Find the volume of the region below the surface z = 4x+6y over the rectangle R = [1, 4] ×[2, 3].

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Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

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A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

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Q: (a) y = x Differentiate the following functions, giving your answer in a similar form, without…

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Q: 3. (a) Evaluate lim 818 3x¹ - 4x² + 7x - 1 -7x4+x³+4 (b) Determine the equation of horizontal…

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Q: da 14 a non data egio max.: ontrassegna anda Precedente The solutions of the inequality e O x+1 (A)…

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Q: below

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Q: Find all complex z that solve the equation z^12 = −1. Which of these solutions also solve z^4 = −1?

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Q: 2. Use integration in polar coordinates in order to compute the double integral zy³ dA, where D is…

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Q: log7 (x + 2) + log7 (x - 4) = 1

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Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. 114 O C. 24 3 2√x +C 23 --x² + C 3 O b. O d.…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: a) Sketch a graph for the polynomial function. You must include all key features of polynomial…

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Q: If lim f(x) exists and fis not continuous X + b at b, what does b equal? 0 2 3 -1 إذا كانت (lim f(x…

A: Given graph:-

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Q: Solve for the particular solution of the given IVP: Oy=In(3/(2+e^(-x^2))) Oy=In((2+e^(-x^2))/3)…

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Q: Let w(x, y, z) = x² + y² + z² where x = sin(2t), y = cos( - 7t), z = e-8t. dw dt dx dy dz & dt dt dt…

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Q: Which of the following represents the series: −13+(-7) + (-1) + 5+11 Σ -19-6K k=0 5 Σ -19+ σκ k=1 Σ…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x) = (2+4x)…

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Q: If f(x) = = f'(x) = 5x² tan r sec x Find f'(5)= " find

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Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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Q: Please

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Q: Sec (30) (08300 8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned…

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Q: The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 8, shifted to the…

A: Recall y=cf(x)  stretch the graph of y=f(x) vertically  by  a factor  Cy=f(x-c)   shifted  the graph…

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Q: Suppose that 43 of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: 3. A sample of paraffin wax is being heated in a laboratory. The tem- perature of the paraffin is…

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Q: Using the mathematical expression of the definition of the derivative, as you learned find the…

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Q: 4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The…

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Q: A student takes out a college loan of $7000 at an annual percentage rate of 3%, compounded monthly…

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Q: " x² cos(3x) dx find u, v and then find the answer.

A: Given query is to  find the integral.

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 72 and P =…

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Q: What point on the parabola y = 4 - x² is closest to the point (4,4)? The point on the parabola y = 4…

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