4. A variable force of 4√ newtons moves a particle along a straight path when it is a meters from the origin. Calculate the work done in moving the particle from z = 4 to z = 16.

Q: For the sequence defined by: a₁ = 2 an+1 Find: a2 = a3 = a4 = 2 An - 3

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A: A bungee jumper dives from a tower at time t=0. Her height s in feet  at time t in seconds is given…

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A: We need to find out the given limit.

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A: NOTE: Refresh your page if you can't see any equations. . the slope of the tangent line already…

Q: 4. Find the locations (x, y) AND function values f(x, y) for all relative extrema and saddle points…

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Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: Let f(x) = 2e-3x², in its domain a) f has a local minimum. b) f is a bounded function. c) f is a…

A: f(x)=2e-3x2, in its domain.

Q: What do we use the chain rule for?

A: Here is the solution:

Q: Find an equation for the line that passes through the points (-1,0) and (9, 30).

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Q: dz dz dx Consider the equation 4 sin (x+y)+5 sin (x+z) + 3 sin (y+z) = 0. Find the values of and at…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 3 35 SiÁ¹ √x dx

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Q: Sy-10 y²-4y+11 2. S dy

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Q: Find r(t) if r'(t) = t9i + 4t3 j-t5k and r(0) = j

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Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: 18. y = 6 x², y = 2; about the x-axis

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

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A: oxygen concentration in a patient's blood: Continuous heart rate on the scale of seconds:…

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A: Given function is f(x)=x+3 from x=-1 to x=5 using a Riemann sum with n=10 subintervals and…

Q: Find the scalar and vector projections of b onto a. a = (1, 3), b = (-7, 1) comp b proj₂b =

A: NOTE: Refresh your page if you can't see any equations. . find the magnitude of the vector a

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A: The objective is to solve the above question.

Q: - x x 4+ √x-2 (b) lim

A: Please see the below answer.

Q: a. For linear functions, the slope of any secant line always equals the slope of any tangent line.…

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Q: Use the formula for K to find the curvature of y = In (sin x), 0<x<* Show that the curvature is zero…

A: Given function:- y=lnsinx ,0&lt;x&lt;π

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Q: Given the matrix 680 A = a 9 7 51 -1 3 " find all values of a that make the |A| = 0. Enter the…

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 24n

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Q: -2 3

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Q: find the the derivative of f(x) = (3/4x)^6

A: Topic - Derivative of a function We are given  f(x) = 34x6 we know thatddxxn=nxn-1

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A: f(x)=x2x+1  on 1,4formula for average value  is favg=1b-a∫abf(x)dx∫exdx=ex

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

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A: Mean Value Theorem for Integrals. Let f be a continuous function on [a, b]. Then there exists a…

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Q: x² - 4x +6 4 X Find y' if y=- y'=0

A: Given query is to find derivative.

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A: Given query is to solve the differential equation.

Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

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Q: (II) a) Consider function h(x) = x². Complete the table for this function. Show explicitly how to…

A: according to bartleby guide line we do only first part of multiple (ii) h(x)=x2

Q: Draw out using base-ten blocks to compute the following. a) 46 +38 b) 115-69

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Q: Solve (cosa + ln y)dx + Y +edy = 0

A: To solve the following differential equation.  cos x+ln y dx+xy+ey dy=0

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Q: Use integration by partial fraction to solve 3+4 (z + 3)² dr.

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Q: Let f(x) = g(x). 5* h(x) + 7x Find f'(1) if we know that g(1) = π, g'(1) = -2, h(1) = = e, and h'(1)…

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Q: Use one-sided limits to determine whether the following limit exists and its value. If the limit…

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Q: Find the parametric equation of the line segment from A(1,2,3) to B(5.0, 1), where for t = 0 you are…

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