Show that ām+n āzm+mEz az+m:n Show that under a constant force of mortality A and a constant force of interest d, we have njāz = e-n(x+8) X + 8

Q: (z/(u + m) = d)dĒшAuA (! h) 3n3m(n+m=4^n-m=2) (1=m-uv+=+u)шEUE (8 (S=₂+₂)Ẹи (ə (0 = m+u)шEUA (³ (m>…

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Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find Cn in terms of C0 when: 1. Cn = Cn-1/(3n2 + 4n): (Note that C1 = C0/7, C2 = C0/140, C3 =…

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Q: e2n cn U8n-5 %3D an-1(c – e)"(a – c)n' fan an bn-1(d – f)"(b – d)n' U8n-4 cn+1e2n U8n-3 = a"(a –…

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Q: The top and bottom margms Op a poster are are 8 cm and Hhe Side mary Ms'are each 6 cm if Hhe ae a of…

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Q: Q4/ A- If p (A) =0.4, p(B) 0.2 and p (An B) 0.1 determine the following properties P(A'), P (A U B),…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: a) 6e2x – 17(e*) + 12 = 0 b) 82x+1 = 45-x %3D

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Q: 6. Prove that "x² dx = b³a³ 3

A: If F(x) is the anti derivative of f(x) in the interval [a,b] then

Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

Q: Evaluate the following formula for p1−p2=​0, p=0.137417​, q=1−p​, x1=71​, x2=12​, n1=302​, n2=302​,…

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Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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Q: Consider three systems s1 s2 s3 as responses to a complex exponential input e ^ j5t are specified…

A: Given the three systems s1,s2 ,s3 as a response to a complex exponential input ej5t. Such a that…

Q: Q111f и %3D (1 —2ху + у?)""/2, Prove that: ди ди y əx y? u3 У ду

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Q: %3D 3) Solve for all values of a that satisfy the equation: -5 + V2x + 13

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Q: B) If fx) =-3x² +13 and g(x) =x'+8r-2; find the following. i) (g+f)(x) ii) Ax) - glr) C) 1) If f(x)…

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Q: Consider the parametric curve: x = ln (8t) y = 5t³ Which integral gives the arc length of the curve…

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Q: Find the derivative of : yo √√x ²³² +1 (x+3) * (x-1)/3

A: given  y=x2+1(x+3)x(x-1)13formula used is (i)  lnxn=nlnx(ii)  lnab=lna-lnb(iii)  lna.b=lna+lnb(iv)…

Q: a) Find the values of A and B if - {(x² + Ax + B)e*} = x²e* dx Hence, evaluate S, x²e*dx

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Q: [3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = ,…

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Q: then m = (q²b²³) 1/10 9-1/261/5 = and n = qmbn 1/10

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Q: x/2 – x) · (e*² + x) dx = et + C 3

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Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

Q: dx 11 J V64x2 - 121 8 11 18 – In-x+ 8 3 A +C 64x2 – 121 B In 1 V64x2 - 121 +C 11 In V64x2 - 121 +C…

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Q: 20 %3D Find (all) the value(s) of c such that 5c2n 3 n=0 (A) c= 2 (B) с — 7 (C) c= -2,2 (D) c = |…

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Q: Find the antiderivative of (25x2+48x+15)/(x-1)(x+2)2

A: Antiderivative of a function f(x) is given by :…

Q: By using the substitution u = 4x + 1, evaluate (4х + 1) dx +x + k 4x? + x + k (4x + 1)² + k x' + x +…

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Q: O 22 I √x+1= ?

A: Given data

Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: 54. (р^ (~(~рv @)) V (р^@) %3р

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Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: For a particular object, a(t) = 4t² +7 and v(0) = 6. Find v(t).

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