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Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0 < 0 < 2n, and 0 s p n.) (0, 2 3, 2) ...

A: Formula for the converting rectangular coordinates to spherical coordinates.

Q: A silo (base not included) is to be constructed in the form of a cylider surmounted by a hemisphere....

A: Click to see the answer

Q: Use the given graph of fover the interval (0, 7) to find the following. (a) The open intervals on wh...

A: a) The first answer is wrong. Because the graph is in (0,7).So it is increasing in (0,1)U(3,7)

Q: If x3 + y3 = 9 and dx/dt = -3, then what is dy/dt when x = 1 and y = 2?

A: Given,

Q: Can you help me step by step?

A: The function is given by

Q: show that the given function is one-to-one and find its inverse. Check your answersalgebraically and...

A: Given:

Q: Finding derivative.

A: Given,

Q: Can you help me with this problem step by step?

A: Consider the function f(t) = 12t - t3 in the interval [-3, ∞).

Q: Find the exact length of the curve. x= (y4/8)+(1/4y2), 1< y < 2

A: The given function is,

Q: Q 10. D c (careful!). ifferentiate lIn

A: The given function is,

Q: Evaluate the integral x cos(3x) dx Note: Use an upper-case "C" for the constant of integration

A: Given:

Q: A piece of wire of length 63 is cut, and the resulting tow pieces are formed to make a circle and a ...

A: The total length of the wire is 63.Let x be the length of the wire cut for the circle.Then, 63-x is ...

Q: Use the limit process to find the area of the region between the graph of the function and the x-axi...

A: Given:Use the limit process to find the area of the region between the graph of the function and the...

Q: The number of online buyers in Western Europe is expected to grow steadily in the coming years. The ...

A: (a) The percentage of online buyers in the year 2001 is evaluated as follows.

Q: Use the Quotient Rule to differentiate the function f(x) = (tan(x) − 1)/(sec(x) Simplify the expre...

A: Given:

Q: Given function, find the inverse function Question The function f(x) 9/x-8+5 x> 8 has an inverse f()...

A: Write f(x)=y then switch x and y.

Q: The initial size of a particular substance is 75. After 3 hours the substance count is 4500. 6. Find...

A: We are given that the initial size of a particular substance is 75 and after 3 hours the substance c...

Q: Find the limit as x approaches infinity of f(x) when f(x) is x times square root of x

A: x times sqrt(x)= x times x^(1/2)= x^[1+1/2] = x^(3/2)

Q: The half-life of iodine-123 is about 13 hours. You begin with 52 grams of iodine-123. (a) Write an...

A: Consider the amount of iodine(I) as a function of time(t).

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of ...

A: Click to see the answer

Q: if sin(0)=-7/25 with 0 quadrant IV, what is cos(0)?

A: Given

Q: Can you do question 21 and show the steps

A: the equation of line.

Q: I need help with question 17 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: We will use the formula of tanh(x).

Q: Can you help with this problem step by step?

A: Given,

Q: see attachment

A: Graph the solution to the system of inequalities.

Q: step by step on how to see if these functions are inverses to each other

A: Rewrite as follows.

Q: 6x318x2 10x +30 f(x) x 3 -3 and by the formula when x f(x) 3x2 5x a when -3 x What value must be cho...

A: To determine the value of a.

Q: 2. Describe each of the following with a parametrization. Be sure to indicate the possible values fo...

A: To determine:Part a) The parametric equation of circle.Part b) Parametric equation of a point.

Q: Find the equation of a) parallel and b) perpendicular lines to the line 4? – 6? = 9.

A: Assuming the given line is 4x – 6y = 9

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. dx e

A: Click to see the answer

Q: An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to...

A: An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to...

Q: x+6 lim x--6t x+ 6 lim x6 x6 Jx 6 lim x6 x6 =

A: If x-> -6^+ then x>-6That means x+6>0So, |x+6|=x+6Answer(a): limit x-> -6^+ |x+6|/(x+6)=...

Q: see attachment

A: Click to see the answer

Q: Check for correct domain and ranges

A: Observe the graph and obtain the asymptotes if any.

Q: Consider the following function. (If an answer does not exist, enter DNE.) 7 x2 f(x) = 1 + х (a) Fin...

A: A vertical line x = a is said to be the vertical asymptote of the cure y = f(x) if it satisfies the ...

Q: see attachment

A: Domain and range of sec(x) are

Q: Find dy/dx

A: Given expression,

Q: Let f(x,y)= 6-3xy+x2 a) The function f has only one stationary point. Find it. b) Is the stationary ...

A: The given function is,

Q: find f'(x) of (((3x^2+1)e^x^2)/(2x+1)^5)^5 using logaithmic differentiation.

A: The given function is,

Q: lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and...

A: Given

Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 44...

A: Click to see the answer

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: I need help working this problem. I get stuck at this point. I think my algebra is failing with the ...

A: Given function: m(t)=2/(t-1)

Q: Use the method of partial fraction decomposition to perform the required integration. X1 (x-7)2 x 1 ...

A: Write x+1 as x-7+8 to simplify the integrand

Q: If f'(1) = 1, f(2) = 3, f'(2) = -3, f'(4) = 10, g(1)= 4, g'(1) = 2, find (f o g)'(1) and (f(xg(x)))'...

A: Apply chain rule on to find (fog)'(1)then plug the given values. Answer: (fog)'(1) = 20

Q: A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find tan B, sin...

A: To determine the basic trigonometric ratios of the given angles

Q: see attachment

A: The polar coordinates are,

Q: Find the derivative

A: To calculate the derivative of f(x) at x =0

Q: Find the solution of the exponential equation 121-x _ = 2 in terms of natural logarithms, or correct...

A: Click to see the answer