We roll a six-sided die 10 times, and let X be the number of rolls where it the die at least 5. Find E[X].

Q: Find (22 + 1)Va dr.

A:

Q: 4 x+4 dx

A: We have to evaluate ∫4x+4 dx.

Q: Evaluate. Assume u > 0 when In u appears. fx²¹x¹² dx. ote √x¹¹ ex¹² dx = 0 (Type an exact answer.)

A:

Q: Sxcos²2x dx

A: Given: ∫xcos22xdx

Q: Evaluate. x? + x – 3 dæ Preview %3D

A:

Q: Find S xJ3(x)d

A:

Q: dw 67. S w2/5

A:

Q: f = y/x

A: Given function f=yx The gradient of the function f(x,y) is given by ∇f=∂f∂xi^+∂f∂yj^.

Q: x -2 -1 0 1 y 2500 500 100 20 Write the equation for the exponential relation represented in the…

A: One can find out the correct equation by substituting the values of x given in the table. For our…

Q: Let f(x) = 2" + x. Find (f-1)'(1).

A:

Q: Q6/(A)Evalute ex² dxdy.

A: Given: ∫02∫y21ex2dxdy Evaluate the given integral. If the order of integration is x, y then…

Q: 5. [x3* dx X

A: A detailed solution is given below.

Q: 2. 4 (Inx) dx

A:

Q: ey/x dxdy o y

A: I have solved by changin

Q: ハメー X1 YxJ dx |

A: Find the integral

Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

A:

Q: Let F(t)=tetit j - 4+t² + t√Ek. Find SF(t) dt

A:

Q: 13 dx (1+5x)

A:

Q: Sor's Evaluate e" 2e* 5e dx

A: The given integral is ∫ex2ex5ex dx

Q: Find ∫ dx/√(e2x − 1)

A:

Q: d Verify coth x = - csch² x. dx

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: Evaluate J dx √x(1+√x)

A: ∫1udu = lnu +C

Q: Evaluate. x - 1 dx 9 x + Va if b > 4, find b² + 36 +5

A:

Q: Find the following

A:

Q: d х [S* dx] Vx² + 2x dx

A:

Q: dx Evaluate • (1–2x)² 0 1 1 2 O-1 o 1 2

A: We have ∫-∞0dx(1-2x)2

Q: st ар хи पा S

A:

Q: x singe dy dre

A: We will use simple integration rules to solve this question.

Q: Evaluate f (e* + 2x)² dx

A: We need to evaluate ∫ex+2x2dx. So,                ∫ex+2x2dx=∫ e2x+4exx+4x2dx=∫ e2xdx+∫ 4exxdx+∫…

Q: -3 In (x) dx

A:

Q: E A

A: Topic = Geometry