-3r 10 f(x) : r2--20 C, r= 5 What value of C would make f(x) continuous at r 5?

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A: We will use basic knowledge of the functions of several variable theory to answer this question.  We…

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Q: Find the function y(x) satisfying dx2 = 12 - 12x, y'(0) = 5, and y(0) = 8. ay = 12- 12x, y'(0) = 5,…

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Q: Q3) If f(z) is analytic function and u(x, y) = x3 – 3xy find f(z)

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Q: Suppose that f: R→R is a differentiable function, satisfying f(4)=2 and | f(x) dæ=5. What is the 4.…

A: Integration by parts ∫uv'=uv-∫u'v

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Q: 3. Consider the function f(2, y) = x° + 7a? + 2æy + y? – 19r – 4y + 1. Find all critical points of f…

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Q: 4: Find the approximate value of f(-2.001, 1.002) where f(x, y) 3x?y + y? – xy +1

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Q: 3x2 Given that F(x) = In t dt, what is F'(x)? 3x 4 + t2 ||

A: Given, Fx = ∫3x3x2lnt4+t2dt  We have to find F'x.

Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

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Q: | xf(x2) dx. If f is continuous and f(x) dx = 4, find

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Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

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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…

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Q: -2? + 15z - 27 f(z) = 3z2 + 7z + 6 C, I= 3 What value of C would make f(x) continuous at z = 3?

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Q: Q2: Find ôf ôf - for the function f(x, y, z) = x²y+ y° + xz² and Əx 'dy

A: We will find out the required values.

Q: d) The function +(xy)-r*r2y) exp G 18xy is homogencous in of degree X and

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Q: tis the value of f at the point (-1,1)? :When x=-1 and y=1, we have z=1.)

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Q: Why is ƒ not a function from R to R if f(x)= ½? b. f(x)= Jx ? c. f(x)=±/(x² +1)? а.

A: Why is f not a function from R to R if,  a) f(x)=1xb) f(x)=xc) f(x)=±x2+1

Q: If f(1)   =12 , f' is continuous, and ∫14 f'(x) dx  =17 ,what is the value of f(4) ?

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: Q3) prove that: fa+¹h f(x).dx h 2h 4h - = 3 [ƒ (a) + f(a + 4h)] + f(a+2h) + [f(a+h) + f(a + 3h)] 3 3

A: Introduction: Numerical integration is a word utilized in evaluation to explain a set of strategies…

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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: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: The function 5· x. y g(x, y) -20 · y + 2· x + 6 is continuous everywhere on R? except on a line I in…

A: The given function is: g(x,y)=5xy-20y+2x+6...(1)

Q: O Caloulat 2nd hounene f(x)= sT こ>×ラ0 2. う2×23 With flx)> f(x+3n) Yne 忍

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Q: If f(1) = 13, f' is continuous, and F'(x) dx = 18, what is the value of f(6)?

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Q: For what value of the constant c is the function f continuous on the interval (-oo, oo). Sz² - 9, 8z…

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Q: 2 ,xs2 f(x) dx, where f(x) is denoted by f(x)={ 3x , x>2

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Q: For the function y = f(x) = 5x -8: %3D df at x = -2. dx a. Find f'(- 2) = 52

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Q: 2R then the constants R TCX If f(x) Rsin .2 S,f' and f(x)dx and S are respectively.

A: Introduction :Here we have asked to find the value of R and S

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Q: If f(1) = 11, f' is continuous, and f(3) = f '(x) dx = 18, what is the value of f(3)?

A: Given

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Q: Find all values of x and y such that fx = 0 and fy = 0 simultaneously. 13. f(x,y) = e*»+y?

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Q: 0If z-x"f), show that xZ+JZy=mZ.

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Q: 4 F2x) dx. f(x) dx = 9, find If f is continuous and 0

A: Given,

Q: Suppose that f: R→R is a differentiable function, satisfying f(3)=5 and f(x) dx=8. 3 /x-s'(x) dx?…

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