Find the vertex of the parabola by applying the vertex formula h(a) = 6a?+ 16 O (1/12, 385/24) (0, -16) (0,16) O (1/12, -385/24)

Q: Given the differential equation y" - 5y' = 8 x² e -7x Find the Differential Operator for the Left an...

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Q: Evaluate the integral

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Q: 1. Divide. Write the answer in simplest form. 4등+ 9 2. Write the decimal as a percent. 0.89

A: Given query is to perform indicated operation on the numbers.

Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: (-x+ 2, x 0 not, why?

A: The given function is: g(x)=-15x+2,  x&lt;0-2,            x=0x+2,         x&gt;0 From the definition...

Q: Using the trapezoid rule and 1 rectangle, the integral fo dx is approximated by This is an • because...

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Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D %...

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Q: 3.) Solve the following system using Gaussian elimination with scaled partial pivoting: -1 -2 1 -1 %...

A: The given system,1-12-21-14-12x1x2x3=-22-1

Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of ...

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Q: Which of the following is equivalent to the integrand of ((sin(Inx7))? Which of the following is equ...

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Q: A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a c...

A: Solution ) initial velocity ( u )= 40 ft/sec                   Acceleration ( a )= - 19ft/sec2      ...

Q: Find x' for x(t) defined implicitly by x +tx+t° - 5=0 and then evaluate x' at the point (- 1, - 3).

A: Follow the procedure given below.

Q: Differentiate. y = eP(p + pVp) y' =

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Q: 4.-/1 pointsLarPreCalcRMRP7 1.2.010. Does the relation describe a function? Domain Range (State) (El...

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Q: dy Solve: (e +e-²)- = y? (separation of variables) dx

A: We want to solve the given differential equation.

Q: A function F (x) is called an antiderivative of a function f (x), if (A F (x) =f (x) B F (x) =f (x) ...

A: A function F( x) is called an antiderivative of a function of f( x) .  If F'(x)=f(x)

Q: find u and du. show

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Q: Evaluate the indicated function for f(x) = x - 1 and g(x) = x – 2 algebraically. If possible, use a ...

A: Given query is to find the value of indicated function 

Q: S- 5e2*dx 9e 4x - 6e2+1

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Q: 11. A go-cart and driver have a combined mass of 300 kilograms. They are traveling at a constant spe...

A: Given that a go-cart and driver have a combined mass of 300 kilograms.Also, given that they are trav...

Q: Express the quadratic function -4x^2-20x+1 in vertex form

A: NOTE: Refresh your page if you can't see any equations. .

Q: 3x4– 5xe* +2xcos(x) Evaluate: -dx A x3 - 5e* +2sin(x) + C В х3 - 5e*- 2sin(x) + С 3x4 5ex + 2sin(x) ...

A: The given integral is; [3x4-5xex+2xcos(x)]/x.

Q: du - = In ( – u) +C If u<0, then u A True B False Question 2 8x – 16dx=2 x– 2 dx A True B) False

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Q: The average birth weight of elephants is 210 pounds. Assume that the distribution of birth weights i...

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Q: 3. The cost (in dollars) of producing x units of a certain commodity is C(x)=100+50x-0.02x (a) Find ...

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Q: Given the differential equation y" + 7y' + 6y 12x3

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Q: Q3

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the l...

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Q: Q2/ Find f (x) : 1- f(x) = 4 cos x + 2 sin x 2- f(x) = cos x - x csc x 3- f(x) %3D %3D cot x 1+cscx ...

A: As per guidelines we can solve only one question at a time. So the first question can be solved as b...

Q: SVx+sin/x Evaluate: dx.

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Q: The antiderivative of Cos(3x) is

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Q: Name: Subject: Find the Dxy by following: implicit differentiotion of the 1.) 2x°y+ 3xy³ =3

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Q: A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of...

A: The objective is to solve the above questions.

Q: a) Finite geometic series 3645 40 +60+90 + ... 8 40 +60 + 90 + + ( 3645/8 ) ... Find the formula for...

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Q: dx In then the integrand is the same as 4+e¬* 4e*+1 (А) True B False

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Q: In Exercises 22–27, find a formula for the derivative of the function using the difference quotient....

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the smalle...

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reache...

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Q: In the integral, Jcos²tsin2tat , the correct u using general power formula is; sin't sint None of th...

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Q: Differentiate. f(x) = x+ f'(x) = Need Help? Read It Watch It

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Q: csc2tdt In csc2t- cot2t +C A) True False

A: topic - indefinite integral

Q: a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indi...

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Q: where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y ...

A: here,  y=acc+12dydc=-ac2+11ac-12a(c+12)2  

Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

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Q: Which of the following indefinite integrals willresult to logarithmic expre. • Inx. A Ssec-(3x) dx 2...

A: We will find the solution. 

Q: A function F (x) is called an antiderivative of a function f (x), if F(x)=f (x) B F(x)=f (x) F(x) =f...

A: topic - derivative and integration

Q: Which of the following is not included in the Organon? A On Interpretation B On Sophistical Refutati...

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Q: Determine the roots of the following simultaneous nonlinear equations using Newtor Raphson Method, t...

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Q: Identify the location and value of any relative maxima or minima of the function. 7) V 2

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Q: First, assume the ball passes through the points (3,8), (5,20/3), and (6,5). Use this data to set up...

A: A parabola is always a second degree polynomial, whose standard equation is:- y = ax2 + bx + c ,    ...