5. A ferris wheel completes 2 revolutions in 60 seconds. Determine how far it has traveled in 15 seconds. The radius of the ferris wheel is 10 m.

Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

A: Hello. Since your question has multiple parts, we will solve the first integral by first method for…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: 1 Work out the area of each shaded region. b a 3 cm 9 cr 5 cm 2 cm. 8 cm

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Q: a) Use the power series for arctan z that we found in class in Section 8.6 to write down a power…

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Q: 10. a) Given the functions f(x) = x + 2 and g(x) = 3", determine an equation for (f . g)(x) and (g…

A: Solution: f(x) =x+2 g(x)=3x

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 < y< 2, y – 1 < x < 1}

A: Double integration

Q: 6. If 16 and log,(x – y) = 2, calculate the values of x and y algebraically. 1/2

A: Given,12x+y=16and log8x-y=2

Q: In how many different ways can these 10 people be arranged if two boys cannot be seated next to each…

A: Given: Total number of people = 10 Number of boys not sitting together = 2

Q: How do I solve this question?

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Q: 5. A cosine function has maximum value of 185 at x = 87T, a minimum value of -15 at x = 40 r. a)…

A: Given that,

Q: sin C 48 14 50

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: Solve the following equation 2 sin 3x + sin 2x + 1 = 0 on the interval 0 < x S 2Tt.

A: The given equation is: 2sin3x+sin2x+1=0. We have to solve this equation on the interval 0≤x≤2π.

Q: 8. Armin bought a rare Wayne Gretzky rookie card for $18 in 2020. The function f(x) = 18(9)…

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Q: Let F(x, y, z) = z tan¬1(y²)i + z³ In(x² + 9)j + zk. Find the flux of F across S, the part of the…

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Q: Is the vector field F = [yze"yz, xze#yz, xye"yz] conservative? %3D O Yes O No

A: The vector field is conservative if ∇×F→=0 therefore, find ∇×F→ ∇×F→=ijk∂∂x∂∂y∂∂zyzexyzxzexyzxyexyz

Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2…

A: Tangent line to ellipse will be perpendicular to normal's of both the surfaces.  Therefore tangent…

Q: 11.) If mVQ = (y + 7)', mQR = (x + 11)', mRS = (3y)', and mST = 65', find the values of x and y. %D…

A: Given- If mPQ⏞=y+7°, mQR⏞=x+11°, mRS⏞=3y°, mST⏞=65° To Find- The value of x and y.

Q: se the Divergence Theorem to evaluate (8x + 12y + z2) ds Is here S is the sphere x2 + y2 + z² = 1.

A: To compute the below integral using divergence theorem.

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 10 feet beneath ground…

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Q: Let C be the curve connecting (0,0,0) to (8,4,16) to (-2,4,6) to (0,0,0) | (tan() +3yz) da + – 2 )…

A: We know from Stokes theorem,  ∫CF→·dr→=∬S∇×F→·dS→..........................................(1) In…

Q: After n minutes, the temperature of a cup of coffee, in degrees Celsius, is Tn 55 + 25e0.1n e0.1n…

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Q: tan x+1 4. Consider f(x) and g(x) = sin x + cos x %3D %3D sec x a) Identify any non-permissible…

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Q: Find the first partial derivatives of the function. f(x, у) : cos(t5) dt fx(x, y) = fy(x, y) =

A: We use the leibniz derivative.