d²y dx² +6 dy dx +9y = 0

Q: Solve dy +4y=2 dx

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Q: Solve the given differential equation by separation of variables. dy = e5x + 4y dx -4e5x 5 + C X

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Q: Suppose an angle a is drawn in standard position. In each case, use the information to determine…

A: We have to find the quadrant for the angle alpha which satisfies the following conditions  a)…

Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $140,000, for…

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Q: Solvedy =dy +4y=2= dx

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Q: Given the sequence Of (n)=2+2 Of (m) = 2 + 1/ n Of(n)=n+: 1+n Of (n)=3--1/ = 21/1, 23, 2441... what…

A: Use sequence concept

Q: Given points P(2,1,3) , Q(1,2,1), R(-1,-2,-2) and S(1,-4,0). Find the shortest distance between…

A: We will use

Q: Which of the following represents a geometric sequence with a common ratio r= 5? O2, 10, 15, 75, 375…

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Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

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Q: What is the exact value of csc. 0-2 cola 3 0 24/3 03√2 3

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Q: 2.1 q h(q) 11 0.9 1.2 1.5 1.8 20 35 61 108 Estimate h' (1.5) using the table above. h' (1.5)~

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Q: 9 csc(x) dx csc (x) - cot(x) ||

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Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6 2

A: We have to find the standard equation of circle with centre at (4,-5), diameter is 6. We know that…

Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

A: If the focus and the vertex has same y-coordinate then the equation of a parabola can be given as…

Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: (6x²-y+3) dx +(3y²-x-2) dy

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Q: dz 1) Find and simplify in terms of r and using chain rule if given that z=√√4-x²-y², dr x=r cosh…

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Q: Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A: Here is the solution

Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

Q: (i) Find f(4). Select the correct choice below, and fill in the answer box if necessary. OA. f(4)=…

A: We have to find the limits.

Q: dy dx Assume x and y are functions of t. Evaluate for 3xy-3x+ 5y³ = -195, with the conditions dt dt…

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Q: Find the L and W (with W≤L) of the rectangle with perimeter that has a maximum are and then find the…

A: The length of the rectangle =L  Width of the rectangle = W  The perimeter of the rectangle = 88

Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

A: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

Q: Given the geometric sequence 13 113 15 15 3,125 625 125 96 48 24 **** what is as?

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Q: What is the measurement of the largest angle in AABC such that a = 52 cm, b = 46 cm, and c = 31 cm?…

A: The largest angel is the angel opposite to the largest side of triangle.

Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

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Q: Let (an) and (bn) be convergent sequences such that lim an = L₁ and lim b,= L₂. Prove, using 71-00…

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A: The region is bounded by the curves,        x=y2+4y, x=0

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: y = (11x² + 5)³

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Q: 5. The set P = {a + bi| 0 ≤a<1,0 ≤ b ≤ 1} is graphically represented by A B i X C 1 x 1 x D i

A: Since you've asked multiple question, we will solve the first question for you. If you want answer…

Q: 3- If √secx + 5cosx find y

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Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 1}. D Then the double integral…

A: We have to find D.

Q: Suppose that f(x, y) = x +y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. D Then the double…

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Q: Use the graph above to determine the following: a. lim f(x) = x-1- b. lim f(x) = x→1+ C. lim f(x) =…

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Q: (3x²y + 2xy + y³) dx + (x² + y²)dy = 0

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Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: rate of profit in thousands of dollars after t years,P'(t)=10t+10t2+2t+213

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

A: Concept: The general solution of the matrix is given by x(t)=c1x1(t)+c2x2(t) Wherex1 and x2 are two…

Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: 5) Find all values of x for which Σ=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: EVALUATE: IF A = 3i-j-2K FIND: | (A+B) × (A-B)| | (A x B) | & B = 2i + 3; +!

A: We can solve as follows

Q: The strength of a beam is proportional to the width and the square of the depth. A beam is cut from…

A: Given ,the strength of a beam is proportional to width and square of depth

Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: The 2000 census in a particular area gives us an age distribution that is approximately given (in…

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Q: . foci: (±4,0) major axis of length: 1

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Q: 1.- 2. Zeros are 2 and - 3 X -2 -1 3. y 10 5 2 0 1 A. f(x) = x² + 1 B. f(x) = x²+2x-3 C. f(x) = 2x²…

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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