31) Heating or Cooling by Convection If air at a constant temperature, Te, flows over a small solid object whose temperature is T, the object's temperature is determined by Newton's law of cooling: dT :-k(T – T.) dt where t is time and k is a experimentally determined constant with units of reciprocal time (so if t is in sec (seconds), k is in sec). If the temperature, T, equals some value To > T, at t = 0, determine T(t). Note: if your answer is correct, you will able to verify that T→ Te as t → o.

Q: During a windstorm, a 32-foot vertical flagpole cracks in such a way that the top of the pole…

A:

Q: Sex²+y² dxdy R= {(r,0): 0≤ r ≤ 2, 0≤ 0 ≤ 2}

A:

Q: and F= 35. FIND D when Ez18, Fz40 A: (6,1) A: B: B: (4,5) 1225 1600 C: (12, 3) D: NONE C: 3600 OF D:…

A: 1. Form the given information, both E and F are positive, that is both values indicates the first…

Q: d'y If y = e, then dz2 A) 182 e= B 9x e2 (6z + 3=*) e (6z + 9z*) e* 9x*) (D 6x +

A: We can find the correct option as below.

Q: hi there this question only had these parts nothing else was provided, would you be able to solve D?

A: The mean is 17.8 and the standard deviation is 2.9.

Q: Describe the first two steps you would take in approaching each of the following problems. 3x²-2x-3…

A: We have to find ph value and the value of x and t

Q: Q). the Simplity following Q) (J3+i > (J3-1)

A:

Q: Soft ty √x³+1 dx dy 3

A:

Q: 4) x= V12 – x V12-x %3D

A: Find the value of x

Q: 1000 100 10: The coordinates of point C are most likely... (A) (4,10.5) (B) (4,15) B 2 (C) (4,16.6)…

A: We have to find the most likely coordinates of point C

Q: (2) Write an expression to represent the area of the triangle: 2y²-2y 3 3y-30 4y² A) (-10)(y-1) B)…

A:

Q: x2 x*(a² + x²)% dx = 1 (a² + x²)7 + C 15 3

A: We use substitution method

Q: Q3) Determine how the rank of A varies with x x1 A II

A: The rank of matrix A varies with x as below.

Q: 2 2y³) e³¹-7y²dy. Evaluate (7y - 2y³) (7y -

A: let ,  G=∫(7y-2y3)e(y4-7y2)dy

Q: 2 ,2 dy y + 7 1

A: Given             ∫12y2y+7dy Apply u-substitution                                  u=y+7…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.