The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225 O 221 O 224 О 226

Q: For item # 6, use the product rule. 6.) f (x) = (x³ – 1)(4x + 5) %3D | x+3 7.) f (x) = 5х-2

A: Here we have to differentiate the given functions.

Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: The auxiliary equation of the DE: -6 y"" -4 y" + -2 y=D0 is -6 m3-4 m2 +-2 0. Select one: O True O…

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Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: 2 3) -2

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Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

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Q: Q3) Evaluate triple integral dz dy dx.

A: A detailed solution is given below

Q: 1.) f (x) = 10x10 4.) f (x) = %3D 2.) f(x) = x² – 9 5.) f(x) = 2x² + Vx 3.) f (x) = –x5 – x-3 – - x

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Q: Sketch the region of integration and change the order of integration for the integral 9. / | (x, y)…

A: First we sketch the region of integration then change the order of integration.

Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t < 7 %3D L

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Q: Describe the largest set S on which it is correct to say that f is continuous хx* + ху — 5 а. f(х,…

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Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: 1. S(Hx@ - 2x) dx 2.s (x" - 3X?) dx 3. S( 5xV - xo t 4x - 2) dx 4. GRND 5. dx

A: Find your answer below

Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: 2. Suppose that the edge lengths r, y, and z of a closed rectangular box are changing at the…

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Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x

Q: Use the Midpoint Rule for the triple integral to estimate the value of the intergral. Divide B into…

A: Note that, 0≤x≤4, 0≤y≤8 &amp; 0≤z≤4 generate the cube. And, the mid-points of the cube are:…

Q: (x – y)dr + xdy = 0.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

A: we will use newton backward difference formula .

Q: d) (i) Use the alternating series test to show that the series converges. k+1 k +3 Σ-) k(k+1) k=1

A: To show that the given series converges using alternating test.

Q: dy Find if yJx-9 =Xyt2 %3D

A: we have to find dy/dx

Q: Q5) Find volume of body bounded by z² + y² + x² = 9.

A: Explanation of the answer is as follows

Q: A. Evaluate the limit of a function using the concept of Special Limits. 1. lim t→0 t t2-3t+5 + t2-1…

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Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0 %3D

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Q: Find the value of Oa 43 Ob.53 Oc 23 Od 13

A: Given: I=∫0∞e-3tdt   As we know that; ∫eax+bdx=1aeax+b+C

Q: 6.Find all the first partial derivatives of each function x² – y² c. f(x,y) ху с. = d. f(x,y)=e* cos…

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Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

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Q: In x²/25+ x² dx , we let x=5sine. A True

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Q: Which of the following is the Taylor series expansion of the function -x2 with center at 0. f (x)=e…

A: Given problem:-

Q: DO NOT include spaces in between characters. * Find the value of at the point (0,1) given the curve…

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Q: O Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2, y =

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Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: 1 Let f(x)= J. dt. Find the derivative f(x). -dt. t4 +5 e2x none of the choices

A: Use the concept of derivative of an antiderivative and simplify.

Q: 00 sinde 2ode Estimate the slope of the tangent line. (b) what are the.units of measure for the…

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Q: Evaluate the following integral using three different orders of integration. SSL:(x: – y') dV, where…

A: Here we have to evaluate the given integral.

Q: Q3) Evaluate triple integral y(x2 -y?)dz dx dy.

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Q: Evaluate fs 2°ds O a. 2*(sln2 - 1) (In2)2 O b. 2(słn2 - 1) (In2)2 O C. 25 - 1) In2 O d. 2° (+ 1) +1)…

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Q: Consider the region bounded by the curve v= x2 – 1 and the x - axis over the interval [0,3]. Find…

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Q: Consider the parametric curve defined by x=3+5t and y=1+31 Over which values of , does the curve has…

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Q: g"(x) sin(x- 1) x-1 -4 13 A(x) = kr -8x + 6, -1 10 x>3 8 3 -1 (E) Find all x value(s) on the open…

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Q: dy by implicit differentiation. dx Given In xy+x+y=2. Find

A: lnxy+x+y=2Differentiate w.r.t x1xyxy'+y+1+y'=0xy'xy+yxy+y'=-1y'y+1x+y'=-1

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Q1) Evaluate the following integral using Partial Fractions Method: y = : x³ +x? dx х2 +x — 2

A: Given: y=∫x3+x2x2+x-2dx   We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: ) Evaluate f'(x)dx.

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Q: Evaluate: (9 - 22) -1 x- V9- x sin A f (z) = %3D V9-2 None of the above a+V9-r sin ©f(z) = V9-7 9-…

A: We have to choose the correct option from the given options according to the given information

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1 - x dx 2. y =

A: To evaluate the given integral.

Q: 9. If f (x,y,z) = 3x²y – xyz + y²z? _Ifind each of the following: fy (x, y,z) C.

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: Given that the tetrahedron enclosed by the coordinate planes and the plane 7x+y+z=4.

Q: Question 2 Evaluate: J y* sech (e m)tanh (e ) dy A sech (y7) + C B) None © -eh*(,) + C E

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Q: Evaluate the following and post your answers in t (Activity 2.1) 1.Sdz 2. Sa dx 3. S(7y6 + 8y3 –…

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