1 + a2x² 0 < x<1 e. w 3 Q1/ Let X be a r.v with p.d.f f(x) = }"1 and %3D Find 1. The value of a, and a2 . 2. var(x). 3. E((x+ 2)²). 4. Mx(t).

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

Q: -3z + 4, a < -2 22 - 2, 2-2 18. If f(x) = find f (-2). || A. 10 В. 2 C. -2 D. -6

A: Given function is fx=-3x+4, x&lt;-2x2-2    ,x≥-2.

Q: Differentiate the function. H(z) = In a2 - z2 a2 + z? H'(z) :

A: Given function, Hz=lna2-z2a2+z2

Q: Let f(x) = 2x e¯x*,x > 0 and Let Y x2. Find G(y)and g(y). %3D

A: In this question,  we need to transform the variable in the probability density function.

Q: 5. f(x,y) = (x²y+ 3x) 5 A. fy B. fyy (1,-1)

A: To find out the partial derivatives.

Q: iven function

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: 16. Differentiate. f(x) = et %D ex+x

A: differentiating both sides with respect to x and solve the question. see 2nd step.

Q: X f(x) Find A^2f(2) a. 18 b. 6 C. 12 d. 24 0 0.5 1 0 2 O 3 5.5 4 23.0 01 5 118

A: We have to find the value of ∆2y(2) using the table x01234     5f(x)0.5005.523 118

Q: Differentiate. f(x)=In(12x)

A:

Q: Question 6 Next Question > Consider the function f(x) = 8x8 + 7x7 - 7x¹ - 6. Enter the…

A:

Q: 1. Find f'(x), f"(x), and f(x) for the following functions. a. f(x) = (2-3x)5 b. f(x) = 2¹2 +324 c.…

A:

Q: Sr- 3, I0' Example 1.7.21. Given the function f(r) = find f(3).

A:

Q: Find the interval where the function is concave up. Find the interval where the function is concave…

A: for concave up  f"(x) &gt;0 and for concave down f"(x) &lt;0

Q: du _ dv dy dx If f(z) =z²+z - ,2

A: Take z= X+iY and proceed

Q: q.1.x, q.x² q.1.X + d²w_S.w dx2 D 2. D 2. D Solve the ODE ( S>0, D>0, q > 0, 1> 0)

A:

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

A:

Q: 3 4/3 Find the length of the curve y = x 3 2/3 8x +5 for 1 ≤x≤27.

A:

Q: Let f f(x) dx = -3, f¹ f(x)dx = -4 and g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate * (7 f(x) — 28(x)…

A:

Q: Review the sample data below. A researcher collected information about the demographics of different…

A: The table denotes the information about the Individual's ID and its respective GD.

Q: 9+xm 6. 3x+2y < 0 yD mx:

A:

Q: If F'(x) = f(x) and F(0) = 0, find F(b) for b = 3, 5, 7, and 9.

A: Given graph of f(x)

Q: Use the following piecewise defined function to answer the questions. 0≤x≤4 - {₁₂_ 4 < x≤6 f(x) =…

A:

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

A:

Q: How.L Find minima, bmakima and Saddle paints for the functionss foxy) -9x -4 xy 3- %3D f Cx,y) = 2…

A: (3) the given function is fx,y=9x3+y33-4xy Now we have to find ∂f∂x,∂f∂y,∂2f∂x2,∂2f∂y2 and ∂2f∂x∂y

Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 &lt; x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…

Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

A:

Q: 31. g(f(-3)) 32. g(f(4)) 37. (f o g)(4) 38. (g º f)(-3) 41, f(x) = VI – x, g(x) = x² + 2 %3D | 1.

A: We have to find the value of composition function

Q: Differentiate: f(x) = 4x³ - (5/x²) %3D O a. f(x) = 12x² + (10/x³) O b. f(x) = 12x2+ 10x3 O c. f(x) =…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.