1. Find the general solution of ' [1 0 0 00] 3 1 X. 1 -1 -1

Q: Select the option that gives the vector product of i+k and i + j Select one: 01 Oi+j-k Oi-j-k…

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Q: Use the definition of the Laplace Transform and the properties of the Dirac Delta generalized…

A: As per guidelines ,I will give solution for first three problems only.

Q: The Gompertz differential equation v = a(In b - In V)Vt is not the only possibility for modeling…

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Q: 5. (a) Find all singular points of (x³ + x² - 5x³x² + 8x - 4)y" + (5x + 10)y' + (10x − 10)y=0 -…

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Q: cylinder so as to cut all the generators A curve is drawn on a parabolic at same angle. Find the…

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Q: A famous golfer tees off on a long, straight 450 yard par 4 and slices his drive 16° to the right of…

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Q: An open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it…

A: Given ,  Volume of box formed = 2112 in3 ,  Also length = 2× width  We need to find the dimensions…

Q: Let A = {m CZ/m = 4k+8} where k CZ, and let B = {n CZ/n=2r + 2} where r CZ. Show |A| = |B

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Q: For each of the following functions f. say what type of point a is. 2 . . f(=) = O a is a regular…

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Q: 1 If g(x) = [** sec(t³) dt, then g'(x) = x O-3x² sec(x³) – sec(x³) — sec(1) tan(1) + sec(x³) tan(x³)…

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Q: Let g(x) - S²³ = 2 sin(t)e dt. Then g'(x) equals

A: Here for given g(x) we have to find g'(x)

Q: A clothing merchant purchases a shipment of clothes for $37,000.00 with discounts of 8.00% and…

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Q: 4. Solve the following system of linear, ordinary, differential equations. dx dt dy dt = 3x - 2y =…

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Q: Solve the problem. Let f(x,y) = In (x² + y2). Which one of the following curves is a simple closed…

A: A function in two variables is given as fx, y = lnx2+y2. Our aim is to find the correct option for…

Q: Problem 10: A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b> 0…

A: Given: y't=0.01y-b, y0=500 To find: (a) y(t) (b) Draw a graph of the solution when b=40 fish/ year.…

Q: 3) Solve the following boundary-value problems. c) y"(x) + 2y(x) = 0; y(0)+y'(0) = 0; y(2) + y'(2) =…

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Q: A curve is drawn on a sphere of radius a and the principal normal at a point P makes an angle 0 with…

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Q: 999 3. Calculate (4) mod 3.

A: This simple result follows by noting that 4 is 1 mod 3. The rest of the details are given in the…

Q: Find the sum of the series: Σ n=0 - 1)"25¹–2 (2n + 1)!

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Q: The solutions of initial value problems for linear first order differential equations are defined on…

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Q: Your job is to determine whether i E M. Show your work.

A: As per the question we are given a recurring function defined as : fc(n)(z) = fc(fc(...fc(z)))  ,…

Q: A tank contains 3,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate…

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Q: Suppose that OABC is a parallelogram. Let M be the midpoint of OA and let P be the point of…

A: 1st we will draw diagram of the given situation and then find position of P using section formula…

Q: Bobby likes to hike the trails near his house. On Saturday, he spent 4 hours hiking 8 miles. On…

A: We want to find  number of hours spend by Bobby to hiking the trails on Sunday.

Q: Consider a function f with the following table of values: 3 4 5 6 1 -1 2 x 0 f(x) 4 Approximate f…

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Q: Let (t)=(-5t2+4,t³-+4,2+³) 7 Find the line (L) tangent to (t) at the point (-1,0,2) L: (x,y,₁2)= +t

A: The given problem is to find the line tangent to the given parametric curve at the given point…

Q: Does x2,y2 mean x squared and y squared？

A: The objective was to prove for all z∈ℂ, |z|=|z¯|.

Q: The function given is f(x) = x3 – x – ex – 2 between the interval [2, 3] and threshold of error is…

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Q: Question 8 If the standard matrix A of a linear transformation T: R5 → RS has a pivot in each row,…

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Q: The weights (to the nearest five pounds) of 34 randomly selected male college students are organized…

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Q: Let S be a triangular surface in R³ with vertices at (4,0,0), (0,2,0) and (0,0,8), that is equipped…

A: Flux of a vector field F across surface S  ∫∫SF.dS=∫∫DF.n dA where n is vector normal to the surface…

Q: (a) +90 n=1 1 M 3 ht|3 ne 1 " 2

A: Given series is  ∑n=1∞13nn+3n+1n2

Q: x^2y" + x (1−x)y' − xy = 0. a. Show that X0=0 is a regular singular point. b. Determine the indicial…

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Q: 5. Solve the problem Urr +Urx=0, x, y = (0, π), u(0, y) = u(π, y) = 0, u(x, 0) = sin 5x2 sin 3x,…

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Q: If w and af are the nonreal cube roots of unity and [1/(a + w)] + [1/(b + a)] + [1/(c + a)] = 2a²…

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Q: Consider using the method of Gaussian elimination to solve the following system of linear equations:…

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Q: A curve is drawn on a parabolic cylinder so as to cut all the generators at same angle. Find the…

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Q: 8. A math teacher adopts the following function to curve her students' midterm grades: f(x) = 10√x…

A: A function fx=10x is given that gives the improved grade if x is the original grade of the students.…

Q: I 9.5 f(x) 0.858375 Use three-point Midpoint difference formula to approximate f'(10). 10. 10.5. 1.…

A: Three point midpoint formula: f'(x) = (1/2h) ( f(x+h) - f(x-h) )

Q: 3. (CLO2) Do one of 3(a) and 3(b) (a) Use mathematical induction to show that 1+2+2²+ integers n.…

A: We will solve both these questions one by one .

Q: The magnetic field B due to a small current loop (which we place at the origin) is called a magnetic…

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Q: Let f(x): = [2x¹, -ㅠ < x < 0 (5sin(x), 0 ≤ x < ㅠ 음ㅠㅠ 15 - 10 83 – 10 ㅇ ㅠㅠ 25 +10 Evaluate the…

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Q: . Consider the chemical reaction KOH+yH3PO4 → zK3PO4 + wH₂O, in the unknowns x, y, z, w. The number…

A: (a) number of atoms of K in the LHS = x       number of atoms of K in the RHS = 3z…

Q: Question 6 Clearly indicate whether the statement is Always, Sometimes, or Never true. Give a brief…

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Q: f (x, y, z) = sin a cosh y on the rectangular domain D = {(x, y) such that 0≤x≤ 2π, 0 ≤ y ≤ 1} You…

A: To find critical points and classify them

Q: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no…

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Q: Parametrize this surface. Calculate the flux of the vector field F(x,y,z)=(xy,xz,zx) through the…

A: As per the question we are given the following surface : S : z = x sin(y) , 0≤x≤2 , 0≤y≤π And the…

Q: Solve the initial value problem below using the method of Laplace transforms. w" - 6w' +9w=18t+ 78,…

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Q: Sketch graphs of the following curves: (a) x² − 2x + 8y +2 = 0 2 (b) x² + 4y² − 16 = Ook

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y₁, Y2, Y3 and y4 of the…

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