Obtain the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS. 1. y(x) = c₂e* + c₂e¯* + 4sin(x)

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

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Q: A bacteria culture starts with 600 bacteria and doubles in size every half hour. Exercise (a) How…

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Q: Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (1)(x).…

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Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A: This question can be solved using the concept of functions and its domain.

Q: 8. At CheapCo Convenience Stores, employees receive an increase in their hourly wage each year. A…

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Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.

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A: Given that fx=∫axx2dx we have to find the value of f'd, for a=6 and d=16 use the formulas:…

Q: (2cot 2x² - 2e²) dx A. 1/cot 2x³ + 2e²+ C 2

A: To find out the integration of the given function.

Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: grow art thrive, eventually reprodur the population. (+/24) 10" ³ = 1×2⁰

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Q: Find the equation of a line that passes through (-1,-3) and is perpendicular to y=-4x+2

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Q: Find

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Q: Q1.In the triangle ABC, where m4(BAC)=2,AF=12, EB=14, where E, F are points between A,B and A,C…

A: It is given that: In the triangle ABC, m∠BAC=2, AF=12, EB=14, FE¯∥CB¯ Where E, F are points between…

Q: Write the first five terms of the sequence: {√n² + n-n}_1 Determine whether the sequence converges,…

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Q: Find dy/dx fc (1) y = x³ Inx ,,2

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Q: 41. How close to -3 do we have to take x so that 1 (x + 3)4 > 10,000

A: See this solution in below.

Q: Só 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx+a=lnx+a+C

Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

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Q: Find the indicated composite function 6. f(x + 1) where f(x) = x² + 5

A: To find the f(x+a) when f(x) is given then we just replace x of f(x+a),  where a is an integer.

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

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Q: Express the function in the form fog. (Use non-identity functions for f and g.) G(x) = {f(x), g(x)}…

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Q: The functions f(x) and g(x) are graphed below. 5+ 4. } -5 -4 -3 -2 -2 -1 Determine proma -2 -3 -4…

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Q: A. Complete the table below 1. 2x Given - 3x² = 5 2. 4 – x2 = 5x 3. (2x + 5)(x-4) = 0 4. 2x(x - 1) =…

A: Let's solve.

Q: What is the simplest form of the integrating factor for the differential equation y' +…

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Q: Find the length of the curve x = 5-t, for 1 < t < 2. length = y = 3-t, z = 3t 5,

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Q: Given the integral from 0 to x of the function e-t^2dt: Find the summation form of its Maclaurin…

A: We know that: et=∑n=0∞tnn!⇒e-t2=∑n=0∞(-t2)nn!=∑n=0∞(-1)nt2nn!

Q: Use a graphing utility to graph the function and estimate the limit. Use a table to reinforce your…

A: The given limit is limx→04sinxx3

Q: 9. (a) Use a graph to find a number 8 such that 1 In(x - 1) (b) What limit does part (a) suggest is…

A: We need to use the graphing utility to find the value of 'δ', to satisfy the following condition,…

Q: fcos (x) sin(x) dx -(sin²(x)) + C (sin² (2x)) + C A. B. C. - (sin² (2x)) + C 2 D. (sin²(x)) + C 2

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Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: Which of the following differential equation is ordinary, linear, first degree, and the dependent…

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Q: Express the repeating decimal as a fraction. 0.191919... =

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Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

Q: 3. f(x,y) tanx - sec²x - cosy

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Q: Find the domain of each function. (Enter your answers in interval notation.) (a) g(t) = sin(e-t) (b)…

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Q: 1 +3 4 2 1 -1 -2 -3 1 1 V = 2 4 The graph above shows the base of an object. Compute the value of…

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Q: Compute the indicated value of the given function 1. f(x) = 3x + 5; ƒ(0), f(-1), f(2) 2. f(t) = (2t…

A: Function

Q: 1 2 -1 -2 6 V = 8 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: The Solution is given below

Q: fe* cos (2x) dx A. B. C. D. 2e* sin(x) + 2e* cos(x) + C 2 2 ex sin(x) ex cos(x) 2 2 2 ex sin(2x) ex…

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Q: Solve for the variable of the following quadratic equations. Kindly provide a COMPLETE and CLEAR…

A: We have to solve the given quadratic equations.

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: n 4 3 2 1 -1 -2 -5 15/2 Find lim π Find lim f(x): ² → ( ²7 ) + 3π/2 The graph of the function f(x) =…

A: Given, f(x) = sec(x)

Q: I'm 4-√3x + 1 2=75 2²²-7x+10

A: We can solve this as follows:

Q: What is the general solution for the following differential equation? d²y dr² dy 4+y=0 dr…

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Q: Find the simplified difference quotient for the given function    dx2 + kx + m

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Q: Find the acute angle between the lines. Round your answer to the nearest degree. 7x - y= 4, 5x + y =…

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Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: Find the solution to the given Differential Equation y dx + (2x-y) dy = 0

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