8. Draw a right triangle (with labeled sides) representing the angle (cot-¹(x/2)) and find sin(cot ¹(x/2)) in terms of x.

Q: The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could…

A: Solution: a. The cost of production C can be modeled as: C(r,h)=2πr2(0.02)+2πrh(0.01) Where the…

Q: The sales function for a product is given by S(x) = 124 + 36x² - 0.6x³, where x represents thousands…

A:

Q: Find the horizontal and vertical intercepts for + s² - rs = 16, if the r-axis is the horizontal axis…

A: To solve the following problem

Q: Determine all inflection points. 4x X+ 16' y= x20 What are the coordinates of the inflection points?…

A: We have to find the inflection point of the given function.

Q: On what intervals is the function f(x)=x2-9x8 both decreasing and concave up? interval(s) = Cine…

A: Given :fx=x9-9x8

Q: A = (5,-2), B = (-1,-4) AB=(x, y) X= type your answer... y= type your answer...

A:

Q: 3. f(x) = Χ (x+2)² 1 x+2

A: Given that  f(x)=x(x+2)2-1x+2 As per our guideline we supposed to answer only  first question, to…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given query is to find rate of change of volume.

Q: When recording live performances, sound engineers often use a microphone with a cardioid pickup…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 4 ¹ / ( - 6x² + + 6 - ¹ √e) de dx x6 Find + C

A:

Q: A graphing calculator is recommended. Graph the function in each of the given viewing rectangles.…

A: The given function is: kx=x432-x2+2

Q: A local youth group is selling raffle tickets to raise money for a trip. A raffle ticket costs $5.…

A: Answer below

Q: Find [(5x+3x²) da dx + C

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 8 y =…

A:

Q: Find all critical points and then use the first-derivative test to determine local maxima and…

A:

Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: Here we have to use the concept of differentiation

Q: Consider the following function, Use a graphing utility to confirm your answers for parts (a)…

A: Please see the below picture for detailed solution.

Q: 5) x² √2x - x² S√zi

A: ∫x22x-x2dx since you have posted multiple question i can answer first question as per our company…

Q: A cylinder is inscribed in a right circular cone of height 3 feet and radius (at the base) equal to…

A:

Q: EC2: Verify that y₁ = 2³ and y., = |aare linearly independent solutions of the differential equation…

A: Two solution are said to be linearly independent if neither function can be put as a constant…

Q: 2 0 3) Here is the graph of f'(x) [its the graph of the derivative, not the function]. y = f'(x) 2 4…

A: The graph of f'x is given as ,

Q: )(a) Let g(x) g'(x) = = (c) Let H(x) = H'(x) = 6 √7x² + 3 (b) Let G(x) = √√√8 + √5x. Find G′ (x).…

A:

Q: An object oscillates up and down on the end of a spring, with acceleration (in m/s²) given by the…

A: Here we have to find the velocity and distance function.

Q: Problem #5: Evaluate the following, 343 (x² + 2) e-7x dx, and write your answer in the form g(x)…

A:

Q: In 2022, Jia attends Boston college, where tuition is computed based on the following: Under 6…

A: According to question,Given information,Let us assume T(x) be the tuition Jia pays when she takes…

Q: 2. The demand function for a product is modeled by: 500 p a) Determine the elasticity function, E…

A:

Q: v= x-², x=1-y²; about x = 4 Sketch the region. 0 -2 Sketch the solid and a typical disk or washer…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Thoroughbred Bus Company finds that its monthly costs for one particular year were given by C(t) =…

A: Thoroughbred Bus Company finds that its monthly costs for one particular year were given by C(t) =…

Q: 28. •π/6 S sec Ꮎtan Ꮎ de

A:

Q: (b) Use the formula in (a) to find the derivative of 14 F(x) = e² ( 700 (10D + √² ) ( 2³ + 7²2²) -2…

A:

Q: Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released…

A: Given query is to find the time laboratory should remain vacated.

Q: How much work is done by a variable force F(x) = N that moves an object along a straight line in the…

A:

Q: 10 Discuss the continuity of this function. There is a ---Select--- Need Help? Read It 12 14…

A: N(t)=30(3[[t+33]]-t)N(3)=30(3[[3+33]]-3)=30(6-3)=90N(6)=30(3[[6+33]]-6)=30(9-6)=90similiarily,N(9)=9…

Q: Give a rule of the piecewise-defined function. Give the domain and the range. What is the rule?…

A: Please see the below picture for detailed solution.

Q: Find dx dt dx dt at x = −5 if y = −4x² – 5 and dy dt = -4.

A: y=-4x2-5given  dydt=-4d dx(xn)=nxn-1d dx(constant)=0

Q: Find 3 4 [² 6² ² 2 2 x + y dydx.

A:

Q: 5) Here is a description of the derivatives of f: f'(-1) DNE, f'(2)=0 f'(x)>0 when x2 f'(x)0 when 15…

A:

Q: 42. √(x + (x + 4) ² dx

A:

Q: known that a certain kind of algae in the Dead Sea can double in population every 4 days. Suppose…

A: Given query is to find the time for population to quadruple and triple.

Q: Tell whether the expression is a polynomial. If it is, give its degree. If it is not, state why not.…

A:

Q: Find T, N, and к for the plane curves in Exercises 1-4. 1. r(t) = ti + (In cos t)j, π/2 < t < π/2

A:

Q: Cell Phone Ad Spending A certain industry's ad spending between 2005 (t = 1) and 2011 (t = 7) is…

A:

Q: Choose the correct answer regarding solutions to the system of equations represented by the…

A:

Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

Q: A lighthouse stands 500 m off a straight shore and the focused beam of its light revolves four times…

A:

Q: Use a linear approximation to estimate the following quantity: tan 3° What is the value found using…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curves: y = x²/9, x =…

A: To find the volume of the solid obtained by rotating the region bounded  by the curves. y=x29,…

Q: Consider the graph of Cx + Ay = B where A, B, and C are all positive consta (a) Find the coordinates…

A: Given: Cx+Ay=B

Q: Simplify. Express your answer using positive expor (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

A: Given: (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

Q: Solve the initial value problem by Laplace transform y"-y'-2y=e", y(0) = 0, y'(0) = 1,

A: