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Q: The height h and semi-vertical angle a of a cone are measured and from them A the total area of the ...

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Q: a) Find all m 2 1 such that 27 = 9 (mod m).

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: We hit 1 on a calculator, then repeatedly hit cos button. What is the fixed point iteration? Find so...

A: According to the guidelines, we are required to answer only first two sub-questions. Kindly post the...

Q: Solve the initial value problem below. 3y6) +2y" = 0, y(0) = – 1, y'(0) = 0, y"(0) = 1 y(x) =

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Q: Find the Laplace transform of tet-1u(t-1)

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Q: Over the past 40 years, Interest rates have varied widely. The rate for a 30-year mortgage reached a...

A: Given: A home sells for $125,000. A down payment of $25,000 can be made. So, $100,000 needs to be bo...

Q: QID You have been given the paraumetric curve shown be low. oc = 6 + 9t°, y= 3+ 6t9 Figure out what ...

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Q: a. Find the most general real-valued solution to the linear system of differential equations -2 -36 ...

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

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Q: Let y be a solution of the differential equation 2 T+y- I+y+I , where x + y +1>0 for all x, y such t...

A: We will solve the given differential equation using substitution and initial value .

Q: The dissecting room of a certain coroner is kept at a constant temperature of 5° C. One day the coro...

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Q: 7.A spring is suspended from the ceiling. It is pulled down and released, and then oscillates up and...

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Q: According to the nutritional information on a package of General Mill's Honey Nut Cheerios brand cer...

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Q: Find the angle 0 between the vectors. (Round your answer to two decimal places.) u = (-3, –5), v = (...

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Q: e volume of the figure

A: Given,            

Q: 20 Reflect Here are two paint mixtures: 3 cupr of thito and 4 qunn of

A: The ratio of white to blue color is 34 also 6 cups of white and 8 cups of blue is 68 simplify 68=6÷2...

Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: Assume that you take out a $2000 loan for 30 months at 9.5% APR. What is the monthly payment - $75.1...

A: It is given that a loan amount of $2000 is received for a time period of 30 months at the rate of 9....

Q: 20. The equation of the parabola is x² + 16y -8x + 16 = 0. Solve the following. Srandard form of the...

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Q: Let S be the set of all strings of a's and b's of length 3. Let B = {0, 1}. Let f: S B be defined as...

A: S be the set of all strings of a's and b's of length 3 . Then to find f(aaa) , f(aab) , list all the...

Q: 9 is a ge roup G, tl

A: d. TRUE If possible let n is not prime ω. G is cyclic ,G=n n not prime⇒n composite and n=pq where of...

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1+ i).

A: The problem is regarding complex analysis. We have to reduce the given trigonometric into real and i...

Q: Let G be a finite group and H1, H2,., H be subgroups of G. ..... (a) Show that NHi = H1N H2 n..n Hk ...

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Q: Find the Laplace transform of t cosh 2t

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Q: Given the surfaces: S : y? = S4 : y + z = 6, S5 x 0, S6 : y = 0, S7 : z = 0. 2x – 4, S2 : x +y = 6, ...

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Q: 1. Evaluate the following integrals: a) dx 17 + x2 b) . dx xV5x2 – 4

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Q: Approximate the value of f'(0.50) if f(x) = 5ln(3x) + 6cos(3 - 7x) Using Centered Differencing. h = ...

A: Given equation is f(x) = 5ln(3x) + 6cos(3 - 7x)

Q: hird question: Using the simplex method, find the solution to the

A: Given,       Max.(Z)=42x1+7x2subject to constraint:           3x1+4x2≤12           5x1+3x2≤15and    ...

Q: Suppose that E Cn x" is a power series with interval of convergence (-3, 3) and that Cn a" converges...

A: There is no change in the interval of convergence of a series if we multiply is by a polynomial. Als...

Q: A circle is defined by z² + y² = 9. The area bounded by circle and y-axis on quadrant II and III is ...

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Q: For any triangle, the sum of the measure of the three angles equals 180°. Two of the angles have the...

A: Given that for any tringle sum of the measure of the three angles equals 180° That is let A, B and C...

Q: ind and classify all critical points of the function f(x,y) = 3x²y + y³ – 3x² – 3y² + 2.

A: We have to find and classify the critical point of f(x,y).

Q: please answer letter a only

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Q: Prove that for every integer n 2 0, gcd(Fn + 1, Fn) = 1.

A: Given: Fn is a Fibonacci sequence, with F0=1=F1. To prove: For every integer n≥0, gcdFn+1, Fn=1.

Q: Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, i...

A: Given,         AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, and the sum of the opposite angl...

Q: Determine the area bounded by the conic sections y = x² - 6 and y = 62 – x2. O 183 O The curves do n...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: The foci of an ellipse E are F1(-9,-4) and F2(3,-4). A parabola whose vertex is the center of E and ...

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Q: Let y be a solution of the differential equation y = 3, where x > 0, y > 0 2ry such that y(2) = 6 . ...

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Q: b) Use the Ratio Test to determine if the series converges diverges. or n5" (2n + 3)ln (n + 1) n=1

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Q: 18. The equation of the parabola is y? + 24x + 144 0. Solve the following. Standard form of the para...

A: Let us consider the standard equation of parabola y-k2=4p(x-h) Vertex of parabola is (h,k) Foci of ...

Q: In what direction from the point (1,-1) is the instantaneous rate of change of 22 f(x,y) = 3x* – 10x...

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Q: If the universal set is given by S = {1,2,3,4,5,6), and A = {1,2}, B = {2,4,5), C = (1,5,6) are thre...

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Q: Approximate the value of f"(2.156) if f(x) = 2tan(x) + %3D cos(2x). h = 0.003 %3D O -18.22610955 O 8...

A: Here the given function is f(x) = 2tan(x) + cos(2x)

Q: Find the area of the surface obtained by rotating the curve y? = 4x + 4, 0 <x s 8, about che x-axis.

A: We have to find the area of the surface obtained by rotating the curve y2=4x+4, 0≤x≤8 about the x-ax...

Q: 7. Fill in the blanks Let y be a solution of the differential equation y' + !y = -2a°y*, where a > 0...

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Q: Let = ary- + ba-y", with a and b constant. Pis a point given by (-1,-1) and it is known that (P) = 2...

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Q: Give an example of a linear operator TE L(R*") which is not diagonalizable. Justify your answer.

A: give an example of a linear operator T∈Lℝ3,1 which is not diagonalizable. justify ur answer. it is k...

Q: Find the solution using the varation parameters formula

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Q: We hit putton. 1 on a cale

A: According to the guidelines, we are required to answer only first two sub-questions. 

Q: Use the Summatioi formulasS to Ite the expressioi witriouL the surimation nolationI. 6k(k – 1) n3 k=...

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