-6 5 4 The plot above is created with the paramet S«(t) = a cos(bt) ly(t) = c sin(dt) To acheive this graph, a b = C = d =

Q: Q9/ Find the centroid of the region enclosed by the cardioid r = 1 + cos 0.

A:

Q: Suppose that you earn $39,600 per year. What is your monthly salary? $ 3300 Assume that you deposit ...

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Q: how detailed solution for all. Provide the Maclaurin series expansion of f (x) In(3 – 2.r) Find its ...

A: Macluarin series expansion

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A: We will use fibbonacci sequence to find the limit.

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A: We are given the heat equation as ∂u∂t-∂2u∂x2=0. Now, we will be approximating the heat equation by ...

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A: Given that  for any sets A,B,D, if B⊆A then D-A⊆D-B We have to check that the above statement is tru...

Q: 18.8. (a). Let y be the contour z = e", - TOST traversed in the %3D positive direction. Show that, f...

A: To solve the given question we shall use the following formula: Cauchy integral Formula: Let C be a ...

Q: Find the volume of the solid that is enclosed by the cone z = and the sphere x² + y2 + z2 = 72.

A:

Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 - 3x1 = 12 + X...

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Q: Let S = {2,5, 10, 17, 26, .}. A one to one correspondence f : Zt S which shows that S is countable, ...

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Q: Find the area of the region cut from the first quadrant by the cardioid r =1+ sin 0.

A: The area bounded by a polar curve r=f(θ) in the domain: a<θ<b is calculated using the formula:...

Q: (t – 9)y' + ty = t + 10 Find the largest interval on which the solution of the initial value problem...

A:

Q: Activities A Refer to the figure on the right to determine whether the given proportion statement is...

A: We use basic propotionality theorem 

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A: Introduction: The percentage is very important in mathematics. The figure x% means that out of 100, ...

Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 8. For any sets A, B, ...

A:

Q: Solve the following ODE using Laplace Transforms Method: y'+y=2sinx when y(0) = -1

A:

Q: (a) Use the definition of the Laplace transform to compute L{cosh(at)}, where a e R\{0}. What's the ...

A: Laplace Transformation: Definition: Let f(t), t≥0 be a function, then F(s)=∫0∞e-stf(t)dt provided th...

Q: Determine b4 of the periodic function as shown. Round-off to the nearest thousandths places.

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Q: 2. Give an example of the following (justify the validity of your examples): (a) unbounded sequence ...

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Q: From first principles (ie, by using the integral definition), find the Laplace transforms of: (a) f(...

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Q: 1 2 ху s S xe^ dx dy xy 0 0 –1

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Q: The goal of this problem is to justify the following statement by using the Comparison Test for seri...

A: To prove the given statement using the comparison test.

Q: Use cylindrical coordinates. Evaluate II (x + y + z) dv, where E is the solid in the first octant th...

A: To evaluate the below triple integral using the cylindrical coordinates, where E is solid in the fir...

Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 - ...

A:

Q: Facebook Twitter 4 9 1 3 1 4 2 Google

A:

Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = x² + y2 a...

A:

Q: f(t) 1 2π

A: Graph of periodic function is given. We determine b4.

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A:

Q: correct answer for all parts

A: Zeros of the polynomial

Q: Question 1 Find a vector equation of the line passing through the point P(1, -1, 3) and parallel to ...

A: We have to find the vector equation of line which is passes through P(1,-1,3) and parallel to the gi...

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

A: Interval of increasing and decreasing

Q: Find the equation of the surface of revolution that is generated by rotating the straight line y = x...

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so h...

Q: Consider the system of differential equations dx = 0.3x – 0.02xy - dt dy 0.2y + 0.016xy dt Where x a...

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Q: 4 1 5. X 14 4b +5 6 6. 5b -11 9 %3D

A:

Q: If X = {1,3,4,15}, Y = {2,3,4,7} and Z = {2,4,6,9}, then what is X U (Y N Z)? а. {2,4) b. {4} c. {1,...

A:

Q: Find the solution of the system of linear equation and the value of the determinant of its coefficie...

A: The system of linear equations are:w+2x-y+z=6-w+x+2y-z=32w-x+2y+2z=14w+x-y+2z=8We have to find the d...

Q: +oo +oo n² – 1 n2 +1 (-1)" (a) Σ (c) )un where sn = u1 +... + un = n! n=1 n=1 +oo 1 - 11 n=1

A:

Q: ) g"- (x+)g'-y -o =0

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Q: Consider the solid Q that is generated in the first octant by the surfaces S, : 2x + 3y + 3z = 6 S,:...

A: The region S2 is clearly a parabola y2 = 2-x and it is symmetrical in the x-axis. 

Q: Proposition 12. Let n be a поппедative integer. Then 3|(52n - 1). Hint: Try induction on n. Proof.

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Q: Q7

A: We use theorem of linearly independent and linearly dependent vectors.

Q: Proposition 8. Let m be any integer. If 5|(7m), then 5|m. Special directions: You can not use your p...

A: If gcd (a, b) =1, then there exist integers p and q such that ap + bq =1Here gcd ( 5,7) = 1 so there...

Q: = 60x – 6x2 – 10xy ly' = 63y – 7y? – 9æy %3D Find the critical points (equilibria) for this system. ...

A:

Q: Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), th...

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Q: Evaluate the integral of (t-i)^3 from 0 to 1 where i=sqrt(-1) choices:  a. -5/4 b. 7/4 c. 4/3 d...

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Q: 6. In a plane, if X is the only point of line / that is on 00, then / is to 0.

A: We need to solve the question 6. Given an incomplete statement :                   In a plane , if X...

Q: Evaluate the integral by changing to cylindrical coordinates. 100 - y? 10 10 xz dz dx dy x² + y? -10...

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Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

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Q: Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the stru...

A: Given that V be the vector space of polynomials of degree ≤2 with real coefficient, endowed with the...

Q: Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle. Y...

A: Given, the side lengths                                  11, 13, 25