Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: (-3, -3); Point: (-1, 2)

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A: Explanation of the answer is as follows

Q: Score! Question 16 The number line below shows a value on a log scale. 105 10-4 103 10 2 10-1 100 1...

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Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y ...

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Q: A container with square base, vertical sides, and open top is to be made from 1000 ft2 of material....

A: Let the container has a base side "x" and height "y"

Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: To evaluate the integral 1 dx x2 – 16 2х — we use the partial fraction decomposition of the integran...

A: Explained below

Q: Find the total differential. z = e-X tan(y)

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Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given di...

A: Given differential equation y''+4y=0  y1(t)=cos(2t)     , y2(t)=sin(2t)

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...

A: According to the problem, we have

Q: A company produces a special new type of TV. The company has fixed costs of $453,000, and it costs $...

A: We have to find the price that can maximize the profit.

Q: 3.) 124-1|dx Evalnate: dt given taat Ina = 9 Evalmate t

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Q: How to solve the following ordinary differential equation (ODE) xy' – 2y + y² = x“.

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Q: sinh(5) = (A) 5 + v26 (B) In(5 + v24) (C) In(5 + v26) (D) e-e-5 (E) 5 2

A: Find your answer below 

Q: QUESTION 5 Use the inverse transforms of some basic functions to find the given inverse transform. 1...

A: We know that, Laplace inverse of {1s}= 1 and Laplace inverse of {ss2+a2} = cos(at).

Q: +00 2 -1)"+1(3n)! 3n+1

A:

Q: Reduce the equation to one of the standard forms, classify the surface, and sketch it x^2-y^2+z^2-2...

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Q: What is the additive inverse of the complex number 3-7?

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Q: 5. y = xArctanx - In V1+x²

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Q: 20x² Evaluate the integral: -dx V64 – 72 (A) Which trig substitution is correct for this integral? 8...

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Q: (a) f(x) = (3x² – 1)/T +x/4 (b) y(x) = r-1 r³+2 (c) g(t) = [(t³ + 4)(t² – 1)]/

A:

Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: Question 3 Find the change in y = 2x -3 if the x changes from 3.3 to 3.5. А) 0.1 0.2 0.3 0.4

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Q: Integral from 0 to 1 of (3^x)/(e^x). The answer should be decimal

A:

Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

A:

Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b) ...

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Q: Question 6 - P Consider a room in the shape of a cube, 4 meters on each side. A bug 4 m at point P w...

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: Q1) Solve the following system of linear equations: [ 3x-2y32-z 02) Find the largest possible area o...

A:

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

A:

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 tran...

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Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

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Q: f(x) – f(1) If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:23 PM

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Q: Ísin^2 (x) cos^2 (x) dx * O 1/8 x -1/32 sin4x + C O 1/8 x - 1/32 sinx + C O 1/8 -1/32 sinx + C O Non...

A:

Q: 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r+1)...

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Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/...

A: Let the radius of the sphere is r then given drdt=4 mm/secand diameter is 2r=40 mm

Q: If x + y = 0 and x # 0, then what is the value of x 2007 y 2007 O -1 O 2 O 1

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Q: Evaluate the given integrals. sin 6x dx sin23x 4.

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Q: The planes I. and II, have equations IL : 6y+5z =-19, 5 II,: -x -4y+7z =1. State the normal vector o...

A: We have to find the normal vectors of the given planes.

Q: An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment ...

A: Given problem:- An annular cylinder has an inside radius of r, and an outside radius of r₂ (see figu...

Q: If the second derivative of the equation of a curve is equal to the negative of the equation of the ...

A:

Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: • TT 2. sin? cos' –dx 2

A:

Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

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

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find ...

A:

Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: By considering the real and imaginary parts of the product eiθ eiφ prove the standard formulae for c...

A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the standar...

Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: X- 3/ = 12

A: