centered at 2 for f(x) is given by,T5(x)=3+5(x-2)+8(x-2)2+2(x-2)3+(x-2)5

Q: Using simplex method whot is the entering variat

A: Given,          Max.(Z)=12x1+16x2 Subject to            10x1+20x2≤120                8x1+8x2≤80…

Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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Q: answer

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Q: Product Rule d d ƒ ( x ) g (x) + dx d f dx g ( x ) ƒ(x) dx ·g 3 + 2 х + 5 3x" - 8х + 1 7 8 х Ex.2) /…

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Q: Find the derivative of: – 5x – 2x4 – 8x - d (– 5x8 – 2x4 – 8x – dx - 2) = - Question Help: D Video B…

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