State the possibI 1) f(x) = 3x + xr- 3x - 1 %3D

Q: The local linear approximation for f (x) = Vx2 + 16 near x = -3 is

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Q: Find f(x) by solving the initial value problem s'(x) = 4x2-5, f(0) = -3 %3D

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Q: Find the critical points of the function f(x)=2x^2−4x.

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Q: 1) F(x) = Vx+5 %3D x2-16 2x-8 2) h(x) = Vx2-15x+56

A: The domain of a function is the set of values which can be input into a function without the…

Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation…

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Q: 15. f(x) = x +10x + 25x Zero Multiplicity Effect

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Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

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Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: Q No. 2 Discuss the differentiability of ƒ(x) = (x – 3)' at x = 3 by using definition and…

A: the given function is: f(x)=x-323 we have to discuss the differentiability of the given function at…

Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

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Q: Evaluate: x/9x2 + 4 (A f (x) = -4 ln V9x2 + 4 + 2 +C f (x) = - In 4 V9x2 + 4 + 2 + C 3x © f (x) = -2…

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Q: 4. Evaluate only one of x'dx a) f (x² +4)

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Q: 38. f(x) = x² at x = -1 %3D

A: Solution Question 38 Given, The curve  fx=x2 We have to find the equation of the tangent at point x…

Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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Q: Find [f(x) + 5g(x)]dx if 6. f(x)dx = 4 and g(x)dx = -5. juo 6. f(x) + 5g(x)]dx -3

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Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for…

A: Given: ƒ(x) = (4 + 3x)1/3

Q: 7. Let f(x)=64x² ln (2x) −16x¹. Findƒ(e)-f(€) 2

A: NOTE: Refresh your page if you can't see any equations. . take x=e

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: Solve the problem

Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

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Q: The critical point for the function ƒ(x)= x² – 3x is

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Q: 1. Test z = x + 5xy + 10y? + 8x - 40y for maxima and minima.

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Q: From Variation of parameters for the 2 -1 X' X + e 3 -2

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Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: y = 3 – 2x + x?

A: In this question, we need to find the critical points and test for maxima/minima of y=3-2x+x2.

Q: If 0.3 is added to 0.2 times the quantity x − 3, the result is 2.5. What is thevalue of x?

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Q: 29. f(x) = (x* + 1)-2 %3D

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Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: The critical values of f ( x ) = x 2 e − x 2 are?

A: Given, f(x) = x2e-x2      Critical point of function is a value of X in domain of function at which…

Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: (b), f(x) = In (x² – 4)

A: Since you are asking only for b. Here is your answer.

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

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Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: The degree of f(x) is v and the leading coefficient is There are real zeros and relative extreme…

A: To Determine :-  Degree of fx Leading coefficient  Number of real zeroes Number of relative extreme…

Q: Find f'(x). f(x) = In x +3 eX – 4x² %3D

A: f(x)=lnx+3ex-4x2Differentiate with respect to xf'(x)=ddx(lnx+3ex-4x2)=1x+3ex-(4×2)x=1x+3ex-8x

Q: can you prove E(x^2) = Var(x)+[E(x)]^2 ?

A: Variance:The expected squared difference between a random variable and the mean can be termed as…

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1

Q: 47. f(x) = (x- 2) %3D 50. f(x) = -x + 4x %3D

A: Concept Used: Degree Leading coefficient End Behavior Even Positive Even Negative Odd…