Guven f(2)= e and gSin(xt i) f)- e3x² and g Sun(xt 1) find flgez) and g(f(2)

Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…

A: The function is the mathematical expression that tells the relationship between one variable and…

Q: 3. If dt , find g'(2). 5. g(x) =

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Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

A: a)  Number of substitutes  =  20*0.8 + 2  =  18     Hence,  Money paid by LHS for substitutes  =…

Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

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Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

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Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: F(x)=2x^3 and g(x)=-3x^2 +1, Find a)(fog)(1) b)(gof)(-1) c)(fof)(2) d)(gog)(-2)

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Q: Suppose g'(x)=sec^2(x) and g(0) = 0. What is g(x)?

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Q: 1 Vx-5 Q Find the domain of y = |x-31 lx+5| x2-25

A: The given function is: y=1x-3-1x+5+x-5x2-25

Q: kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

A:

Q: 0st<3 -t, 4. Find the convolution of f(t)={2' 0, otherwise 4, -1<t<3 and g(t)=- |0, otherwise…

A: Given:-            ft and gt                 = f×g = ∫-∞∞f t - τgτdτ.…

Q: (x -1, if 0 < x < 1 2x f(x) = |x – 3| , g(x) = -4 Vx, h(x) = %3D , if

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Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: he population density of a city is given by P(x,y)= -20x²-20y +440x + 280y+200, where x and y are…

A: solution is given below

Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: Example: Find the PDE, which has a general solution ø(→,2) = x x =0, where is an arbitrary function…

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Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A: Let's find maximum potential revenue fruit.

Q: 3) Ar) = VF g(x) = V-(r + 2) – 3 4) Ax) = VF g(x) = - Vx + 3 5) Ar) = Vx g(x) = -2 Vx - 1 6) Ax) =…

A: We have to find translation

Q: 1. f(x) = 3x² – 12x + 1 at the point (0, 1) 2. f(x) = x² + 1 at the point (0,1) 3. f(x) = x² – 2x +…

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Q: g(x) = 27x2 - x3 concave upward (-x , g) concave downward (g , x)

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Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

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Q: A manufacturing company produces two models of an HDTV per week, x units of model A and y units of…

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Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: I need help with number 21

A:

Q: 2. Let f(x) = 16x 4x and g(x) = 18x + 3. Solve for x when f(x) = g(x)

A: We will solve for x when f(x)=g(x)  in the following step.

Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

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Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: (b), f(x) = In (x² – 4)

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

Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

A:

Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 &amp; the line tangent to y=gx at x=5 is y=6x-27. Put x=3…

Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point…

A: Since there are more than one question, only one question can be answered. The function is given by,…

Q: sgn (x + 3) if - x2 +9 - Vx² – 9 x 3

A: To solve the following problem

Q: Find all points of discontinuity. g(x) = | x +3, if x>2 !! 8x, if x<2

A: Consider the provided function, g(x)=x2+3,   if x&gt;28x,        if x&lt;2 Find all the points of…

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

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Q: Compute f(x)dx 2x if x <1 4 if x21 f(x) =

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Q: II. find (f qJlx) गंला f(x)=x²+2 and and its

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Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2

A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…

Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…