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Q: Aresident in a paticular cty pays a water bil of $4.48 per month plus $213 per 1000 galions of water…

A: Let the total number of thousand gallons of water is used will be x. so, the usage fee for x…

Q: 49. f(x) = alst %3D n=0 Selet ai 50. f(x) = 2 (-1)+1(x – 5)n n5" n=1 * (- 1)n+1(x – 1)"+1

A: f'(x)=∑n=1∞ (-1)n+1n(x-5)n-1n5n      =∑n=1∞ (-1)n+1(x-5)n-15n Apply the ratio test to check the…

Q: True or False. Show your proof. X[n,0) → 0 in L'(R)

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Q: O Find the intervals where f (x)= x -x* is increasing/ decreasing and concave up /down.

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Q: se R’s “pbinom()” function to verify Chebyshev’s inequality for k=2 and k=3 when X follows…

A: Given that, X follows Binomial distribution with parameters n=30 and p=0.2. Mean of Binomial…

Q: f(x) = x^2/3 show that there is no number c in interval (-1,8) that satisfies f’(c)=…

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Q: 13. Find the end behavior for f(x) =x- 2 A. x- +0, f(x) - +o x--o, f(x) → - B. x +o, f(x) - +0 x--o,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the values of a and b that make f continuous everywhere. f(x) =      x2 − 4/x-2        if x < 2…

A: We need to find the value of a and b for which the function is continuous everywhere.

Q: 1 (5)F(s) = s - 1 +1) S

A: 5) So, B=2. Hence,

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: Find L-1. by convolutions. l(s-1)².

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Q: 10. f(1) = –0.5 and f(n) = f(n – 1) – 0.5 for n>2 %3D - -

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Q: Evaluating a Function In Exercises 31–34, completethe table.

A: Function: 31. f(x)=-x2+5f(-2)=-(-2)2+5 f(-2)=1f(-1)=-(-1)2+5…

Q: L[u(t – 3) (1²4' – 9 4')] = 81e-4s 2 (s-ln 3)3 8 (s-ln 3)2 64e-3s 2 (s-In 4)3 6. (s-In 4)2 81e-4s 2…

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Q: $9 – 15 = ({¹x) ƒ A ( [9 – 15− − (^ ^x)ƒ ▲O --- ▼f(x,y) -:i-- = (^¨*x)ƒ^ f(x,y) = { 1 O Find Vf(x,…

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Q: 3 sint dt O F(1. 25) + f(1. 75) + f(2. 25) + f(2. 75)] O f(1) + 4f(1. 5)+ 2f(2) + 4f(2. 5) + f(3)]…

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Q: Find all the critical values of the function g(x) = 6x+2sin(3x). a. π( 2n + 1) -,nEZ. 3 b. π( 2n +…

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Q: the critical numbers of the function f(x)=6x5-10x3+3 are 0, 1, -1 1) which of the following is true…

A: Given:The critical points of the function f(x)=6x5 - 10x3 + 3 are x =−1 , x = 0 and  x = 1.

Q: X(z) = z(z+2) (z-1)(z-3) x(n) = u(n) — 223¹u(- -n-1) x(n) == Option 3 3 5 )=-u(n) + 3"u(n) Option 4…

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Q: 81. A function y = f(x) is increasing on the interval (0,5). What conclusions can you draw about the…

A: If a function is an increasing function then this means when the value of the variable x increases…

Q: s2+10s+34 2s+10 If F (t) = L-1{ find F (0) s2+10s+34 O -2 o 1 O-1 o 2 Previous Nez

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Q: 10. Show that (ii) If f(t) t2 if 0 1, then L 2(1-e-) S

A: Step:-1 gt = g0t,   0&lt;t≤t1g1t,   t&gt;t1 then gt =g0t +u t-t1  g1t - g0t  And  L  u t-t1  gt…

Q: L[u(1 – 3) (r²4' – 9 4')] = In 4 e-" (금 + 음) ㅇ -3s 64e 2 (s-In 4)3 (s-In 4)2 In 3 e-4s (를 - 8 -4s e…

