1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i - 5j + (siny)k E. i+yk + (siny)k F. (cos y)i + yj + 2k G. i+siny-k H. None of the above VXF =

Q: пр 4. STIS df x²s 5. Evaluat

A: I=∫0π3  x2 sin3x dxIntegration by parts;u=x2, v=sin 3xI=x2∫sin3x dx-∫(2x ∫sin3x dx)  dxI=-x2…

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A: To evaluate the values of given integrals.

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A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

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A:

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A: r1(t)=cos(t)i+sin(t)j+5tk,r2(t)=4i+tk,r1(t).r2(t)=(cos(t)i+sin(t)j+5tk)(4i+tk)r1(t).r2(t)=4cos(t)+5t…

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A:

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A:

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A:

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A:

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A:

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A: Solution is given below:

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A: To determine how many different 8‐digit phone numbers do not contain the digit 6. Assume that any…

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A: Given ∫cos42t dt=At-Bsin2tcos2t+Dsin4tcos4t+C To Find 2A-3BD

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A:

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A:

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A:

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A: If the roots of the auxiliary equation are complex α±iβ , then the complementary function is…

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A:

Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…

A:

Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

A:

Q: 5-10 Find the area under the curve y = f(x) over the stated interval. 5. f(x) = x³; [2, 3] 7. f(x) =…

A: Area

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A:

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A:

Q: Find all Max., Min., Saddle point for the functions below: P(x) = 2xy-5x²-29² + 4x +49-4

A:

Q: 19. -π/2 21. -π/4 23. [³5e* dx sin 0 de cos x dx sec² 0 do (2x secx tan x) dx 20. rπ/3 22. 24. [¹-dx

A:

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A:

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A: This question can be solved using the concept of limits.

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A:

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A: Given: limx→ -11+1x32x2+x-1

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A:

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A:

Q: if any. Find the absolute extremum point(s) of f(x) = el-cost on [-, π],

A:

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A:

Q: if any. Find the absolute extremum point (s) of f(x) = el-cost on [-, π],

A: Given data÷

Q: 1 8x 16-x², dx

A: We can explain the answer for you in the following steps.

Q: Let f(x) = 31² - 20x + 25 2x² + 12 - 1 This function has: 1) A y-intercept at the point 2)…

A: Given that    f(x) = (3x2-20x+25)/(2x2+1x-1)

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A:

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A:

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A:

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A:

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A:

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A:

Q: rπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

A: To evaluate the given definite integral.

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A:

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A:

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A: we have to find curvature.

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: Given: : Saxasin(2x)dx = - ㅠ (A) 3 Зп B 4 c D E 2 3 4 277²-24 64 5T Find bif sbst

A: Let's find.