dx J V3 – 2x – x2

Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: Estimate f(5.06) for ƒ as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to...

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Q: tan z, find v(/6), (z – ), V(-z), and express (2z) as a 9. If v(z) function of (z).

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: e. Find the area under the curve y = vx + 8 from x = -8 to x = 4. Give exact answer.

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Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

A: ann=1∞ be a convergent sequence such that a1=5 and an+1=5an

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: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: 2sin x -1 2. y = cosx+ 2

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

Q: 2 dx х3.4 а. x2.2

A: ∫1x2.2-2x3.4dx∫x-2.2dx-2∫x-3.4dxFormula: ∫xndx=xn+1n+1+C

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 tran...

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Q: yi + yi = 1, when x = 0, y = 4 %3D

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Q: Evaluate the given integrals. sin 6x dx sin23x 4.

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Q: QUESTION 5 Use the inverse transforms of some basic functions to find the given inverse transform. 1...

A: We know that, Laplace inverse of {1s}= 1 and Laplace inverse of {ss2+a2} = cos(at).

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1 quest...

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: these equations have distinct, real, characteristic roots. Find the general solution in each case a...

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

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Q: siny Given the integral S" S" dy dx, Sketch the region of integration, reverse the order of integrat...

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

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = = 1, and y = 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: Find the derivative of f(x, y) = e*y + eY at the point (1,3) in the direction of the vector

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Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

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Q: 2+x 9 y = Arctan( ) 1- 2x 10. x = cos't ; y = sin'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: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: 5. y = xArctanx - In V1+x²

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Q: Let n be an integer and let a, b, x be real numbers. Evaluate | |cos(27n)|dx

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Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

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Q: Question Select your answer. Find the equation of the tangent line of f(x) = x2 + 5x at x = 2. y = 1...

A: A detailed solution is given below

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx 1 + x2 trans...

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Q: sinh (5) = %3D (A) 5 + V26 (B) In(5 + /24) (C) In(5 + v26) (D) 8. (E) 5

A: Use the definition of hyperbolic of sine function. 

Q: If   C(t)=50te^−0.5t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours ...

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Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x3...

A: Given y=tan-12+x1-2x To find y'':

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y = 0, y = 7+ x...

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Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: ng - 0.25t measures the concentration, in of a drug in a person's system t hours after the drug is a...

A: Goven,             Ct=49.2te-0.25t measures the concentration in ngml, of a drug in a person's      ...

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x) b) Find...

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Q: Find the local maxima, local minima, and saddle points of z = f (x, y) = x2 + y* + 2xy Identify a,y,...

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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: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the poi...

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Q: - y = (2x² – 4x + 1)60

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (1,-3) -5...

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Q: Given cost and price (demand) functions C(q) = 100q + 40,000 and p(g) = - 2q + 870, what is the maxi...

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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