5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the magnitudes are 5 and 10. Determine the area of the parallelogram!

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A: Let's find power series expansion.

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A: We will solve the problem.

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A: Here we to integrate the given integral

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A: To explain with the examples with the algebraic vector properties given.

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A:

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A: Let's solve given integral.

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A: Given problem:-

Q: Integral Calculus

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A: Given problem:- For the following composite function, find an inner function u = g(x) and an outer…

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A: The integral using substitution is answered below:

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A: Here, the given function is: f(x)=53x So, note that ddx(ax)=axln(a) where a is a constant.

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A: Given: I=∫012xx2+1dx   ...1

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A: Given,  r→(t)=-4t4-3,-4e3t,-2sin(-t) ∫r→(t) dt =∫-4t4-3dt,∫-4e3tdt,∫-2 sin-tdt

Q: Q3) Determine the maximum point of the function f(x) = x(5-x) with Fibonacci search method, if the…

A: Here, we have fx=x5π-x. The number of experiments to be performed are n=4 and the first uncertainty…

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A:

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A: Given, ∫125+x2dx

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A: We will solve the problem.

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A:

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A: To approximate the given integral using the following rules.

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A: To find  the cartesian form of the given polar equation.

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A:

Q: Q4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

A:

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A:

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² =…

A: Let's find surface area rotated about x=0.

Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: 3. Find the volume of the solid that lies under the paraboloid 5z = x² + y², above the xy-plane, and…

A: To find the volume of the solid that is bounded by given curves.

Q: Consider the region bounded by y = ex+1, y = 1, and y-axis. 1.5 0.5 -1.5 -0.5 0 Which of the…

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Q: Evaluate: lim-10 2x²+x 0 % O None of the choices 02 00 01

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Q: Calculate Differentiate. 1 = 2 z² + 1 f(z)

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Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

A: Area of a parallelogram when two sides of the parallelogram are given by the vector a→ and b→ is…

Q: dx √1 + 4x²

A: Let's evaluate given integral by using trigonometric substitution.

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: 9. A bacterial culture starts with 4000 bacteria. After 12 hours the estimated count is 36000 a)…

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Q: (a) Find where x² + 3xy + y² = 3 at (√3,0). da

A: topic- implicit differentiation

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A: Given

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A: Given :L=0.1 HR=70  ohmE=30 volti(0)=0

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A: