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Q: Which of the following is the general solution of the given differential equation: d'y dy + 2 dr d'y...

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Q: Evaluate using trigonometric substitution. (Use symbolic notation and fractions where needed. Use C ...

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Q: Suppose f (x) is continuous and differentiable function. One or more of the definite integrals given...

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Q: Let I = S, 3-rsin(30)dzdrd0. Our aim is to convert I into an equivalent %3D triple integral in Carte...

A: Let's find. 

Q: ction.

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Q: 19-x2 Let I = ,"* Sam Sa 51+x2+y2+z²dzdydx. Our aim is to write an equivalent triple integral in sph...

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Q: 1024 1. Evaluate 243 () 2. Simplify In (2) + 3 ln In (e) +3 In (1) and express your answer in the fo...

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Q: Evaluate using trigonometric substitution. (Use symbolic notation and fractions where needed. Use C ...

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Q: X y The plane-+ +-=1 meets the axis in A.B and C. b c Dritchlet's integral to find the volume of the...

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Q: fupose C is the Cunve rlt) = st, t3> fom osts2, Ond K= A Evalwate J f.7 ds using the fllouing Strp C...

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Q: Hwi2 Showthat the triangleABE iS rigkt atA .)عرحرلعر)عراو2( )دره را-Aعط

A: We use distance formula. Follow 2nd step.

Q: B. With the indicated condition, find all real values of x or angles that will satisfy the given equ...

A: Given; 2) 2cos2(theta)=-3sin(theta) 3)Tan2x-Secx=1 4)cos(2 theta)=-cos(theta)

Q: find the x-vales (if any) at which f is not continuous. Which of the discontinuities are removable. ...

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Q: 5. Let v = (2, 1, -4) and w = (3, -3, 1). Find vectors a and b such that v = a + b where a is parall...

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Q: O-1sxs1 -1sxs0

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Q: y', In(y) 1 y(e) = 1. x² In(x)

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Q: (b) Find the scalar potential of the conservative field: F = 2ry°z?i + 3x²z²y²j+ 2x?y³zk. %3D

A: Let's find. 

Q: How is the Unculetron H a Veceton field Veton fild on a closed Sm00th lniented (umve Calculated

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Q: Verify the mean value theorem on the given interval, and find all values of c in that interval that ...

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Q: Let C be a circle lying in the plane x+ z = 2 with center at (1,0, 1). Evaluate the line integr V2 d...

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Q: Solve and prove that the solution derived from Laplace Transform of Derivatives and the initial cond...

A: Let's find. 

Q: X*-y sin cx) = xー Y Sin Cx) =

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Q: 5) Identify the curve a Cartesian equation for the curve given in polar coordinates by r = 4sin 6 by...

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Q: 1. The electrical charge on a new cell phone decreases according to the function C(t)=-0.1t-0.5t +15...

A: Please refer the attached image for complete solution. THANK YOU.

Q: Which of the following is the general solution of the given differential equation: d'y d'y dx +y = (...

A: Let's find. 

Q: Find the average value of the function over the given interval. f(x) = |x| +8 on [-7, 7]

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Q: Show that the function f (x) is continuous on Sin x, r 4 -

A: You have to find the left and right hand limit for the given function.

Q: Which area in Figure 8 is equal to Suase dx? (4+x²)3/2 (b) 1- 2 u S2 cos u du sin u du (c) y (d) 1 u

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Q: A hot pie that was cooked at a constant temperature of 325° F is taken directly from an oven and pla...

A: In this question, we need to find the time required for the pie to reach 2750F.

Q: Find the derivative of y with respect to z. y=5 (2)

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Q: To produce a textbook, suppose the publisher spent $130,000 for typesetting and $6.50 per book for p...

A: topic - linear equation

Q: Let D be the solid region in the first octant of space enclosed by the paraboloids z = x2 + 4y2and z...

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the general solution. y" – y' – 2y = 4x2

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Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

Q: Test time left: 01:58:57 Verify whether u = x+y+z, w = x° + y°+ 23 – 3.xyz are functionally dependen...

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Q: 10. Find all solutions of v3 tan xcotx + V3 tan x – cot x – 1 = 0

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Q: first set se cond set third set x3 + 3x – 5 - x4 + 2x3 + 5² first divisor second divisoy third divjs...

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Q: Activity 4: Use reference angle and appropriate sign to find the exact value of each expression. Sho...

A: 1. csc 510°2. cos-225°3. sec 120°4. cos 13π35. tan-10π36. sin5π4

Q: Let R be the region shaded in the below figure. y=-x -1

A: See the diagram and limits u can compare the limits

Q: 32. 34. = 35. x-y- 36. 16x 16y- 162' 1 37. 25 38. 4x + 2y +- 4 39. z-x +y - 2x - 4y +4 (a) y-x - -1 ...

A: note: Since you have posted multiple questions we will solve the first question for you. To get the ...

Q: Given the solid region D bounded above by the sphere x +y +z = 16 and below by the plane z = 2. Our ...

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Q: Let m be a positive real number. Then the spherical coordinate equation of (x+m)2 +y2 + z? = m2 is O...

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Q: sin x (cos x+1) dx 7. S (cosx +1)2

A: Given that: ∫sinx(cosx+1)(cosx+1)2dx           NOTE: As per our answering guidelines, we can only an...

Q: NIX 2. sin? x+(1-cosx) 2 tan %3D (sin x)(1+cos x)

A: We can verify the statement as below

Q: x2 dy Find - for y = x dx -for y =x cos t?dt. sť dt. 2

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Q: du Find Ifu = cos(x +y) where a'x +b'y =c² %3D

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Q: • Solve the equation (2xy – 3x²)dx + (x² + 2y)dy = 0

A: Given that: (2xy-3x2)dx+(x2+2y)dy=0

Q: Let D be the red region in the below figure. Then ff, -3dzdxdy is negative positive O equal to zero

A: Here, the given region is D. And, the volume of the region is never negative. So, V=∫∫∫Ddz dx dy>...

Q: 10. S(2x – 3) dx e 2x2 - ебх

A: