Let s in G, s is not equal to 1.

Q: Suppose A is an area function of ƒ. What is the relationship betweenƒ and A?

A: The relationship between a function ƒ and its area function A depends on the specific context and…

Q: Write the following equation in index form V(div v)+u x (vxw)=p(c®b)a VX W

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Q: = {é, X, {m}, {n}}. → [0, ∞) by Q. Let X = {m, n}, and Define the function Hn:> { 3 if n e A 0 if n¢…

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Q: $6. Determine the complementary function for the given DE.

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Q: Let > 0 and 6 > 0 be real numbers that satisfy e' (1+a+²) = eª (1+b+ 2 ) eb Prove or disprove that a…

A: Its given that a>0 and b>0. We have to prove or disprove that eb1+a+a22=ea1+b+b22 is satisfied…

Q: 1. Prove L = re L 0 r

A: Circumference of a circle with radius r is

Q: Let c, fand g be positive numbers such that c + 1. log. fg = log. = log. fº

A: Definition used -               log (m×n) =logm+lognlogmn=logm-lognlog mn=nlogm

Q: If Z- tan () then Show that

A: According to question, z = tan-1yx

Q: Show that for all x, e* > 1 +x.

A: It is given that, ex≥1+xwe have to show that for all x.

Q: 1.4 For which values of a €R is the function ax? f(r + iy) = (a²r - ary) +i + ay ) 2 tire funetion

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Q: If the right ray topo log y is considered for the real numbers then [1,5] is closed set O [4, c0) is…

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Q: Find zo such that P(z>20 ) =0. 1234

A: We have given a standard normal distribution. We have to find the z-score corresponding to the…

Q: Set f(x) = In(9x - 8). Question 1 For k > 1, f (k) (1) =

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Q: If x = (1.5,2.5), what is the smallest interval I = (4-ɛ,4 + ε) for which we can guarantee that x²…

A: Given that x∈(1.5,2.5) and I=4−ε,4+ε

Q: Consider sets A and B with |A|=9| and |B|=19. How many functions f:A→B are there?

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Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

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Q: Evaluate the following [8(t+ 3)e¹dt 88

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Q: Show that for every real number s. 0 e- e-ste² dt = ∞

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Q: anel g(x)= |- Vã , Fino × =(Xつ f え a- fog and gof b- thei range and domain of fo9 3 9of.

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Q: If E, and E2 are measurable then (E,UE,) is not measurable .

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Q: a. What is p(t)=  b.By using the function from part a, what is the answer in integer ?

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Q: Assume that the population of individuals is subdivided into susceptible (S), exposed (E),…

A: S: susceptible, E: exposed, I: infectious, R: recovered

Q: Show that e = o (hª) as h → 0 for all values of q.

A: Like big O notation, there is also a little o notation. There is a difference between big O and…

Q: Find numbers m and M Such that m<f'(1)< M figure in (1.4,1.3) l1,2 (1.6, 1,4) +

A: Given: The graph of f as  To find: The numbers m and M such that m&lt;f'1&lt;M

Q: Let X = height of the students in inches Let Y = Foot length of the students in centimeters…

A: Given: n = 33 Formula Used: Correlation coefficient r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2 Coefficient of…

Q: L. (10 pts) Given the function (x) on each of the following i a. [1, 2] b. [1, 17 c. [1,- 16

A: Given function - f(x) = 2x-1Average rate of change of a function is given by the formula =…

Q: If z is implicitly defined as a function of x and y via the equation e² = xyz, compute 33 and 3.

A: The given equation is, ez=xyz. To find: ∂z∂x,∂z∂y. To compute ∂z∂x,∂z∂y : Partially differentiate…

Q: a = 268 b = 752 e. Prove that if g = gcd(a, b) then gcd (2) = = 1

A: Given that a = 268 = 2 × 2 × 67 b = 752 = 2 × 2 × 2 × 2 × 47   Now let g = gcd (a, b) = gcd ( 268,…

Q: Suppose P(E) =0.30, P(F) =0.34, and P(F ∩ E) =0.07. What is P(Ec | F)? (Enter answer as a decimal…

A: P(E) =0.30 P(F) =0.34P(F ∩ E) =0.07.

Q: 22) let XnN20, 036), iF P(X<W) = 0.05 th the value of wis

A: Given that, X~N(μ=20, σ=0.36) To find the value of W when P(X&lt;W)=0.05

Q: dy y X, dx

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Q: 16xydx- 24ydy = -8x²dy %3D

A: The given differential equation can be written as:16xy−24yy' =−8x2y' An ODE Mx, y+Nx, yy'=0 is in…

Q: Solve the initial value problem below using the method of Laplace transforms. - 4t y" - 16y = 16t –…

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