RV X with pdf f(x) = cx², -1 < x < 2. Find 1. P(X>0) 2. P(X>0|X< 1) 3. P(X<1| X <0) I.

Q: Find f such that f'(x) = 4x² + 3x-3 and f(0) = 9.

A: (1) f′(x)=4x2+3x−3f(x)=∫f′(x)dxf(x)=∫(4x2+3x−3)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: T² 2 / (x + 1) (2² + 1) dr. Evaluate

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Q: This is the graph of a function f (x). What is the value of /, f (x) dx ? (3, 1.5) 1- |(0, 0) 3 3 -3…

A: In this question given that a graph and first we find function f(x) and after we find the value of…

Q: tet and gx)=H %3D X-) Find (9.f)(x) and ff) (f.3)(x)

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Q: Find the intervals of decrease and increase for the function TC f(x) = c --- X

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Q: 4x+7 18x<2 (ii) If f(x) = , determine whether the function f(x) is continuous 4x-1 2<xs4' throughout…

A: We determine whether the function f(x) is continuous throughout its domain.

Q: Pls help ASAP

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Q: if y=lxl, the absolute value of , then find y`(0)

A: Absolute value function can be written as:

Q: dx x(1+ln² x)

A: Given : ∫dx/x(1 + ln2x)      .....(1) Let ln x = t Differentiating both side w.r.t. x 1/x = dt/dx dt…

Q: f (x) = x³ – 23 6x + 1. | e sure to verify the c

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Q: Q2: EVALUATE * S I5(x) dx Js(x)

A: To find : ∫J5xdx Using the formula  ∫Jn+1xdx=∫Jn-1xdx-2Jnx Here n=4

Q: The domain and range of function g(z)= 1-/x.11

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Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

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Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

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Q: Find the intervals on which the function is increasing or decreasing where f'(x) = 4x³ – 4x.

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Q: p(x) = x / 5 x = 1,0,1

A: Given, p(x) = x / 5 ;        x = 1,0,1

Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: f(x) 1 2 2 1 3 3 4 -1 f'(x) g(x) 3 4 -3 -2 -1 1-2 3 12 |-4 -1 0 -3 g'(x)

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: Use the the derIva tive rule to find derivative of Y= 2x3 -1 X-1 メ 6x -5 X² +1

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

A: The objective is to find relative extrema, if any, of the function.

Q: Do not use technology. The figure below shows the graph of f', the derivative of f. The function f…

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Q: Consider the function below. x2 f(x) : x2 - 25

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Q: Use the second derivative test. Show Graph. Find all relative extrema of ƒ (x) = xª – 4x³ + 1

A: Given function is  fx=x4−4x3+1