Question Find the equation of the tangent line to f- at the point P(1, 2) for f(x) = /3 – x. %3D Provide your answer below:

Q: cos(x + y), when x = 0,y =" dx

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Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: 3. Solve the following equations over all real num V2 sin(-x) + 1 = 0 a. |

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

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Q: A- Find the distance between the line (y =x+3) and center of circle (x+y-2x-0). B- Using Cramer's ru...

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Q: 3x2+- 8(y + 1) = 0

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Q: Te relationship beween a profesSIonal basketball players helgh H (IN Ihches) anta welght w (In pound...

A: Given query is to find the weight for the given modal.

Q: 5. S(5 -5°dx

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Q: 6. y = In (e* + e*)

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Q: +o0 E(-1)" n=2 n?

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Q: Find a power series representation for the function. (Center your power series representation at x =...

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.

Q: b. (2,1)

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Q: Using f (x) = In(3 – 2x), find the value of L and calculate the radius of convergence of the series....

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Q: dx (x+1)v2x2+4x

A: Given: I=∫dxx+12x2+4x   We know that; ∫1x2+1dx=tan-1x+C   So, We can also write as:   I=∫dxx+12x2+4x...

Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: (a) Graph the function f(x) = 1/x (b) Hence, using translations, reflections etc., graph 1 f(x) = -1...

A: We have to draw the graph of the given functions according to the given information 

Q: 8. Use the two-column proof table to simplify the given proposition. PV {¬(-Qv P) A-(-QVP) v (Q A¬P)...

A: Using table solve it. 

Q: Find the equation of the line tangent to an inverse function Question -3x - 3 Find the equation of t...

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Q: If x + y = 0 and x # 0, then what is the value of x 2007 y 2007 O -1 O 2 O 1

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of c...

A: Each corner square has side 'x' Length of the box = 19-2x Width of the box  = 11-2x Height of the bo...

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: Determine the maximum and minimum values ​​of the function f(x, y) = 2 +x+ 3y, in the region  x ≥ 0...

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Q: Let f (x, y) = e^x (sin(y) +1) and use the point P (0, (pi/2)) a. Find the gradient of f at P. b. F...

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Q: Solve this differential equation: dy 0.05(900 – y) dt y(0) = 50 %3D y(t) = Note this is limited grow...

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Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is rotat...

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Q: To evaluate the integral 1 dx x2 – 16 2х — we use the partial fraction decomposition of the integran...

A: Explained below

Q: (a) f(x) = (3x² – 1)/T +x/4 (b) y(x) = r-1 r³+2 (c) g(t) = [(t³ + 4)(t² – 1)]/

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Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx  

Q: Question 6 - P Consider a room in the shape of a cube, 4 meters on each side. A bug 4 m at point P w...

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: Analyze ( find the relative extrema, inflection points) and trace the curve y = x3 - 3x2 - 9x + 5.

A: Given function f(x)=x3-3x2-9x+5

Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given di...

A: Given differential equation y''+4y=0  y1(t)=cos(2t)     , y2(t)=sin(2t)

Q: Given cost and price (demand) functions C(q) = 110q + 42,000 and p(g) = - 1.9q + 860, What price sho...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  and the demand func...

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: Question Select your answer. Find the derivative of f(x) = 5/I with respect to r. 2x 5 Answer

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Q: You record the temperature every hour from midnight until​ 8:00a.m. You see that the temperatures​ (...

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Q: Find (and simplify) the equation of the tangent line to the graph of

A: Equation of Tangent line to curve y=3xx-1, at x=2

Q: • TT 2. sin? cos' –dx 2

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Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is (2y/x)+Iny=c (2x/y)+3ln...

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Q: SHOW YOUR SOLUTIONS. I. Eliminate the arbitrary constants. 5. (x – a)² + y² = a²

A: Given :   (x-a)2+y2=a2

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6500. ...

A: The given data is: The demand equation for the computer is given by pq=-5q+6500, where p is the pric...

Q: Your are driving away from New York. Your distance​ (in miles) away from New York x hours after​ 1...

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: It can be solved using differentiation and quadratic formula.

Q: Calen Given revenue and cost functions R(g) = 90g - 0.3g and C(q) = 12g + 600, find the maximum prof...

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Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

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Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: Consider f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(x)= ------- Bas...

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Q: 5. y- Br*-+습

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Q: 12.-/1 pointsLarPreCalcRMRP72.3.028.MI. Use synthetic division to divide. (6x + 3x + 8) + (x+2) to

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