Calculate M6 for f(x) = V5x over [4, 7]. (Use decimal notation. Give your answer to two decimal places.) M6 -

Q: Find the convolution f (t ) *g(t) f(t)=t,g(t)=1

A: By definition of convolution we have

Q: Let f(x)=7x+7 and j(x)-7/(x+5) Find j((f6)). Round to two decimal places as needed,

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Q: Calculate M6 for f(x) = v6x over [3, 6]. (Use decimal notation. Give your answer to two decimal…

A: The function isf(x)=6x over [3,6].The number of sub-intervals is n=6.

Q: Consider the function f(x) = 2x10 + 7x° – 6x² – 9. Enter the antiderivative of f(x) -

A: To find The anti derivative of f(x).

Q: Calculate M6 for f(x) = v7x over [3,6]. (Use decimal notation. Give your answer to two decimal…

A: The function is fx=7x over 3, 6. The number of sub-intervals is n = 6. Obtain the step-size as…

Q: The antiderivative of the function 6 f(x) = .1+ 11æ³ is. %3D 2

A: The function is given by fx = 62·1+11x3 To evaluate : The antiderivative of the function

Q: c. Use antidifferentiation to find f (x).

A: Since, we have asked for solving part-(c) only.Since here it is given that f'(x)=x2 ln x -(i)Here…

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A: To determine : an approximate solution of the equation               z3+3xyz2-5x2y2z+14=0 for z near…

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Q: dy from t dx n for y as a function of x, and find two results are consistent by expressing the (a)…

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Q: Calculate L6 for f(x) = v6x + I over [1,3]. %3D (Give your answer to three decimal places.) L6 =

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Q: Determine the linear approximation of f(x) = x' at x = 1. а. у3 9х +8 O b. Not in the list О с. у--…

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

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A: To find Linear approximation

Q: Find the linear approximation of the function f(x) = Vx+3 at a = 1 and use it to approximate the…

A: Given the function fx=x+3. Find the linear approximation of f(x) at a=1 and use it to approximate…

Q: Calculate M6 for f(x) = v3x over [4,7]. %3D (Use decimal notation. Give your answer to two decimal…

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Q: Find the family of antiderivatives for the function, f(x) = 8 12x. Which of these pass through the…

A: To find the family of antiderivatives for f(x) integrate f(x) with respect to x.

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

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: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

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Q: a. Find linearization of f(x) = Vx +1 at x = 7. b. Using your answer above, estimate V8.1.

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Q: Calculate M6 for f(x) = v3x over [2, 5]. (Use decimal notation. Give your answer to two decimal…

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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…

Q: For the function f(x) - 2r + 3z - ka + 2, where f passes through the point (1, – 2), what is the…

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Q: + The f(x) = Vx – 2 defined at (-0,2] T F

A: Given: fx=x-2 A real valued function is said to be defined in an interval I, if fx∈ℝ, ∀x∈I. Now if…

Q: Consider the function f(a) = 7x° + 5x° - 5x 3. Enter the antiderivative of f(x)

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Q: Find the linear approximation of the function f(x) = v9+x at xo = 0, and use it to approximate v8.9…

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Q: For the function f(x,y,z) = 3 + xy5 - 5z4, find fx , fy , and fz.

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Q: - Find F-T: for the functions -at e t70 1at tco e

A: We have to use integral formula.

Q: Find the linear approximation to f(x) = 1 and then use that to approximate close to 1.003 1 1.003

A: Given: The function fx=1x To find: The linear approximation to fx=1x close to 11.003, then…

Q: Consider the function f(r) 10r 10 + 9x° 2x2 6. Enter an antiderivative of f(x). Do not enter +c as…

A: Solve for the antiderivative

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…

Q: Find the critical points of the function. 4 f(x,y) = 5+76xy +38x² +240y + 4

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Q: Calculate L6 for f(x) = v7x + 2 over [1,3]. (Give your answer to three decimal places.) L6 =

A: I am going to solve the given problem by suing some simple calculus to get the required result.

Q: For the function f(x,y) = -6x² + 4xy – 6y + 8x + 8y + 5, find and classify all critical points.

A: we have to find and classify all critical points

Q: Compute the convolution f(t) * g(t) for f(t) = e-3, g(t) = 2t.

A:

Q: Calculate M6 for f(x) = V6x over [2, 5]. (Use decimal notation. Give your answer to two decimal…

A: If the interval [2, 5] is divided into 6 intervals, then each interval has length: ∆x=5-26=36=0.5

Q: If you know f(t) = L-'{F(s)}, how would you fine L-{F(8)/s² j?

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Q: 5. Find the antiderivative of the function and check your answer by differentiating. f(x) = 9x +…

A: 5. We need to evaluate the antiderivative of the following function fx = 9x+15x-2

Q: Consider the function f(x) = 7x° + 9x° – 9 - 9. Enter the antiderivative of f(x) + C

A: T

Q: of the function. + 3y + 11

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: f(x)=Vx+10 X-4 Damain af flxt Donain of fle(x)) =

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Q: The antiderivative of the function f(2) +7z is

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Q: t f ex) =J3x find the difference Quatient of f-

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Q: The antiderivative of the function f(x) = .3+9x is

A: find the anti derivative (integral) of fx=56 .3+9x3

Q: Find the G.S. about xo = 0 for: (x² + 4)y" + xy = x + 2

A:

Q: (b) Find the Linearization of the function: f(x)= Vx at a= 27 and use it to approximate the number…

A: Let the function is f(x)=x3 Let a = 27   Formula: Linearization of the function f(x) at x = a…