Conservative. F Such F(X,Y)= that IF it is F=VE. Conservative, find a (-Y + ex sin (v)) î (-Y + e* Sin (v)) Î + ((x+2) e* cos(y)) Ĵ Function

Q: Let f (x) = 6 sinh 1(tan(x) , O < x < 5. Find the slope of the line tangent to the graph of f at the…

A: Given: Here, we need to find the tangent line to the graph of f at the point on its graph where…

Q: (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then f'(x) = (c) ƒ(x) = F(x,x): then ƒ'(x) = (d)…

A: Total derivative of function z = f(x, y) is given as dz=∂z∂xdx+∂z∂ydy We are allow to solve first 3…

Q: The line y =x+1 is the tangent line to the graph of the function O (A) f(x) = x³+1 at the point (1,…

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Q: . Differentiate the function using product rule. f(x) = e*(e* + sin x + x²)

A: Given : fx = exex+sinx+x2

Q: Determine if the function f(x)= is continuous -- sin(x) x on the interval I= (0,1).

A:

Q: Differentiate the function. 8 + sin(t) f(t) cos(t) (a) f'(t) = Find f'(T). (b) f'(1) =

A: a:Here, f(t) =(8+sin(t))/cos(t)The derivative of f(t) is calculated as follows:

Q: Consider the function f(r) whose second derivative is f(z)- 8z+10 sin(r). If/@)- 4 and f'0)-4, what…

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Q: Obtain the conjugate harmonic of the function by first demonstrating that it is harmonic…

A: To obtain the conjugate harmonic function and verify that the given function is harmonic, we need to…

Q: sec" xtan y 4. For the function fS(x)-tanx, show that f*+y)-J69"-tanx tan y 5. For the function…

A: We use basic formula here, sin(x+y) = sinx cosy + cosx siny And Tan(x+y) = Tanx+ Tany/(1-Tanx.Tany)

Q: Discuss the difference between harmonic and conjugate harmonic function. Also find the analytic…

A: The given problem is to discuss the difference between harmonic and conjugate harmonic function and…

Q: x₁ - 2x2x3 + 3x4 -2x1 +4x2 + 5x3 - 5x4 3x1 - 3x2 - x3 + 4x4 X1 + X2 - 3x3 - X4 = - = 0 3 2 -2

A: Given system of equations are

Q: Consider R2 with the unusual inner product (x, y) defined by: a P (8).(:))= = 2ap-aq-bp+2bq ((G)·())…

A: It is given that, the inner product x, y on ℝ2 defined by  ab, pq = 2ap-aq-bp+2bq We have to answer…

Q: Show that - if W= cos (メ+y)+ Sin(メ-y) Wメメ Wyy ニ

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer…

A: The given functions, 1. y=tanx6 2. y=x5+9 3. y=e7x We have to write the functions in composite form…

Q: ifferentate: f(x) = COSX 1+sin x Apply the quotient ru

A: Topic:- application of derivatives

Q: Which one of the following functions is not entire function? O (A) f(z) = e (cos 2ry +i sin 2ry). O…

A: solution of the given problem is below...

Q: What is the range of f(r) = cos(x)? i) [–1, 1] ii) [0, 1] iii) (-∞, ∞) O i O i

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Q: The principal part for a) 5 b) 2 for xo of f(x) = 2 + 5+ sinx with respect to ↓

A: Given that .Let .We need to find the principal part of f(x) with respect to g(x) as x→0.We will use…

Q: 1-x The equation of the tangent line for y = at (- 2, – 3) is 1+X

A: AS PER GUIDELINES I CAN ATTEMPT ONLY FIRST QUESTION

Q: Let f(x) = sin(rx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+…

A: Given that fx = sinπx . Also given that h and k are two functions such that h'x = cosπx , k'x = fx+1…

Q: Consider the function f(x) = cos¯'. a State the domain of f(x). (Hint: Think about it rather than…

A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO ANSWER ONLY 3 SUB PARTS OF A QUESTION. KINDLY…

Q: x2 - 2x + 3, x<0 cos를+2. + 2, COS Evaluate f'(-2) and 4.

A: It is given that,       fx=34x2-2x+3 , x&lt;0cosx2+2 , x≥0 Evaluate f'(-2).