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A: gradf =∇f =i∂∂x+j∂∂y+k∂∂zf .
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A: NOTE: Refresh your page if you can't see any equations. . compare this vector field with so here…
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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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A: We will solve.
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A: We have to find the determinant.
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A: Solution of given question is written in below steps.
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A: If u and v are orthogonal then u•v = 0 if u and v are parallel then u • v = | u | •| v |
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A: We have to multiply the two matrices then find the value of a.
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A: Here is the solution:
Q: Lect one: True False
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Q: 8. Graph the curve and find the area that it enclosed: r = 2 cos(0).
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Q: Reverse the order of integration in order to calculate the following integral: 2 1+x4 0 dx dy.
A: We can evaluate the given integral by using the integral formulas.
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A: use the cross product of the vect0r.
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Q: (b) Determine whether the alternating series converges or diverges by using the alternating series…
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Q: Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) [ Find all critical points of f. b) Find the…
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Q: Find the derivative. F'(x) if F(x) = (ex5+1) 8 ='(x)= ***
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A: This question is based on double integration.
Q: 10. Find a Maclaurin series which represents cos(x) for every real number around the point a = 0.
A: As we know the Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+fiva4!x-a4..... Where…
Q: F(x, y, z) = yzi + xzj + xyk (a) C₁: r₁(t) = ti + 3j+ tk, 0≤ t ≤9 (b) C₂: r₂(t) = t²i + tj + t²k, 0≤…
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Q: Evaluate I = √³/ 1-2i 2 (2Z+3) dz Ans 17+191 along the path x=2t+²₂ y=4t²_t_2 F ostsi
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Q: Let R be the region bounded by y = 2x, y = 3 and - x = 0. Sketch the region R and evaluate the…
A: Solution is given below:
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