(3) Find the length of y = x² c on [0, 1] (ok to use Wolframalpha)

Q: lim (3a + x) x-3

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Q: Given the difference quotient, the equation of the function is y=5x^3 True False 5(-2+ h)³ + 40 h

A: NOTE: Refresh your page if you can't see any equations. . take x=-2 . take x=-2+h

Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 8x√/16…

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Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: ²

A: Given that

Q: follow. Rudgene Claire, the President of Women's Association of their barangay, proposed a project:…

A: Given that perimeter of a vegetable garden is 40 meters.

Q: Evaluate the integral. (Give your answer using component form or standard basis vectors. Express…

A: Given

Q: -5+ Use the graph of f(x) above to estimate the value of f'(-3) to one decimal plac f'(-3) =

A: Use Definition of limits to calculate f'(-3)

Q: dr = (1 — r2)tan(0) ӨР

A: Ode

Q: 5.) an = (−1)n 3n³+n-8 5n4+6

A: Determine if given sequence is convergent or not.

Q: Differentiate the function. A(s) = -- A'(s) = 44 5 X

A: Given: The given function As=-11s4 To find the derivative of the function. Derivative formula:…

Q: If f(x) = ax -3x+1 and f(2)=7, find

A: We can find the value of 'a' .

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: Determine the work done by the constant force. The locomotive of a freight train pulls its cars with…

A: We have to determine the work done by constant force.

Q: Consider the following system of linear equations. 13x − 17y = 10 kx + 11y = −29 State all values of…

A:

Q: 2. On your own, make a diagram that shows the relationship of the number system which are as…

A: A natural number is a counting number. It starts from 1 onwards. They are located at the right side…

Q: Find an equation of the plane. The plane through the points  (3, −1, 2), (7, 3, 5), and (−2, −2, −3

A: Find an equation of the plane. The plane through the points  (3, −1, 2), (7, 3, 5), and (−2, −2, −3)

Q: Graph the given ellipse (x-4) ²₁ (4+ 5)² = 1 2 2 10 7

A: The equation of ellipse is given as , x-4210+y+527=1     ....1 Sketch the graph.

Q: Find the difference quotient f(x+h)-f(x) h Find f'(2) (This slope should match the tangent line you…

A: Given that…

Q: 5-10 Sketch the graph of an example of a function that satistics all of the given conditions. 5. (2)…

A: Given that f2=4,f-2=-4 Therefore first mark the points (2,4) and (-2,-4) on the graph.

Q: Dashboard Prove the following limit. SOLUTION lim (2x5)= 7 x 6 But |(2x - 5) 71 = |2x - 12| = 2 1.…

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Q: g(y) = -1.9% DNE y²+5 if y<-2 (1-3y if y≥-2√ (a) lim g (y) 1-3y if y≥2-2, y-6 -17 (b) lim_g(y) lim g…

A:

Q: In Exercises 1-16, find the maximum and minimum values of th given function and the points at which…

A: Question 1: Given, fx,y=x2+y20≤x≤2,0≤y≤2 Note: On differentiating partially with respect to one…

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

A: We have to evaluate  log7 a2b497.

Q: Find the area of triangle ABC if <B= 45°, a = 6, and c= 2

A:

Q: Find the location at t = 3 of a particle whose path satisfies 7 - ( 18 - ( + 1)2². (t dr dt ,2t r(3)…

A:

Q: EXAMPLE 9 Sketching the graph of an exponential function Determine where the function f(x) = 1 √2π…

A: Given function : f(x)=12πe-x22

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

Q: x³ + k kx - 23 if x ≤ 3 if x > 3 Determine the value of k that will make f(x) continuous everywhere.…

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Q: Use the Newton-Raphson method to find the single real root (n=5) of the function: f(x) = ln(x) -2…

A: Let find root by using Newtown Raphson method.

Q: an = πη2 sin(- 4n²+7

A: Given: The given sequence an=sinπn24n2+7 To find the limit of the sequence.

Q: dx | dy 1 ye√x = 0

A: To find out the solution of the differential equation.

Q: Form a polynomial whose real zeros and degree are given. Zeros: 2,1,3,5; degree: 4 Type a polynomial…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) t²-t-20 lim t-5 t-5 X

A:

Q: Graph the function f(x) = are -2, 0, and 1. Clear All Draw: 104 9 8 6 + -10 -H # -H -14 - 4x² and…

A: Let's solve for tangent line slope and draw a tangent line.

Q: 9 (y) -1.0% DNE [y²+5 ify<-2 1-3y if y2-2V lim g (y) lim 9 (y) (a) lim g (y) 1-3y if y2-2. 17 (b)…

A:

Q: The acceleration of a vehicle can be expressed as: du = 36 - 0.064 If the vehicle speed, u, is 45…

A: Here is the solution

Q: 2 xy² = x + cx³

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) 80°F -3 (a) lim f(x)…

A: Solution is given below:

Q: Consider the line L(t)=⟨4−t,−4−2t,−5−3t⟩L(t)=⟨4−t,−4−2t,−5−3t⟩. Then:     L is           to the…

A:

Q: The graph of the function is given in the attachment . Please find the domain and range

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Q: (e) xy' + y = 4x+1, y(1) = 8

A:

Q: Find the area of triangle ABC if <A= 60°, b= 3, and c= 8.

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Topic = Volume

Q: Consider the function f(x) = x2 + 5x x³-25x Determine the number of discontinuities of f(x). x…

A:

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A: Given that temprature is 70 degree at midnight and high and low temperature during the day are 84…

Q: y + 3y = 2xe-3x y-2xy = et²

A:

Q: Sketch a graph of the function f(x) = 5 cos 6543 2 1 -8 -7n -6 -5n -4 -3 -21 -ī -1 -2 -3 -4 -5 -6+…

A: The given function is f(x)=5cos14x

Q: - Draw the graph of the transformed function y = - f(x - 2) Note: You must draw the entire graph…

A:

Q: 49. Find an equation of the line tangent to the graph of y = √x/(x + 1) at (a) x = 1; (b) x = 1.

A: We need to find equation of tangent.