Suppose you decide to wait 5 years to save up before buying the house.  You are able to put a down payment of $30,000 on the house, so that you only need to borrow $170,000 from the bank.  Assume the interest rate is still the same, but you are now in a better financial position, and you can pay off the loan in 240 equal monthly payments. Answer the following questions about this loan.

Q: I. Evaluate the following integrals. 1 1. -d.x x(9 – In² æ)5/2°

A: Given

Q: Given: Cn . Is the sequence {c, , convergent or divergent? tan-in

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Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: Determine whether the following series is convergent or divergent (-1)"3n² 4n2 –1 (b) n=1

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Q: y= ( х-6 3 1. у %3 Зx+4,

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: e20 -do 1+ 3e20

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Q: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

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Q: rsincr3) drdo

A: To evaluate ∫0π3∫θπ3r sin(r3) dr dθ So, the region of integration is bounded by r=θ, r=π 3& θ=0,…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: 1 In solving the antiderivative of f(x) = 2- 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx To find: ∫f(x)dx We know that, sinx = 2tanx21+tan2x2

Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

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Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

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Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

Q: What is the area of the region bounded by the graphs of y = x and y = x°? Answer is in square units.…

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Q: VIII. Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2…

A: By using the 3rd Degree Maclaurin  polynomial for gx=x cosx2 to approximate the value of 0.2 cos0.1.

Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) -

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Q: 6a2 + 23.x – 9 The antiderivative of f (a) = is F (x) = a ln (æ + 3|) + bln (lal) +d In (r – 1|) +C…

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Q: Given a series tan '(n) 1+n? n=1 a. Show that given series satisfies the conditions for integral…

A: Given a series ∑n=1∞tan-1n1+n2a To show that the given series satisfies the conditions for integral…

Q: Evaluate: /4 * 2 sin-1 (플)-zv4-H + C A | f (x) = (В f (x) = 4 sin- (5) + xV4 – a² + C © f (2) = 2…

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Q: Calculate the following limit: lim,→4 4 x-4 O -1/16 O4 O -4 O does not exist

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Q: find dy/dx. y= (cosx-pix)^(4x)^5

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Q: What will be the output of the following code snippet? #include int main() { int a = 3, b = 5; int…

A: Here is the solution

Q: Given: (-3)"(х — 2)" Vn + 2 n=0 Determine the radius and interval of convergence of the power…

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Q: IV. Determine if the given is convergent or divergent. #3. S sin(2 tan¬1 n – n) Σ (2 tan-1n – 1) n=1

A: Solution is given below:

Q: 4). | (5 sin 2x) dx = 2

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Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

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Q: The antiderivative of f (x) = Ga“ + 23x – 9 is F (2) = a ln (Jæ + 3|) + b ln (Jæ|) + d In (r - 1) +C…

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Q: Calculate the derivative of the function xe" at the point x = 0 %3D O 1 e O 2e

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Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: 62" cos (2") . 6x° cos

A:

Q: 2. Use integration by parts to evaluate the following. (a) S x tan-x dx

A: Given

Q: 3 < x < 2/3 < x < 3/2

A: We have to choose the correct option from the given options according to the given information

Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: п(х — 2)" 3" (2n – 1)3 Consider the power series n=1 a. Show that the power series converges when x…

A: Given the power series  ∑n=1∞n (x-2)n3n (2n-1)3

Q: A thermometer is removed from hot water at 100° C into a room at 20° C. The temperature difference D…

A: Answer should be 20.254°C.

Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: Let f(x)=2x2-12x+8. Function f(x) has one minimum point at.. Diketahui f(x)=2x²-12x+8. Fungsi f(x)…

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Q: n(x – 2)" 3" (2n – 1)3 - Consider the power series n=1 a. Show that the power series converges when…

A: We have to check the given series is convergent for x=5

Q: Consider the function f(x) 5x + 1 (a) Find the Maclaurin series of the function f(x), stating your…

A: Let's find.

Q: sin (t) -dt 3 (4+ cos (t))?

A:

Q: Q2) Solve the D.E xdy + (2y – xª + 3x)dx = 0

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: Find the value of 7x²e-3 Determine whether ) (7n’e- ) n=1 Enter C if series is convergent, D if…

A: Let's find.

Q: The tangent line equation of x++y“=32 at point (2,-2) is... Persamaan garis singgung kurva x4+y*=32…

A:

Q: 22n (2r 1)". Vn2 +1 nsider the power series n=1 1. Use alternating series test to show that the…

A: Given series ∑n=1∞  22nn2+13  (2x-1)n

Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

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Q: ´ax²-3 -, x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .. (bx +2,x <…

A: To find the values of a and b that will make the function continuous everywhere.