Find particular solution of the differential equation in the attached  image

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: 55.0 g +9.76 dg + 5.67 mg = ?g

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Q: Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle…

A: As per your request , (3) Given that , u→=3 , v→=5 , θ=π3 Determine u→×v→2+2u→+v→·u→=?

Q: K Graph the function. Then answer these questions. a) What are the domain and range of f? b) At what…

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Q: oblem 8. (a) [e² sin (r) (b) [ (x+3) ln (x) (c) [²* (In (2))² da dx Calculate each of the following…

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Q: Find the solution of the given DE. dT 8. +0.0697=2.07; 7(0) = -30 dt

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Q: . 3류 - 2층 : 3% +4/3) 1

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Q: In x 4. lim = 1 x2x-1 x f(x) 0.9 0.99 0.999 1.001 1.01 1.1

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find: i) fx³dx ii) f8y³ dy

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Q: 1. Basic Integration a. fx(x + 1)dx b. S √ √x+x² dx x C. √₁²|x-1|dx

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Q: 3. Inverse trigonometric outcomes For this section, recall: du I Ja du -1 = sin-¹ ()+C, /du- -tan-¹…

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Q: Evaluate f(x+5)³dx, with number of intervals n-4,

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Q: 4. Find the curvature of the given curve: 32-2²2² r(t) =

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Q: If f(x) ƒ'(x) = f'(5) = = tan x sec x 2

A: Topic- Derivative of a function  Note: As per bartleby guidelines, we are supposed to answer only…

Q: 3. Use algebra to calculate the limits in parts (a) and (b) exactly, giving your answers as exact…

A: Given :(a) limx→4x2+2b limx→-3x2-x-1211x+33(c) limh→0h+16-4hd limx→0+xx

Q: JL=28 KL=5x+6 JK=3x+6 Find KL

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Q: Find the derivative of f(x) = 6x³ - 9x + 4.

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Q: Find the solution of the given DE. dT 8. +0.0697=2.07;7(0) = -30 dt

A: Topic- Differential equation we are given, dTdt+0.069T=2.07 ,T(0)=-30We know that,linear…

Q: Given 10t² 14t 80 3 t³8t² t 10t² - 14t - 80 t³ - 8t² c) Evaluate · antidifferentiation + dt 10 t² 7…

A: To evaluate the given integral

Q: (cos x-cosy-cotx) dx-sinxsiny dy=0

A: Given :cosx cosy - cotxdx-sinx siny dy=0

Q: Determine f-¹(x). ƒ¯¹(x) = = -x² + 16x What is the domain of ƒ-¹(x)? What is the range of ƒ−¹(x)?||…

A: P

Q: f(x) = 3x² + 5√x - 10x²³²³+7³ -3 -3

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Q: Graph the functions on the interval [-7,7]. Include all asymptotes and labels on your graphs where…

A: We have to plot the graph of 1) y= sin x 2) y = cos x 3) y= tan x Under the given interval with…

Q: h(x)= (1x - 21 14 - 2x if x # 2 if x = 2

A: Given: At x=2, h(2) = 0. So, the function can be written as h(x)=|x-2|. And the function is…

Q: Find the area of the region enclosed by the curves y=x²-7 and y = 9. The area of the region enclosed…

A: This question can be solved using the concept of area between two curves.

Q: 5. The equation R(x) = -5x² + 15x + 20 models the revenue (profit-costs) of a company in hundreds of…

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Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Produce a number that is three times the original number

Q: 2. The height of a golf ball after t seconds given by s(t) = 24t - 4.9t2 meters. (a) Find the…

A: This is a problem related to derivative of the function. Please follow the procedure given below. As…

Q: A closed rectangular container with a square base is to have a volume of 1152 in³. The material for…

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

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Q: a. Use implicit differentiation to find the derivative p. Find the slope of the curve at the given…

A: Given

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: y=-x√361-x² the graph. y=-x√361-x. Find the total area of the shaded

A: Given  find intersection

Q: Graph the function  f(x)= -2x^3 + 4x^2 + 2x - 4 Please name any x-intercepts and y-intercepts in…

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Q: Use transformations of the absolute value​ function, f(x)=|x| to graph the function g(x)=−x−2+7.…

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Q: Evaluate the following limits. You must use the methods we used in class (no L'Hopital) c) lim h→0 5…

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Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 9…

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Q: ttt 1. lem f(x) = X-7-0 2. lim f(x)= x →∞ 3₁ f(8) = 4. f(-2) = 5. lem +(x)= X90+ 6. lem f(x)= 7. lim…

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Q: Find the limit of f(x) = 7 -2+- X -0. as x approaches ∞o and as x approaches - lim f(x) = 7 7-- 2 X…

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Q: Given f(x) g(x) = = tan x 1 - sec x then f'(x) = 1 g(x) - 1 -. Find g(x).

A: To find g(x)

Q: 19. |2xy cos (x²) − 2xy + 1] dx + [sin (x²) − x²] dy = 0. ANS. y[sin (x²) x²] = c - x.

A: 19. The given differential equation is 2xycosx2-2xy+1dx+sinx2-x2dy=0 We have to find the general…

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: 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: The graphs of 2 = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: 5x²-19x+3 (x-2)(x+1)

A: To resolve the given expression into partial fraction the solution is as follow

Q: Find y" by implicit differentiation. 4x³ + 3y³ Зу3 = 4

A: Quotient Rule of differentiation : ddx(uv) =v.dudx-u.dvdxv2.

Q: ON 12 1= 2 dx x³ + x 3 2) + In(x²+1) + C + In(x²+1) + C 2) In(x²+1) + C

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Q: Calculate y" and y"". y(t) = 3t 3+ 4t-5/3 (Use symbolic notation and fractions where needed.)

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Q: Problem 4. Use the Substitution Rule to calculate each of the following integrals. You should show…

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