Consider the following consumer function: соnsumption, В, + Bzlncome, + u, uz = Income, Vi v ~ (0, o²) • Show that Var[ uz | Income, ] = o? Income,

Q: Consider the following consumer function: сonsumption, %3D В1 + Bzlncomе, + и, u = Income, vị vi (0,…

A: Given: consumptiont=β1+β2Incomet+utut=Incomet vtvt ~ (0,σ2)

Q: 8. Integrate the function tabulated in the following table using the Trapezoid Rule. Ax) Rx) 1.6…

A: The trapezoidal rule approximates the integral using trapezoids:…

Q: Find the Wronskian for the set of functions.{x, e−x, ex}

A: Find the Wronskian for the set of functions.

Q: Every continuous function on a, b\, that has absolute extrema on endpoints, must have one .(a, b)…

A: b. False Consider a continuous function f (x) on [a, b], that has absolute extrema on the endpoints.…

Q: In x y = 1+ In x

A: I have written the formula used , here f'(x) and g'(x) are derivative of f(x) and g(x)…

Q: Which of the following decomp inside function) is/are correct ?

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Q: Find the Wronskian for the set of functions.{1, x, ex}

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Q: Find Lebesque integrae of function segment (-4,0) On f(x) = Txen X+4 O a. 12*41/3/5 O b. 3*41/3/5 O…

A: In R if a function is integral the lebesgue and Riemann gives same value

Q: Define a weakly quasi-concave on a Cobb-Douglas Function

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Q: Describe the long run behavior of f(z) = z" As z + - 00, f(z) - As z + 0, f(z) → ( -0-

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Q: Show that the functionf (x ,y)=xy³onD: x|<2, ]y|<oodoes not satisfies Lipschitz condition.

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Q: Let f and g represent differentiable functions such that f ″ ≠ 0 and g″ ≠ 0.

A: Concavity of a function can be determined using the second derivative of the function. If the second…

Q: show steps please

A:

Q: Verify Cauchy's MVT for f(x) and f'(x) in [4,9] where f(x) = Vx %3D

A: Cauchy's MVT : If two functions f(x) and g(x) are continues on [a, b] and differentiable on (a, b),…

Q: Let F (x) = %3D In tdt then F' (x) = et3

A: To find F'(t)

Q: Analyze the following function for the necessary and sufficient conditions of Schwarz's theorem. ху…

A: f(x,y)=xyx2+y2 fx(x,y) =x2+y2 y -xy2xx2+y2 (x2+y2 )2           =x2y+y2y -2x2y(x2+y2 )3…

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Q: Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy if…

A: Here we have to determine whether the given function is continuous or not.

Q: The composite function f(g(x)) consists of an inner function g and an outer function f. If an…

A: The integrand function appears in the integration, hence integration helps to find the answer to the…

Q: (2) Are all entire functions differentiable on D?

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Q: Let f be a function defined on R satisfying If(z) - f(y)| < 히 - J), V,yER. a. Show that f is a…

A: Given that f be a function defined on ℝ satisfying…

Q: Every continous function on [a,b] that has absolute extrema on endpoint must have one critical…

A: Given query is to find given statement is true or false.

Q: YDiscuss the integrabilty of the function f(x) = on [0,7).

A: We need to find the integrability of the function and find the integral of it.

Q: . Suppose that f (x, y, z) is a function with the following properties: f (5, 2, 10) = 8, fx(5,2,10)…

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Q: Show that the function f defined by (r, y) = (1, –1) (r, y) # (1, –1) f(r, y) = 1² + y is not…

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Q: The composite function ƒ(g(x)) consists of an inner function gand an outer function ƒ. If an…

A: An integrand includes fgx, where g is the inner function and f is the outer function of the…

Q: Differentiate the function.

A: Given f(u)=u1+lnu Now,differentiate function f(x) w.r.t to 'u'…

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = x2 + y (x, y) # (1, –1) x +y is…

A:

Q: show that F(X<1|Y<y) + P(X <1) for some z, y.

A: dependent events:  Two or more events are said to be dependent if occurrence of one affects the…

Q: Let f(x) = 6 – x j'(z) = Preview

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Q: Is the cobb-douglas function strictly concave when a1 +a2 <1 when

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Q: Let f(x) = vV72 – x and g(x) = x² – x. Give the domain of f o gusing interval notation.

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Q: Use linear approximation to estimate f(4.9) given that f(5) = 2 and f'(5) = 6.

A:

Q: Use the Second Fundamental Theorem of Calculus to find F '(x) F(x) |Vt4 + 1 dt -7

A: 2nd Fundamental Theorem : For F(x)=∫axf(t) dt, if f is continues on [a, x], then F'(x)=f(x).

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

A:

Q: Show that the function f defined by 1, f(r, y) = { r2 + y (x, y) = (1, –1) (x, y) # (1, –1) is not…

A: We have to show that  f(x, y)  is not continuous at  (1, -1)

Q: The domain of the function g(t) = vt – 6 is O R-{6} O R O [6, 0) O (6, 0) O (-∞, –6)

A: for the domain of g(t)  The term of square root should be non negative

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

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Q: Differentiate the function.

A: Given function -f(u) = lnu1+ln(2u)Differentiating with respect to u - f'(u) = ddulnu1+ln2uf'(u) =…

Q: 4|x| – 3 pour x 1, x² – 4 f2(x) + V2 + x², || ||

A: Given that, f1x=4x-3x≤1-3xx2-4x&gt;1f2x=1+2+x2 To determine set of points which they are derivable…

Q: The domain of the function g(t) = vt – 5 is O R-{5} O R O (5, O [5, 0) о (-оо, —5) (5, 00)

A: From the given function: gt=t-5

Q: If f is continous on [0,1) ,then f has absolute minimum on(0,1) True or false?

A: Extreme value theorem says that, if a function is continous on a closed interval [b, a] , then it…

Q: Let f be a function of multiplicity 5 at P. Then at P, u(x) = has multiplicity: f(x) f(x)'

A: Let, then has form of, Now, differentiating the above equation we get,

Q: Use : f(z)-L im $(Z+Az)-f(z) AZ to Prave that -1 when w- I Zキ0

A: Here definition of derivative is given in terms of limit. We have to find the derivative of the…

Q: Let H be the hemisphere x2 + y2 + z2 = 50, z ≥ 0,and suppose f is acontinuous function withf (3,4,…

A: Let H be the hemisphere x2 + y2 + z2 = 50, z ≥ 0,and suppose f is acontinuous function with f (3,4,…

Q: The antiderivative of a given function is unique. true or false

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Q: Estimate the global maximum value for the function F on the interval [-2,1] if F(x)= || dt . t2 +1

A: The given function is: F(x)=∫-2x tt2+1 dt

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

A:

Q: Analyze the following function for the necessary and sufficient conditions of Schwarz's theorem. (x,…

A: Schwarz's theorem states that for a function f:D→ℝ is defined on set D⊂ℝn, if (x0,y0) is a point…