9. The accumulation function for an account for the next 5 years is a(t) = t² +t+1. Find the value at time t = 5 of $100 deposited at t = 2. (A) $442.86 (B) $462.86 (C) $472.86 (D) $501.32 (E) $512.86 (F) $1300

Q: 1 (b) Evaluate dx by using properties of improper integrals. (x-2)/3

A: To evaluate the integral  ∫131x-213dx

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A:

Q: Solve detailly 7a, & b

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A: Concept

Q: Reduce the following D.E. to the linear form, then solve it. help and thanks in advance

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Q: ..+n = n(n +1) 2. prove that 1+2 +3+ %3D for n=L,2, 3

A:    

Q: Which of the following series are the same as the series (2n+3 in 3n+2 n=2 terms of convergence or d...

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A:

Q: Find the MacLaurin series for f(r) = In(1+xr) using the any method you know.

A: It is given that, f(x)=ln(1+x)   MacLaurin series can be calculated by using, f(x)=∑n=0∞fn(0)n!xn=f(...

Q: (-2, 3) . 3 (-2, 2) 2 -3 -2 -1 (a) lim f(x) = x→c+ %3D (b) lim f(x) = (c) lim f(x) Enter an exact nu...

A:

Q: INTEGRAL CALCULUS - INTEGRATION BY PARTS

A: given,       ∫t7sin2t4dt

Q: | cos z In(sin x)dr

A: In some cases an integral can be converted to a standard integral using an appropriate substitution....

Q: (– 1)"(x+2)" What is the interval of convergence for the series 2 n=1 О.[-6,2) O b.(- 6,2] Oc[-6,– 2...

A: The correct answer is option B. The given series is  ∑n=1∞-1nx+2n4nn The ratio test will be given by...

Q: Solve 7 sin(2a)- 4 cos(a) = 0 for all solutions 0<a < 2n = Give your answers accurate to at least 2 ...

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Q: Kindly Solve the following. Show neat, organized and complete solution. Simplify the final answer.

A: Derivate indicates rate of change. f(x)g(x)'=f'(x)g(x)+f(x)g'(x) Use the following formula: xn'=nxn-...

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 35x3...

A: Consider fx=35x3-404x2+211x-22, Here, p = factors of constant term 22. So, p=±1,±2,±11. Also, q = fa...

Q: Determine the limit of the following (view image) and possible answers are below A. 7 B. 1 C. Positi...

A: L hospital rule

Q: The slope of the curve 2x + Vx + y = y at the point (0, 1) is

A: 2x + √(x+y) = y  So,  √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy  So, y(1+4x) - y² =...

Q: a) Evaluate the following integrals i) S(x + 1)/2x + x2dx.

A:

Q: -5 -4 -3 -2 -1 4 -2 What is the least possible degree of the polynomial graphed above?

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Q: Consider the following integral: 11 | 2ev* dydx = 0 x By reversing the order of integration, the val...

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A:

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A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. ncos(n) %3D A...

A: Given: an=ncos(n)n2+1

Q: cos x – 1 dx = ? 22n 22n+2 (a) E(-1)". (b) Σ-, (2n).(2n)! (2n +2).(2n+2)! n=1 n=1 22n+1 22n-1 (c) E(...

A: Given, I=∫02cosx-1xdx I=∫02cosxx-∫021xdx now solve both integral ∫02cosxxdx=∫021x1-x22!+x44!-x66!+.....

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A: Given,

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Q: INTEGRAL CALCULUS - INTEGRATION BY PARTS

A: Consider the provided integral, ∫ 4x·cos2-3xdx Solve the provided integral by using by parts formula...

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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

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A: Given data is : -π3≤θ≤-π6 -2&lt;r≤3

Q: sin x - x -dx ? 0. - 22n (2n).(2n)! (a) -" 00 (b) -)". 22n+2 (2n+2).(2n +2)! n=1 n=1 22n+1 (c) (-1)"...

A:

Q: O 2 Triangle PQR has the following measures: m2P= 19°, r = 6, and m/Q = 105°. What is the length of ...

A: The correct answer is option B. Given  m∠P=19°m∠Q=105°r=6 By the law of sines, a=bsinαsinβ where b i...

Q: The area between y= 3sinx and y= 3cosx on the interval 0, is 2 O a. 6/2 -6 O b.2 O c. Some other ans...

A: We know that, sinx&lt;cosx on 0≤x&lt;π/4 And , sinx&gt;cosx on π/4&lt;x≤π/2  

Q: Determine the area bounded by y = x + 1 and y=1-x

A: If   x=fy be a continuous function of  y on a,b,then the area bounded by the curve x=fy and the absc...

Q: Using power series compute sin x - x lim

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Q: (a) Find the exact surface area that is generated by revolving the portion of the curve y =x between...

A: Area under the curve y=x2 on interval 2, 4:A=∫ab|fx|dx  

Q: Locate all relative maxima, relative minima and saddle points (if any) for f(s, t) = 14s² + t³ – 14s...

A: Given- fs,t=14s2+t3-14st To Find- All relative maxima, relative minima and saddle points.

Q: Determine the volume of the solid formed by revolving the area bounded by y² = 4x and x²= 4y about t...

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Q: 2) Lucy is lying on the beach, flying a kite. She holds the end of the kite string at ground level a...

A: The length of the string is AC=400 ft. An angle of elevation is m∠A=48∘  The objective is to find th...

Q: tan(xy) - 2 lim (х, у) ->(1,0) у + 2хy (a) 0 (b) (c) (d) (e) 1

A:

Q: Evaluate the integral

A:

Q: For which value of b is the equation Σ 2n+1 3n +. 19 satisfied, 4 4n+1 n= 1 where b>2? (a) b=3 (b) b...

A: Here we will use sum of infinite Geometric series given by a/(1-r)  Where a is first term and r is c...

Q: Use your graphing calculator to solve the equation graphically for all real solutions a° - 6x + 3x+ ...

A: given,       fx=x3-6x2+3x+20

Q: Which of the following is the domain set of the function f (x,y) = arccos( x²+ y -3)+In(x²+y² -3)? %...

A: Given function,  f(x, y) = arccos(x2 + y2 - 3) + ln(x2 + y2 -3)  To find the domain suitable with th...

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Q: Q:

A:

Q: Give the period and amplitude of the following transformed trig function. Hint: If the numerator or ...

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Q: What is an interpretation of this graph in the lens of a calculus student?

A: Every graph has its own term of continuity and differentiablity. If we see the graph, it is clear th...

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.