How much should Alexandra's dad invest into a savings account today, to be able to pay for Alexandra's rent for the next six years if rent is $950 payable at the beginning of each month? The savings account earns 3.75% compounded monthly. Round to the nearest cent

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Q: Is the sequence divergent or convergent? {vn - vn+1}

A: n  - n+1 =(n  - n+1) (n  +n+1 )/(n  + n+1) n  - n+1  = (n - n - 1)/(n  + n+1)  n  - n+1  =  - 1/(n  ...

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Q: 7. This problem requires calculus. Let P = {a,x" + an–1x"-1 + ...+ a1x + ao | n > 0, ao, . ., an E R...

A: Given P is a set of polynomial function of degree n of real co-efficients and a function F:P→P such ...

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A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...

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Q: 72. Existence of integrals For what values of p does the integral dA exist in the following cases? a...

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Q: The 2nd order PDE uzz +I Uyy = 0 is hyperbolic if: A) x 20 %3D (B) x > 0 (C) z< 0 (D) z<0

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Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

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Q: Find the solution of the following initial value problem: An 14a,-1- 49an- 2; ao = 0, a1 = 6 %3D an ...

A: Let us take an=rn. So, the characteristics equation will be       r2-14r+49=0⇒r=7, 7 Further, we hav...

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Q: Find the Taylor polynomials of orders n = 0.1,2, 3. and 4 about 2 = x, and then find the nth Taylor ...

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Q: Evaluate the integral S 4x4 – 12x² + 7 xdx (2x2 – 3)/4x4 – 12x² + 7 + 2ln|2x² – 3+/4x+ – 12x² +7]} +...

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Q: 1+ In x 6. Find f (x) so that when u =f(x) the integral dx can be tan(f(x)) rewritten as cot u du . ...

A: This can be evaluated as follows:

Q: 11. The integral of tan(In|4x²|) dx is bln|sec(ln(2x)ª)|. What is b? А. 2 В. 1 D. ! С.4 4

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Q: Find the second derivative of the function. 1+20 (2-0) 20

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Q: An swer the po llowrng lim f (x) xータ-2f 2. Im t(x) Inn

A: Given

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Q: 11. The integral of an(In|4x=12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. С. 4 D. I

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Q: f(x) = (x2 + x) (x* - 6x)3 %3D

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Q: ts Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box...

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Q: Use long division to find quotient  x3 + 2x + 4        x - 3

A: By using long division find quotientx3+2x+4x-3

Q: A 45-foot wooden ladder leans against the wall of the castle so that the angle between the ground an...

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Q: 2. Consider the following graph. 2- -2- What is the equation of the asymptote present? A. y=3 В. х%3...

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Q: Consider the sequences Which of these statements is correct? 8. A. The sequence converges to 0 O B. ...

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Q: he given values of the ndicated derivative.

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one roo...

Q: 18. dx The integral - can be rewritten as V1 - x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī -s) s--00 s--00...

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Q: Find the radius of convergence of the power series. (If you need to use co or -0o, enter INFINITY or...

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Q: Please do 35

A: We have to find the monotone intervals, local maximum and minimum values and concavity intervals.

Q: 1. It is the value for natural exponential fur 2.It is a function which is continuous at eve 3. It i...

A: We will solve 3 parts only 

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)3 f(x) =

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Q: 4. Ifu = f(x), then : dx = J x* + 2x² + 1 k + C for some constant k. x² + 1 Compute kf (1). (a) ¼ (b...

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Q: In3 ex i. dx In2 4- ex i. X/16 - Inx e 1 iI. i xInx In2 1 dx Ino.5 e2x + 1 iv.

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Q: Calculate the respective marginal functions for the following total cost/revenue functions. you stat...

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Q: Given the set B = (-4,7]n (-1, 10) - (7)- The supremum of B is

A: Explanation of the answer is as follows

Q: Given F(s) = L(f), f(t), a, b, L, n are constants. Show the solution. 1 1) (s+v2)(s-V3)

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Q: Find the Taylor Polynomial of orders n = 1,2,3, and 4 about x=x0 and then find the nth Taylor Polyno...

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Q: 5. Complete the following short answer questions.. You do not need to show any work. 3 a. Express th...

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Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x) Σ

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Q: ах + b Differentiate f(x) = where a, b, c, and d are constants and %3D сх + d' ad - bc 0. | f'(x) = ...

A: Given: f(x)=ax+bcx+d, where a,b,c, d are constant and ad-bc≠0

Q: 8. dx du The integral reduces to k, where u = f(x) and for some ex + 1 constant k . Compute f(1). e ...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Homogeneous Equations [x csc() – y] dx + xdy = 0 O In = cos() In/cos(;)| = = CX

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: Using Bernoulli equation. Follow step 2nd . 

Q: az dz 10. Compute and for the following equation. dy ,3 eY + xz2 6xy*z³ %D

A: The given equation is: ezy+xz2=6xy4z3...(1)