What is the balance after 1 year in an account containing $1000 that earns a yearly nominal interest of 8% and is compounded (a) annually? (once per year)      (b) weekly? (52 times per year)     (c) every minute? (525,600 times per year)     (d) continuously?

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

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Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how man...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A: Here, the given DE is: y(x tanx+ln y)dx+tan x dy = 0⇒tan x dy=-y(x tan x+ln y)dx⇒1ydydx=-x tan x+ln ...

Q: Find the area of the shaded region: y y = x - 15 x 20 10 y = x (4, 4) -6 2 4 6. (-4,-4) - 10 - 20

A: QUESTION-  Find the area of the shaded region

Q: (2.13) Compute Lp(t), where P is the regular tetrahedron with vertices (0,0,0), (1,1,0), (1,0,1), (0...

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Q: 6. Find the derivatives of the following functions/curves: a) sin(y?) + cos(x²) = xy 1 — 2х | b) f(г...

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Q: a. Use the Taylor error bound to compu approximation given by T3. Show your work, state any definiti...

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Q: S10ze +ldr= Select one: O z'e* +l + c O 5e²+1 + c O 4re+1+ c O 6e +1 + c O None of the other choices...

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Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9x)-cos(4x) +c Select one: True O False

A: topic- indefinite integral

Q: f(t) = t−3 Find  f '(t). f '(t) =          Find the slope of the graph of the function  f(t)  at the...

A: On solving this we will get

Q: A community had an initial population of 6000 people in 1990. (a) First assume that the population ...

A: NOTE: Refresh your page if you can't see any equations. . the population decreased by a constant 100...

Q: f(x)=/2x-6 and g(x)=v-3x+12. The intersection of domains of f and g is: a. None O b. [1,4] Oc. [-4,-...

A: NOTE: Refresh your page if you can't see any equations. . as we know, the square root of any negati...

Q: lim f(x) 2. x2 6 7

A: Topic = Limits

Q: Sar en x² dx Given: Find: Formula o fe"du Sa"au

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Q: Given the differential equation y" + 7y' + 12y = 8x e-3x Determine the General Particular Solution f...

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Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =...

A: Find your answer below 

Q: 1. The graph of a tunction f is displayed below What is the limit of f(=) approaches O? +++ i23 456 ...

A: Given question:- What is the limit of f(x) as x approches 0

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: Differentiate the functions. a) f(x) = 1 – 6x +x7 b) f(x) = (x³ + 3)² %3D

A: a)f(x)=1-6x+27x7Differentiate with respect to x   f'(x)=-6+(27×7x6)  f'(x)=-6+2x6Derivative of f(x)=...

Q: dx Given: 2x-3xlnx Find: du dx 3 dx dx dx

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Q: Choose the angle (in radian) between the following two vectors u = (3, 7, – 8) and v= (-5, 4, - 3) O...

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Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales, x...

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the le...

Q: 3 y = log ( cos DIFFERENTIATE THE GIVEN:

A: The detailed solution is given below Thank you 

Q: S Зх — 5 Given: (3х- 1)(х - 3) Find: u 3x2 - 10х+3 Ох-3 3x2 +3 О Зх-1 O O

A: Topic = Integration

Q: The graph below is the function f(x) 4- 2. 4 8. |10 -7 -6 -5 -1 -- 10 -9 -8 -4 -3 -2 -2

A: Topic = Functions

Q: Consider the following graph. y 3 2 1 X -10 -8 -6 -4 -2 2 Identify the parent function represented b...

A: The objective is to identify the parent function ,the transformation represented by the graph and th...

Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys " 2

A: Given: x=8sin(y), 0≤y≤π2

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p=40-4r? ...

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Q: Consider the region bounded by the graphs of y=In x, x=1, and y=1. Which of the following integrals ...

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Q: 1 8. If y = 1+ a) Prove that y' = 0. b) What kind of functions have derivative 0 ? c) You can actual...

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Q: A spherical balloon is inflated with air flowing at a rate of 15 cm/s. How fast is the radius of the...

A: The formula to calculate the Volume of the balloon is:              V=43πr3 where r is the radius of...

Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: List the first five terms of the sequence a, = 3, a, = 1, an+1= 5an – 2an1 a1= Number a2 = Number az...

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Q: 5. Find the limits: a) limg→0 4 – Vx + 16 Vz – 3 b) limz→9 z - 9 t +2 c) lim→-2 |t+2|

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Q: Find fo g, g o f, and g o g. f(x) = 2x, g(x) = x4 %3D (a) fog (b) gof (c) gog

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Q: sinx + cosX dx e-X + sinx

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Q: lim +2-3t メー→3 十-3

A: Topic:- limits

Q: 2. Use the limit definition of derivatives to find the expression for f'(a) for the function 1 f(x) ...

A: Here ,               We have given a function now we have to solve it by using definition of limit f...

Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

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Q: . Find the equation of the line tangent to the function at the given value of x. . Use a graphing ut...

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Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given problem:- Find the volume V of the solid obtained by rotating the region bounded by the given ...

Q: 11. sec(x)/sec(x) + tan(x)dx

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Q: Solve the absolute value. 4x + 3 7 then x = 3 Enter your solution(s) as integers or reduced fraction...

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Q: 2 2x 6. lim X-3-x-3 x2-9

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Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select o...

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Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: Solve the absolute value. 2 – 2x + 13 = 5 then x = Enter your solution(s) as integers or reduced fra...

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Q: Function f(x, y) = 7x – 8y + 2xy – x² + y° -

A: we need to find the extreme points of f(x,y)=7x-8y+2xy-x2+y3  

Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

A: