For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

Q: 4 For which values of a e R is the function f(x + iy) = (a²x – axy)+ i ax? + ay an entire function?

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Q: How many independent variables does the function r(t) = ⟨ƒ(t), g(t), h(t)⟩ have?

A: Given that the functions f, g, and h, all depend on t. t is independent So there is only one…

Q: If F(x) is an antiderivative of x2 + x', then what is the value of F(1) - F(-1)? A) -1 в) з c) o

A: We will find the value.

Q: Find the formula 1 [ f(x) dx = w₁f (0) + w₁f (1) that is exact for all functions of the form f(x) =…

A: Solution :-

Q: Use e – 6 definition and show that the function 4x² – y? if (r, y) # (1, –2) 2r + y f (r, y) = • 4,…

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Q: 出w-2 Verify that Wメy Wyx for the functions's T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

A: Since you have posted multiple question at a time as per guidelines we can solve only one question…

Q: 3) Let f(x) represent the path of a particle. x* 1 f(x) =+ x 2 1 16 2x2 Suppose the particle starts…

A: The arc length = the distance covered along the curved path f(x).  A = the arc length  A =…

Q: For what vaļue of x does the function g(x) =x - 2x? strictly convex? В. x> 0 A. x> 2 D. x -2

A: From the given problem:   gx=13x3-2x2   As we know that:   If f''(x)<0. then function strictly…

Q: Match the graphs A, B, and C shown with the functions ƒ(x), ƒ'(x), and integral

A: Given : The graphs of f(x) , f '(x) and Anti derivative of f(x)

Q: If we did a linear approximation of f(x) = = Vx around a = 4 we would find that f(1) is…

A: Given query is to find the linear approximation at a = 4 and x = 1.

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27 L(x) =

A: The linearization of the function fx at x=a is Lx=fa+f'ax-a

Q: d f'(a) for the function f(x) = 3x-2. swer: f'(a) =

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Q: Find the value of C such that the fnction Continubus on (-00,00) Cx +1 for XS 2 f(x)= r4x+I-3 for…

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Q: 25. For y = f(x) = x2 - 3, x = 5, and Ax = 0.1, find Ay and f'(x) Ax. %3D

A: Given: fx=x2-3 ,x=5 and ∆x=0.1

Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

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Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? O -2 O -1

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Q: Given the function: f(x,y, z) = x°y2² + æy° +y°z Find а. fazy: (x, y, z) b. fazyz(1, –1, 1) -

A: Given the function :  f(x,y,z) = x3y5z7 + xy2 + y3z

Q: (a) If e19z f (2) = z10 + 49 at how many points the function f (z)is discontinuous ?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: the impermissible value of x for the function y = 1 / (e ^ 2x-1) is: a) 1 b) 0 c) 1 d) e

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Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

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Q: Please show step-by-step solution!

A: According to chain rule the derivative of the f(g(x)) is [f(g(x))]’=f’(g(x)) * g’(x)

Q: Find numbers a and b such that the given functiong is differentiable at 1. |ax³ - 3x if x 1 a = b =

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Q: of Find and for the following function. f(x,y) = e Y In (3y)

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Q: Let a + 0 be a constant. Give an example of a function y = f(x) for which ay – y' = 0 and g?y – y" =…

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Q: of af For the function f(x.y)= 7x-9y- 3, find and dy

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Q: Find the function f(x) and all values of c such that

A: To find the function f(x) and all values of c such that∫cxf(t)dt=x2+x-2

Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

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Q: If we use trapezoidal rule for a function f(x) = x +2 1 - , then the approximate of J f(x)dx is…

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Q: For what value of x does the function g(x) =--x³ + 2x? strictly concave downward? А. x> 2 В. х>1 С.…

A: Use the property of strictly concave downward i.e.g"(x) <0.

Q: Find a functionf and a real number a such that e + S¨ f(t)dt = x*e* а

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Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

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Q: Find h'(2), given h(x) = f(g(x)), f(u) = u² – 1, g(2) = 3, and g'(2) = –1. ||

A: According to the problem, we get

Q: 1. For what value of x does the function g(x) --x + 2x strictly concave downward? %3D 3. B. x > 1 A.…

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Q: Given a function y² z f(w, x, y, z) = 2(w + 1)²x - xe² + W which of the following is not part of the…

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Q: 3. Consider the following function: z = f(x, y) = e²+24 (3x – y)

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Q: For y=f(x)=x²-2x+7, find dy and Ay, given x=4 and Ax= -0.2. dy=(Type (Type an integer or a decimal.)

A: Use formula and put value

Q: This function f(z)=(x^3-3xy^2)+i(3x^2 y-y^3) is differentiable O True False

A: Given :f(z)=x3-3xy2+i3x2y-y3

Q: Find domain and range of the function f(x, y) = In[ e – x² – y°]

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Q: e function f m (0,0) to

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Q: Give an example of a linear function f(x)= mx + b, with m,b ±0 and an interval a<xsc where f(x)dx=0…

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Q: (b) If 38 10z f (2) = (2** + 6) e then at how many points the function f (z) is not differentiable?

A: f is every where differentiable, there are no points such that the function f(z) is not…

Q: of the functions f(t) = e² implified.

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Q: 5 Given that y is a function of x, differentiate the expression (x + y) with respect to x. Enter D…

A: The objective of the question is determine the derivative of the given function.

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: The function y=C, e° is the general solution of a) O y"– 2 y' – 3 y = 0 b) O y" +2 y' – 3 y= 0 O y"…

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Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: This function f(x + iy) = (x2 +x - y²) + i(2xy + y) is differentiable ? False O True

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Q: of find and of For the function f(x,y) = x+ 8y ду

A: Function given is- f(x,y)=6x+8y To find- ∂f∂x and ∂f∂y ∂f∂x=Partial derivative with respect to  x…

Q: Find a function g = g(t) such that %3D s +3 L(g) = s2 – 2s + 5 -

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