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A: We will find the polar form of the given complex number.
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A: Given∫tan-1udu
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A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…
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A: Given
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A: This is a problem related to geometry. Based on the general formula and concept we will answer the…
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A: Here, given that F(x) is the power series with the radius of convergence R=12. Therefore, the…
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Q: find the volume in the first octant under the plane z=y and inside the cylinder y²=4-x.
A: Given that, the cylinder is y2=4-x and the plane is z=y. y2=4-xy=±4-x Note that, the volume is in…
Q: 9) Find csc 0 if sec 0 = 9-√5 2
A: Note: Due to guidelines I can solve the only the first question Given: 9. sec θ=52
Q: Which of the following is a graph of F = (1, 0, 0)? O
A: To find out the correct option.
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A: Follow next step
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A: The simple statement use for series..
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A: Given problem :-
Q: B: Solve the following differential equation by Laplace: +24+ 5y = e-t sint .y(0) = 0, (0) = 1
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Q: the root for the following equation ex - 3x, [1.5, 1.6] then f(c4)= 1.50625. O True O False
A: We have to check the root of the equation ex-3x, 1.5, 1.6 in the 4th iteration is 1.50625 or not.
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A: Just use the initial conditions into given solution and solved for c1 ,c2 , then using it gives the…
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Q: Which of the following series is converges or diverges. If the series converges, find its sum? 2+2
A: Since you have posted multiple questions i can do first question as per our company guidelines…
Q: У S 1 X
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A: To evaluate the given integral by using integration by parts.∫0π2 x2 cos x dx
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A: Solution
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A: Let's solve given diffrential equation.
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A: We need to complete the given fill in the blanks.
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A: Given: Graph of the above is,
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A: We can solve this as follows:
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A: Given Slope of the curve dydx=3x2yand curve passes through the point (0, 2) ie. y(0)=2
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- At time t ≥ 0, the velocity of a body movingalong the horizontal s-axis is v = t2 - 4t + 3. When is the body moving forward? Backward?4. The position function of a particle is given by s = t3-10.5t2-2t, t (greater than or equal to) 0. When does the particle reach a velocity of 22 m/s?find the value of c given the first order equation x=2 and y=1
- 4y"-y=e^x/2+6 consider the following DE to be solved by variation of parametersFor x and y in meters, the motion of a particle is given by x=t^3−3t, y=t^2−2t i don't really understand if the particle is going straight up or if it is ever stopped6x + 7y = 1 Differentiate this equation with respect to x. y' =
- A particle is moving with the given data a(t)= 3e^2t -2 cost, s(0)=0 and v(0)=0, find the position of the particle.Given 6xy= 2 + y³ , a) Find the coordinates of a point on the curve at which the line tangent to the curve is vertical, or explain why no such point exists. b) Determine d²y/dx². Do not simplify the answer after substituting.The position of an airborne object at any time t is given by h(t) =-9.8t²+25t+10 Show your step by step solution clearly. 2. At which values of t is the object moving downward?
- The velocity of a skydiver 1in m>s2 t seconds after jumping from a plane is v1t2 = 60011 - e-kt>60 2>k, where k 7 0 is a constant. The terminal velocity of the skydiver is the value that v1t2 approaches as t becomes large. Graph v with k = 11 and estimate the terminal velocityThe position of the particle at time t is given by s(t) = t2 - 8t + 15. The particle is moving from left to right at t= ____________secondsThe position function of a particle is given bys = t3 -4.5t2 -7t t≥0(a) When does the particle reach a velocity of 5m/s ?(b) When is the acceleration 0? What is the significanceof this value of ?