Then P(X > -2) is:

Q: Use the def'n of to test the dif ferentiability of the x=0 : ヘ人る given gn at Sx²+2x-1, x<o ○け f(x) =…

A:

Q: Find k such that f(x) = x3 - kx2 + kx + 2 has the factor x - 2.

A: The general polynomial equation of degree n  is an equation of the form…

Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

A:

Q: There is a department that evaluates new smart phones reports the number of minor defects in each…

A: The CDF of the random variable X is,

Q: 7. Apply Lagrange interpolation formula to find k, given that P2(3) = 35 2 5 f (x) 2 k 275

A:

Q: f the p value from the output of SPSS is .02, then

A: The p value is 0.02.

Q: 2. Below is the w is complete the

A: Given function is: fx=x We know that, x=x ; x≥0-x ; x&lt;0 For x&lt;0, we have y=-x Differentiating…

Q: For f : R → Rf (x) = /100 – xHow many elements of the range of f (x}are integers?

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Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

Q: If the p. d. f. of X is f(x) = ; 2 < x < 8, then E(10X²) is: %3D

A:

Q: Given f(x,y)=x2eXy, evaluate fx(3,0).

A:

Q: Suppose that x is N(15,4). Find the P(X>11).

A: The random variable X follows normal distribution. The population mean is 15. The population…

Q: Find f(x) iff, (p) Hence deduce F .

A:

Q: for all x, so in particular we k |F'(c) s -2 + r f(4) is

A:

Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: Given the function P(x) = (x – 1)²(x – 4) - -

A:

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: Compute 5f – 7g, given that f(r) - and g(z) - e. -1) "(z-1) Se

A:

Q: 2 Delermire if fW=x s is even, odd neither.

A: As we know that a function f(x) will be  1. even function if f(x)=f(-x)  2. Odd function if…

Q: Q2) If f(x) = (x), and g(x) = (2 – x) find (gof)(x) and the domain of (gof)(x).

A:

Q: 4. Use the definition of "f(x) is 0(g(x))" to show that 2* + 17 is O(3*).

A:

Q: Find and classify the extreme values of f(r)=6r 4r over the interval (-2 21

A:

Q: Let X have the pmf p(x) = (12 )x, x = 1, 2, 3, . . ., zero elsewhere. Find thepmf of Y = X3.

A: We will use the following :  Discrete random variable X is variable which has finite or countable…

Q: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: A national consumers’ association determines that x years after its founding in 1998, it will have…

A: Given: P(x)=2x3-45x2+264x(a) Since between 2000 and 2013 (2≤x≤15)P'(x)=ddx(2x3-45x2+264x)We know…

Q: Given f(x) = 3x° + kx – 10, and x – 2 is a factor of f(x), then what is the value -- of k?

A:

Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: Derive a formula for fx* In x dxwhere a.) n+ -1 b.) n = -1

A:

Q: Determine the roof of f(x) = -0.5x² + 2.5x + 4.5 Employ the initial guesses of X¸ = 5 and X, = 10

A: Here we have to use the bisection method to solve the given problem. according to our guideline we…

Q: Find the value of x. x+1 M K in

A: In the given fig, we have two triangle ∆LMK an equilateral triangle And  ∆ JMK  an isosceles…

Q: Suppose that X~ N(100, 20). For some valle x, we have that P(X ≤ x) = 0.7605. What must be the value…

A: given data x~N (100,20)here μ = 100σ=20p(X≤x)= 0.7605we have to find out the value of x for given…

Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

A:

Q: a2 z a2z If z = In(x² + y²), find + 2 Əx2 ду?

A: The given function is z=ln(x2+y2).

Q: 4. Given that X-Po(3), evaluate: a PX = 3) b. PCX S 2) e. P(X > 4)

A: Poisson distribution is a discrete probability distribution. Poisson distribution describes the…

Q: Discrete

A:

Q: O N (AT) = R(A)-

A:

Q: Given that h(x) =x+1 and g(x)= x-5, find (5), if it exists.

A: h(x)=x+1g(x)=x-5

Q: Suppose that f(x) is O(g(x)). Does it follow that 2f(x) is O(2g(x))?

A:

Q: Suppose that P(x=0) =1-P(x=1), if E(x)=3Var(x), find P(x=0)

A: Probability is a measure that measures how likely an event will occur in any experiment. The…

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

A:

Q: If X is uniform on [-2,2] then p(x <0) = 1 1 2

A: X is uniform on [-2,2]   a = -2,   b= 2

Q: Let f(x) is defined as (kx² – 1, S (x) = x-1 Determine k so that the fur

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Q: Let f (x) = -2r, de fined on -1, 1], then L (P ) = 2 (n– 1) 2- 4 (n+1) 4 (n – 1) 4 (п-1) 2n2

A: We need to find the lower Riemann sum

Q: Qf Ify 3xel, Then at x 0 is 3.

A:

Q: Suppose p – a = 17. Find the following. %3D p + (- x) - (p – x) : * - p =

A: Given : p - x = 17

Q: If f(x) is increasing and f(x) > 0 then Vf(x) is increasing, too. RUE, because

A: Given,,  fx is increasing and fx &gt; 0 Then, 1fx is increasing too.  We have to identify the…

Q: Find f(0) iff (x) et?

A: