Find the general solution of each of the following. rdp-(p+√pr)dr=0

Q: (a) Show that y = e(c₁ cos x + c₂ sin ) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine…

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Q: Q3/ Use the l'Hopital's rule to find the limits 1) lim X-0 sinx-x x3

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Q: 9 sine 2770 d²0 47⁰ [(@sos 1-1) but ] + [ ₁₂ (AP) m ² ] 7

A: Given; [M(L d(theta)/dt )2] + [Mg(L-L Cos(theta))].

Q: angle between 0∘0∘ and 360∘360∘ that is coterminal with the 1950∘1950∘ angle is what degrees.

A: Topic:- trigonometry

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Q: What is the integral of x(x + 2) dx? A. x³/3 + x² + C B. x³/3 + x²/2 C. (x+2)2/2 D. x³/3 + x²/2 + C

A: Topic = Integration Correct option = A

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Q: 7 If g(s) = 8√s +- S + 4 VS + 70, compute g'(s).

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Q: x that makes each statement true. 15. 3 - 2 -X 4 = - 9 16. y². y² =

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Q: Simplify cot(t)/csc(t)−sin(t) to a single trig function

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Q: Q3/ Use the l'Hopital's rule to find the limits x-8x² x→∞ 12x²+5x 2) lim

A: The limit is given by limx→∞x-8x212x2+5x To evaluate: The value of the limit using L'Hopital's rule.

Q: (2p+3; p1 Given: f(p) = 2 7-2p Evaluate lim f(p). p-1-

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Q: 4.3 Stretching (a) Let f(x) = r². How do the values of f(0) and 2f (0) differ? (b) Let f(x) = 1².…

A: Solution

Q: 3. Determine the domain and range of h(x) = √√4 – x

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Q: Let A = {7, 2, 6, 8, 3, 5} B = {4, 2, 8, 9} and U be the universal set of natural numbers less than…

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Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. complete solution 2. Parabolas…

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Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: 1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

A: The explanation of answer as follows

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

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Q: Help Entering Answers Find the length of the curve: where 1 < t < 4. Length = M r(t) = 9ti…

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Q: 4. y = log2 (5x³ - x² + 1)

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Q: Prove that lim x-√3 1 1 3 C For a function f(x) that is defined in an open interval about c, except…

A: Solution is here

Q: What  is the equation of the circle with center (1,-5) and radius of 7?

A: As we know that; The standard equation of the circle is: x-h2+y-k2=r2 Where the Center is at h,k and…

Q: Q3/ Use the l'Hopital's rule to find the limits 1) lim X-0 sinx-x x3

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Q: Complete the table and predict the limit, if it exists. (Round your answers to three decimal places.…

A: Let's find limit is exit or not.

Q: (a) Use the definition to find f'(x) when f(x) = 3x³. f'(x) = 6 x X

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Q: Find

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Q: An ordinary differential equation is an equation that includes Only three derivatives 0 single…

A: ordinary differential equation include ordinary differential equation (ODE) contain one variable and…

Q: 20-25 -**- Solve (px - y) (py + x) = 2

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Q: Find the area of the sector of a circle with radius 17 miles formed by a central angle of 55°: what…

A: To find the area in square miles of the sector of a circle with radius 17 miles formed by a central…

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Q: K For the given function f(x) and the given values of cand e > 0, find L= lim f(x). X-C Then…

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Q: (a) cos(0) = (b) tan(0) (C) sec (0) (d) csc (0) (e) cat (A) =

A: Topic:- trigonometry

Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: dy 2) Consider the equation 6xy+sin y = x. Use Implicit Differentiation to find dx The correct…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Express the integral in terms of the variable u, but do not evaluate it. 1 e7x-6 dx; u = 7x - 6…

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Q: Let A = {4, 3, 5, 7, 10, 6} B = {8, 3, 7, 1} and U be the universal set of natural numbers less than…

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