Use the graph of the function f(x) above to complete the following f(1) is OA. Positive OB. Zero OC. Negative f'(1) is OA. Negative OB. Positive OC. Zero f''(1) is OA. Negative B. Zero OC. Positive

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: Let infinity wall side length = a  another length denoted by = b

Q: г. у = эу! 3 X+l 3 y² = (x+₁).0 - 3 [1] (x+1)² ) - X - 3 (x+1)² + (x-1)0-3[1] (x-1)² (Aus) 3 (x-1)²

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: dixy) Solve the system u x-y, v= 3x+3y for x and y in terms of u and v. Then find the value of the…

A: Given that , u=x-y     ......1 and  v=3x+3y       .......2

Q: U ub 1+8 3 Find Sum $Me [218]

A: Ans= 65/8 For detail.....go through the solution...I gave done solution in detail

Q: 5. An electric car is listed at $60,000 and depreciates by 47% per year. (a) Find its value after 4…

A: Given: An electric car is listed at $60000 and depreciates by 47% per year.

Q: The weekly average costs, in dollars, of the We-Are-Drones is given by C x +53 + where 15 where a…

A: Given average cost function:- C¯=110x+53+x15

Q: Find the area of the region contained inside the unit circle {x² + y² = 1} and outside the rose…

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Q: 8 2 SO SATY 4 Te dxd

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

A: Given, 4. f(x,y) =xy3 - x2, (1,2) , θ = π/3

Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

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Q: So what happened to the 1/2 in front of the ln(x^2)

A: I understand what you are asking .

Q: Find the point of intersection (xo. yo. Zo) of the lines given as: L₁ L₂: Xo = Yo = Zo = i x = 6+t,…

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Q: 23 25+2 Use the Comparison Theorem to determine whether S = dr is convergent or divergent.

A: Given integral:- ∫1∞x3x5+2dx

Q: Y=√x /n(x)

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Q: Donnie's father is planning to open a savings account to pay for Donnie's college education. He has…

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Q: Find the local maximum and minimum values of the function f (x) = -x - 64/x using the Second…

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Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: To evaluate the given integral,Use the substitution u = 1 - 2t  .

Q: 7x If h(x) = (1 + 4)¹x, find lim h(x) X→∞

A: In the question is :h(x)=1+4x7xlimx→∞hx=limx→∞1+4x7x

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x² − 1)³,…

A: f(x) = (x2 - 1)3 Interval = [-1 , 5]

Q: Next Find the volume of the solid bounded by the paraboloids z = −6+3x² + 3y² and z = 7 - 2x² – 2y²

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Q: Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14…

A: As per our guidelines we are supposed to answer only three subparts of a question. So first three…

Q: a(t) = 5i + 8k v(0) = 8j, r(0) = 0

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Q: (8) A manufacturer wants to make an open box of volume V 500 cubic cen- timeters using the least…

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Q: ← The half-life of a certain tranquilizer in the bloodstream is 31 hours. How long will it take for…

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Q: 27. y=-x² + 7x - 17

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

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Q: Fill in the missing values such that the final term is pulled out of the summation. Ex: 5 11 Σ(i +…

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Q: Description suppose f(x) is given: 1- explain steps you take to find out where Min and Max points…

A: (1) To find the minimum and maximum points of a function f(x), we need to find the values of x that…

Q: Set up the definite integral that gives the area of the region. Y₁ = x² + 2x + 3 = 2x + 19 L Y₂= -6…

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Q: 25. The cost c (in €) for the production of two goods as a function of the produced quantity q₁ of…

A: We have to find cost function.

Q: (4) If z = f(x, y), where x=rcos and y = r sin 0, find the following дz дz (b) (c) show that ar dz…

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Q: Let f(x, y, z)= In(x² + y² - z² + 1). Then the level surface f(x, y, z) = 0 is : A circular cone…

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 500 yd…

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Q: 39. y = x² +1 x - 4 [5,6]

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Q: Solve the given system of differential equations by systematic elimination. D²y = e4t Dx + (D+1)x+…

A: The given system is:Dx+D2y=e4t                                .... (1)(D+1)x+(D-1)y=2e4t…

Q: Find sin(), cos), and tan from the given information. tan(x) = √2, 0° < x < 90° 1 sin()-6-2√3 COS 11…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute maximum and minimum values of…

A: Given: f(x)=1-xif 0≤x&lt;64x-24if  6≤x≤9

Q: Write the function whose graph is the graph of y=x², but is shifted down 1 unit.

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Q: The population (in millions) of a country in 2007 and the expected continuous annual rate of change…

A: Given : k= - 0.006 P(7) = 2.3

Q: Consider the following equations. y = x y = 4-x y = 0 Sketch and shade the region bounded by 5

A: Given: y=xy=4-xy=0

Q: (10) Show that the following limits do not exist. (0,0) (b) lim y³ +2³ (p) (0,0) ry²

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Q: For the limit lim, (x3 - 3x + 2) = 20 3 illustrate the definition by finding the largest possible…

A: We have to find the largest possible values of δ.

Q: The region enclosed by the the curves y = e-2, y = x+1, and x = 1 is rotated about the z-axis. Find…

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Q: Find the point on the line y=x that is closest to the point (-8, -4). [Hint: Express the distance d…

A: The given line is: y=x Find the point on the line that is closest to the point -8,-4

Q: Find an equation of the plane through (– 5, 2, — 6) that is perpendicular to the planes 4x − y + z =…

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Q: Find the directional derivative of f at the point P in the direction of a. a=i-j f(x, y) = 6x³ —…

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Q: Find the area of the shaded region.

A: given

Q: The figure shows graphs off. f", and f". Identify each curve.

A: let's say N is the number of turning points of the function f turning points function N f(x)…

Q: Suppose that in the interval 15 ≤ x ≤ 20 you know that the graph of y = f(x) rises as you move from…

A: The given data is: y=f(x), 15≤x≤20 The graph of y=f(x) is concave down.