(d) F:x→y is ameasura ble Runctio: let (x,A) is ameasurable s pace & (y, ß)is a mensuruble s pace Then f is amea surable function Coufine that) 2 ?

Q: /v – 2ve" - 29. f(v)

A: Differentiation

Q: y 800 400 20 40 60

A: Given: Graph is given.    ∆y = (400-200)= 200     ∆x = (50-40) 10

Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: (a) Write the equation in slope-intercept form, and determine the slope and y-intercept. (b) Graph…

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Q: az əz If z= f(x,y), where x = (s+1) , y = (s- t). Then Əs at

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Q: at the point

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Q: The acceleration of a particle is defined by the relation a = A – 6f, where A is a constant. At t =…

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Q: Find the maximum rate of change of the function f(x, y) = 5y5 at the point (2,4) (Round the answer…

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Q: If f is concave up, then f' is (choose one): (a) increasing. (b) decreasing.

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Q: 4: (1 zero? s) In what directions is the derivative of f(x,y) = (x-y)/(x² + y²) at P(1, 1) equal to

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Q: Solve the following differential equations. Express the solution of the given initial value problem…

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Q: Pron a. If u = f(x, y), where r = e' cost, and y = e' sint, show that (3)³ + (3) ² - - ² [(-)* +…

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Q: 1. Given f(x, y) = x' + y* find and ax?' dy' axðy дудх 2. Find whether the function F = (r² – y' )i…

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Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: f(x,y) af ?x af ду = af ду X 2x² + 8y² f(x, y) = tan af ?x (5)

A:

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: The derivative of f(x,y)=9xY at (e,1) in the direction of v=(4,3) is !!

A: TO FIND THE DERIVATIVE i.e DIRECTIONAL DERIVATIVE IN DIRECTION OF V= (4,3) at (e,1) STEPS 1. FIRST…

Q: Q4) r(x, y) = xs -x/ay2 Does the function is harmonic

A: We know that a function in two variable is called harmonic if it satisfies the Laplace equation…

Q: Given: /(x, y) = 3x² – 2y² at (-÷.0) in the direction from P (–.0) to Q(0,1). What is the…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: It y is a twice differentiable function and xcosyt y cosx =C, find y"(0)

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Q: f(x.y) = x³y – . Calculate Se af and əx ду

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Q: F(t) = A ₁² +B+³ 2 3 t

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Q: 8. What is the derivative of y= Vu in terms of x? dy a) 2/y dulas b) 2vu d) 2/u

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Q: If ƒ (t) = (t² + 4t + 3) (4t² + 6), find ƒ'(t). f(t) =

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Q: Q2) Find the derivative of f(x)(Hint: use the fundamental theorem of calculus -part f(x)= | 1+2x t…

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Q: Find f'(-1) if tæ) - [1- -1). (x-1). %3D O a) -1 O b) -2 O d) o

A: We have to find f'(-1) if f(x)=1-1xx-1.

Q: f(x)= x' -9x² +15x – 7 what is the tangent line slope which is drawn at the inflection point of…

A: The given function is f(x)=x3-9x2+15x-7

Q: Estimate f(5.03) for f as in the figure. y=f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

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