Suppose X ∼ Norm(0, 1). Find Var(X).

Q: please explain and show steps Calculate us (t) * sin(t) using the definition of the convolution

A: Introduction: A mathematical procedure called convolution on two functions creates a third function…

Q: Find a 90% confidence interval for the population mean, if the sample size is 58, the sample mean is…

A:

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: -lim COS X tanx <-2メ X-8 2 lim 3 x→2 x42x +X-2 A

A:

Q: give 3 simple and basic derivatives examples of product rule with solution. see the photo for…

A: To give 3 simple and basic derivatives examples of product rule with solution. Consider,…

Q: Prove that 1 3V2 dx < 3 + x (Hint: Theorem 5.9(ii) and carefully chosen functions should do the…

A:

Q: Q3\ find General solution of sin (xy). (ydx + xdy) = 0 %3D

A:

Q: Evaluate. 2 0 √2x dx

A:

Q: )L{sinh(7t) + (2t + 1)U (t – 1)},

A:

Q: Question 2 * SE sec2 (0) d0 = dx a) sec² (x³) - 3x² b) – sec² (x³) · 3x? | O ) sec² (x³ ) d) – sec²…

A:

Q: 6x +1 12. j ** dx = x +9 A. 6ln(x² +9)+ 3arctan +C 3 B. 3ln(x +9)+ arctan +C 3 1 C. 3ln(x²…

A:

Q: ∞ sin2x dx (x²+1)²

A:

Q: Evaluate x² sin (logy) y4 [5² K -dydx + I ² sin(logy) dydr.

A:

Q: Differentiate the following:

A: Step 1:Step 2:Step 3:Step 4:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT yyy Ü♥¯ ¶ ☆ @ ! ! ?? !! ? ?! ¿ ¡ !? S❀ W X Х Х Х Х A * ✓✓✓ DO -…

A: We have not any digital tool .

Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

Q: Q5) Find the root of f(x)= 5 sin(x) + ex² by using bisection method take a= -1.25 and b= -1.0 for…

A: Given, fx=5sinx+ex2. Here, a=-1.25b=-1.0 Now,…

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar…

A:

Q: (a) Var(X + Y ) = Var(X)+ Var(Y) (b) Ε(XY) - (EX) (EYΥ) (c) E(X + Y ) = EX+ EY

A: Since we answer up to three subparts of a problem, we'll be answering the first three sub parts…