Find the derivative or the runction y=(1+9z)/(3z)

Q: Find the exact area of the region between y = 3x² + 12and y = 4x + 4 over [- 3, 3]. Show all work.

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Q: Find the vector x determined by the given coordinate vector [x] and the given basis B. B= 1 6 - 6 4…

A: The solution is shown in step-2

Q: Solve the given differential equation by undetermined coeffic y" - 6y' + 9y = 9x + 7 y(x) =

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Q: It costs $30 a day to rent a dump truck plus $0.95 per mile. A. Is this an example of a linear or…

A: Given that fixed cost to rent a dump truck a day is $30 and per mile the cost to rent the truck is…

Q: Sandra is a 25-year-old woman who weighs 120 lb. She burns 300 - 50t cal/hr while walking on her…

A: Given calories burn (300-50t) calories per hr.Calories intake 80t in t hr.

Q: 0.4t Find the time t² + 62 The concentration of a drug t hours after being injected is given by C(t)…

A: Given the concentration function: C(t) =

Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 1 2 3 4 P…

A: The graph of a function is shown together with the tangent line at a point .To estimate the…

Q: For the function, f(x) = -2x+5, complete parts a through c. a) f(x + h) = b) f(x+h)-f(x)=…

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Q: Solve it on paper!

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Q: Find the length of the curve. r(t) = (7t, 3 cos t, 3 sin t), -2 ≤ t ≤ 2

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Q: Find the general solution of the given second-order differential equation. y" + 36y = 0 y(x) =

A: To find the general solution of the solution of the given second-order differential equation.

Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -6, y'(0) = 1

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Q: Use the graph of f(x)= 0 < x -2<8. Enter the exact answer. 8 = Number = y below to find a number…

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Q: possible. I= Y - y such tidl Ty = 66 and whose product is as large as

A: The given equation is x+7y=66Find value of x and y whose product is as large as possible.

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

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Q: 5. Suppose that reproductive success R as a function of age at maturity a can be modeled by R (a) =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the given table to approximate f '(a) as accurately as you can. f '(13) = x 12.0 12.99 13 13.1…

A: Solution is given below in step 2.

Q: Find an equation of the tangent line to the given curve at the specified point. x² - 1 x²+x+1 (1, 0)…

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Q: Σ k=2 k3/2 k5 - k-7

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Q: Find all values x = a where the function is discontinuous. 6. f(x) = -3/(6x - 8)(8 - 2x)

A: A function is said to be discontinuous at a point where it is not defined.

Q: ALTHOUGH PARTIAL FRACTION EXPANSION IS THE MAIN FOCUS IN QUESTIONS #4- # 11, DO NOT FORGET ABOUT…

A: The integration given is,

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Consider the indefinite integral: A = The integrand has the following partial fraction…

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Q: Find the critical points of the functions f (x, y) = x² + 2y² - 4y + 6x, g(x, y) = x² – 10xy + y Use…

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Q: 1. Evaluate. a) lim b) lim x² + 9x-4 x²2x-8 x + 2

A: The solution is shown in step-2

Q: 1 Let f(x)=√√4x-3 and g(x)= . Find (f+g)(x), (f- g)(x), (fg)(x), and (f+g)(x) = (f-g)(x) = (fg)(x) =…

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Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

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Q: FI x4 NYI 0₁ F5 F₁ | 7₂ | F₂ |fu|t₂ 00.jo. 40 35 20 50'70 50' 10'30

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Q: Evaluate lim x 0 cos(x+2) sin x Show all work.

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Q: Solve it on paper!

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Q: A table of values for f, g, f', and g'is given. f(x) g(x) 3 2 x 1 2 3 ليا 1 7 8 2 (a) If h(x) =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Suppose that T is to be found from the formula T= x(e+ e¯y), where x and y are found to be 5 and In…

A: The solution is shown in step-2

Q: The answer

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Q: The position of a particle moving in a straight line during a 5-second trip ( 0 ≤ t ≤ 5) is given by…

A: The velocity function given is

Q: 5. Use a multivariable chain rule to find a formula for the given derivative or partial derivative.…

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Q: Find the particular solution. (Remember to use absolute values where appropriate.) dy = (4/x - x)…

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Q: Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 6,000 and P'(1,000)…

A: To determine the meaning of given statement.

Q: Each iterated integral is an integral over a region D. Match the integral with the correct region of…

A: Match the region with given integral

Q: Find the area of the ellipse cut from the plane z = 9x by the cylinder x² + y² = 16.

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Q: Consider the equation x³ - 10x² + 12x − 1 = 0, a) Show that if we apply Newton's method to, to find…

A: The equation  then we have to answer the following...Newton's Method: If  is an approximation a…

Q: r +3 lim- 7-9 √√T-9 V

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Q: 3. If |ū| = 6, |v| = 12 and the angle between these vectors is 83°, determine a) u xv b) u v

A: If  and the angle between these vectors is , then to determine the following: (a) (b)

Q: Please show work and all steps clearly. Thank you. Find the area of the region enclosed between f(x)…

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Q: Let D be the parallelogram in the xy-plane spanned by the vectors (3, 8) and (3, 4). Apply the…

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Q: Use the Limit Comparison Test to determine if the following series converges or diverges. 00 1 Hint:…

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Q: Find the derivative of the function. (6) - cos(6²)

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Q: Perform a test to determine if b lim Stan(60)do=[ b→x/120 (Simplify your answer.) x/12 O Converge…

A: We know an integral is called convergent if it has finite value otherwise its divergent.

Q: ind the area of the region enclosed by the curves x=y²-4y and x=2y-y² Area =

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Q: Use the graph of f(x) = 0 < x -1 < 8. 8 ² below to find a number & such that ² - 1 < 0.5 whenever =…

A: To use the given graph of f(x) to find a number δ such that

Q: Find an equation for the tangent to the curve at the given point. 7. f(x) == 6 square root of x - x…

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