(4 -3) Please show all working 9. -2 (1) Given that P = 2 ) and Q = ( %3| -3. 4 -3. Calculate: (i) P + Q (ii) 3Q (iii) ½P

Q: y(6) –4y(5) +3y/) =-27 %3D

A: The given differential equation is y6-4y5+3y3=-27. We have to find the solution to the given…

Q: Given f(x) = 2x2 + 1 and g(x) = 6x - 8, find the followin %3D (a) f(g(2)) 33 (b) f(g(x)) (c) g(f(x))…

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Q: Find the value of f(7). y = f(x) 10 8. 4 2 X. -10 -8 -6 -4 -2 14. 8 10 -2 -4 -6 -8 -10

A: Given the graph of f(x)  by using this we need to find the value of f(7).

Q: If f (-4) for f () = -2x +7 is 15, then what is f- (15)?

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Q: A salesperson gets a commission of $1,600 for the first $10,000 of sales, and then $800 for each…

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Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: Peter buys a car for $34,000 in 2010. The value of the car decreases at the rate of 8% each year.…

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Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)…

Q: { 4x -3, X 2 - V. AI

A: While finding the functional value at a particular point all we need to take care of is the branch…

Q: 2x-3 8(x) = x-1 %3D a. g(2) c. g(-6) b. g(0.5) d. gb)

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Q: x-x +x -x* +.. 3 X-X+x X %3D

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Q: x 3 Calculate the following values: n( – 6) = n( – 4) = - %3| п(3) — n( – 3) = n(4) = n(2) =

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Q: Please

A: Recall the derivative formula: Derivative of xn = nxn-1

Q: Determine the power function that resembles the end behavior of 4 f(x) = -4x*(5 – 3x)*(2r + 7)* ( –…

A: 1. Power function P = axn a ,n= real constant, x is variable. 2. The end behavior of f(x)  means…

Q: 5. f(x) = c= x3-x %3D

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Q: 2.3. Invert F(p) pže-2p p2+4p+4

A: The solution is given as

Q: If f(1) = 10 and f(n) = f(n – 1) – 4 then find the value of f (5). %3D

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Q: Find f(t). + 8s + 17 f(t)

A: To find Laplace inverse transform.  We'll use the following

Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

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Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: Let f (2) = 2x –7 and 9 (2) = -4x +3 Find (g o f) (3) %3D

A: Given that, the functions are fx=2x-7 and gx=-4x+3. Obtain g∘fx.…

Q: f(x)%3D D 2* EVALUATE. Find f(5)=

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Evaluate

A: We are given that f(x) = 4x – 2 and g(x) = 5x2+14x+2. For (a),

Q: x(y S. %3D

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Q: Ay 2- -4 -2 2 -2

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Q: In 1914, a community had a set amount of land that was being converted for agricultural use. The…

A: P = The  fraction of land converted to agriculture land. Pt = 11+6e-0.19t t = time is years since…

Q: 3x-4 5 Show your work: O {,-3} O {-},3} O {-3} O {}}

A: x =a   ⇒  x= ±a