Ql: If f(s,t) = s²t+ In(t² – s) find the value of a) atas Q2: For the following function prove that ax2 a2f a2f %3D ay2 f (x, y) = e-2y cos 2x Q3: if w = f(u, v), u = x + y, v = x - y 清型-()- ) aw aw Prove that %3D ax ay ду ди.

Q: C6. If FCX) =3x-4,43 li find F'(xland f"(x)

A: We need to find the first & 2nd derivative of the given function

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A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

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Q: Find the length of the curve 7(t) = (4t, In(t), 4t²) for 1 <t< 4 Add Work Submit Question

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t?j…

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Q: dv 4.)Prove that f -Incosv + Insinv + C sinvcosv

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Q: Let F(x) = You also know that a = 10, f(a) = 2, f'(a) = 15, f'(aª) = 11 f(x*) and G(x) = (f(x))“ .…

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Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 17) E Wik…

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Q: a. 0 =-45 → graph type = b. r= 8-8cos0 graph type = facing up/down/left/right? loop length = c. r=…

A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…

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A: Topic = Coordinate geometry Correct option = A

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Q: 7) For each set of parametric equations, eliminate the parameter and find a corresponding…

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Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A: Given query is to find the amount needed to pain to the wall.

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Q: Question 21 (-1 )dr In (z + a+ 1) + v3 sin In ( + + 1)-3 tan O 2 In(z +a + 1)-V3 sin () 2 lu(r i…

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Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

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A: To find the area.

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Q: 7. SavT – 1 dr 8. | (x) Væ² – 1 dx 1 dx 5x +1 9. dx 10. 3x + 9 4x – 6 dx (x – 1) (x – 2) 11.

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Q: 10. By trigonometric substitution, we can transform dx into x*V4 - x2 A. Ssi'e sin ede В. 1 1 С. 32J…

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Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

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Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives