The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. Where do…

A: Absolute maximum and minimum from graph

Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

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Q: x2 - 4x - 12 Find f'(x), f'"(x), and f8(x) for the function f(x) X+2 f'(x) = everywhere that f(x) is…

A: Given

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Q: Refer to the graph below. Find the consumer surplus for the demand function, D, when x= 20. Hint:…

A: We have to find the consumer surplus for the demand

Q: Use a change of variables or the table to evaluate the following definite integral. 10 e 2X dx 2x…

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

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Q: If C(t) = 46.5t e -0.24t measures the concentration, in ng of a drug in a person's system t hours…

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Q: Use the ratio test to determine whether the series is Converyent divorgent or 2" n! (-1)" 5.8.…

A: an=(-1)n 2n n! 5·8·11·.....· (3n+2) When applying ratio test for alternatingseries, the absolute…

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

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

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Q: olve the following differential equations of

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Q: dy 1) dx y-x 2) y+x

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Q: 7) FIND EQUATION Of THE TANGENT AN LINE TO THE PARAMZTRIL X=t-+もt こe AT t =0. CURVE

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Q: ASAP

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Q: Use substitution to find the Taylor series at x=0 of the function e -9x. Choose the correct Taylor…

A: Explanation of the answer is as follows

Q: Verify Green's Theorem by evaluating both integrals ƏN dA y? dx + x² dy = ay for the given path. C:…

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Q: Solve the following: 1. Evaluate ſ x=dx 2. Evaluate S 4 dx 3. Evaluate S (x²+ x³)dx 4. Evaluate S Vx…

A: A detailed solution is given below

Q: Differentiate the following functions. Simplify and factor your answer where possible. a) f(x) = e2x…

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Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: Given problem :- A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

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Q: Is) Phd an equetian f te tangerut lme et a point C0.0) on the cur ve X= t-144 Aswers: aj 2y-x>0…

A: Topic = Derivative

Q: of tue reigon boundrd by the graph of tue algebraic fundin. 2) Find tue asea f(x) = x+12x +36 2 =…

A: Given

Q: Please do it right

A: We have to solve

Q: An iceberg travels due South at 15 km/h in a fast Labrador Current. A passenger ship, 50 km to the…

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Q: Use IBP to evaluate the indefinite integrals. 1. ∫ x³sin x dx 2. ∫ sec³ x dx 3. ∫ x cot² x dx

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Q: 5- ý = 4x+3y+2 3xt2yt1

A: This is a problem of differential equation. Based on the homogeneous system of equation concept we…

Q: esing pyphagoras th, Diff wt to t 2xda +rydy 20 at da dt az3 m

A: Apologies for the inconvenience.   Let, x = the distance from the wall. y = the height of the top of…

Q: 2. マ+32 +1

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Q: t- 36 Let g(t) = VE -6 a. Make two tables, one showing the values of g for t= 35.9, 35.99, and…

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Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

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Q: QUESTION 10 Suppose the demand function D(x) = - 3x+7 and supply function S(x) =2x+2. Find producer…

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Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the…

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Q: Use only the fact that 3x(2 - x)dx = 4 and the properties of integrals to evaluate the integrals in…

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

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Q: Consider the initial value problem. y'' − y' = ex,              y(0)=0,   y'(0)=0 (a) Write the…

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Q: 9+ 5+ g(x) 8 4 7- 6- h(x) 3 5 4 3 1 5 4 5 2 3 x-values 4 2 3 x-values If f(x) = g(x) · h(x), then…

A: Solve the following

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Q: alluse The g auss elemina fion to find the 2. -3 2. -2

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Q: d d Calculate ri(t) - r2(t)] and ri(t) × r2(t)] first by differentiati dt' the product directly and…

A: We have to find out

Q: Find out whether the series given below converges or diverges. 00 1 Σ 2/n + n n = 1 Choose the…

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Q: hW (3 Xy'a4Y) dx + (3 X*y'+2x) dy = o I) sin X dy - Sin 2X -y Cos X dx

A: Given

Q: d d Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: 5y'' + y = 0 y(x) =

A: Consider the differential equation  5y''+y=0

Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 14tj – 6VEk) dt 3 A+…

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Q: Evaluate the definite integral. e18i i+ i- (*" - 1) j + k O (el" - 1) i - (e" - 1) j + - (e" - 1) +…

A: Given query is to find the value of the integral.