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Q: Rewrite the equation of the line 2x+3y=6 from standard form to slope-intercept form

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Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: Find the linearization L(x,y,z) of the function f(x,y,z) at the given points. f(x,y,z)= ex+cos (y+z)…

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Q: Exercise 1. Let an 2n 3n+ 1 (a) Determine whether (an) is convergent. (b) Determine whether an is…

A: Part (a) A sequence an is said to be convergent if limn→∞an exists and is finite. Determine limn→∞an…

Q: Find the distance the Point PC9₁-6, 37 is to lline through the two Points. 1Q (5-=-= 3,01 and R…

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Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola y =…

A: Topic = Volume

Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

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Q: Find the transform of the given function by use of a table. f(t) = 5e-St_2e-2t A There is no correct…

A: By the options given it is the Laplace transform that you are asking. But next time please do…

Q: Find the solution to the boundary value problem: d²y dt² dy 2- + 5y = 0, y(0) = 1, y(π, dt

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Q: A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a…

A: Topic = Volume

Q: Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following…

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Given query is to find the interval where speeding up.

Q: g(x) = 2 x²_4 3x²+x-4

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Q: 5 Given sine. and 13 5 0 ₁ + (-1/3) ² - O 5 13 12 13 12 5 ◎[-] 1+ 13 13 12 13 cose= 5 °(9)²+(3)³²-…

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Q: c. ( - 1 - 2 - 2 ) : ( - 1 - ₁ ) × (1 - 1) = C. 5 3 16 2

A: Concept: A situation is represented using mathematical symbols, variables, and arithmetic operations…

Q: Express the following as a single logarithm. In(13+x³) + ln x - ln (cosx) = |

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

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Q: Determine the area of the region bounded by two the curves f(x) = x² - 16x + 14 and g(x) = 8x + 7.

A: Topic = Area

Q: Set up, but do not evaluate, an Integral for the length of the curve. osys 21/12 O O x = 8 sin(y),…

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Q: Find the absolute maximum and minimum of ƒ(x, y) = 4x + y within the domain x² + y² ≤ 1. Please show…

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Q: O Add and simplify. Ei (-8p'+4p5-8p+9)+(-6p² + 8p³ + p²) Check Answer X Ⓒ2022 Mc

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Q: Find the area of the shaded region: 6 y=x²-15 x 64 -128 128 2 20 10 -10 -20- 2 4 y=x 6 X 0

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Q: Let F(t) = (4t+2, - 4e*, 2e-4). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) - +t

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Q: Find fx and fy, and evaluate each at the given point. arctan(ỵ), (2,-2) f(x, y) fx(x, y) = fy(x, y)…

A: Given:        fx,y=arctanyx , 2,-2     fxx,y=∂∂xarctanyx                   =1yx2+1∂∂xyx taking y as…

Q: A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = t4 - 18t² –…

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Q: A tank contains 70 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: You are stationary on the ground and are watching a bird fly by horizontally at a rate of 10 m/sec.…

A: Here we have to use the concept of derivatives

Q: The graph of y = g(x), shown below, consists of straight lines and a semicircle. Using known area…

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Q: C b 50° 28

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Q: To calculate the integral 3 /VR²³116 dr dx x² + 16 we want to make the trigonometric substitution

A: To solve the given integral.

Q: f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

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Q: 3. The slope of a curve at the point (x, y) is given by 3x²y + 2y. Find the equation of this curve…

A: To find the equation of the curve with given slope

Q: Particle Motion from Equation (Level 2) Oct 23, 8:53:22 PM A particle moves along the x-axis so that…

A: we will find the required.

Q: Find the exact length of the curve. y = (1 + x²)3/2, O 18 3 22 3 20 3 10 3 0≤x≤2

A: The given curve is  y=23(1+x2)3/2,       0≤x≤2

Q: questions:the solution sets is a)f(x)0 d)f(x) ≥0

A: We can find solution sets.

Q: S Using the integration by parts method, 10x ex dx =

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Q: For the right triangle below, find the measure of the angle. Round your answer to 1 decimal place.…

A: Given data÷ The opposite side and adjacent side of the angle are Opposite side(OS)=10 Adjacent…

Q: Please

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Q: Which equation represents a tangent function with a domain of all Real numbers such that x = π +…

A: We have to choose the correct option from the given options according to the given information

Q: 2x² + 4 over the interval [-2, 1]. Enter an exact answer. If there is more than one value of x in…

A:

Q: 2 32 32 0-22 3 y=5x-x2 y = x 1 2 3 4 (4,4) G

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Q: A rational fraction of the form Select one: True False f(x) is called a proper fraction if degree of…

A: Solution is given below.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 7 r…

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Q: Optimal Chapter-Flight Fare  If exactly 196 people sign up for a charter flight, Leisure World…

A: need to find out the maximum revenue and fare per passenger.

Q: Plot the solution using matlab a) Method of Undetermined Coefficients: The differential equation…

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Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. ¹(4)- T = r(t) =…

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Q: Evaluate the function at the points (-8, 0), (6, -6), and (0,24). k(x, y) = xe-3 (Express numbers in…

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Q: A particle moves along the x-axis so that at time t> 0 its velocity is given by v(t) = 18t² — 36t.…

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Q: Find a unit normal vector for the following function at the point P(1,−3,1): f(x,y)=x3 (Please show…

A: See the answer below