Given the function f(x) = 2x + 16x° + 36x, determine all intervals on which f is both increasing and concave up.

Q: Find the derivative of the trigonometric function. y = cos(4x) Need Help? Read It Watch It

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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: 4. Evaluatelimx-1x-1x-1. Show your complete solution.

A: Here we can apply L'Hopital for 0/0 form. 

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A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

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Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find. 

Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

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

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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

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A: Topic = Integration

Q: Find all points (x.y) where f(x,y) has a possible relative maximum or minimum. 10x.y) = x² - 5xy + 6...

A: f(x,y)=x2-5xy+6y2+3x-9y+8consider fx=0⇒2x-5y+3=0⇒2x-5y=-3consider fy=0⇒12y-5x-9=0⇒5x-12y=-9 Solve th...

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

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

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

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Q: Create your own examples. Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each ...

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Q: -7 -4 A = -12 -3 -12 8. 50 has 1 = -3 as an eigenvalue with multiplicity 2 and 1 = 1 as an eigenvalu...

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Q: a) Enter a definite integral that gives the volume of the solid when the region above is revolved ab...

A: given problem is solved below in detail.

Q: Exercise 4: Mastery Learning Game Directions: Find the derivative of the following functions: 1. y =...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: A company produces a special new type of TV. The company has fixed costs of $491,000, and it costs $...

A: We have to find the profit

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Q: Use the Theorem of Sequence Defined by a Function to determine the limit of the sequence or state th...

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Q: Evaluate the indefinite integral (t)cos (t)dt

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Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

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Q: Of inter SECtion 'of thie plánes 2x+y-32=14 delete 2. Find the canation of Hhe plane Containing the ...

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Q: 14x - 39 * The partial fraction decomposition of can be written in the form of 12x2 - 13x - 14 f(i) ...

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5% of the drug...

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Q: 4. Evaluatelim X-1 Show your complete x-1 solution.

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Q: iven f(x) = Find x+h)-f(x) h+ 0. h

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Q: Draw the Rollowin functions ゴ= 4メ-1

A: We have to draw y2=4x-1

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

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Q: The population of a city is 140,000. The city declines continuously by 4% per year. If this trend co...

A: Given that the population of a city is 140,000. The city declines 

Q: The form of the partial fraction decomposition of a rational function is given below. 16 – (x² + 10x...

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Q: If g = 2430°, simplify the expression sin(sin g). If undefined, enter Ø. Provide your answer below:

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Q: Vx+4 -3 3. Evaluatelim x-5 Show your complete x-5 solution.

A: topic - limits

Q: х3+ 4x2-9х-36 %3D 4x2+28х+48

A: Let's find. 

Q: Find and sketch the domain of z = f(x, y) = In(9 - x - y²).

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Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10...

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the ...

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

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Q: sec°(x) -dx V cot(x) со X

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Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -...

A: We have to find out the vector

Q: Given the matrix 4 1 -1 0. 0 2 -1 (a) find its determinant; Your answer is : (b) does the matrix hav...

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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: 1 what is sin(-x)? 7 Given that sin(x) =

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Q: Evaluate the integral. | sec (3x +2) dx sec (3x + 2) dx =

A: Let 3x+2 = t

Q: 2. Graph the following functions for one period. And show (or specify) the intercepts and asymptotes...

A: Curve sketching and x-intercept and Asymptote.

Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,956 yd of fencing with which to encl...

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