15. A spherical fish tank with a radius of 1 ft is filled with water to a level of 6 in below the top of the tank. a) Use calculus and spherical coordinates to determine the exact volume of water in the fish tank. b) Determine the weight of the water in the tank (assume the weight density of water is constant at 62.5 lb/ft³) c) How much additional water must be added to completely fill the tank?

Q: \text { 77. } 3 x+1-\sin x=0

A: The given equation is: 3x+1-sinx=0 It can be rewritten as: 3x+1=sinx The function on the left side…

Q: Solve the following equation involving inverse trig Sin^-1 (theta)+tan^-1 (theta)=0

A:

Q: Kindly explain how you got 2r^3 sin20 dzdrd0?

A: We have to tell about step2r3 sin2θ dzdrdθ

Q: What is the real number equivalent for sin ( Cos ^ -1 ( 1/2)) ?

A:

Q: Solve for x: sin^2 x -cos^2 x+1=0

A: Solve the equation

Q: se Newton's Method to approximate 76 correct to six decimal places.

A: Given: 764 Formula used: xn+1=xn-fxnf'xn

Q: Evaluate tanh^2 (4-4i) sech (2+2i). Express your answer in rectangular form in 4 decimal places.

A:

Q: Integrate sqrt (16+x^2) from 0 to 4

A:

Q: Why is cos(sin^-1(x)) equal to sqrt(1-x^2)?

A:

Q: Graph the equation r = sin^2 (2.3u) + cos^4 (2.3u) for 0 <=u<= 10pai.

A:

Q: Use the reduction formulas to reduce sin^4 θ to only linear powers of cosine (cos(θ) = ”linear”,…

A:

Q: differentiate y = sin^3(tet^2) and simplify

A: The given function is y=sin3tet2We have to differentiate with respect to t…

Q: Solve the equation for all solutions in the interval. Write answer in radians: tan^4…

A: