Evalute fi f (y³ – xy)dydx -

Q: Evaluate 2 6 (x + 2)√√/x-2dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 7. Suppose the equation əz ar is a differentiable function of r and y implicitly defined by 2³ = y²…

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Q: Find the sum of the series: n=0 2-1 (-1)"64"- n!

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Q: k Ĵ S x=0&y=0 x cos(xy) dydx =

A: Evaluating the double integral

Q: Part 2. Integration by substitution Solve the following integrals through video presentation. √x+1 x…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Find the average value of f(x) = Enter the exact answer. fave = x (6x² + 5)² over the interval [0,…

A: Avg value is given by below

Q: Verify that the function satisfies the two hypotheses of Mean Value Theorem on the given interval.…

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Q: x4 dx X³- 2x²-7X-4

A: The given integral is: I=∫x4x3-2x2-7x-4dx   As we know the common integral.…

Q: Find r'(t). r(t) = (3 cos(t), 4 sin(t)) r'(t) = (No Response) Need Help? Read It Watch It

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Q: Question Which of the following is a potential function f for F(x, y, z) = (2x cos(v2). -x²z sin(yz)…

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Q: Two particles travel along the space curves r(t) and u(t). If r(t)and u(t) intersect, will the…

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Q: A 2x-In Ixl+C B 2x4 In Ixl+C 5*²=4 dx x D HIN x² - In Ixl+C x² - 4 In 1x1+C

A: topic- indefinite integral ∫xndx=xn+1n+1+C∫1xdx=lnx+C

Q: 17. Assume that f'(x) = (x - 1)(x - 2)²(x-3)³. (a) Find the interval(s) on which is increasing. (b)…

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Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

Q: 15. Show that the equation, ³ + e* = 0 has exactly one real root.

A: we have x3+ex =0to check number of roots we can draw graph of both and check number of intersection

Q: determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

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Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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Q: E Surface integral is used to find Density Area Surface Volume

A: Surface integral is used to find

Q: im →0 In[(x + h)² + 1] + ln(x² +1) h

A: Given: limh→0lnx+h2+lnx2+1h

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

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Q: •. Sketch the graph of a continous function & f(2)=1 f'(2)=0, the point (2,1) is 1 1 1 1 2 I is…

A: We have to sketch the graph for given question.

Q: The equation of the plane that passes by P(2, 0, -1) and that is perpendicular to the line x-5 2-y Z…

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Q: Which of the following provides the curve of intersection = 14? of the surfaces z = √√√x² + y² and…

A: We have to find the curve of intersection of the surfaces  z=x2+y2  and  x2+y2+z2=14.

Q: The distance from the point K(3, -2, 0) to the xz- plane is Select one: O-2 O √13 O 0 02 None of…

A: We need to find out the distance between the given point and xz plane.

Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: Solve the equation. dx 2x1² dt **** An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: J (2) Ten thousand dollars is invested at 645 intrest Compound Continously. → when will the…

A: We can find the required time as below.

Q: Find all solutions of the equation in the interval [0, 2π]. 2cos2xcosx-2sin2xsinx = 1 Write the…

A: Here, the given equation is: 2cos(2x) cos(x)-2sin(2x) sin(x)=1⇒cos(2x) cos(x)-sin(2x)…

Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r(t) = (No Response) (b)…

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Q: Use the derivative f'(x) = x²(x - 5)(x + 5) to determine the local maxima and minima of f and the…

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Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: Solve the differential equation by variation of parameters. y" - 2y + y = et arctan(t) y(t):

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Q: find f f'' (x) = 2 + cos (x) , f (0) = 7 , f (pi/2) = 2.   f (x) =

A: I am attaching image so that you understand each and every step.

Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

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Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

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Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: Use the rules for sums of powers of integers to compute the sum. 16 Σ k k=7

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: (a)i Find a vector equation and parametric equations for the line that passes through the point A(5,…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: Calculate the following antiderivatives: (a) ∫ 8t− 6t^6 −5dt =  +C. (b) ∫ 1/u^7/4 + 3.5 sqrt u du…

A: a) Given:       ∫8t-6t6-5dt  =∫8t dt-∫6t6 dt-∫5 dt taking constant out     =8∫t dt-6∫t6dt-5∫ dt…

Q: The definite integral is equal to O 2 [²x Select one: 4 O f₁²₁x² dx + ₁ + x² dx none of the others ○…

A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

Q: Ive the given IVP using Laplace transforms. "-7x'- 8x = 0 x(0) = 1, x'(0) = -3

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Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

A: We need to evaluate: ∫x4+x3+2x2+3x-2x2-3x+2…

Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

A: We have to find the equation of plane.

Q: Use Green's Theorem to Calculate the Line Integral ſy²dx + x²dy, where c is the triangle o vertices…

A: Given that, the line integral is ∫y2dx+x2dy and the vertices of the triangle is 0,0,4,0 and 4,4. By…

Q: 6. Consider the function f(x, y) = cot ¹(1+x) — 2e¹+³y If x = s²-t² and y = 3t+tan(1-s), use the…

A: Let's evaluate given partial derivative.

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Problem 1 Find a linear differential equation with constant coefficients satisfied by e²x, e*, e³x,…

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