You invest $2100 in an account at an interest rate r, compounded continuously. Find the time required for the amount to double and triple. (Round your answer to two decimal places.) r = 0.015 a) double ________yr b) triple __________yr

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Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³/y2 + z² at the pointP,(2,3,4). ...

A: Given that        f(x,y,z) = x3√(y2+z2) 

Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

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Q: ソニqett 10 =50e-0,0357+ 5oe ○.2 ニe-0,0357ナ Inco.2)ニ =-0.3577 Tニ

A: y=aekt10=50e-0.0357tDivide 50 on both side1050=e-0.0357t15=e-0.0357t0.2=e-0.0357tapply ln on both si...

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Q: 9-30. Shell method Let R be the region bounded by the following curves. Use the shell method to find...

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A: The objective is to show whether the sequence is strictly increasing or decreasing.

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Q: Use cofunctions of complementary angles to complete the relationship. cos(42°) sin Additional Materi...

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Q: 7 1. f(x) = 6 {/x? – 20 {x* + 4 find f (4) (x).

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Q: Given that lim f(x) = 2, lim g(x) = – 4, lim h(x) = 7 find the limits. Enter the exact answers. (a) ...

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others parts as...

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATION (4x3y – 15x2– y )dx +(x4 +3y2– x)dy=0

A: A differential equations of the form, M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x  

Q: 16. Evaluate S x² cos(x³) dx a.) -sin(x³) + C b.) sin(x') + C c.) - sin(x³) + C d.) sin(x') + C

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Q: curves

A: Please refer to the image below

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Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

A: We need to find the differential equation of the family of curves described below: All tangent lines...

Q: Evaluate the following integral sec(/T) tan(VT) dx

A: The given integral,      ∫secx tanx dx

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Q: etermine each function's domain and range. If applicable, use a graphing utility to confirm the hand...

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 3...

A: The given curve,  y=x+2x-23 at x=1

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Use geometric series test to solve given problem.

Q: d 10(X (x) + tan (x*)) = dx

A: Solution:

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Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

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Q: 1 Elminobe the arbitrary conetants Y- C,e COS 2X

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Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

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Q: [1+sin x) 'cos x dx (sin x)4 +C A ) x+ sin x + B -(1+ sin x)*+C (sin x)4 -+C 4 sin x +

A: Substitute, 1 + sin(x) = t

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Q: Let f (x) = V. Find the smallest number 6 such that if |a- 8| <8 then |f(x) - 2| < 0.1. Round answer...

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Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.) ...

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: Find for the following function. dx 4 sin x y = 9 -8 sin x dy dx II

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Q: 2w²+9w+ 1 dw is the same as w +4 A dw w +4 2w +1+ 3 dw w +4 B 2w – 1 - 3 dw w+4 2w +1- 67 dw w +4 2w...

A: Given that           ∫{(2w2+9w+1)/(w+4)}dw

Q: 3lnx – 3lny The function f (x,y): x-y Nonhomogeneous Homogeneous of degree 2 c) Homogeneous of degre...

A: The given function is: f(x,y)=3ln x-3ln yx-y          =3(ln x-ln y)x-y          =3 lnxyx-y

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Q: Consider the initial value problem and find the solution: a. y" – 3y" +y' + 5y = 0, b. y" + 2ay' + (...

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Q: 2 y = | (x 3. 4x + 5) dx

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Q: Radium decomposes at a rate proportional to the amount present at any instant. If initially there w...

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Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C -7 f -$ -4 -B O 1 2...

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Q: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*) 01=yt...

A: we have to find the solution of  given differential equation.

Q: 1. y' = e-" (2x – 4) y(5) = 0 2. dy = by°r y (1) = dz 1 25

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Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the...

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Q: dw 4 Which of the following characterizes the differential equation +v= 0? A 2nd order, 4th degree O...

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Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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