An employee wants to invest ​$60,000 in a pension plan. One investment offers 5​% compounded quarterly. Another offers 4.25​% compounded continuously.   ​(a) Which investment will earn more interest in 5 ​yr? ​(b) How much more will the better plan​ earn?       Question content area bottom

Q: + 1) IM8 n=1 Determine which of the following series converge: 2 + cos n 3n

A: Test for the converges by ratio test and comparison test

Q: Solve the initial-value problem x²y" + 3xy' + y = 0, y(1) = 4, y'(1) = -2.

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Q: 2. Let g(x) = f(t) dt, where f is the function whose grap is shown. ban d bas a meward > Indi rique…

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Q: The following are rotation quaternions: p = [0.906, 0.061, 0.328, 0.259] q = [0.946, 0.203, 0.242,…

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Q: 2. y" + xy = 0, y(0) = y(1) = 0

A: Since there are many questions, therefore find the solution of the first question.

Q: Give one mathematical conjecture that is about geometry and solve it

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A: Answer  Given p(x)=108+9x-140x2 and B={4x2-3,16x2-12-x,28+2x-36x2}

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Q: Find the equation of the function f whose graph passes through the given point. (Remember to use…

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Q: By dragging all of the statements from the left column to the right column below, display a complete…

A: The given integration is : ∫25 x2dx It can be written as: ∫25 x2dx=limn→∞∑k=1nf(xk)△x   ,where f(xk)…

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Q: is this a negative or positive

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Q: Let f: R² → R be defined by f((x, y)) = -9x - 7y - 9. Is f a linear transformation? a. f((x₁, y₁) +…

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Q: 9. A self employed individual, Jimmy Carpenter, is opening a retirement account at a bank. His goal…

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Q: Show instructions Question 1 (5 points) A $14,000 loan at 6% compounded monthly is repaid by monthly…

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Q: Frequently, we encounter a need for two (different) linear transformations to transform a…

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Q: ² day 34, dx2 5x ..... Que ſe Dr. D. Xÿ...... h 28. dy dx e tutte hich 3x. ohr. Re...........

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Q: Find the Jacobian of the transformation: x = 10. es+t y = 3.es-t Jacobian (in equation form) = Hint:…

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Q: Evaluate the following: d/dx lower limit interval 1 and upper limit interval sin(x) t^2 dt

A: We have to find the derivative of given integral.

Q: If f'(x) = g'(x) on the interval (a, b), then f(x) = g(x) on (a, b). O True O False

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Q: Evaluate the iterated integral 3 1- -cos (2) 2 06 0 3 - 3 cos (4) O 12 sin (2) .6 S² S²S (²³) 0 xdz…

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Q: Consider the definition of the limit of a sequence in calculus. We can say that the limit of a…

A: The given problem is to find the negation of the given statement for the convergence sequence.

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

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Q: 4. Identify the conic using the indicator. By a rotation of the coordinate axes, transform the…

A: Note the following fact :

Q: Let r = 17. For both of the following answer blanks, decide whether the given sequence or series is…

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Q: Eliminate the arbitrary constants Inx = Asin3y + Bcos3y + 9x² - 5

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Q: Find the indefinite integral. (Use C for the constant of integration.) S e 6 dx + 1

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Q: Find the area under the standard normal curve between the given z-values. Round your answer to four…

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Q: (2) Two archers shoot at a moving target. One can hit the target with probability 1/4. The other can…

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Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t) =…

A: Rate of spread of f(t) = df(t)/dt So, df(t)/dt = 4√t      => df(t) = 4√tdt Integrating both…

Q: Find a basis for the space of polynomials p( x) of degree :S: 3. Find a basis for the subspace with…

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Q: Find the solution to the differential equations sec³ xdy = csc² y dx y (n) = 514 TT

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Q: Find the Jacobian of the transformation x u² – 5v², y y = - 5uv .

A: Here we find Jacobian of given transformation.

Q: Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule…

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Q: Let C denote the positively oriented circle |z| = 1. Show that cos(z) dz= CZ(z + 8) πὶ 4

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Q: 4. Let f: R² R2 where f(x, y) = (y³, x + y) and C = = (1,0).

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Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A: A forest fire is found at midnight. It cover 1200 acres then it is spreading at a rate of ft=5t…

Q: . Which probability is relevant for determining whether 4 is a significantly high number of…

A: From the given information, X  P(X) 0  0.187 1  0.407 2  0.258 3  0.119 4  0.028 5  0.001

Q: Kyla wants to have an annuity payment of $400, at the end of each six months. Use the appropriate…

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Q: 6 Let ---B = -8 by T(x) A - a 1 b₁ 8-0- a2 X b₂ az b3 = v x x. = a₂b3-a3b₂ a3b — abვ La₁b₂-a₂b₁_ 3…

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Q: f(t) = 0 3+6t² 0 = in terms of unit step functions and hence determine F he Laplace transform of…

A: We have ft=0t<03+6t20≤t<60t≥6 We know formula for the Laplace transform of f(t) is…

Q: Solution: Let (x, y) be old coordinates and Cr', y') be the new coordinates. The relation bet? them…

A: Note: As per your requirement, the digital format of answer is given below.   Let (x, y) be old…

Q: Find the Laplace transforms of the following functions using the definition L{f(t)} =fe-st f(t)dt. =

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Q: 12. Draw a frequency curve for the following data. Monthly Wages (in Rs.) 0-1000 1000-2000 2000-3000…

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Q: Assume that random guesses are made for 2 multiple-choice questions on a test with 2 choices for…

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Q: solve for the de using inspection 2ydx + x(2+x²y)dy = 0

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Q: Find a parametric representation for the surface. the part of the sphere x² + y² + z² = 4 that lies…

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Q: {(a, b) ab >0} | {(a, {(a,b) | a² > b} ¯ {(a,b) | a² = b² (mod 7)} b)|a>b-1}

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Q: Determine the roots of f(x) = -12-21x + 18x²-2.75x³ by the following: (a) Graphical Method, (b)…

A: Given: The given non-linear equation is fx=-2.75x3+18x2-21x-12. The initial guesses are xi=-1 and…