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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: %3D %3D dz Find at (2, -2, 1) if x + y? +z2 = 6xz+6yz+21 = 5 =D1

A: Given equation : x2+y2+z2=6xz+6yz+21

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Q: Find a,b and c so that the quadrature formula has the highest degree of precision f(x)dx = af (0) –…

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Q: Evaluate fx and fy at the given point. f(x, y) = e¹³y sin(x), (π, 0) fx(π, 0) = (No Response) fy(π,…

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Q: Q.1B) If w = f(u,v) where u = tan-12 & v = In(x² + y²), the show that: %3D dw aw aw X +y 2- ax ду dv

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Q: At time t hours a company is selling items at a rate of r(1) items per hour. 10 Interpret the…

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Q: Q2: Expand f(x, y) = [sin (x y³)]? about , 1). Q3: Given T(u) = sin (u), where u = /x2 + y?, find…

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Q: dz where c is |z=1 z'e? Evaluate

A: ∮ f(z) dz = 0 when no any singularity lies within region of integration. But if any singularity lies…

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Q: ® Use Craumoy's rule to solre fhe following linear syslems: rele to solve al fxy=0 8? S x+2y-2 = 0…

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Q: Find. all.Second.parkia.devevatives:.. a. fcx,y.).n(3 x+5y)...b,uze sint C.Z=ytan2x

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Q: The range of f(x,y) = 2 - x2 + 4y² is : O [0,2] O xy-plane Joo+7] O

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Q: 3 d The integral dxcan be rewritten as f f (u) du by making the substitution u = 4 2³ 4x³ + 3. o…

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Q: Find a,b and c so that the quadrature formula has the highest degree of precision | f(x)dx af (0) –…

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Q: f 20f * f af If V²f(r,0) Find f(r,0) such that r dr v²S(r,0) = 0

A: Given:                          ∇2fr,θ=∂2f∂r2+2r∂f∂r+∂2f∂θ2-∂f∂θ To do:…

Q: hnd the absolut max and min funcion fx,y)=(48x-lax²)cos L ón the rectangular Plate 1と×-3,-sys IT 4…

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Q: C. Reduction OF Order and Variation oF Parame ters (o* +4) y- 1. tan 2x

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Q: Let f (x,y) = 9e2*y what is fryx (x, y) =? %3D Select one: Oa. 36xye2*y + 72xy?e2*y b. 72ye2xy…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: