Differentiate the function. G'(q) = = G(q) = (6+q-¹)²

Q: Find the derivative of the function. 1 + sin(t) 1 + cos(t) s'(t) = s(t):

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Q: Find a linearization that will replace the function over an interval that includes the Center the…

A: To linearize the function over an interval

Q: Is it possible for a 5 × 5 matrix to be invertible when its columns do not span R5? Explain why or…

A: No, it is not possible for a 5x5 matrix to be invertible when its columns do not span R5 (the…

Q: 8 e 1 x(lnx)² dx

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Q: X- An ant is moving on the surface z = x² + xy + y² such that its - and y-coordinates satisfy cost,…

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Q: Find the value of b for which the given equation is exact. (ye4xy + x) + bxe4xyy' = 0 b: II Solve it…

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Q: Suppose that y is proportional to the cube of x, and that y=16 when x=6. What is y when x=14? Round…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x² - 3y²-72² where T is measured…

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Q: J₁ f(x, y) = 4x + 7y and D = {(x, y)|0 ≤ x ≤ 1, x³ ≤ y ≤ x³ + 1} Evaluate the double integral f(x,…

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Q: The following bar graph shows U.S. math SAT scores as a function of household income.†   A bar…

A: Given:  The data is modeled by  Sx=573-1330.987x Where, Sx is the average math SAT score of students…

Q: 1. Find the second order Taylor polynomial for the function f(x, y) = = sin x + sin 2y at the point…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1. Find In(x²+1) X2 dx.

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Q: Sand falls from a conveyor belt at a rate of 11 m³/min onto the top of a conical pile. The height of…

A: SOLUTION: Given that sand falls from a conveyor belt at a rate of 11m3/min onto the top of a conical…

Q: A mathematical model for the rate at which a drug disseminates into the bloodstream is given by dx…

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Q: axis of symmetry is x =-2 the y-intercept is -12 what is the vertex of the parabola

A: Question -   axis of symmetry is x = - 2 the y-intercept is -12. what is the vertex of the parabola

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted…

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 sin(2x) J 1 + cos(x) dx

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Q: Two boys on bicycles, 47 miles apart, began racing directly toward each other. The instant they…

A: Given: The distance between two boys, d=47 miles. The speed of each boy, v=13 miles per hour. Then,…

Q: Find the local maxima, local minima, and saddle points, if any, for the function z = Give your…

A: To solve the following problem and find the local extremas and saddle points

Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: Solve for x. log3(81) + log(x) = 8 X = (Separate answers by a comma.) If the answer is radical use…

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Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

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Q: Find two vectors ₁ and 2 whose sum is (-3,5), where ₁ is parallel to (-5, 3) while 7₂ is…

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Q: Let an be the n th digit after the decimal point in 67+8e. Evaluate

A: Given : .1^n series can be written as  .1, .01, .001, .0001 .. it gives individual decimal place.…

Q: Find the values of x for which the series converges. (Enter your answer ∞ n = 0 (x - 1)^ 8n Find the…

A: The given series ∑n=0∞x-1n8n. We have to find the values of x for which the series is convergent and…

Q: User = }= * 3 – 5 2t to parameterize the equation: y t+ TI t²³ + +²2² +

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Q: 75. Find the integral of sin^2y dy.

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Q: In October 2005, a family's gasoline consumption is 45 gallons per month and is increasing at a rate…

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Q: 10. Two ships leave the harbor at the same time. One ship is traveling at 14 miles per hour on a…

A: From the data  after 3 hours first ship travel = 14*3=42 mi2nd ship travel = 12*3=36 mi

Q: 1. Sketch a graph of f(x) = = { 2x+3 3 X if x -1

A: Here we have to plot the Graph. According to guidelines we have to solve only first questions if…

Q: onsider the function f(x,y,z) = 3x + 4y + 4z +2, the point P(3,0,2), and the unit vector . Compute…

A: Given :

Q: Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-2, -5,-35) for the function…

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Q: Find the derivative of the function y = y' = | 2 In 5x 2-5x

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Q: The demand for a new computer game can be modeled by p(x) = 50.5-7 In x, for 0≤x≤ 800, where p(x) is…

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Q: John spies a bald eagle in a tall tree. He estimates the height of the tree to be 80 feet and the…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given integral:- ∫0151-x2dx

Q: 112. Science The relationship between the number of decibels 3 and the intensity of a sound I in…

A: We have to determine the intensity for both the situations with the help of given formula and then…

Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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Q: Now, if u = 9x + 2, then dx z = / ² ( ² 1 0 0 ) = ² - / 1²/ du. This evaluates as follows. (Enter…

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Q: Find the linearization L(x,y) of the function f(x,y) = (2x + y + 4)² at each point. a. (0,0) b.…

A: Given function,  f(x, y) = (2x + y + 4) 2 To find linearisation L(x, y) at i) (0, 0)  ii) (1, 2)

Q: For the following graphs of rational functions, find the equation: 3. 1. -6-5-4-3 1 0 1 N 3 4 5 6 +m…

A: We have to answer questions 2 and 3.

Q: Find the derivative of the following function. y=107x+4

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Q: The following table shows daily crude oil production by Pemex, Mexico's national oil company, for…

A: Given, Daily crude oil production by Pemex, Mexico's national oil company, for 2008–2013 is shown as…

Q: Find the derivative of the function y = x +4² log₂ (x)

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Q: Differentiate. f(x) = In |In (3x) f'(x) =

A: According to question,Given Function,fx = lnln3x

Q: dy dx (sin(x))(a). Show all your work. Find where y = (sin(x))In(x)

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Q: Let z = f(x, y) = 3 sin (exy). (Use symbolic notation and fractions where needed.) дz дх дz ду = =…

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Q: Solve the following for x. Give an exact answer using the log function. 3x 3. (532-6) = 27 X =

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Q: Express the following number as a ratio of integers. (Give your answer as a reduced fraction.)…

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