The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a function of V, and find the radius of a sphere with volume of 450 cubic feet. Round your answer for the radius to two decimal places. Enclose numerators and denominators in parentheses. For example, (a − b)/ (1 + n). Include a multiplication sign between symbols. For example, a ㅠ. * r(V) = sin (a) ∞ a A sphere with volume 450 cubic feet has radius Number feet. PW

Q: Find the gradient and maximum value at the given. point: f(x₁y) = Sy² at (4,5) X

A: Given query is to find gradient and the maximum value at the given point.

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

A:

Q: Find the measure (if possible) of the complement and the supplement of the angle. (If not possible,…

A: Given: Let x= 2π5

Q: Suppose that the marginal propensity to save is ds 1 dy y + 1 and that consumption is $14 billion…

A:

Q: Mr. Wilson , Ms. Gallery , and Ms. Stenhouse have a combined total of 44 years of teaching…

A:

Q: What is the reversed order of integration of a. b. OC. O d. S√² S√* cos(x²) dydx 0 0 √√² S√²…

A:

Q: If f(z) = æ®sinh`1(6x) then f'(x) =

A: f(x)=x3sinh-1(6x)d dx(xn)=nxn-1d dx(sinh-1x)=11+x2d dx(a.b)=adbdx+bdadx

Q: The function graphed to the right is of the form y = a tan bx or y = a cot bx for some a#0, b>0.…

A: Solution: From the given graph pattern we can observe that it is cotbx function

Q: On its From a clifftop over the ocean 150 m above sea level, an object was shot straight up into the…

A: According to bartleby guidelines we supposed to do the first three of multiple subparts kindly…

Q: Find the derivative of f(x) = = (2x-4) (3x+6) x-1

A:

Q: Compute the given integral. 7x - 2 7x² 4x + 3 -dx = +C

A:

Q: For what values of x does the graph of I have a horizontal tangent? (Use as your integer variable.…

A:

Q: Find the antiderivative for the given function. (Hint: Use inverse hyperbolic functions.) IT dx 16x2…

A: ∫dtt2-a2=lnt+t2-a2+C          Equation 1

Q: dy 1. Use implicit differentiation to find dx for the curve xy² + x² = y +1

A:

Q: To find the volume of the solid obtained by rotating the region enclosed by the curves a vertical…

A:

Q: Evaluate the integral. (Use C for the consta x² 15 + 4x 1 3/2 dx 4x2) 3/2

A:

Q: your market studies reveal the following sales figures: when the price is set at $2.00 per…

A:

Q: The function y = is a quotient. It is important to remember that the derivative of a quotient…

A: Given y = 5x2 + 7x + 9x = 5x2x + 7xx + 9x

Q: Find the derivative of the function and evaluate the derivative at given a. 7000 x d de Evaluate the…

A: Given: h(x) = xx a = 1

Q: Pls do fast within 5 minutes and i will give like for sure Solution must be in typed form Find the…

A: To find the volume of a spherical pyramid, we need to know the spherical excess and the radius of…

Q: Find the volume of the indicated region. the region bounded by the coordinate planes and the planes…

A:

Q: 7. Show that if f is a function of r only, then 0²ƒ(r) = f'(r) + ²ƒ'(r)

A: The given data is: Show that if f is a function of r only, then ∇2fr=f''r+2rf'r

Q: Evaluate the indefinite integral Sin(x) dx

A: We need to solve the following indefinite integral ∫lnxdx Formula Used: The integral can be solved…

Q: (1) Determine what comes next in the given pattern and provide solution/explanation: -7,2, 11, 20,

A:

Q: Find the antiderivative for the given function. (Hint: Use inverse hyperbolic functions.) + C F dx…

A:

Q: Suppose f'(x) = sin(4x²). d f(5x)=[ dx d ƒ(2x5) dx

A:

Q: Find all the local maxima, local minima, and saddle points of the function. 3 3 f(x,y)=x² - 6xy + y

A: To find the local maxima, local minima, and saddle points of the given function, we need to find its…

Q: Write an equation for the function graphed below -7 -6 -5 y = -3 -2 -1 5 in P P 7327? -4 -5 5 6

A:

Q: A ball of radius 11 has a round hole of radius 5 drilled through its center. Find the volume of the…

A:

Q: Choose the expression equal to (Use implicit differentiation.) E dx In(x + y) = x

A:

Q: please help me solve follow-up question from above than

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=5e-5ye*

A: Given function:- fx,y=5ey-5yex

Q: ind the work done by force field F(x, y) = e-vi — xe¯j in moving an object from P(0, 3) to Q(3,0). (

A:

Q: 1 ++ -2 6 7 V = 8 10 1 The graph above shows the base of an object. Compute the exact value of the…

A: Given: Graph is given

Q: A 75-lb weight hangs from a string as shown in the figure. Find the tensions T₁ and T₂ in the…

A:

Q: 6. Find of cos y - 2xy + 3x 2xy + 3x = 2x sin x dx

A:

Q: Find the first partial derivatives with respect to x, y, an f(x, y, z) = 4x²y - 6xyz + 10yz² fx(x,…

A: Given query is to find indicated derivative.

Q: 2 Find an equation of the tangent line to y = f(x)=√x +55 at x = 3. Enter an exact numbers, do not…

A: To find an equation of the tangent line to y=fx=x2+55 at x=3.

Q: g (s, t) = 10se³st-7t² c) If gs (s, t) =

A: To find the partial derivative of g(s,t) with respect to s,we can treat t as a constant and…

Q: Find the linearization L(x) of the function at a. f(x) =  3   x,    a = 64

A: Find linearization L(x) of the function at a. f(x)=3x , a=64

Q: B. Applying your result from 2D above to the result from Part A immediately above, it follows that…

A:

Q: Help with 2 c

A:

Q: Find of √√xy + 2x = √y dx

A: Given : xy+2x=y To find: dydx We can use implicit differentiation for finding

Q: Using the cylindrical shell method, determine the volume generated by revolving about the y-axis,…

A:

Q: y(x) is the solution of the differential equation When x = 0, y = 1. dy dx = 8xy.

A:

Q: (a) Express the velocity of the river as a vector in component form. 12i (b) Express the velocity of…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the point on f(x) 1 4 = )` √ that has a slope of

A: As we know the slope of the tangent line to the given curve is equal to the derivative of the given…

Q: root exists between = and x

A:

Q: a) Find f'(0) if f(x) = 2x Give three digits past the decimal point. b) What is the slope of the…

A: To find the derivative of given function at the mentioned point.