differential equation is given as

Q: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth sphe...

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Q: Directions: Find the derivatives of each of the following. 1. y = sin-'(4x²) 2. h'(x)if h(x) = e*sin...

A: We have to find the derivatives of the given real-valued functions y and hx with respect to the vari...

Q: If it is known that |A = 5, then the cardinality |P(A) × P(A)| is %3D Select one: 1024 None of them ...

A: The cardinality of a set is the number of element in that set. If the cardinality of a set is n, the...

Q: Show that -p → (q →r) and q → (p V r) are logically equivalent. Show your work and justify each one ...

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Q: Find two roots for the following equation using Newton-Raphson method: tan x +x-1=0

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is def...

Q: The graph of the equation 2x2 - 5y?+12x+ 20y+F=0 is either a hyperbola, a point or two intersecting ...

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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: (2y + 3)dy 11. S- 9y +2y +8

A: As per our company guidelines we are supposed to answer only the first question. Kindly re Post the ...

Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 00 4 (x) k! ...

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Q: Forming triangles from 6 distinct points in which no 3 points are collinear. O Combination Permutati...

A: forming triangle from 6 points in which no 3 points are collinear. i) combination ii) permutation

Q: 10: Consider the following function. f(x) = e8 2x (note that 2r is under the square root in the deno...

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If the inpu...

Q: Determine whether the line integral of each vector field (in blue) along the semicircular, oriented ...

A: Determine whether the line integral of each vector field along the semicircular or oriented path is ...

Q: 1. S x+cos 2x dx x2+sin 2x 2. Sxe**(ex² + 1)'dx

A: According to the definition of definite integrals, if dFdx=f(x), then ∫f(x)dx=F(x). In this problem,...

Q: Use induction to prove Vn > 1: 3| (n³ + 2n).

A: Proof :-

Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = -4 3x + y - 4z = -6 2x + 3y -...

A: a Given system of linear equation is x−y+2z=−43x+y−4z=−62x+3y−4z=4 Here, A|b=1−12−431−4−623−44 Here,...

Q: Suppose V is finite-dimensional and dim V > 1. Prove that the set of noninvertible operators on V is...

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Q: 2. What is the maximum length of the repeating section in the decimal representation of 683/1493? Wh...

A: Solution :-

Q: Evaluate |A|, where A is the 76 × 76 matrix: 1 2 3 4 76 ... 2 3 4 76 ... 0 3 4 76 ... A = 0 0 4 76 ....

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Q: (Steepest descent and CG) Consider the following linear system, (6 )()-0 1 0 2 x2 ke the initial gue...

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Q: To help pay for culinary school, Rafael borrowed money from an online lending company. He took out a...

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Q: QI) Evaluate the following integral: y = tanx dx

A: Given  To evaluate ∫tan3x dx

Q: 1. Find basis of Span

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Q: The number of different arrangement that can be made using all letters in CALGARY if the first must ...

A: We have to find the number of different arrangement that can be made using all the letters in CALGAR...

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: 2 tan 4x dx The is equal to 1- tan 24x A. In(sec 8x) + C B. In(sec 8x)8 + C 1 C. In(sec 8x) + C D. I...

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

Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =...

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: c) For a set X = {1,2,3, 4, 5}, let P be the partition {{1,3, 4}, {2}, {5}}. In the equivalence rela...

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Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies the following conditions: y(0) ...

A: The constants C1, C2 can be calculated using the initial conditions. It is known that ddxsin x=cos x...

Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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Q: Your friend, Lajos, wanted you to settle his hunch that the daily average of the number of customers...

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Q: 1. ( Prove that for any x, y E R, we have || - |y|| 1, then X¢ PQ, 5. where PQ is the line segment ...

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Q: d. Consider the following convex optimization problem min fo(x) s.t. x EN where O C R" is a convex s...

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Q: • Put each equation in standard form and find the hyperbola's asymptotes. Then sketch the hyperbola....

A: 1. Write the equation in the standard form as x2a2-y2b2=1. x212-y212=1

Q: Q5) Evaluate the following integral by using Partial fractions Method: x- x = t + 1). (x – 1)² dx (x...

A: Given the integral is y=∫x3-xx2+1x-12dx

Q: The flow system shown in the figure is activated at time t== 0. Let Q.(t) denote the amount of solut...

A: As this problem is related to differential equation, hope you know how to find inverse of a matrix, ...

Q: ısform of cos( @E transform of e

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Q: d) Let X = {1,2,3, 4}. Define a binary relation R on subsets of X by ARB if and only if A and B have...

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Q: maximum

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Q: State whether the following are true or false. If it is true then you must prove the result. If it i...

A: Note: according to our guidelines we can answer only first question  

Q: O Find Fourier Cosine transform of: CoS X oa

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Q: x) - 0.5 cos(x)) on the

A: Given as, f(x)=e-x3.2sinx-0.5cosx in the interval [3, 4].

Q: 2 3. A rectangle has an area of A = 12x Determine the length of the rectangle. 8x – 7and a width of ...

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Q: Q3 SHORT ANSWER QUESTIONS. No justification needed. Consider the Hasse diagram of the following part...

A: On the top of your question post, you have explicitly mentioned the following: "please send handwrit...

Q: Find the derivative of the vector function below 2 r(x) = sin (secx ²)i +csc°(Vx² +1)j +8tan(x^)k

A: We have,r(x)=sin2secx2i+csc3x2+1j+8tanx2k    ..........(1)

Q: х —1 dx 2.

A: We have to evaluate the integral ∫x-1x2+xdx

Q: Which of the following is the general solution to the differential equation 2ysin(x)dy – 2xdx – x*dy...

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Q: If possible, use at least three strategies to solve each of the following problems. At least two of ...

A: Observe the number of toothpicks in each case.

Q: QI Find for dx dt dy 4e - 5x'e dx dy 3re + 5x'e" dx O 2, dy - 2e + 4xe dx dy 2xe dx dy dy 5x'er dx 6...

A: We have to compute dydx, where y=∫x6x5et2dt. Comparing the given integral with the equation y=∫HxGxF...

Q: Q3. Create the following complex variables: L1 = 5+3i, L2 = 2 -4i, Perform the following operations ...

A: Add the complex numbers 5+3i and 2-4i.

Q: Given the differential equation x*dy – tan(y) dx – xsec²ydy + 2xydx = 0 then what is 2y – sec?y 2x(x...

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