10. Evaluate cos x sin² x dx

Q: The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: st=2sint + cos2t   ,where scm , tsect∈0,2π------------------------To find:    Basic information:…

Q: First find the equation of a plane through the point (4, 2, 1) with normal vector = 3i - 2j+ 4k.…

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Q: find the given general differential solution, using homogeneous equations with constant…

A: Given.

Q: Given a > 0, evaluate the following limit: k X lim x-0 a 1x

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Q: Question 6 (a) Use the Maclaurin series, In(1 + x) = x -+-+-=-1(-1) ¹+¹ ² 1+2 to derive the series…

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Q: Find the area bounded by y Round to four decimal places. 3 144 - 9x² X = 0, y = 0, x = 2.

A: SOLUTION-

Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: The function A(x) = 0.001x³ -0.02x² +0.12x+0.03 approximates the blood alcohol concentration in a…

A: This question can be solved using the concept of increasing and decreasing function.

Q: Q110 is the angle ABC: 1- Obtuse if and only if its complement is right 2-Obtuse if and only if its…

A: Consider an angle ABC.

Q: An object is moving with velocity (in ft/sec) v(t) = t²-2t + 3. At t = 0, the object has a position…

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Q: What is the general formula for the nth term of the sequence –4, 1, 8, 17, 28, ...?

A: To determine the general formula for the nth term of the following sequence.  –4, 1, 8, 17, 28, ...…

Q: f(-7 sinx + 3cosx)dx 4

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Q: My - Nx N If = Q, where is a function of x only, then the differential equation M + Ny = 0 has an…

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Q: The answer was correct but I don't understand, how you got the number 2 on the last line. G'(5) = 2…

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Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given.

Q: Find the flow of the vector field F(x, y, z) = zi + yj + xk through the unit sphere x² + y² + z² = 1…

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Q: 5. A function u(x, y) is defined by u2³-3xy². (a) Show that u is harmonic, i.e. it satisfies…

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Q: 2. Let f(x) = 24. Sketch the graph of f(x) on the graph below. Then use the graph to find the…

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Q: 49 - x² Evaluate the integral: dx 8x² (A) Which trig substitution is correct for this integral? x =…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

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Q: f21 csc 3xcot3xdx

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Q: Consider the triple integral JJJ (x+y+z)dV E where E is the solid enclosed by the cylinder x² + y² =…

A: Let's solve A and B part.

Q: find the solution of the differential equation     dy / dx = y / (y-x)  with y(5) = 2

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Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

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Q: 5. Consider the solid S given by the portion of the hemisphere z = √√√4-2² - y² that is inside the…

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Q: Find the Mass, Moments along x and y, Center of Mass, and Moments of Inertia of the region bounded…

A: The given region is bounded by x+y=2, x=0, y=0 as shown below: The region is given by R=x, y:…

Q: Find the area of the surface obtained by rotating the curve Y = from x = 0 to x = 1 about the…

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Q: Find a power series representation for the function. f(x) = x2 tan-1(x3) f(x) = Σ n = 0 Determine…

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Using shell method, volume is evaluated.

Q: Let F be the function below (Click on graph to enlarge) Evaluate the following expressions. Note:…

A: limx→a F(x)=L if and only if limx→a+ F(x) = L= limx→a- F(x) . A function F(x) is continuous at x=a…

Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

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Q: (-1)n+1 Given that ³²= 24 x²n. Obtain the power series representation of each of the following 9+x²…

A: Given: Now,           -39+x2' =-319+x2' =-39+x2-1' =-19+x229+x2' =-3-19+x22· 2x=6x9+x22

Q: du (A) Show that if y=csc(u), then=-csc(u) cot(u) dx dx

A: Given :y=csc(u)Proved

Q: (c) an = (-1)". 2n n!

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Q: Calculate the value of the line integral fds where f(x, y, z)=e² and C is described by X C (x, y,…

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

Q: Watch the video and then solve the problem given below. Click here to watch the video. Find a…

A: -1 as a zero of multiplicity 3, 0 as a zero of multiplicity 1 and 1 as a zero of multiplicity 1.

Q: Let x be a continuous random variable that can take any value in the interval [0,3]. Let its…

A: Solution:

Q: (b) Find the dimensions of a box with a square base with surface area 20 and the maximal volume. Use…

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Q: AY (1, 1) A X=1 y=x² с X (0,0) = 1, and the y-axis. Region A is bounded by the parabola x = y², the…

A: Note : As per our guidelines we are supposed to answer only 3  subparts if there are multiple…

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

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Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: Find the capital value of a fort at a strategic location, where the annual rent is $950,000, paid in…

A: Given, Annual rent=$950,000, interest rate=8%=0.08

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t+32) sin(t)dt

A: Using tabular method, given integration is evaluated.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: B. Solve the following integrals. 즈 2.) fevdxdy

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Q: Use the functions f(x) = x + 4 and g(x) = 2x³ to find g-¹ o f-¹

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Q: 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?(..

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Q: 1/0 1,0 -3 -6 Note: Enter 'DNE' if the limit does not exist or is not defined. I

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