Differentiate. 1a) p(x) = 4th root of (2x-3/x^3) b) q(x)= (2 sinx)/(1-cosx) c)r(x)= sin(csc^3(x^4)) d) U(x)=...

Differentiate.

1a) p(x) = 4th root of (2x-3/x^3)

b) q(x)= (2 sinx)/(1-cosx)

c)r(x)= sin(csc^3(x^4))

d) U(x)= ((cube root of x^2) sinx -2x-3)/sq. rt. x

Expert Solution

milcah answered 2 years ago

a) U = xy b) U = (xy)^1/3 c) U = min(x,y/2) d) U = 2x...

a) U = xy b) U = (xy)^1/3 c) U = min(x,y/2) d) U = 2x + 3y e) U = x^2 y^2 + xy 4. All functions except c) are differentiable. Do these functions exhibit diminishing marginal utility? Are their Marshallian demands downward sloping? What can you infer about the necessity of diminishing marginal utility for downward- sloping demands?

1. Differentiate the following functions A. y=ln(x+sqrt(x^2 -1)) B. y=ln(sinx) C. y=xlnx-x D. y=e^x(sinx)

Differentiate the following: 1) f(x) = √2x-4. (all under square root) 2) f(x) = x/5-x 3)...

Differentiate the following: 1) f(x) = √2x-4. (all under square root) 2) f(x) = x/5-x 3) y=cos(4x^3) 4) f(x)=tan(x^2) 5) f(x)= 3e^2x cos(2x) 6) y= sin2x/cosx 7) y= √sin(cosx) (all under the square root)

Prove that the set R ={ a+ b√2+c√3+d√6 , a,b,c,d belongs to Q } is a...

Prove that the set R ={ a+ b√2+c√3+d√6 , a,b,c,d belongs to Q } is a field

Let α ∈ C be a root of x^2 + x + 1 ∈ Q[x]. For...

Let α ∈ C be a root of x^2 + x + 1 ∈ Q[x]. For γ = 3 + 2α ∈ Q(α), find γ^ −1 as an element of Q(α). Let a = 3 + 2(2^(1/3)) + 4^(1/3) and b = 1 + 5(4)^(1/3) belong to Q( 2^(1/3)). Calculate a · b and a −1 as elements of Q( 2^(1/3)).

Q. Let A, B independent events, with P(A) = 1/2 and P(B) = 2/3. Now C...

Q.3 Consider the function f(x) = x^2– 2x + 4 on the interval [-2, 2] with...

Q.3 Consider the function f(x) = x^2– 2x + 4 on the interval [-2, 2] with h = 0.25. Write the MATLAB function file to find the first derivatives in the entire interval by all three methods i.e., forward, backward, and centered finite difference approximations.

Solve for x x^4 + 2x^3 + 2x^2 + 3x + 1 = 0

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 points P and Q. These points are also two points of tangency for the two tangent lines drawn from point A(2,9) upon the parobala. The graph of the cubic function has a y-intercept at (0,-1) and an x intercept at (-4,0). What is the standard equation of the tangent line AP.

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 points P and Q. These points are also two points of tangency for the two tangent lines drawn from point A(2,9) upon the parobala. The graph of the cubic function has a y-intercept at (0,-1) and an x intercept at (-4,0). What is the value of the coefficient "b" in the equation of the given cubic function.

Question

Differentiate. 1a) p(x) = 4th root of (2x-3/x^3) b) q(x)= (2 sinx)/(1-cosx) c)r(x)= sin(csc^3(x^4)) d) U(x)=...

Solutions

Expert Solution

Related Solutions

a) U = xy b) U = (xy)^1/3 c) U = min(x,y/2) d) U = 2x...

1. Differentiate the following functions A. y=ln(x+sqrt(x^2 -1)) B. y=ln(sinx) C. y=xlnx-x D. y=e^x(sinx)

Differentiate the following: 1) f(x) = √2x-4. (all under square root) 2) f(x) = x/5-x 3)...

Prove that the set R ={ a+ b√2+c√3+d√6 , a,b,c,d belongs to Q } is a...

Let α ∈ C be a root of x^2 + x + 1 ∈ Q[x]. For...

Q. Let A, B independent events, with P(A) = 1/2 and P(B) = 2/3. Now C...

Q.3 Consider the function f(x) = x^2– 2x + 4 on the interval [-2, 2] with...

Solve for x x^4 + 2x^3 + 2x^2 + 3x + 1 = 0

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...