Find the work done by F over the curve in the direction of F = 2xyi + 2yj-yzk r(t) = ti+t²j+ tk, 0≤t≤1 Work = (Type an integer or a simplified fraction.)

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A: To find f"(t) we integrate f"'(t)

Q: 3x + 5x #2. R(x)= 일 때 R'(0)을 %3D 1+3x° + 6x° + 9x°

A:

Q: Consider the function f(x, y) = 3x²+y²-5 x²-2y A. Find and sketch the domain of f. B. Find and…

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Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

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Q: dz 2 = -ry", where r = st“ and y = –st". Compute – as a function of s and t only evaluate this when…

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Q: Let ƒ(x) = 2x3 - 6x2 + 4x. Use Newton’s method to find x1given that x0 = 1.4. Use the graph of ƒ…

A: Consider the following function: fx=2x3-6x2+4x Differentiate the above function with respect to x:…

Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: Find the analytic function if the imaginary part is (2xy + 5y) where u (0,0) = 0

A:

Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

Q: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.

Q: fex)= J4-x +2

A: The function is given by f(x) = 4-x + 2 To evaluate : The graph of the function f(x)

Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.

Q: Consider the function y -62 Which of the following statements is true for y? = ze Oy" = 36y…

A: Given,

Q: Sketch the following functions -2. x² + y² + 2y + 1+ 2+ z = 0 -3. z² = x² - 4y² 4. z = -x² - y² - 1

A: We need to standardized equations to get type of surface they represent and then draw it

Q: Let f (x) = vx² – 2x + 2 + Vx² – 6x + 13. Find the point(s) on the graph of f at which the tangent…

A: See the handwritten solution