Use the given transformation to evaluate the integral. J (15x+10y) dA, where R is the parallelogram with vertices (-3, 12), (3, -12), (5, -10), and (-1, 14); x = —— (u + v), y = —— (v - 4u)

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Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

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Q: 5) Find the divergence of (√x² + + z ²) kî + yî + zk)

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Q: dx + 7) Evaluate Sexy² vertices (0, 0), (2, 2) and (2,0) 2x²ydy where C is the triangle with

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Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

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Q: ector v is shown in the graph. -10 6 (-5, 12) 00 15 6 4 7 3 N O v = (-5, 12); ||v|| = 13 T 13 لمه 12…

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Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

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Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

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Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

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Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

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Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: Consider the parametric equations below. x=3t-2, y = 2t+4 (a) Sketch the curve by using the…

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Q: 13) y = [X²+2x-1'; dy = ? A) X+ Xt y B) 4y (x+1) (XH) (x²+2x-1) 3/2 D) - () ㅗ 2\x²2x-1

A: Question number 13 solved

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A: Given query is to find indicated derivative.

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A: The given function is:T(s)=6s-4es-5

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Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x-2) (x - 1)(x + 2) dx || y = X > 2

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Q: Given that ƒ(x) = x² − 8x and g(x) = x + 5, find: a) (fog)( − 1)= b) (gof)( − 1)=

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Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

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Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

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Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

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Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

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Q: Evaluate the indefinite integral. f7 sin³ (2) sin³ (x) cos(x) dx = J + C

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Q: 11) If the Taylor series of a function has the general expression xn f(x) = En=on! The corresponding…

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Q: Find the area of the shaded region. Ay 121- 99- 77- 55- 33- 11- y=121-x² -33- -55- -77- -99- -121- X…

A: To find the area of the shaded region.

Q: 5) Given f(2) = 3, f'(2) = | of H(x) = f'(x), thun H'(3) squale, 새ㅎ B) ㅎ 엊 미ㅊ E) |

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Q: Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

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