Free Response. 1. Find the width and height of an older 50-inch television whose screen has an aspect ratio of

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A: Given expression: x-92+y2=9       ..........(1)

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A: Topic- Application of derivatives We are given, height of a ball launched in the air t seconds after…

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Q: Find the variation constant and an equation of variation for the given situation. 1. y varies…

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Q: company produces two types of drills, a corded and cordless. The cord-type drill requires 2 hours to…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: We need to determine function. As per Bartleby guidelines we can solve 1 question from multiple…

Q: . Let f(x) = (x² − 3)ex. Find all intervals where f'(x) is positive and all intervals where it is…

A: Please see the below picture for detailed solution.

Q: 1. Determine the differential equation by elliminating the arbitrary constants y = A·e + Bxe*+ Ce*

A: Differentiate given equation 3 times and solve equations to get differential equation

Q: Consider the integral 6 1² (332² (3x² + 4x + 4) dx (a) Find the Riemann sum for this integral using…

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Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of…

A: maximum value=28 minimum value=-4

Q: Simplify completely: -5√45x + 10√125x

A: We have to simplify the given expression.

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: Given :3.hx=4x2+4x+34.fx=-377x-1425.fx=x2+3x

Q: 5. Find the general solution of the DE y" – 4y' — 12y = sin(2t).

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Q: If − xy² + x² − 4 = -y³ and it is known - y²-2x -2xy+3y² 9 points on the curve where y line tangent…

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Q: 1. g(x)= 3tan 3x 2. y=x sin¹2x+cot¹ √x 3. f(x)=sin ¹. ¹ 4. y = (arc csc 2x) 5. G(x) = 5x Cos ¹2x 6.…

A: Let's find derivative.

Q: Find the total area of the shaded regions. (-2,8) 10- 8- ty=2x² 6- 4- 2- (2,8) y=x²-2x² X

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Q: If-y - x² = xy + 3 and it is known that dy dx find all coordinate points on the curve where x = 1…

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Q: A retail outlet for calculators sells 900 calculators per year. It costs ​$2 to store one…

A: NOTE: Refresh your page if you can't see any equations. . here we have  fixed cost F=4 dollars…

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -6, u'(0) = 1,…

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Q: An open box is to be made from a eighteen-inch by eighteen-inch square piece of material by cutting…

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Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

Q: Derivative of 7x^2/3

A: We have given to find derivative of  7x23 Let,  y=7x23 Derivative is given as  dydx=ddx7x23 dydx=7…

Q: No sorry it wasn't meant to be done for each individual one, it's one option for the listed ones…

A: Given, the equation of a helix:rt=bcost i+ bsint j +1-b2 k We need to find the interval of t to find…

Q: Evaluate the following indefinite integral. 8 dt t10 J ← +C

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Q: (day) dxs Differential Equation dy +5. dx (x y")6+ (y)5 - 15y = 3 + 4x 2 dx² = ey [(y)2 + (y')³]² -…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Find the Cofactor Matrix of Matrix B= 3 7 -2 -11 5 8 6 9 -2 4 8 -2 12 20 6

A: We need to find cofactor.

Q: Use the 1st derivative test to find the intervals where the function is increasing or decreasing 3.)…

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Q: X

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Q: olution to the following

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Q: Find the linear approximation to f(x) = - 1 X close to 1 1.002 and then use that to approximate 1…

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Q: 2x^2(y)+3xy^2−2x=−6  at the point (3,0)

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Q: 1. g(x)= 3tan 3x

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Q: c) h(x) = VT 4² + x³

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x² + 75x +…

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Q: X=-2+4cos(t) y=3+4sin(t) a circle with radius 4 with a center (-2, 3). Find the curvature at t=pi/2

A: Given: X=-2+4cos(t), y=3+4sin(t) a circle with radius 4 with a center (-2, 3) To find: curvature at…

Q: 5. Find all x —values where f(x) = x√16 – x² has a horizontal tangent line.

A: Topic- application of derivatives We are given f(x)=x16-x2And we know that,for horizontal tangent…

Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b2}. b₁ -8 [x] = b₂ 4 X= 2 5…

A: NOTE: Refresh your page if you can't see any equations. . write both basis vectors in the matrix A…

Q: Determine the cylinder's absolute max and absolute min given the function f(x, y) = 3x² + 2y² - 4y;…

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Q: ft³ Water is draining from a right circular cone-shaped funnel at a rate of 0.03 The height of the…

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Q: Leveled Practice What is the graph of the equation y = 2x + 4? 0 ). Plot this point. The y-intercept…

A: giveny=2x+4

Q: (1)x 2 0 -1 -6 -5 -3 -2 -1 0 t 1 2 3 4 5 6 Determine the generalized derivative of r(t) and plot it.…

A: Equation of a straight line is y-y1=y2-y1x2-x1(x-x1)when (x1,y1) , (x2,y2) are any two given…

Q: The cartesian coordinates of the point P is: ← A 0 2 1 32 R P (1, 0, 3) AC (1, 2, 3) BC (1, 2, 0) Co

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Q: Solve each quadratic equation to reveal the message below That makes 26x + 25-0 Much we have…

A: Given :(a) That makes :x2+26x+25=0(b) It is :15x2-3x=0(c) Happiness :x2+13x+12=0(d) Not how…

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: Topic = Functions

Q: A patient’s drug costs her $75.00 for 300 tablets. What is her cost per week at 2 tablets per day?

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