Find the value of the constant C for which the p.d.f is legitimate

Q: If g' (x) = f(x) with g(0) = a, g(1) = b, g(3) = c, and g(4) = d. , express the value of æf dx in…

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Q: Is the following statement true or false? If f(x) > 0 and g(x) > 0 and f (x) > g(x) on [a, b], then…

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Q: Calculate f(t), if given F(s) the following is s² +b? (4). F(s) = In (s - a)2 %3D

A: Given F(s)=lns2+b2(s-a)2

Q: Determine the coefficients a and B of the following equation f (x) ax and the standard deviation

A: Given information: The data represents the values of the variables x and y.

Q: Given h(r) =  1 r + 2, find the following. (a) h(0)   (b) h(−1)   (c) h(−3)   (d) h(x2)     (e) h(x2…

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Q: 1. (p ^ q)→ p. p^q (p^q) →p T F F F

A: Truth table for logic Gates:   p q p^q p→q T T T T T F F F F T F T F F F T

Q: If S(x) = e"g(x), where g(0) 2 and g'(0) = 5, find f'(0).

A: In this question we need to find a differential of the given function.

Q: If x is in meters and f(x) has the units Newton/meter, what are the units of S æf (x) dæ? O Meter…

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Q: If f(t) = VE and a * 0, find f'(a). f'(a) =

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Q: If g' (x) = f(x) with g(-5) = a, g(-–3) = b, g(-2) = c, and 1 f 3 g(6) = d. , express the value of…

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Q: For what value of the constant c is the function f continuous on (-o0, 00) where S cx + 6 if x E…

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Q: If f(x)=axe^x, where a is a constant. Find the following.

A: f(x)=axexf'(x)=aex+axexf''(x)=aex+aex+axex=2aex+axexf'''(x)=2aex+aex+axex=3aex+axex

Q: Find the z-score corresponding to a score of X = 30 for each of the following: µ =50 and σ = 20 µ…

A: The formula for finding the z score is shown below:

Q: Find a formula of the form  f(x) = Abx  using the given information. f(1) = 5, f(3) = 45.

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Q: If E(X)= 48, then what is E(4 + 0.83*X)? (Use two decimal places, ex: 12.34)

A: We have given that,  X is a random variable and E(X) = 48 Then,  We will find ,  E(4 + 0.83*X) = ?

Q: Find the value of the constant c so the function f is continuous on ( – x, 0) where сх + 3 if x 4

A: The objective is to find the value of the constant C so that the function f is continuous on R.

Q: 3 Given that 1 < f(x) < 2 for -4 < x < 3, find the best possible estimate of the value of f(x) dæ.…

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Q: Given f(x) = x2 + 2 Find value(s) of x that give y a value of 11

A: Given that y or f(x)=11We will plug f(x)=11 and solve for x.

Q: Find the value of x such that P(X < x) = 0.95. (Round your answer to 2 decimal places.)

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Q: 3) -24 e 7)子, sinst?

A: We need to solve given problem:

Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

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Q: Let x1, X . ,~ Bin( n,p) and p = . Find 1) A constant c such that E[c p ( 1 – p) ]= p(1- p). 2) Find…

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Q: If f(x) = x – 3 and g(x) = x? – 14. Given that h(x) = g(f(x)). Find h(x). А. х? — 17 С. х2 — 6х — 5…

A: topic - composite functions

Q: using the data X          P (X) 0          0.12 1          0.18 2          0.30 3          0.15…

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Q: Given f’’’(x)=e^x with f’’(0)=6, f’(0)=2, then f(x)= ? + C Note that your answer should not contain…

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Q: s+a s+b

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Q: درجات The coefficient of correlation is the same as r-square. is the square of the coefficient of…

A: We know that,  Coefficient of correlation is the square root of coefficient of determination.  r =…

Q: The Final value of F(s) = i: s+3 O 3 0 1 8.

A: We will find the final value of F(s)

Q: If given y'= f'(x), would would need to be given in order to find the +C

A: Given,          y,=f,x

Q: Find F(0) if F (t) = L 16 2 (s+4) O 16 O 4

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Q: If X ∼ Geom(p), what is the most probable value of X? a) 0 b) 1/p c) p d) 1 e) (1 − p)/p²

A: Geometric distribution In series of Bernoulli trials, the random variable X denotes number of trials…

Q: If f(t) = est + e-5t, find f'(t). Use exact values.

A: As we know that: The sum/difference rule: f±g'=f'±g' The chain rule:fgx'=f'gx·g'x Given: ft=e5t+e-5t

Q: P(H), P(E\H) Р (G) Р(E]G) P(H|E) Show that P(G|E)

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Q: Given f’’’(x) = e^x   with f’’(0) = 8 , f’(0) = 7 Then f(x) = ? +c

A: Recall that the derivative of ex = ex and integral of ex = ex

Q: Find L{f(t)}of the following functions. Note: a, b, e, k and n are constants.

A: Given, f(t)=t cos 8t + 2 Taking Laplace transform, we get L{f(t)}=L{t cos 8t + 2} ⇒L{f(t)}=L{t cos…

Q: Differentiate the function D = 3 – In p. D' =

A: Here we will differentiate the given function,

Q: ate the standard deviation and mean deviation from mean if the frequency function fix) has the form:…

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Q: This question is designed to be answered Without a calculator. Let r(t) represent the rate, in…

A: Please refer to the image.

Q: Given that 2 ≤ f(x) ≤ 4 for 4 ≤ x ≤ 5, estimate the value of 5 0³/ [ f(x)dx 5 [²₁ <5 f(x)dx

A: Given 2≤f(x)≤44≤x≤5To find range of∫45f(x)dx

Q: s dx 2

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Q: If f(x) = e*, which of the following is equal to f'(e)?

A: Here we want to find f'(e), to find f'(e) initially we have to find f'(x) then substitute x=e then…

Q: Calculate f(t), if given F(s) the following is (s -a)² +b² (s - b)? (5). F(s) = In %3D

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Q: ,determine f(t−a)for the given function f and the given constant a. Q. f(t)=e3t, a =2.

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Q: 2. Find the final value of f(t), if: 5(s + 2) s(s +1) F(s) = %3D

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Q: d e3x²+3x dx

A: The objective is to find the value of f'(2).

Q: Given f"(x)=e^x with f"(0)=6, f'(0)=2, then f(x)= ? + C Note that your answer should not contain a…

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Q: Express the statement as a formula that involves the given variables and a constant of…

A: Given: y is directly proportional to the square of x And inversely-proportional to the cube of z x=5…

Q: For what value of the constant c is the function f continuous on ( – 0, ∞) where | cy + 2 if y 4 -

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Q: Establish the relationship between x & y approximately by using an interpolation formula from the…

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Q: If the pdf is 22 e&r4x² , 0<x<1 Find K.

A: The total probability is always 1. So, ∫-∞∞f(x)dx=1

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.