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Q: The function given by f(x) = x³+4x² + 1 defined on the interval [-3, 2] has absolute maximum of

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Q: (9) BOUNS The value(s) of x at which the function f(x) = e²x - 18x has a horizontal tangent line (A)…

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Q: a. Zen Furniture received the sofa set that was bought at a wholesale price of PhP 13,000. The…

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

Q: Change the order of integration and evaluate [[₁²√I+ Y x√1 + x²³ dxdy.

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Q: (b) d'y dx² dy_9y=2x+4 dx d'y dx² dx -+10y=x² +2 dy

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Q: Find the particular solution of the differential equation y′–xey=2ey, given the initial condition,…

A: We can solve the given differential equation by using the variable separable method.

Q: Examine 2x² - 4xy+3y² - 8x+8y-1=0 for maximum and minimum points. Max. at (-3,-1): Min. at (3, 5)…

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Q: Example- Minimize (X₁, X₂) ==—=— (X₁ + ¹) + X₂ } 1) subject to 9₁ (X₁, X₂) = -X₁ +¹ ≤o 3₂ (X₁, X₁) =…

A: Solution is given below:

Q: Σ n=1 a \n+2 1 n + 4

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Q: Find the equation of the sphere centered at (4, 9,-5) with radius 4. Normalize your equations so…

A: Given :Centered : 4, 9, -5Radius= 4

Q: 1. a) Write a short note on the meaning of the derivative or differentiation. What is the…

A: a) Differentiation: Differentiation is the process of finding the derivative of a function. It can…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: et f(x) be a function f : [0, 1] → [0, 1], f(x) = −4x(x - 1). Let g(x): (-∞0, ∞o) → [0, 1] be a…

A: Please see the below answer.

Q: Find the arclength of the curve r(t) = (3√/2t, e³, e-³), 0≤t≤1

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Q: Question 7 If f (x) = COS O O V2 2 O T √2 2 0/1/20 0-1/1/2 0-√3 O 2 X, then f'() =

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Q: Find the distance between the parallel planes - 2x+y+z= 0 and 6x3y3z - 19 = 0. NOTE: Enter the exact…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let à = (-4,-5, 4) and 6 = (2, 4, 0). a Find a x b. хъ.

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Q: Find the Trig Value - Simplest Radical Form A student is given an angle in standard position on a…

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Q: Q8. change from x = -1 to x = 5 (14) (5-را-) Given the graph of the function f below, determine the…

A: Question-     Given the graph of the function f below, determine the average rate of change from x=…

Q: Let f be the function given by f(x)=√x4 - 9x² Find f'(x).

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Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…

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Q: f (x + y) dA, where D is the top half of the unit disk with the center at the origin.

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Q: 5) Find the following limits: E) lim ¹ x-0-3x D) lim y-0 sin(3y)cot (5y) y cot (4y) 7x3 X-00…

A: we find the limits .

Q: 7. Sedx €+2

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Q: Find a pair of values of a on which line tangent to x² - xy + y² = 3 is vertical. O a. -1 and -2 O…

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Q: dy dx = y-x y+x

A: To solve the following differential equation.dydx=y-xy+x

Q: 2) Find the range: A)y=1-2x-r² Bly= C)y=1-(0.1")

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Q: Q3: Make use of Laplace transform to solve the following differential equation that satisfy the…

A: By making use of Laplace transform to solve the following differential equation that satisfy the…

Q: Use limits involving to to describe the asymptotic behavior of the function from its graph. (If the…

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Q: Find the area of the region that lies inside the circle r = 1 and outside the cardioid r = 1 − cos θ…

A: Consider the given figure :

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: At a certain factory, the marginal cost is 2(2q - 3)² dollars per unit when the level of production…

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Q: Let a . Find al. -

A: Let a→=1, -5, 4. To find a→.

Q: Consider the following vectors a = 5i-2) + k b = 2j-k i) ii) iii) iv) v) Find 2b - á. c = −î + 3ĵ…

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Q: The population of a town is f(x) = 3x - 11x + 240 people after x weeks (for 0 ≤ x ≤ 20). (a) Find…

A: A detailed solution is given below.

Q: Solve the initial-value problem. E dr dt [Hint: let R = e* and solve R in the corresponding ODE by…

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Q: 3 a)Find the area of the parallelogram with vertices: P(0,0,0), Q(4,-3,-1), R(4,-2,-2), S(8,-5,-3).…

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Q: Can we apply L'Hôpital's Rule for: lim O a. Yes O b. TBH, I don't know. O c. No O d. Maybe. x -?…

A: let  I=limx→0(x4e4x)we know  e0=1

Q: 2. A thermometer reading 70°F is placed in an oven preheated to a constant temperature. Through a…

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Q: 3. Suppose that a company manufacturing transistor radios, the cost, revenue, and the profit…

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Q: 2. A city block is in the form of a parallelogram whose shorter diagonal AB is perpendicular t side…

A: Topic - Similar triangles and area of parallelogram

Q: Find an equation of the plane that passes through the points (3, 1, 1), (3,2,-3), and (-4, 4, 1).…

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Q: Find the unit tangent vector at the indicated point of the vector function T(A/2) = ( r(t) = et…

A: Given vector r( t ) = e6tcost i + e6tsint j + e6t  k

Q: lim b→∞ 2x 22 x² + 1 -b dx.

A: To solve the following problem of integral and then find the limit

Q: For the function, find the following. f(x) = 7√x5 (a) f'(x) (b) F"(x) (c) F"(x) (d) (4) (x)

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Q: A nuclear submarine approaches the surface of the ocean at 22.2 km/h and at an angle of 16.7° with…

A: Given velocity( v ) = 22.2 kmhlet angle( θ ) = 16.7°

Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(a + b) f(2h +…

A: f(x)=5x^3+2x^2-x+10

Q: Use the 2 solutions Bernoulli's equation y' + y x -√y=0

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Q: If vectors u and are parallel, which of the following are TRUE? O and must always be drawn on the…

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Q: Find the volume of the solid bounded by the planes given below: x = 0, y = 0, z = 0 and 6x + 3y + 2z…

A: Given that x=0,y=0,z=0 and 6x+3y+2z=6