D. (2x + 3) y =y+ y° (2x + 3) 2

Q: Find the first and second derivatives of the function. g(t) = t°(6t + 5)* g'(t) g"(t) =

A:

Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: 13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be ...

A: Given: $45=fixed Cost of data plan$0.40=variable cost of data per gigabyte or gb$2=fixed part of con...

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Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.

Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: 19. Differentiate the following functions. c) y = Vx ++ Vã sec (x³+1) cos ya d) y =

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Q: Using the following equation, find the center, vertices (and its axis), foci, and asymptotes. (Note:...

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Q: Evaluate the integral dx et – e-x

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Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

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Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

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Q: Create a question covering the following topics; 1. Inequality( quadratic) 2. Equation ( cubic usi...

A: Inequality is a mathematical expression that compares the algebraic terms by using less than or grea...

Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always three...

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Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: Pivot once as indicated in the given simplex x, tableau. Read the solution from the result. X2 51 3 ...

A: Given : The simpex tableauTo find: The solution from the resultx1=  , x2=   , x3=   , s1=   , s2=   ...

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

A:

Q: Identify

A: We will solve the integration. 

Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: Consider the following. 2r I+4 f(x) = Use a computer algebra system to find the derivative of the fu...

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Q: In November 2021, the stock price for an Apple Inc has increased from $131 to $148 per share and Ama...

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Q: dw If w = x2 + y2 and x = at?,y = 2at find dt

A: Differentiation

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side len...

A: Application of derivative

Q: п (п Let d e R. For the arithmetic series (n-1) d, verify that sn = n=1 Also, show that an arithmeti...

A: We will check the divergence of the arithmetic series. 

Q: 24. Find the limit using the L'Hospital's Rule. a) lim x+0 (e2k-1) Inx b) lim X+0o x

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Q: Find the derivative of the trigonometric function. cot(x) f(x) sin(x) f'(x) = Need Help? Read It Wat...

A: Given that       f(x) = cot(x)/sin(x) 

Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is $494000 and the variabl...

Q: Question 1: The lateral surface of a (right) cone is given by LA = TrVh² + r2 where h is the height ...

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Q: Find the derivative of the function. g(x) = log,(x) g'(x) =

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Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

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Q: Find the derivative of the function. Vi+3 y'(x) = Need Help? Read It

A: Given find derivative of y=4xx2+3

Q: Find what value of c does L dx = 1 ? x4 Answer:

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Q: dy = ay + b whose dt Write down a differential equation of the form solutions all approach y 3 as t ...

A: Given,dydt= ay+bdyay+b = dtLet  ay+b=zdifferentiating both sides       a dy = dzSo,dzaz=dt1a. dzz=dt...

Q: A circular swimming pool has a diameter of 16 ft, the sides are 5 ft high, and the depth of the wate...

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Q: 2. Let a > 0. Find formulas for the following indefinite integrals (these are not all inverse-trig i...

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

Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

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Q: Simplify the expression tan (sin- (-)). Provide your answer below:

A: Given that tansin-1-1237Solution :tansin-1-1237tan-sin-11237       sin-1-θ=-sin-1θ-tansin-11237     ...

Q: How to calculate this? What is the future value of $1966 that you have today, in 14 years, assuming...

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Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O...

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Q: The sides of a square increase in length at a rate of am/s. At what rate is the larea of the square ...

A: Area of square with side 's' isA=s2Differentiate with respect to xdAdt=2sdsdt Substitute dsdt=2, s=1...

Q: Let u = (-2, -2), v = (-5, O (0, 2) (-1, -3) O (-7, -5) O (-3, -1)

A: Vector, a quantity that has both direction and magnitude.

Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

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Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: 4. An analyst has found that Granny's Surf Board Company monthly profit function is: P(x)=-0.05x2 +5...

A: Solution: P(x)=-0.05x2+50x-2000

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: You deposit $1100 in an account with 4% annual compound interest. Complete the following, assuming y...

A: