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Q: Q, Solve he differnktial equntion by Laplace troms form. ý-y =t, yW=1, ý(0) =1

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Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is ...

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Q: Cancel Save Question Find the value of all the unknown angles 15 *+ 20 G

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Q: Solve the initial value problem y" – 3y' – 10y = 0, y(0) = a, y'(0) = 8. Find a so that the solution...

A: Solve the given differential equation using the given condition.

Q: Determine the odds in favour of rolling the sum of 9 or more, with a standard pair of die. Fill in t...

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Q: d/dx (xnJn(x))=xnJn-1(x)

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Q: H.W 1- Find Po, F, A (Seasonal - hai) for the cash flow shown below: 3 x 10 IQD 700,000 IQD 300,000 ...

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Q: (2) Let x, y E R. Then: (a) 3r€ Q3 x <r<y, (The Density theorem of the rational numbers). (b) 1* 3z€...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the prob...

A: Consider the  number of cream cakes as x then use the given information to obtain value of x.

Q: 5. Consider the function f(x, y) = x* + y* – 4xy+ 1. (a) Find all critical points of f(x, y). (b) Us...

A: Maximum and minimum of the function, using second order derivative test  

Q: A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at t...

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Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and ...

A: Here we use complementary approach. First we find total ways of seating of ten leaders and then cons...

Q: Q5) find the inverse of the following matrices: sin(0) lo 31 ,b) B = [ ]. •) R = [ coS(0) sin(8) 2 0...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Q2. Let a b c A = |d g h Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A) a d (d) ...

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Q: Зх — 8 If 3 3 = 0, then x = ? 3 3 Зх — 8 3 Зх — 81 3.

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Q: -. Which coordinate plane is closest to the point (7, 3, 8)? Find an equation of the sphere with cen...

A: we have to find the coordinate plane that is closest to the point 7,3,8 and also find the equation o...

Q: Discuss. Difference between the assumptions of Harrod-Domar and the Solow-Swan models on the nature ...

A: The main difference between the Harrod- Domar Model and the Solow Model is that each ofthe models re...

Q: Suppose “a” is an integer. If 5|2a, then 5|a.

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Q: c) The operation (ao + a1r + azx², bo + bịx + b,x²) = aobo + a¡b1 – azbz defined on P2 has all the r...

A: We have to check whether the operation defined on P2 satisfies all the properties to be an inner pro...

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

A: The given problem is to show the given sum and product of two complex numbers in terms of polar coor...

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: ', Test for convergence the series 211 312 4N3 5V4

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Q: A right circular cylinder has radius 3 units and volume 72π. What is the height of the cylinder?

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Q: Rodrigues formula prove

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Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely...

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Q: Test for convergence the series 3 5 1 (i) 1.2·3 2.3·4 ...... 3.4.5

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Q: 6. Find the aheolute mininmam and absolute maximum values of f(r) - 3r-4r-36r, -3 <I5 5.

A: Given function is f(x) = 3x4 - 4x3 - 36x2

Q: 3. A curved surface is described by z =(x² + y³)³/4. a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2...

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Q: Vn +1- n –1 n=1

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Q: The swimming pool can be filled with water in 10 hours using 6 hoses. How many hoses are needed if y...

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Q: t+/t+vE lim t→+∞ Vt+1

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Q: (ABI6 · Di6)- (11001,– 101,)+ (7g · C16) = N0 -10)-(– -10) =. -10×, -10--10) + -10

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Q: There were 600 students who answered a transportaion survey. Of those surveyed, 159 said that they o...

A: Let U be the set of total students who answered a transportation survey. A be the set of students wh...

Q: 1 find the length of the curve x = 7y* + y2, from y = 1 to 24 y = 2.

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Q: Sketch the graph of P(x) = x*(x+ 6)(x – 4)*(x – 7)². Scale is not important, but your graph should h...

A: We have to sketch the graph of p(x).

Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

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Q: Show that the following limit ry lim (.v)-(0,0) 22 +y? does not exist.

A: Substitute y=mx, and check by applying limit.

Q: Consider the parallelepiped with adjacent edges u = 8i + 4j + k v = i+j+9k w = i+ 9j + 4k Find the v...

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Q: [1 27 3. Let A = 1 3 Let the vector space V consist of all 2×2 matrices а X : с d b such that AX = X...

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Q: The Maclaurin serles for f(x) = x²elz) is: (-2)*z*+2 (b) 00 (e) None (2)-kyk+2 2(k)xk+2 (c) 2kyk+3 (...

A: Any function which is differential then the function can be written in the polynomial  A Taylor  ser...

Q: 1. Find the Fourier Sine Series for f(x) = sinx (0 < x < n ) %3D

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Q: A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the B...

A: A box with a square base and an open top must have a volume of 500 cm. To find: The dimensions of th...

Q: Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row operati...

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Q: 2. Evaluate the integral by first converting into spherical coordinates: a-y (a2-y2 a--y a2-x2-y2 (x...

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Q: Prove that the difference between the square of any odd integer and the integer itself is always an ...

A: We have to prove that the difference between the square of any odd integer and the integer itself is...

Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1, −2),...

A: Below are graph and input view.

Q: Example 2.13: An anmuity-immediate consists of a first payment of $100, with subsequent payments inc...

A: Given: The first payment is $100 Increase in subsequent payment=10% The effective rate of interest =...

Q: ax -bx -cos mxdx, a>0, b>0

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost ot...

Q: 21. z? + (3 – 2i)z+ (2 + i) = 0

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