The graphs of y=b(x)(black), y=g(x)(green), y=p(x) (blue) and y=r(x) (red) are shown. Which of the four statements is correct?   A. g′(x)=−p′(x)   B. g′(x)=−r′(x)   C. b′(x)=−g′(x)   D. b′(x)=−r′(x)

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=2x-3 t(x)=5x…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate. [(122 - 9x 2) dx S(122 - 9x +2) . (Use C as the arbitrary constant.) dx =

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Q: Suppose my new MyPhone cellphone costs $700, and depreciates in value by $30 per month. A new Cyborg…

A: We  are asked to write the formula for the given information.

Q: Which of the following pairs of functions below do not form a fundamental set of solutions to the…

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Q: Which is true for the f (x)= (2x-4x)e A. f(x)=e* B. f(x)=e*-1 C. f(x)=e D. f(x)=e

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Q: Find C (x.y) if C(x,y) = 8x? + 12xy – 14y? + 4x- 11y – 112. Cx (x.y) = D

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Q: If ​P(B)=0.25​,​P(A | ​B)=0.5​0,​P(B′​)=0.75​,and​ P(A | B′​)=0.9​0, find​ P(B |​ A).

A: We have given that P(B)=0.25​ P(A | ​B) = 0.5​0 P(B′​)=0.75​ and​ P(A | B′​)=0.9​0 We have to find​…

Q: Determine u(x,t) for the problem below.

A: Given : Wave equation     25∂2u∂x2=∂2u∂t2              0<x<16, t>0                    -1u0,…

Q: Suppose R(x) = f(x)/3 − 5x2. Find R′(−1).

A: Derivative: - The function's spinoff is that the equation we have a tendency to discover. The…

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: The formula one have to use here is f(g(x))'=f'(g(x))* g'(x)

Q: Let k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8, and h′(5)=−4, what is k′(5)?

A: Given, k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8and h′(5)=−4

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

Q: Given that h(x) = ƒ(g(x)), find h′(3) if g(3) = 4, g′(3) = 5,ƒ(4) = 9, and ƒ′(4) = 10.

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Q: Exercise 2.7.25. Compute E(Y|X = x) for all random variables in the previous exercise

A: 2.7.25: From the Exercise 2.7.24, a) From the given information, two fair dice are rolled. The…

Q: If F(x) = f(g(x)), where f(−3) = 7,f ′(−3) = 9, f ′(2) = 4, g(2) = −3, and g ′(2) = 4, find F…

A: given  F(x)=fg(x)  from chain rule of derivatives        F'(x)=f'g(x)×g'(x)

Q: Consider the following. f(x) =  x − 5 x2 − 25 ( Identify all intercepts. (If an…

A: Consider,

Q: et h(x)=f(g(x)). If g(−2)=3, g′(−2)=−1, f(3)=−5, and f′(3)=−6, find h′(−2).

A: Given function is : hx=fgxg-2=3g'-2=-1f3=-5f'3=-6   To find the value of h'-2

Q: If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x…

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Q: If ​P(B)=0.55​,P(A | B)=0.9​0, P(B′​)=0.45​, and​ P(A | B′​)=0.4​0, find​ P(B |​ A).

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Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r ′(1) and s…

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Q: Let h(x)=f(x)⋅g(x). If f(x)= −4x2 −3, g(−9)= −6, and g′(−9) =8, find h′(−9). y=

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Q: Give an example of TEL(C5) with dim E(2, T) = 2, dim E(4, T) = 1, and dim E(X. T) = 0 for all other…

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