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Q: 2x+5 Differentiate: y =

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Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

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Q: QI/ Evaluate: 1-S(y3" + y2n + y")(2y2" + 3 y" + 6)i dy.

A: Proceed as shown below...

Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve the Gmoar Equation System, Find 1,X2,X3. X(+Xz-2 X3 =17 X2- X3 =2 C Carcansy ile tardndı

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Q: (v^2 + 7v + 6) (2v -12) =0 What is v?

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Q: ?w Əv у Find when u = 0, v=0 if w=x² + ₁ x=6u-2v + 1₁ y=u+4v - 1.

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Q: Show that x +2 and oe) = *+6

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Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: If f is continuous at (0, 0) and f(0,0) = 10, then lim f(x, y) = 10. (z,y)-(0,0)

A: A function f(x,y) is said to be continuous at a point (a,b), If it satisfies the following f(a,b)…

Q: +タ x2 – 1

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Q: then find x²°u +2x)y əxəy If u = (x – y)f(y/x), a2u then find x2 dx2 a2u + 2xy дхду

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Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: 3 then Fdt is If F=(3t^2+4t)i+ (2t-5) j+4t^3 k 42i-j+80k I O 42i + 2j-80k .II O 421-21+80k.I O

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Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

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Q: Differentiate 4(x + 2y)2 = x2 + y2

A: given equation 4(x + 2y)2 = x2 + y2

Q: Xxy-Z = Gauss eleminatin %3D 2X -y42=5 -x +2y+23 or

A: We have to solve given problem:

Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

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Q: If m^3 divides v^2, then m divides v

A: Let, m3 divides v2        now, m2 divides m3 and m3 divides v2        =&gt; m2 divides v2…

Q: Evaluate (521 + 3z2)

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Q: 2 Ⓒz² = x² + y² 2

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Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

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Q: What meaning can be attached to this cross product: r the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

A: The cross product of two vectors A→ and B→ is given by; |A→×B→|=|A→|×|B→|×sin θ And the cross…

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: form y = mx + b that repres

A: From given graph it is clear that

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 =&gt; fx(3,2) = 66

Q: Find -3ay dA Over the D ewith daianguler region Verteies (0,0) 2, 0), 0,4) 8- 9. 8. -16 d 68 -68 16

A: From the given problem the bounded region is shown as below: Now find the equation of the line AB:…