5 dx 4

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Q: Write the equation of the plane with normal vector n = (1, 3, 4) passing through the point (3, -1, 1...

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Q: Parametric descriptions Give a parametric description of the form r(u, v) = ⟨x(u, v), y(u, v), z(u, ...

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Q: Find each of the following limits. -3(x + 2) lim x→-2 x2 + 4x + 4 help (limits) -3(x + 2) lim x→-2+ ...

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Q: Show that if u+ v and u - v are orthogonal, then the two vectors must have the same length. What doe...

A: Hence the two vector u and v have same length.

Q: dx sec²x+sinxsec²x

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Q: Find the evolute of the ellipse x2a2+y2b2=1.

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Q: a.) Find the following limit. lim (cos

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Q: thanks

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Q: Find the slope of the tangent line to the curve - 4x? + 2xy + lyš – 71 -

A: Given Point is (-4,1)

Q: Compute the integral ∫x2xdx.

A: Assume u and dv  

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Q: A group of friends agrees to share the cost of a $50,000 yacht equally. Before the purchase is made,...

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Q: Find the derivative of the function. f(x) = ln 3x

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Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not exc...

A: Given the parcel sketch as:

Q: Let T= f(x,y) be the temperature at the point (x, y) on the circle and suppose that on the circle x ...

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Q: Evaluate the integral.

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Q: Use Newton’s Method to approximate the zero(s) of the function. Continue the iterations until two su...

A: We find f'(x) using the power rule f(x)=x5 + x − 1 f'(x)=5x4 + 1 Let us take initial guess x1= 1  

Q: The average value of a function f(x) over the interval [a,b] is given by favg= 1/(b-a) Sba f(x) DX D...

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Q: Identify the horizontal and vertical asymptotes, if any, of the given function. 2x2 + 10x + 12 f(x) ...

A: Given,  

Q: 6. Use the scalar triple product to determine if the points A(1,3, 2), B(3, –1,6), C(5, 2,0), and D(...

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Q: In your own words, describe the guidelines for solving applied minimum and maximum problems.

A: We have to describe the guidelines for solving applied minimum and maximum problems.    

Q: Write an iterated integral for Slp f(x, y) dA, where the region 4. D is bounded by the phs of y= 2, ...

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Q: Founders of a new unnamed company have narrowed the list of names under consideration to 30. Additio...

A: Total number of the names for consideration = 30. The company is considering up to 3 names i.e. the ...

Q: 2. A welder is assigned to make the sheet metal water trough shown below. (4 marks) a. Find Y. b. Fi...

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Q: 55a) Express the vector [5, 6, -4] in terms of i, j, and k

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Q: At a given moment, a plane passes directly above a radar station at an altitude of 7 km. The plane's...

A: (a) Let R be the radar and A be the position of the plane. The OB is the when the plane is directly ...

Q: 1 (j) dx Vx² – 1

A: Let   

Q: use a computer algebra system to evaluate the triple iterated integral.

A: Using a calculator we get:  

Q: The sine integral function   Si (x)    =∫0xSint /t   dtis important in electrical engineering. [The ...

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Q: if x — 4 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x→ –...

A: a)  

Q: 4. Find the acute angle between the curves y = sin r and y = cos r (0 < r <) at their point of inter...

A: We find the point of intersection by setting them equal   

Q: A closed curve line integral in ℝ3 Evaluate ∫C∇(-xy + xz + yz) ⋅ dron the curve C: r(t) = ⟨sin t, co...

A: Consider function Now,  

Q: Find the volumes of the solids A round hole of radius √3 ft is bored through the center of a solid s...

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Q: The efficiency (in percent) of an internal combustion engine is given in attachment, where v1/v2 is ...

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Q: .If a +b+c = 0, show that a x b= b x c = c x a. With one or two sentences, explain why this makes se...

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Q: The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where ...

A: Given The initial size of population is 500. i.e. After one day size of population is 600. i.e.

Q: Owners of a car rental company that charges customers between $45 and $100 per day have determined t...

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Q: (3+lny)* dy y4

A: Simplify the integral part  and then take u-substitution

Q: Line integrals of vector fields in the plane Given the followingvector fields and oriented curves C,...

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Q: Suppose that a company's production for Q units of its product is given by the Cobb-Douglas producti...

A: Given that K = $625 and L = 2401 hours. Then we plug the values in the given equation to find Q  

Q: A projectile is fired with muzzle speed 150 m/s and angle of elevation 45ofrom a position 10 m above...

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Q: 3 ſ dx – S sin²5xdx

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Q: find the centroids of the triangleswhose vertices appear . Assume a, b &gt; 0. (0, 0), (a, 0), (0, a...

A: Given the vertices are (0, 0), (a, 0), (0, a) And a , b &gt;0   

Q: Evaluate the volume of the following solid. 1 z =1- x? 1 y =1- x

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Q: Use the in fo aiven in the chart and the funchion H(X) below to find H(2). Simplif as much as possib...

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Q: Please I need a long and full process of solving this problem.I have a class example too.Use the cor...

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