Find the curvature K of the plane curve at the given value of the parameter. r(t) = 6ti – 8tj, t = 1 K =

Q: Find the verticies and foci, and sketch the graph: x2- 4y2 = 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 4. S tan x dx CSC X sec (In x) dx 5. dx 6. S; 1- cos 2x

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Solve the following

Q: 1,470,000 - $500,000 +$X <$6,150,000.

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Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table.…

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Q: 3. -1 1 2 3 4 5 6 7 +1

A: To approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint…

Q: If f(x) = kx², determine the value of k that makes f(x) a probability density function on 0sxs4. The…

A: Given: f(x) = kx2

Q: Equation is x^2+y^2 = 13, point (2,-3). Find the equation of the tangent OR normal at that point.

A: Given query is to find the equation of the tangent.

Q: 144-inch length of pipe is to be cut into 3 pieces. The second ece is twice as long as the first…

A: Topic:- geometry

Q: 5. If the population P of bacteria (in units of 1000) is declining because of a toxin, its rate of…

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Q: | f(x)dr = f(5)- f(- 3). Is this always true, sometimes true, or never true? 3 O sometimes true…

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Q: d the equation for the line that is parallel to the line with the equation -x + 2y = -9 passing…

A: Two parallel lines have the same slope.

Q: Use the Taylor polynomial of degree four for the function f(x) = Vx + 4 at x = 0 1 P4(x) = 2 + 7x- 1…

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Q: find the total derivative of z = f(x,y) = 2x+xy-y2 where x=g(y)=3y2

A: Given function: z=2x+xy-y2 where x=3y2 Putting the value of x in z , we get…

Q: 74. Aerobic Exercise A woman keeps fit by bicycling and running every day. On Monday she spends h at…

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Q: 4 | (5a' + 4x")dr Find 3

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Q: Eualuate in tegral Só Vincy dx

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Q: Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3 =3/1+x. P4(x) =|

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Q: Question Find the absolute maximum and absolute minimum of the function f(x) = = - 2r² + 4 over the…

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Q: y as a one-to-one function of x.

A: The given graph is:

Q: Solve the equation. Write the solution set with the exact solutions. log10 (7-m) + log10(-m-2) =1 If…

A: logb(m)+logb(n) = logb(mn) logby =x is equivalent to bx =y.

Q: Use part I of the Fundamental Theorem of Calculus to find the deriyative of 12 १৩) | ( ) = dt f'(x)…

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Q: ACTIVITY 2: Find the derivative and simplify the result, if possible y = x2 + n² +x" y = x2 sec x y…

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Q: Find a value of k that will make fa probability density function on the indicated interval. f(x) =…

A: See the answer below

Q: 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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Q: diverges: 3n/22n-4=27/4+81/16+243/64+729/156

A: Given query is to find series converges or diverges.

Q: - 5x Use the Taylor polynomial of degree four for the function f(x) = e at x = 0 25 125 625 P4(x) =…

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Q: Determine whether f(t) is continuous, piecewise continuous, or neither on [0,10], and sketch the…

A: Here we have to determine whether f(t) is continuous, piecewise continuous or neither on [0,10].

Q: A goal is to get at least 15% of daily calories from poly saturated fats found in various nuts or…

A: 1 gram fat = 10 calories 21 gram fat = 21*10 = 210 calories

Q: Evaluate the line integral Ĥ. dř where Ĥ = e" î + [xe" + In(2)] ĵ + º Â and the curve C is defined…

A: Given problem:-

Q: The linear approximation at r = 0 to sin(2x) is A+ Bx where A is: and where B is:

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Q: If f (x) = Vx + 7 and g(x) find f(x) g(x). %3D Keypa Answer Keyboard Shorte f(x) · g(x) =

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Q: The angle of elongation between Venus and the Sun is 26". Given that Venus is 67.2 million miles…

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Q: A non-linear function is given by f(2) = a*-1 Where a is a constant. b) Define the perturbation…

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Q: Find the indefinite integral. 4 +2x-1 da In++c 0+1 O In\# + 1| – 3 ln|| – !+C none of these 0!+In\a*…

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

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Q: What is the value of e*dx? Select one: O a. 1 O b. 2 O c. The integral diverges. O d. e 8

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Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: Question Evaluate the following limit using L'Hospital's rule. 72 6x lim -4 Lx? – 5x + 4 Provide an…

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Q: Write an equation for the parabola with a vertex at the origin and directrix y = - 24 An equation…

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Q: Find and classify the critical points of the function f(x, y) = x² + 2xy+ 3y + 2x +y . %3D O (-2,1)…

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: Consider the following lines: 4:z=1,y-1=-4,2=1-3t :z=2s+1,y=1-3s,z=1 y+1 z-1 2a Find the…

A: Explanation of the answer is as follows

Q: 3/2 Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3(1 - x)2. P4(x) =

A: Solved below

Q: Find the flux of the vector field F(x, y, z) = (yz, y°, xz) %3D across the surface S, where S is the…

A: Given

Q: [sinh(x)(x² + 7*)] dx

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Q: At a dinner party hosted by The University: • 13 guests had steak and chicken • 29 guests had steak…

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Q: If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0<xs4.

A: Given,           fx=kx2To find : Determine tha value of k that makes fx a probability density…

Q: X tu 3. From questions #2-11, choose an "interesting" relation and i) Sketch the relation clearly…

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Q: 10. Find f'(x) if f(x) = x² + 2x – 5. А. 2х В. 2х + 2 С. 2х +3 D. 2x – 5 11. What is the slope of…

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