Evaluate the integral. (y – 2)(2y + 1) dy Jo |

Q: { 2+y? if(x, y) # (0,0) if(x, y) = (0,0) xy 1. Given that f(x,y) Is f(x, y) continuous at (0,0)?…

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Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

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Q: WHAT IS -1- ?

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Q: Find each limit, if it exists. xA + 4 (a) lim x- 00 x4 - 3 (b) lim *+ 4 x- 00 x - 3 (c) x4 + 4 lim

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Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

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A: Given problem:- In a trend that scientists attribute, at least in part, to global warming, a certain…

Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: The objective of the question is determine the probability.

Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

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Q: An open box of maximum volume is to be made from a square piece of material, s- 12 inches on a side,…

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Q: Determine the value of 7A+5B if 19x2 + 43x + 14 Cr + B (x+1)2 A (x – 1)(x +1)? Answer:

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Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

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Q: determine which statement is true

A: Follow the procedure given below.

Q: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

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Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: j(r) = e sech

A: The given function,      jr=esechr2+2r

Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

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Q: III. Find the area of the regions bounded by the curves. Draw a figure showing the region. 8. y =x;…

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Q: Let C be the parametric curve defined by x(t) = t2 – 2, y(t) = t³ – 3t + 1. Determine if C is…

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Q: Select the conic section represented by the equation. 4x 2 + 3 y 2 - 2 = 0 parabola point ellipse…

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: State the condition that the two vectors i and y are perpendicular. Find the value(s) of k such that…

A: If two vectors are perpendicular to each other, then their dot product is equal to zero.

Q: Select the conic section represented by the equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 circle point…

A: We can select the conic section as below.

Q: 1. Find the derivative of the following: (Simplify your final answers.) (a³-8)° (Va²+4) g. g(a) =…

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Q: 2 Compute limx→16; 1-x2 1 X-1

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Q: Using Optimization in Derivatives, solve the following question: A farmer wants to have small garden…

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Q: An iron block weighs 5.2 N and has a volume of 272 cm³. What is the density of the block in kilogra…

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Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (6 - x)/2 (see figure). What length…

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Q: A ball is thrown vertically upward from the top of the house 112 ft high with an initial velocity of…

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Q: A manufacturer needs to make a cylindrical can that will hold 1500cm3 of liquid. Determine the…

A: Let r be the radius and h be the height of the can.

Q: Find the local linear approximation L (x) of the function f(x) = 5 – x² at =2.

A: To find the linear approximation of given function.

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: R(x)=0.005x3+0.02x2+0.4x(a)daily…

Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: The amount of garbe, G produced by a city with population p is given by G = per week, andp is…

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…

Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: ind an equation for a parabola with focus (- 10, 7) and directr

A: We are asked to find the equation of the parabola.

Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: x2 – 3x – 2 if x 4 f(x) = V2x + 1

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Q: What is the exact value of z? – y if (x, y) is the corresponding Cartesian coordinates of the polar…

A: Given that the polar coordinates (r, θ) = (-2, -π/3) We have to find x²-y² where (x, y) is the…

Q: A 16 cm x 10 cm open rectangular box is to be constructed by cutting square corners out of a piece…

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Q: The given matrix is an absorbing stochastic matrix in standard form. Idently R and S and compute the…

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Q: B: .A card is drawn from a well shuffled pack of (iv) a card of diamond (v) a king or a queen

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Q: Find the arc length of the parametric curve. x = 24 cos(t), y = 24 sin(t), z = 7t; 0<t< T L =|25

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Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: Question 1 of 8 - /5 View Policies Current Attempt in Progress Find the arc length of the parametric…

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Q: 4- The number of element in the sample space when you flip 3 coins together a) 2 b) 8 c) 6 d) 12

A: To find the number of elements in the sample space when 3 coins are flipped together.