S(7x³-5 √√x + 18 √x x3 + x−40 ) dx

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A: Given :Definite integral

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Q: Find the total differential. z = x cos(y) - y cos(x) dz = (No Response)

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A: In this question we have to find the following given parts in the question.

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A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

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A: Here, the given parametric equation is: x=1-t2, y=2t-t2, -1≤t≤2

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A: In this question we have to Integrate using the method of trigonometric substitution.

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A: using the partial derivative,

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Q: x) = = ph f and T3 on the same screen. y 2+ -1.0 -1.0 -0.5 -0.5 1 -1 -2 -3 y 2+ 2 1 -1 -2 -3 0.5 0.5…

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Q: S ³+3 dz

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Q: 14. Σ(-1), Inn n! n=1

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A: Here we have to find the partial derivative.

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Q: Use a sum or difference identity to find the exact value of the expression. 7π 12 sin

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Q: onsider the following. w=x^2/y ,  x=t^2 ,  y=t+1 ,  t=3 (a) Find d2w/dt2 using the appropriate…

A: Given :w=x2yx=t2  y=t+1t=3

Q: Calculate the double integral. 16 9(1+x²) 1+ y² dA, R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 1}

A: Please see the below picture for detailed solution.

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

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Q: + 2x)² 4x +2

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Q: The figure to the right shows four regions bounded by the graph of y=xsin x: R₁, R₂, R3, and R4,…

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Q: Find and simplify the function values. f(x, y, z)=√x+y+z

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Q: b. Stan ³0 sec²0 do

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A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

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Q: Use the divergence theorem to evaluate ]] F .dɔ̃ where F = xyi – ¹⁄y²j+zk and the surface consists…

A: Here, the surface consists of the three surface z=4-3x2-3y2; 1≤z≤4 on the top x2+y2=1, 0≤z≤1 and z=0…

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A: Given: Now, the velocity will be           v(t)=<∫2t, ∫3, ∫et>      =<t2+c1, 3t+c2,…

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Q: d.) s 2x+3 x243x-1 dx

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Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

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