Q4 ) Find only the limits of integration of the following z = 4 - y 16 z 16- x-y x* +y = 9 -y x D y = 2V7 y = 4x -2 r= 2 sin 0 A- [f 16- x* -y* ) dx dy rdrd0 SSS fir,0,2) dz r dr dộ R (-1-) (-2-) (-3-)

Q: dx 1)y /sec(3x) 2) y = Vu + 2u , x= u? - 3u

A: Definition used -            Chain rule of derivative -                             ddx(f(g(x))=…

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: ay or dx. 2x + y = 7x - 6 to find y a)

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: y = 7Rx) O y = f(x - 7) Oy = f(x) + 7 O y = f(x) - 7 fix)

A: To stretch or shrink graph of function by factor of .....

Q: x3 dx (x – 1)5 y = Select one:

A: First evaluate the integral by substitute method. Then apply the limits of integral.

Q: Find V· (V × F), if F(x, y, z) = 3e**i+3xe'j – 3e²k. - V·(V × F)

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Q: Assume that F= (e^x−y)i+ (2y−x)j, C1 is curve from (0,1) to (2,5) along the graph of y=x^2+ 1, and…

A: Given , F=ex-yi^+ (2y-x)j^ C1 is a curve from (0,1) to (2,5) along the parabola y=x2+1 C2 is a line…

Q: Determine the dependent variable independent variable type pde/ode order degree linearity

A: Given a differential equation yy'''+2x=tanx. Given differential can be written as yd3ydx3+2x=tanx.…

Q: Calculate Vf when f 3x z-y7+ 4x'y+ 2x - 3y-5 at the point (1, 1, 0).

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Q: Find f(-1,1,0) f(x,y,z)=(2xy-y^2+z)/(x^2+3xy+z)

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Q: Find V x (V x F) If F(z,y.2) 10ryj+5zyzk. V x (V x F)

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Q: 4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz əz (B)If Z…

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Q: An object is traveling along the line y = 2x + 1 heading up and to the right. If the temperature at…

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Q: Find the partial derivative at point(u,v)=(-4,0) of w=ln(xa+yb+za),x=uevsin u y=uevcos u, z=uev,…

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Q: If F(x,y,z)=sin(x³y²)+cos (Vxy2)+x®y²z, then fyz(1,-2,1)=

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Q: Find the partial derivative of fy for the function 3 f (1, y) = (3x² +y²)* 6 (3æ² + y°)? 32 (3x² +…

A: To find: The partial derivative fy of fx,y=3x2+y23. Given: The function is fx,y=3x2+y23. Concept…

Q: Find domain and vange f (2y)- し、 (x'+ゴ) ) fCz, y) = Sin" (y-z) Ž (3,y)- tan

A: According to the question,  We need to specify the domain and range of the given function: (A) f(x,…

Q: Determine the two-variable function F(x, y) if Fy (x, y) = y sin(xy) + x given that x^2 + πχ2 F(x₁ -…

A: Given That: Partial derivative of a function with respect to y is Fy(x,y)=ysin(πxy)+x with the…

Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

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Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: If f =x-e" and F=x'yi-2y'zj + xy'z'k, find: div(F x grad(yf )) at (4,1,-2)

A: The function                     Then, we have to find

Q: A) Integrate f(x, y) = xy^2 over the square bounded with endpoints at (0, 0), (0, 1), (1, 0) and (1,…

A:

Q: Let F(x , y , z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of…

A: If a function is a function of more than one independent variable then the derivative of this…

Q: 2. At what points of R² is the function continuous? (sin(x² + y²) x² + y² f(x, y) = 0, -, if (x, y)…

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Q: xye-(2²+v°+z*). Find all points (x, y, z) such that Vf(x,y, z) : Question 2. Consider the function…

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Q: what local linearizatoin of the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1)  (show all steps…

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Q: (a) [10pts| y' = (x2 – 4)(3y + 2), y >0 dy 3y+2 = dx (x-4) » yt=ce >y=ce -en lyt > en cyt=) =…

A: Follow 2nd step.

Q: Consider the function F whose criterion is = / dt. 1+ t2 F(x) sena When determining dF/dx the result…

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Q: Consider the following function: H(x, y) 7x'y +-21x'y Find the linear approximation of H(x, y)…

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Q: Integrate: [ z²(4x³ – 4) ªdx + C

A: We need to find out the integration.

Q: Let F(x, y, z) = x³yz² – 6x?yz + 9xz – 5y°z. Find F %3D xyz Fxyz

A: