14. f(x) 1/x, a = -3

Q: 2r dr (1 - r)"

A:

Q: per week) oOf revenue. decroasing at a rate $6 per week. Find the associated revenue function R(p) a...

A: Given query is to find revenue function and rate of change of revenue.

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

A:

Q: Find the area of a sector of a circle with a radius of 5 ft with a central angle of 4

A: Given query is to find the area of the sector.

Q: Given vector u = (-6,1) and v = (-5, 6) , determine the value of 2v – 2u. Click and drag the dotted ...

A:

Q: Consider the following. u = (5, 7), v = (6, 2) (a) Find the projection of u onto v. (b) Find the vec...

A: Given, u=<5,7> v=<6,2> projvu= (u.v/|v|²).v u.v= 5*6 + 7*2= 30+14= 44 |v|= √(6²+2²)= √(3...

Q: Given the function f(x) = 8+8æ", calculate the following values: f(a) = %3D %3D f(a + h) = %3D f(a +...

A:

Q: Evaluate the following integrals: 1. S (3* + 4°)² dæ

A: We can find the integration as below

Q: find A-1 using Gaussian elimination and check the resul 3 -2 [1 1) A = |1 2 4. 27 1 1 Ans: A-1 = -2 ...

A: Explanation of the answer is as follows

Q: Find f'(x). f(x) = In x +3 eX – 4x² %3D

A: f(x)=lnx+3ex-4x2Differentiate with respect to xf'(x)=ddx(lnx+3ex-4x2)=1x+3ex-(4×2)x=1x+3ex-8x

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x? + y? + z? (5,...

A:

Q: draw a tree diagra w : fLx, y,z,N n and write chain rule! ニ y = f lu,v) , Z=f lu,V), N= f (u,V).

A: Here we will draw tree diagram and write chain rule,

Q: The shaded region shown below is bounded by the functions f (x) = -3x2 +8 and g(x) = calculator, rou...

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Q: Given the following differential equation and its initial conditions y" - y' - 2y -0 with y(0) - -2 ...

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A: We have to find such a vector whose magnitude is 6 in the direction of a vector u = ( 1,1 )

Q: R be the region bounded by the functions f(x) = -4x2 + 10 and :) = 4x +2 as shown in the diagram bel...

A: Given query is to find the are bound by the curves.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

A: Solve

Q: 1. Find the general solution of the differential equation: d'y d'y dy + y = 0 dr - dr3

A:

Q: Solve the equation. マ+ 16 O {2} 骨 {-2}

A:

Q: 1. х2у %3D 1+сх

A: topic - differential equation

Q: The price of a certain item is related to the number of units supplied each month by the equation 2p...

A: topic - implicit differentiation

Q: Determine Where f(x) = 6x-40x + 120 %3D is increasing. Select all that apply Hint: Use a sign chart ...

A:

Q: Suppose that we don't have a formula for g(x) but we know that g(1) = -1 and g'(x) = V x2 + 15 for a...

A: Given, g(1)= -1 g'(x)= √(x²+15) g'(1)= √16= 4

Q: 10. f(x) = cos (2x)e*²-1

A:

Q: 4. f(t) = V3 – 2t , find f""(t) %3D

A:

Q: Xuestion a. Find the malnitude d) the resultand d tuwo gever between vectos whew they ú and V, qiven...

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Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) ...

A:

Q: Find the value of c if (1 + c)-n = 3 n = 2

A:

Q: We now use the substitution u = x° + 8x and du = (9x° + 8) dx to convert the entire integral into on...

A: We have to solve integration 

Q: Use implicit differentiation to find y' and then evaluate y' at (- 2,0). - 32 ey = x5 - y3 y' = D y'...

A:

Q: 2. -2

A:

Q: O Determine it the following function is eontinues at 2 f(x) = [2x*_2x-4 if x +2 ノ X-2 1 if x=2

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Q: Convert the angle from radians to degrees. 0 = 4

A:

Q: Find f. f"(e) = sin(e) + cos(8), f(0) = 2, f(0) = 2 f(e) =

A: Given problem:- f''(θ) = sin(θ) + cos(θ) , f(0) =2 , f'(0) =2  To find:- f(θ)   

Q: For the given cost function C(r) = 72900 + 600x + x² find: a) The cost at the production level 1000 ...

A: The given cost function is C(x)=72900+600x+x2               Note: The expert is supposed to answer t...

Q: Find f. 3 f'(x) = 1 - x? f(x) =

A:

Q: Give the first four nonzero terms of the series about x = 625 representing the function f(x) = v

A:

Q: x Vx 2 dx

A: Here we have to evaluate         ∫x√(x+2)dx

Q: function D = x* - 18x + 12 a derivative of ) = 4x – 36x = 4x(x? – 9) - 9) |

A:

Q: Part B Sx² + 3x – 5 13 — г3 ifæ 2 |

A: Limit

Q: 1+ iv3 consider the complex number z 2(1 – i) Find |2| and arg(z).

A:

Q: dx Vx? + 2x + 5

A:

Q: Rion to 2%3D8

A: Solution :Derivative with implicite diffrantiation Given  : x2y+y2=8

Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: a) Given vectors, u=-7i-4j-2k,v=4j+4kWe know that projection of u on to v is u.vvv^=(-7i-4j-2k)(4j+4...

Q: Consider the following planes. 5x + 2y - z = 22 x - 4y + 2z = 0 (a) Find the angle between the two p...

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A:

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as sho...

A:

Q: .3 Write an integral that is equivalent to -6 xf da. b = f(u) du Submit Answer

A: Substitute  13x2 = u and solve the integral.  ∫ab f(x) dx =-∫ ba f(x) dx.