dy dx + x : y2 = (Bernoulli's equation)

Q: Find the solution of the given DE. 3. dv dt +2v=32; v(0)=0.

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Q: Find the solution of the given DE. 7. +q=4 cos 2r; q(0)=1. dt

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Q: x-1, if x ≤-2 f(x)=2x-1, if -2 4

A: Use bigger dots for equality

Q: An electrical circuit switches instantaneously from a 39 volt battery to a 77 volt battery 9 seconds…

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Q: 7. dg+q=4 cos 2r; q(0)=1. dt

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Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -3n-m is Cmn = e

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Q: Fond Particular Solution of the Lifferential equation 13 Y = 6 (²53x - 8 1 Y"+ 4y¹ + Yo 85in3x y (0]…

A: We have to find the particular solution of the differential equation y'' + 4y' + 13y = 6 cos3x - 8…

Q: Let a = (1, 0, 5) and b = (2, 3, −1). Find a vector that has length |2a − b| and a direction…

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Q: giờ giả-50 x²-3x+2

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Q: Find the nature and values of the roots using the quadratic formula: 6x² 13x - 5 = 0

A: The given equation is; 6x2-13x-5=0

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does…

A: As per our guidelines we are suppose to solve only three sub-parts of a question. Kindly re-post the…

Q: Find (gof)(-2) if f(x)+x^2+3 ; g(x) 2x-5

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Q: A -3 (в -2 2 3 The non-zero value of n for which the differential equation become exact differential…

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Q: Question 12 Find the derivative of the function. (A) 15s¹4+70sº +30s¹ B 15s14-70s +30s¹ E 158¹4-70s…

A: Topic- Derivative of a function We are given, H(s)=(s10+6)(s5-7)and we know thatddssn=nsn-1

Q: Calculate y" and y". 8ex X y(x) = y" (x) = y"" (x) = [

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Q: 2. Word Problem a. A ball is thrown downward with an initial velocity of -20 feet per second from an…

A: The position of a ball is found by equation of motion   S=So+ut+1/2(gt^2)

Q: Graph the curve. 4e cos(t), y 4e'sin(t), 0 stsn

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Q: Find ||7e – 4f||, assuming that e and f are unit vectors such that ||e + f|| = √√. (Give an exact…

A: We have given that....... e=1, f=1 Since,           e+f=32 ,  we have                32= (e+f).(e+f)…

Q: For the function f(x, y) = √25 – x² - y², find the equation of the - level curve associated with the…

A: Given function:- fx,y=25-x2-y2

Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

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Q: [² Find X dx. Hint: Choose a to be the geometric mean of xi-1 and x; (that is, x = Value of integral…

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Q: A Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What…

A: Let's find multiplication of factors of given differential equation.

Q: e. lim n→∞ n k=1 4k ( n² - ) ) = n

A: Given : limn→∞∑k=1n4kn2−8n

Q: Find the decomposition a = a + a₁ with respect to b if a = (3,4,2), b = (3, 4, 6). ab = (a||x, a|ly,…

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Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine…

A: Given that the graph of a derivative f' is shown to the right.

Q: Using x = tand Show that coś²o do S GEHT dbx = {cos

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Q: Calculate the cross product assuming u xw = (8,6, -2) (Use symbolic notation or fractions where…

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Q: Find all values of x, 0 < x < 2π, for which the graph of f has a horizontal tangent (= all points at…

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Q: Find the limit as →∞ and →∞. Use this information, together with intercepts, to give a rough of the…

A: The given equation is y=x3(x+2)2(x-1) We have to find the x-intercept and y-intercept

Q: Consider a function z = F(u(s, t), v(s, t)) where F, u, and v are differentiable and u(12, 8) = -12,…

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, 32, and y3 of the…

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Q: 4. Use two different methods to solve the following problems. (If it's possible) a. fx(x² + 1)² dx…

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Q: 7. Approximate (3.04)3³ using a linear approximation.

A: approximate (3.04)3 using linear approximation

Q: QUESTION 8 fxe de Evaluate O e¹(x+1)+C O e' (1-x)+C O e¹(x-1) + C O e¹(x+1)+C

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Q: Given that log, (y) = -0.49, log, (z) = loga VE 3419 - 16.03, and log, (t) = -14.41, find the…

A: Given query is to find the value of logarithmic expression.

Q: Find the solution of the given DE. 2. y' + 2xy = 2x³ ;y(0) = 1

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Q: (a) Evaluate (5) ex 1+e2x dx

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Q: 3. Consider the function: f(x)=√16- x² + 2 a) Sketch the graph. and Using geometric formulas…

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Q: 23. 3y(x² − 1) dx + (x³ + 8y − 3x) dy = 0; when x = 0, y = 1. ANS. xy(x² − 3) = 4(1 — y²).

A: Given differntial eqution, 3yx2-1dx+x3+8y-3xdy=0                      ...(1)

Q: by n equal width the width of each subinterval Ax in terms of the number of subintervals n. Ax=…

A: a. interval [ 0 , 2 ] number of interval = n

Q: Find the indefinite integral. (Use C for the constant of integration.) [ sin³ sin³ 30 √ cos 30 de

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Q: #4 #5 3 L (5+ JO (5+3 cos x) dx 3 [x²² O x² ex dx

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Q: 11) If f is a continuous function such that f(2)= 6, which of the following must be true? f(x)-f(2)_…

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Q: Find the area of the shaded region. 249 09 HAH प्द A B 32 3 128 3 64 3 32 6 8 10 y=√√2x y=x-4 X

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Q: Your salami manufacturing plant can order up to 1,000 pounds of pork and 2,400 pounds of beef per…

A: Concept: 1 pound of pork and 3 pounds of beef for each salami can order up to 1000 pounds…

Q: 5. How many 50 lb. bags of 'Applaud' perennial ryegrass are needed to overseed a soccer complex that…

A: Pure Live Seed (PLS) indicates live seed. It is the percentage of seeds having the potential to…

Q: Given f(x) = a) f'(x) b) f'(1) = [ = 2x² tan x sec x > answer the following:

A: The function is given by fx = 2x2tanxsecx To evaluate: The expression of f'x and the value of f'1

Q: Calculate the first, second, and third derivatives of 11 41 + x (Use symbolic notation and fractions…

A: To calcylate the first, second, and third derivatives of yx=1141+x

Q: 1. Center at (-3, 9), a vertex at (-6, 9), and conjugate axis of length 8.

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: x³-1 lim x+1√√x-1

A: The limit is given by limx→1x3-1x-1 To evaluate: The value of the limit using table.