K Find the linearization L(x) of f(x) at x = a. 2 f(x)=√x² +11, a=-5 1 L(x) =

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: 3. Determine the curvature and radius of curvature of y = 6x-x³ at (1,5). a. 0.18973; 5.2704 b.…

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

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Q: Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square…

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Q: y(x) =

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Q: 5) Evaluate the sum 101 1 143) (i+1 i +3,

A: as per company guidelines we can solve only first question when multiplie question being posted

Q: y' = = x/n(x)

A: We can find the derivative of the given function by using logarithmic differentiation.

Q: Find an equation of the plane consisting of all points that are equidistant from A(5, -3, 2) and…

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Q: The figure is the graph of the derivative, f', of a function f on [-2,4]. Determine the intervals on…

A: The figure is the graph of the derivative, f' on -2, 4. To Find:  To determine the intervals where…

Q: Let F(1) = ƒ(ƒ(1)) and G(1) = (F(1))². You also know that ƒ(9) = 7, ƒ(7) = 3, f'(7) = 9, f'(9) = 9…

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Q: Sketch the graph described by the following spherical coordinates in three-dimensional space. p=7

A: We need to sketch the graph described by the equation ρ=7

Q: Investigate the one-parameter family of func f(x) = x - ax¹/2 (a) What is the domain of f(x)?…

A: Given : Domain : find non negative value of radical Answer :

Q: For positive constants A and B, the force between two atoms in a molecule is given f(r) = 1 + 2/3,…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find the velocity and position vectors of a particle with acceleration a(t) = 10k, and initial…

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Q: A patient's temperature change, T, due to a dose, D, of a drug is given by the following equation…

A: given  T=(C2-D3)D2d dx(xn)=nxn-1

Q: A dense particle with mass 6 kg follows the path r(t) = (sin(3t), cos(9t), 2t9/2) with units in…

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Q: At noon, ship A is 120 km west of ship B. Ship A is sailing east at 20 km/h and ship B is sailing…

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Q: Obtain the general solution of the following differential equations 6. xdy - ydx - √√x² - y² dx = 0…

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Q: 19. What is the general-term equation, an, for the arithmetic sequence below and what is the 27th…

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Q: sketch the graph of y = x^3 / (x^2 - 4), keep in mind the information provided: 1. x and y…

A: The solution is shown below-

Q: Topic: Differential Equations A tank contains 80 gallons of brine with 5kg of salt. Another brine…

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Q: Find the first and second derivatives of the function. g(x) = -5x³ + 10x² + 4x − 64 g'(x) g"(x) =

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Q: Estimating the Amount of Paint Required A coat of paint of thickness 0.08 cm is to be applied…

A: The given data is: The volume of a cube edge s is V=s3 s=26 cmds=0.08 cm

Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

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Q: Find the absolute maximum and absolute minimum values of f on each interval. (If an answer does not…

A: Absolute maximum of a function f is the highest value of f. Absolute minimum of a function f is the…

Q: find the following for the given function x4- 8x3 - 32x2 A. the derivative and its sign chart B.…

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Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: In the figure, a small block of mass m = 0.044 kg can slide along the frictionless loop-the-loop,…

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Q: Find an equation of the plane that passes through the line of intersection of the planes 4y = 15 and…

A: Given: x-4y=155y+z=3Perpendicular to the plane x+y+2z=11

Q: 2) Find the solution of the system, by hand, without using a matrix, or show that it is…

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Q: (b)) Find an equation and then identify the surface that consists of all points P such that the…

A: The solution is shown below- As per company guidelines only one question is allowed to answer at…

Q: 2 dx evaluate the improper integral

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Q: 1 Evaluate the ・20 @ following Integrals do B I 0 (3+2600)

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: Find the time needed in years to make $ 50,000 from $ 30,000 if the simple interest rate available…

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Q: In the third to last line why are is 2cos phil multiplied by 1/2

A: We need to explain the reason behind doing the below step:

Q: The graph off and a tangent line to the graph of f are shown below. Use the graph to answer the…

A: f’(2) = slop of tangent line at x=2 f’(x) = m = (y2 - y1)/(x2 - x1)

Q: Choose each of the following parameterized lines that represent the same line as 7 = (3 − 3t) ▼ +…

A: The objective of the question is choosing the correct options.

Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Find the volume of the solid formed by rotating the region enclosed by about the x-axis. V x=0, x=…

A: Given that : x= 0 ; x =1 ; y=0 ; y= 5+x7. Find volume of solid formed by rotating the region…

Q: For any constant a, let g(x) = ax - 2xln(x) for x > 0. (a) What is the x-intercept g(x)? X = (b)…

A: I have done next three part which you have done wrong......i .e....(d),(e),(f)... In the answer you…

Q: Find the derivative of the function. g'(t) = g(t) = (5t + 2)² (2t² - 8)-³

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Q: The domain of the function h graphed below is all real numbers, and all of its extreme values occur…

A: Here three points (1,2) , (0,-2) and (-2,-1) where we can draw three tangents to the graph which are…

Q: Where is the final answer?

A: Given: f'(x)=8x3+16x+6f(1)=-3   We are required to find: f(x)

Q: f(x)= 6(x+2)²(x-1)(x+3) 2(x+1)(x-2)(x+3)

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Q: Find an equation for the plane through the point (6,7,5) and perpendicular to the line X=1-8t,…

A: Given equation of line:- x=1-8t,y=1+7t,z=4t+2

Q: f(x) = 2x - 3x3/2 use graphing calcultor and find minimum point O (0, 0) O (1, -1) O (-1, 1) O none…

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Q: Find the slope of the tangent line to the curve −3x² + 4xy − 3y³ = - = at the point (2, 3). - Submit…

A: Given equation  -3x2 + 4xy - 3y3 = -69

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

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Q: Determine the following indefinite integrals using the given substitution a. [x cos(32²) dx, u = 3x²…

A: We need to find the given integration (a) ∫ xcos3x2dx