Evaluate y = arcsin. 품

Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

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A: To find distance.

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Q: TOPIC: Applications of Integration Plane Area Area between curves Volumes of Solids of…

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Q: de

A: The given indefinite integral is: I=∫16θ2-9θ4dθ Taking θ2 as a common in the numerator,…

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A: To evaluate the given integral.

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A: Given problem:- x3 -3x2 +2=0  And x=1+√3 is one root then using synthetic division factor given…

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Q: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: Determine whether the integral is convergent or divergent. 22 Ap 4y – 1 convergent divergent If it…

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Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) =

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Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: For what value(s) of z on [0, 7] is the value of f(z) = sin z +1a maximum?

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Q: Consider the following. u = 5i - j - k, v = -i + 5j + 2k (a) Find the projection of u onto v. (b)…

A: The expression for the vector projection of u onto v is: projvu=u·vv2v And The expression for the…

Q: x = In(1– y²) 0<y <½ for Determine the arc length of the curve

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Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: (b) dx (1+ x²)² 0,

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Q: 2. y = loga(x³ + 2x – 2)

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate the integral below by interpreting y=(x) it in terms of areas in the figure, A1 A3 The…

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Q: Direction: Solve the following equations using separation of variables. 1. y' =- y(1) = 1

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Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: S (In x)?dx

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Q: The graph shown below is f(x) = 2x 2 - 1. If g(x) = Sốf(t)dt , find g '(3). %3D 4 2 X 54 3 -2 - V1 2…

A: g(x)=∫0xf(t)dtThenBy fundamental theorem of integral calculusg'(x)=ddx∫0xf(t)dt=f(x)g'(x)=2x2-1

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Plane in 3D: The equation of a plane in 3D is ax+by+cz=d If by is removed, the graph of the…

Q: 2-use Cramer's rule to solve the system 3tan²x+y=3 2 tan’x -3y=13 X.

A: Given equations, 3tan2x+y=32tan2x-3y=13we know thatfor system  of…

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A: To determine whether the given function is homogeneous or not.

Q: (x² + y) dx – xydy = 0 O 2y = x In cx2 O y? = x? In cx? O O

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Q: If possible, give an example of 2 convergent sequences an and bn such that E(an + bn) diverges.

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 2. у — С1 3D С2е -4х 2. у —…

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Q: Solve the elementary applications of Differential equation: 1. The population of a certain country…

A: Given problem:- The population of a certain country is known to increase at a rate proportional to…

Q: standard

A: As per the guidelines we can solve 3 parts only. Please repost the same for more answers.

Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: First simplify the integrand then integrate and simplify.

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Q: Q3.3

A: We have to find the value of the given definite integral according to the given information

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Q: Which of the following limits is equal to x* dx? (A) lim k 1 3+ n00 k=1 n k* 2 (B) lim E 3+ n n n00…

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Q: 3 ex dx,n = 10 х, п 1

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Q: 1. Evaluate the indefinite integrals: – 2x - | а. 3x*

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