A. (2x +x+3 dx

Q: Use Green's Theorem to evaluate the integral (3x² – y)dx + 3xdy where C is the circle a? + y? = 1…

A: As we know from the Green's theorem; ∫CMdx+Ndy=∫∫D∂N∂x-∂M∂ydA   Given; I=∫C3x2-ydx+3xdy So, M=3x2-y…

Q: Integrate on of these partial fractions. (choose any)

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Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Determine the area between the functions on the interval [-2, 0]. y = x^2 + 2 and y = 3x + 6 24.67…

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Q: dy 1. Find for the following: dr :b. y sin y = ry

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Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: eorem to evaluate the integral. Assume that the curve Cis oriented coun dy, where Cis the triangle…

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Q: What is the difference between a function and a parametric curve? Make sure to justify your answer.…

A: This is a problem related to function and parametric equation for the same. Based on the general…

Q: 4. The volume V of a sphere is directly proportional to the cube of the radius. With k as the…

A: Option D is correct

Q: H.W: Which of the sequences {a,„} converge and which diverge: 7 1. a, = 2+ (0.1)" 2. а, n

A: A sequence <an> is converges if limn→∞ an is finite and exists.

Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever…

A: Solution:

Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: lim f(x) and lim f(x) both --3+ r-3-

A: We have to consider the given statement is true or false according to the given information

Q: 16. r=8sin ㅇ

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Q: H.W: vectors u =-2i + 4 j – v5k and v = 2i – 4 j + /5k , find: 1. the vector proj,u 2. the scalar…

A: Given  u=-2i+4j-5k & v=2i-4j+5k

Q: АВ C D E F This is a graph of f'(x), the derivative of f(x)

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Q: Verify the formula F.n dS div FdV in the Divergence Theorem by evaluating the surface integral and…

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Q: The Maclaurin series expansion for the function f(x)=(1+x)² is Σ(-3)"x" Σ(-1)"x" This option…

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Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

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Q: x + 21 x + 1] 4 2. Find x and B, if B is symmetric. %3D

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

Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

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Q: In the integration What is the value of u? xV1-4in?x a. u= 4ln² x In x b. u = 2 c. u = In x? d. u =…

A: The integration of the integral is  1/[x sqrt(1-4ln2x) ].

Q: 1 Estimate the area under the graph of f(z) : = over the interval [2, 5] using ten approximating x²…

A: The given function fx=1x2+1 over the interval 2,5

Q: Approximate the net signed area under the curve y = x 2 − 2x − 2 on the interval [1, 5] using 4…

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Q: 15. Indefinite Integrals (Part 1) -/3 -2 a) + cscxcot x dx b) cosx--sinxr+4csc², sin x+4csc² x dx 3…

A: Solution is done in step 2

Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: Let F(x, y) = (e+ 4y)i+ 9xj. Evaluate the integral / F dr, where C'is the boundary of the region R…

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Q: A person æ inches tall has a pulse rate approximately given by the function y = 590x-1/2 The…

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Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: y? = x and y2 = 2 – x %3D

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Q: Confirm that the force field F(c, y) = 2xy³i + 3x?y?j is conservative in some open connected region…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y =…

A: Given; y=4-12x, y=0, x=1, x=2 From the given curves the bounded region is as shown below.   Now…

Q: Use the One-to-One Property to solve the equation for x. 5x+1=25 x = 5 x = 1 x = 2 x = 4 x=3

A: given that  5x+1=25 Or 5x+1=52  On comparing  X+1=2  So x=1

Q: Find the surface area of the region that comes from rotating the given curve about the x-axis: T X =…

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Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? Integration of…

A: Given ∫x dx9+x2

Q: 10. Given the supply and demand functions: P = 10+2Q, P = 30 – Q Which of these statements are…

A: Here the given demand function is             P = 30 — Q Supply function is             P = 10 + Q…

Q: Find f+ g, f- g, fg, and fig and their domains. F(x) = V15 - 2, g(x) = Vx+1 Find (F+ g)(x). Find the…

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Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯²(xi+ yj), and C : r(t) = e' sin ti+ e cos…

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Q: Use local linear approximation to estimate (31.62)4.

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Q: Use Stokes' Theorem to evaluate F. dr. z = 4 – 22 – y? F(x, y, z) = 2zi + 10xj+ 3yk where C is the…

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Q: Determine the integral of sec^4 (x) tan^2 (x) dx * O 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan^3 (x)…

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Q: Q11. Which one of these expressions in words does not equal 1? A. The natural log, In of the natural…

A: To find the Expression in words does not equal to 1

Q: 4. A graph of a function y = f(t) is shown below. Use this graph to answer the following questions…

A: We will use If f(x) is a function. Then roots of f'(x) is called critical points and if f'(a)=0.…

Q: 1. √x √1 + x² dx X

A: Solution:

Q: 9. Sketch the region enclosed by the curves: y = x²-1, y = 3-x². Then set up, but do not evaluate,…

A: Area bounded by the curves :    If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: リ= 3x3-x2+6

A: Given query is to find the equation of the tangent.

Q: Determine whether the vector field F(x, y, z) = x'5 i + y'5 j + z!5 k is free of sources and sinks.…

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Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: What is the summation from n = 1 to infinity, of  (3^(n+1)) / 5^n + 1 ?

A: Given that,       ∑n=1∞3n+15n+1

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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