3. Compute the area bounded by the limacon r(0) =1+2sin 0 excluding the area of the inner loop.

Q: Which of the following is the particular solution of a nonhomogeneous differential equation…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost the…

Q: In how many ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table? 24 12 20

A: We have to tell number of ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table…

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: b) sec(arcsin x2+4, 以a sin g 孙 OPP Los : als hyp a-t6-cと とい ))Not how sec = x-Vxty %3D exponent…

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Q: * ifr = 8 sece then the cartesian equation is

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Q: Linear Programming, Transportation and Assignment Problems A. Linear Programming For items 1-4.…

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Q: Solve this equation: sin 2x = V3 for 0sx< 2T There are four solutions. You must give your answers in…

A:

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)*dx xp. 2. S cos 3x dx

A: LetI=∫cosx+sinx2dxI=∫cosx+2sinxcosx+sin2xdxApply the Sum RuleI=∫cosxdx+∫…

Q: Express the limit as a definite integral on the given interval. -Дх, [1,4] (x;)2 + 9 lim i = 1 dx

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Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

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Q: In the following exercises, find each indefinite integral by using appropriate substitutions. dx 8.…

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Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at a = 2 and roots of multiplicity 1…

A: Root of multiplicity is defined as the number of times each roots appears.

Q: ANOTHER A baseball team plays in a stadium that holds 52,000 spectators. With ticket prices at $10,…

A:

Q: Determine s) for $) = 31 + 212 1 s'() = 41 + 3 Os') = 41 + O s'() = 41 - %3D s'(t) = t+4t %3D

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Q: Using appropriate trigonometric substitution, dx xV4 - x2 is transformed to 1 S csc 0 de cos e d0 2…

A: Topic = Integration

Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…

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Q: Using appropriate substitution, [sec (2x) – 1] tan(2x) dx is equal to

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Q: Given y, (x) = x? is solution for the differential equation x²y"-3xy' +4y= 0 Using the reduction of…

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Q: the differential equation (x+y)dy+xdx=o i separable equation C exact equation C

A: We are asked to find whether is exact or separable or  homogenous equation.

Q: €) In VEx dx d) so sce x e Serx tumx dx

A: The objective of the question is evaluate the definite and indefinite integral.

Q: Using appropriate trigonometric substitution, dx J xV1 - xV1 – x2 | is transformed to

A: Topic = Integration

Q: Mathematics

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Q: Find the area under the given function using integration

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Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: Use Newton's method to approximate a root of the equation 5x' + 6x* + 2 = 0 as follows. Let æ1 = 2…

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Q: Find the Jacobian of the transformation. x = 6u/v,    y = 7v/w,    z = 4w/u ∂(x, y, z) ∂(u, v, w) =

A: To find the Jacobian ∂x, y, z∂u, v, w of the following transformation.x=6uv, y=7vw, z=4wu

Q: 2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is…

A: We have to find the velocity and acceleration.

Q: S0, f(t) = le-kt, 0 <t < 5 5 < t. %3D A) Use the definition to find F(s) = L{f(t)}, where k is a…

A: use the laplace transform formula then easily solve integration

Q: 2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cross Product…

A: Please follow the explanation in the next step.

Q: For the differential equation (x -4)y" + (x- 2)y'+ 2y 0, the singular points are: O None of them x-3…

A:

Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x2 + 2) is equal to In/x (x² + 2)| + C…

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Q: The solution y, of the homogeneous differential equation y() +36y" = 0 is None of them c_1+c_2 x+c_3…

A: We have to find solutions

Q: If In a + In(x- 5) = In(2x), then x = Show your work on paper. Use the space below to upload a…

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Q: Some values for a relation are given in the table. Is the relation a function? Find the domain and…

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Q: 1. Use the graph of f(x) below to a Determine tht demain and ramge-ofthe fencion D Tind all x such…

A: From the given graph we have to find its required information.

Q: (b) Find the values of a andb so that the function f(x) = x2 + ax +b has a local maximum at the…

A: We have to find the value of a and b

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: Use the Comparison Test to determine whether the series converges or diverges. 4n 4n 5n3 + 5…

A: We have to find convergency

Q: Use the limit comparison test to determine whether each of the following series converges or…

A: Topic:- sequence and series

Q: 1 f(x) X - 9 Determine whether f(x) approaches ∞ or -o as x approaches 9 from the left and from the…

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Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: Find the absolute maximum and absolute minimum for the given function on the ir f(x) = x3 + 3x² – 9x…

A: Topic:- application of derivatives

Q: Using Sandwich Theorem, the sequence 2 cos? n + 1 an = 4 - diverges converges to 0 converges to 2…

A: Use range of cos x which lies in -1 and 1

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the ration…

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Q: Test the series for convergence or divergence using the Alternating Series Test. ∞ (−1)n 7n + 1   n…

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Q: For some constant a, the following improper integral | (x2 – 1)e2xdx converges to converges to e2a…

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Q: Exercise 1. Find the following limits sin 3x+ tan 2x2 2x? + x tan 2x 1) lim 2) lim 5x +x tan 2x 3)…

A: Use limit property

Q: For items 5-10. Solve inequality for y. 5. 84x+7y2 70

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