Solve for GS/PS for the following differential equations. Write neatly and legibly and upload your handwritten solutions to Google Classroom. (te-4x¹)dt +8txdx = 0

Q: ſº 5u³ – 3u³ – 9du

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Q: find the area.  x^2=8y and x=y+1

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Q: Find a solution of x dx = y²-y that passes through the indicated points. (a) (0, 1) y = (b) (0, 0) y…

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Q: Q4: A conical tank with Diameter of (2 m) from the top and (5 m) height. At the bottom of the tank…

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 9 27…

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Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

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Q: Find the value(s) of k that makes the given function continuous. 4x 5 if x < k f(x) = { = x++1 ifk…

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Q: Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = To calculate (AB)', first…

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Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

A: To evaluate the value of given double integration.

Q: Gym A Gym B Total Monthly Cost vs. Number of Visits C Number of Visits Total Monthly Cost 10 55 70-…

A: Linear cost

Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: - Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 7y - y³ = dx 7x +…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: S 2 2 (2+ tan²o) nec²o do It tane a) In ( 1 + tan 6) + 2 auctan 2 tane - 1 b) b ( 1- tan 6) + 1/3/5…

A: To integrate the given integral.

Q: السؤال الثالث Question Three * Q3. For the motion vector r(t) = et cost i + et sint j , find: (i) N…

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Q: 7) Find the area of the region enclosed by the cardioid r² = 4 cos 20.

A: To find the area of the region enclosed by the cardioid r2=4 cos 2θ.

Q: dx (x²+1)(x²-4)² dx (x²+4x+4) (x²-4) dx x(x+1)(x²+5x+6) S S S

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Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 7√x + 6x³ that passes…

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Q: [ (cosx+2sinx) COSX dx

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Q: Use the graph below to answer the question below: 5 4 y = f(x) 1 2 Find lim f(z). Be sure to read…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Consider the function f(x)=2sin(x)+(√3/2) x^2 This function has two inflection numbers A<B in…

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Q: Q1. Calculate the area of the region lies inside the diagram (r= 4 cos 20) and outside the circle (r…

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Q: Given a function, Based on the function, F(s) = 3s-6 s² +8s+7 a) Determine f(t). b) Based on…

A: Given a function, Fs=3s-6s2+8s+7Based on the function, a To determine ft.b Based on solution ft…

Q: 41 - S™ SX SX² *S* x² cos cyldy d z d x

A: Let's evaluate given triple integral.

Q: Directions: Determine whether rational equation, rational inequa solutions in your activity noteboo…

A: As per the company guidelines We can first three parts   only. Please understand. Kindly repost the…

Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √1-x² dy = 0, y(0) = . √3 2…

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Q: 7. Given: (2x f(x) = (4x² if x > 11 if x ≤ 1 What could be the possible value of 1₂ f(x) dx |? a. 5…

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Q: 1) a car is slowing down at the rate 0.8 ft /sec², How the will the can move before it stops if its…

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Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

Q: 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ − 2x² + 4)

A: In this question, we want to differentiate the given function f(x).

Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

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Q: Find the volume of the solid generated by rotating the region enclosed by y = x + 3, y = 0, x = 1,…

A: Topic = Volume

Q: ل 2 ل وه هه ** ** " سم Z || . 1

A: Given problem:-

Q: or what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable.…

A: For horizontal tangent slope y' = 0

Q: Q6) Test the convergence of the following 3) Σ=1 (n!)" (nn)²

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We can solve the differential equation.

Q: Question 2: Let E be the solid inside the surface x² + y² + z² = 10% and above the plane z = 5. (a)…

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Q: Consider the level surface defined by the equation x² + 2y²-3z² - xyz = 8, find the following: a)…

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Q: Solve the given differential equation by separation of variables. ds ks dr S=

A: Let us solve the differential equation. So,               dSdr=kS⇒dSS=kdrIntegrating both sides we…

Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: On solving this we will get

Q: 1. S x4+a4 dx x3 2. Jydy √a2-y2 3. I cos2tdt (1+sin2t)4 4. I tanßsec2ßdß 5. [(tan) – 1)2d0

A: We have to find  the value of given intregation.

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: d.w. Find the lengths for the - r = 1 + cosa

A: Given: r=1+cosθ

Q: Evaluate the limit: Lim X--3 (2-√x² +100 x + 3

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Q: Q1/ im-1 2ܨ (s+1)(s-1)2

A: This question is based on inverse Laplace transform.