A: Laplace transform satisfies linearity property, La·ft+b·gt=a·Lft+b·Lgt By Laplace transform table,…

Q: ppose we know that f(x) is continuous and differentiable on [2, 14], with f(2)= -5 and f'(x) <= 10.…

A: Given data:   The given interval is [a,b]=[2,14]. The given value of f(2) is f(2)=-5. The given…

Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: Thê sùm of the digits ôf 3-digit number īs 12, the hundreds digit is the twice the únit digit. If…

A: The sum of the digits of 3-digit number is 12, the hundreds digit is the twice the unit digit. If…

Q: 2.25 † Let I" -a" if x + a, f(x) = I-a if x = a, where n e N. Find the value of e that makes f E…

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Q: * Find the intervals of concave up of .3 f (x) = e-2* + e* (0, ∞0) (-∞,0) (-1,0) (0, 1) O (-∞, 00)

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Q: Let x +4 f(x) : %3| x + 9 f-(- 9) = Add Work > Next Ouestion

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Q: Differentiate all three problems

A: To apply the basic rules and obtain the derivatives of the given functions

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Q: ough 5 on page 191. 7. f(x) = (x + 4)²(1 – x) - 1 10. f(x) = --(x + 4) (x – 1)³ 4) (x – 1) 3 x - 3)…

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Q: Consider the following  y=(x-2)^3   Find the critical numbers. x= Find the open intervals on…

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Q: 2- S5olve X" = LX given u =1

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Q: 0. 2° F = (10. 4° F)e¬k(2) 0.2 Divide 10.4 0.0192 = e-2k In0. 0192 In(e-2k) www. 3. 95 =-2k K = 1.…

A: I have explained it step wise

Q: i) Estimate (2.03)' with f(x)= -2x° by using the linear approximation. ii)Estimate In( 1.03) by…

A: Dear student we are allow to solve first question only if you need rest of answere please upload…

Q: H 1 L 10 NO 广 -1 L -1.1 -8.2 8.7 11 y = 3. T 1 T 1 11 11 11 1,6 12 I I I 11 11 I 2,5 y = 2.3² T 1…

A: The given functions y=312xy=2.3xy=4.2x

Q: This function 6x° +33x-30x + 100 has three critical points. What are they? O 3/5, 5/3 and 0 3/5,5,…

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Q: The critical points for the .function f (x) = 6æ° + 33a* – 30x + 100 X=-5, x-0, x=3/5 x=5, x=0,…

A: f(x)=6x5+33x4-30x3+100

Q: 11. Suppose that f(x) is differentiable everywhere and we know that f(-4) f'(x) > 6 for all x. = -2…

A: Given, fx is differentiable everywhere. f-4=-2 f'x≥6, for all x dydx≥6, for all x  dy≥6dx…

Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

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Q: { 23-y3-1 If f(x, y) T-1 3 ,x = 1 then fy(1,0) + 2f-(1,0) = O 9 O -9 O 6 О-6 O does not exist

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Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1)…

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Q: The function f(2)--12 +3 is increasing on the intervalse (A) (-. -3) and (3, x) (B) (- 2, 2) (C)…

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Q: Graph the functions

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Q: The function z = Select one: O True O False f(x, y) has a local maximum at the critical point (3,-1)…

A: Given z=f(x,y) D(3,-1)=4 and fxx(3,-1)=-5

Q: L[u(t – 3) (r²4' – 9 4')] = 64e- -3s (s-In 4)3 9. (s-In 4)2 2 81e-4s (s-In 3)3 16 (s-In 3)² 64e-3s (…

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Q: (4x³ + 42x)(x² + 7)² - (xª + 21x²) · 2(x² + 7)2x (x² + 7)4 (G) f"(x) %3D 14x(21 – x²) (x² + 7) Since…

A: if f"(x) = 0 then point of inflection roots of x

Q: 2. Is it possible for a function f(x, y) to satisfy both f(1, 2) = 5 and f(0,0) = 5? If yes, gi- an…

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