h(x) 2 0 100 80- 60 40 20- 1 2 3 4 5 6 20- -804 -100 120 -140- -160- -180- -200- 8 $ 8

Q: f"(1) = 4 - 6/1* f(1) = 6, f'(2) = 9, 1>0

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Q: 5. f(x) =-2 x-1 6. f(x) = 2 7. f(x) = x² + 3

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Q: Estimate f ' (1) and f ' (2)

A: To find the derivative of a function at a point, draw a straight line tangent to the curve of the…

Q: 3) f(x) = 2(x + 2)3 – 2 10 21 10 -8 -6 -4 -2 2 4 -2 6 8 10 -4 -6 -8 -10 4.

A: We have to construct the transformation from the parent function.   NOTE :: As per our guidelines we…

Q: f"(x)=6x +1/x^2, f'(1)=4, f(1)=2

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Q: -10 f(x) = -8 -6 Equation, inequality, interval notation 2x - 3, x<-2, [-2,3) 8 1 113 x + 4, -2 1…

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Q: 1 = (3, -2, f(t)= -0.1+ ≤ t ≤ 0.1- 0.1+ ≤ t ≤ 0.4

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Q: Determine which viewing rectangle produces the most appropriate graph of the function.

A: Viewing rectangle is that portion of graph which is visible when a particular area of graph is…

Q: 10 1x +3|, -5 2 y 5- 4+ 3. 4 3 -2 -1 2. 3 4 5 5- 2. 1. 1 1. 2.

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Q: b. -5,-4,1; f(x) = (x+5)(x+4)(x-1) c. 4,3,-1; f(x) = (x-4)(x-3)(x+1) d. -4,-3,1; f(x) =…

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Q: 6- 4 2 -* 6 $ 4 3 -3- -5- { -4 if x E f(x) : { -2 if x E { 5 if x E

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Q: 1.0 0.5 g -2 -1 1 2 h -0.5

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Q: In Problems 63–70, (a) graph each function. (b) Determine the domain and the range of the function.…

A: Given function is: fx=x2-2x-15 The domain and range of this function f is ℝ, the set of all real…

Q: y 3 2 1 - 6 -5 +4 -3 -2 -1 1 2 3 4 5 6 y = f\x) -4 1. 2. 3.

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Q: 2-5. -1sx<0 3x, 0<x<1 4, f(x)= x=1 - 2x +5, 1<x<2 3. x=2 1, 2<x<3

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Q: Discuss the continuity of the function.

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Q: 구 4- 2 -5 -4 -3 -2 -1 I 2 3 4 5 -21 -4 -7 -8- f(x) = %3D 45 3.

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Q: I know the answer is D. can you help me learn by showing how it is D

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Q: f(x) -1.0• 0.8- h(x) 0.6 0.4 |0.3나 0.4- 0.2+ 0.2- 0.1+ ++++►x 0.4 0.8 -0.4 -0.5 0.5 +

A: The graph of two convolution function is:

Q: f(x) = (x -5)' =(x-5)(x-5)(x-5) -5 x^2 -5x (x^2-10x+25)(x-5) -5 -5х 25 x^2 -10x 25 -5 3.

A: Factor problem....

Q: In Exercises 1–4, use graphing software to determine which of the given viewing windows displays the…

A: 1) This function fits most appropriately in [-5,5] by [-25,15]…

Q: f(x)=x' +2x°-i5X 3 60 40 20 -8 -6 -2 4 -20 -40 19 2.

A: Graph of cubic polynomial

Q: X1 Xi + 2x3 , X1, X2, x3 ER – 4.x2 T: R³ → R², T x2 X3 - x3 ||

A: So first we prove that the given transformation is linear

Q: x)=3/x-1 x −2 −1 0 1 2 3 4 ​f(x)=3/x-1

A: Given : F(x) = 3 / x-1

Q: 2х + 1 5. f(x) = Зх + 4 6. х — ху + у- %3 3 7. ( х+2)3 х — 3 | ||

A:

Q: f(2) = {; -1, -n<x < 0, 1, 0 <x< n

A: In this question, we find the Fourier series for the given periodic function. and also we need to…

Q: Min z= X1 3x2 + 3x3 s.t. 3x1 - X2+ 2 x3 -12 -4x1 + 3x2 + 8x3 0

A: Problem is Min Z =     x1 - 3 x2 + 3 x3 subject to   3 x1 -   x2 + 2 x3 ≤ 7…

Q: 3. h(x) = -2x³ + 5x² + 4x° – 3x + 12x? - 4 !! f (x) f(x) →_ as x → -00 as x → +00

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

Q: (0) + ]) (²) 500+ ( [ (x)500 = (T) = = ()UIS = (x + 2)UIS (x) = (x+

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Q: f(x) = 1- (x - 1), xs2 lx-2, x > 2 y y 10 10 5 -10 -5 10 - 10 -5 10 -5 -5 - 10 -10 y y 10 10 5 - 10…

A: Topic - functions and their graph

Q: y4–2x2 y4+x² , 0, if (x, y) + (0, 0) if (x, y) = (0,0) f(x, y):

A: The function will be continuous at a point if the value of the limit of the function at that point…

Q: y 4 3 2 -6 -5 +4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y = f\x) -4 1.

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Q: At what points are the functions continuous?

A: Given function is For ,  which is defined for every x such that Therefore, f(x) is continuous for…

Q: (i) f(x) = x³ – x² - 8x + 1 on [-2, 2]. (ii) f(x) = x³ + x + 1 (iii) f(x) on [-1, 1]. = 3x* – 8x³ +…

A: Please see the below picture for detailed solution.

Q: Domain (r) 2 4 1. Range (y) 5 8 9 -7 Domain (r) 1 13 9 0 2. Range (y) 11 8 2 Domain () 2 3 9 -1 3.…

A: According to the guidelines I need to answer only first three parts still I have solved first four…

Q: 8. f(x, y) = (x³ + (y/2))²/3 10. f(x, y) = x/(x² + y²)

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Q: ² -9, x 3 3. f(x) = {2-x, -2 2

A: 2. Given, The function f(x)=x2-9,    x&lt;33,            x=39-x2,     x&gt;3 Clearly function is…

Q: 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2) = 6 3. F'(x) = 3x² + 2 ; F(-3) = -32 4. F'(x) = 4x³…

A: Apply integration both side with respect to x

Q: 20) h(0) : 21) h(-1) = 22) h(2.6) =, 23) h(x) = 45.8 x = 24) h-1(. 23) = %3D

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Q: f(x)=4x-3, g(x)=x+4, (f+g)(x)=

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Q: g1 (x) -2 11 -1 8 1 -1 g1 (x) -2 -11 -1 -8 0. -5 1. -2 1 5, 2. 2.

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Q: -1 -2 < x < -1, -1 < x < 0, 0 < x < 1, 1 <x < 2. f(x) = 1

A: Given that f(x)=-1,       -2&lt;x&lt;-10,        -1&lt;x&lt;01,       0&lt;x&lt;10,…

Q: 1. 2 1. 1-f -1 1-f 3-f f^2+f-2 f^2-1 4 3 f+3 2-f f-3 4+2f 2f f f^4+f^3 f^3+f

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Q: 5- y= g(x) 4- 3+ 2+ 1- 4 5 6 7 8 9 10 I1 12

A: topic-functions domain is the values of x for which function is defined range is the values obtained…

Q: Min z = 5x1 + 2x2 2x1 + 5x2 2 10 4x1 - X2 2 12 Xi + X2 2 4 X1, X2 2 0 s.t.

A: plot the inequalities on the graph .  First plot 2x1+5x2≥10 by changing into equality

Q: match the geometric sequence withits graph. [The graphs are labeled (a), (b), (c), and (d).] an =…

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Q: =618-616.3752+660-616.3752+......+582-616.37528-1=30.56 Please show me in details

A: 618 660 638 625 571 598 639 582

Q: 0. -2 5S-1, (f) /() す。 1sく2.

A: (f) Given function is fx=0,  −2≤x&lt;−1x,  −1≤x&lt;10,  1≤x&lt;2. We have to find the Fourie series…

Q: х2 + 6х + 8 х -2 х+3

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.