A hole of radius r is bored through the center of a sphere of radius R. Find the volume V of the remaining portion of the sphere. V =

Q: 8. The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. a) What does f'(...

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Q: Solve the problem. Evaluate at (x, y, z) = (2, 5, 3) for the function u(p, q, r) = p 2q 2- r; p = y ...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: Identify

A: We will solve the integration. 

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side len...

A: Application of derivative

Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: Which angles are complementary to each other? 34 1.

A: We can find the required answer as below.

Q: 1. 4x° sec .3 x dx cos Va dx Væ csc Va x2 -dr 2.

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Q: If z = x sin y + y sin x a2z then дхду

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Q: Find the intervals in which f (x) = 2x3 + x2 - 20 x is increasing or decreasing.

A: Follow the procedure given below. 

Q: Solve the problem by writing and solving a suitable system of equations. A chemistry department want...

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Q: 2 In x+1 3. S dx x In?x+x In x

A: The given integral is; (2lnx +1)/(xln2x+xlnx). Repost the next question.

Q: 1. (a) State the Intermediate Value Theorem (IVT). (b) Show that the equation r+3r +1 0 has at least...

A: Let f be a polynomial function. The IVT states that if f(a) and f(b) have opposite signs then there ...

Q: The revenue per month earned by the Couture clothing chain at time tis R(t) = N(t)S(t), where N(t) i...

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Q: tate the domain and range of the following functions. y = 5x – 4 y = V - x {(x, y)ly = Vx2 – 16 %3D

A: Given problem is :

Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,...

A: Topic:- calculus

Q: Find the derivative of the function. y'(x) =

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Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given ...

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Q: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

A: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity take der...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given: So, here an=1317n-1. Now,                limx→∞ 1317x-1=13·limx→∞ 117x-1=13·limx→∞ 1limx→∞ 1...

Q: Find the derivative of the function. F(e) = (3t + 18)2/3 f "(e) =

A:

Q: Calculate the derivative of the following function. y=f(g(6x*)), where f and g are differentiable fo...

A: We have to find out

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: 5. Find a polynomial with real coefficients that has the zeros 2,3i, and -3i. (Write it without comp...

A: zeros is given 2, 3i, -3i

Q: Show all work. Use your ow 1. Solve the following e a. 3 tan x = tanx b. - sin2 x +3 ce c. 3 cos = 2...

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Q: Find the total area of the shaded region. AY 16- 14- 12 10 32 40 12 14 16-

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Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

A: Let the system of equation be      x-y+z=42x+y+z=7-x-2y+2z=-1

Q: g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = f(u) du where g(x) = u, to evaluate the follo...

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Q: The population of a city is modeled by the equation P(t) = 434,361e0.15t where t is measured in year...

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  here we have P=1 m...

Q: 12x (4x³ – 3)° dx (4 - 3)° +c 6(4x – 3)° + C 6 (4x° – 3)° + C (4x° – 3)° +C 4x° (x* – 3x)° + C

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Q: 14)A5ft tall a street light that is 2oft öábove the ground. what is the rate of change of the length...

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Q: In this question we will find a recursive formula for the integral In = | (In a)" dr. (a) Find I1 an...

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Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer ...

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Q: Evaluate the indefinite integral (t)cos (t)dt

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Q: Find the derivative of fcx) = en (sinh Cx)) 5

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Q: Given the function f(x) = 2x + 16x° + 36x, determine all intervals on which f is both increasing and...

A: f(x) is both increasing and concave up in interval from 0 to infinity...as I have done solution in d...

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

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Q: dy dr of the function given implicitly: Find 3ry + 6e" = 6e. Evaluate the second derivative at the p...

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Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: Find the derivative of the function. g(x) = log,(x) g'(x) =

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Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?

A:

Q: х3+ 4x2-9х-36 %3D 4x2+28х+48

A: Let's find.