y- x3

Q: Solve for the approximate solutions in the interval [0, 27). List your answers separated by a comma,...

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Q: Definite Integral Problem

A: Given: ∫212y3-6y2y2dy

Q: Find all points at which the direction of fastest change of the function  f(x, y) = x2 + y2 − 4x − 6...

A: Given function is      f(x,y) = x2+y2 -4x -6y Here we have to find all the points at which the direc...

Q: An airplane is heading north at an airspeed of 650 km/hr, but there is a wind blowing from the south...

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Q: u(x) x" and f(x) %3D Let u(x) = sin(x) and v(x) %3D %3D (z)a

A: Let u=sinxv=x10 and fx=uxvx

Q: The series expression for 1 1.4. 1.4.7 1:4.7.10 2 8 32 128 (n+ 1)! Σ n=2 (n- 2)! (–1)^+1(1 -4·7- (3n...

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Q: Grain pouring from a chute at the rate of 12 cubic feet per minute forms a conical pile whose height...

A: The volume of a cone is,                                 Volume(V)=13πr2h                    

Q: y=DJx, the X-axis and the X=4 is revolved about the indicated line. the line y=

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Q: Suppose that 2 1 1 A = 1 2 -1 -3 5 1 1 3 -3. Which of the following operations are defined: (i) CB" ...

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Q: I need help with this following problem, any help is appreciated thanks!

A: Directional derivative calculation

Q: Rewrite as a whole number (without using a calculator): 70

A: To rewrite 70 as a whole number. Solution: Definition of whole number: Whole number is positive inte...

Q: How would I go about solving this particular problem?

A: To find the maximum

Q: Find the limit, if it exists, or show that the limit does not exist. a) lim (x,y)→(0,0) 3x2+2y2/ x+1...

A: (a)-lim(x,y)→(0,0)(3x2+2y2x+1)Put the value (x,y)=(0,0)lim(x,y)→(0,0)(3x2+2y2x+1)=302+2020+1=0 li...

Q: How to solve this question?

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Q: Find the lengths of the following curves: c. x = t3 and y = 2t2/2, 0st< v3

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Q: Find the antiderivatives of the functions: 1 f(x) = x* – 2x² + sin x a. Зx3+Vx+1 b. h(x) =

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Q: b- How many zeros does 4000! end in? Justify your answer, show your work

A: It is required to find the number of zeros at the end of 4000!. To calculate the number of zeroes in...

Q: The derivative dy for the function %3D (1i) y= cot リーCof V-x

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Q: Find (tanx)

A: Given: ddx(tanx)

Q: 8-9 part (b) evaluate the integrals

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Q: Prove Identity

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Q: Use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places...

A: x2=x+3cos2x On simplification, we get ⇒x2-x-3cos2x=0 Now the graph of y=x2-x-3cos2x is,

Q: Compute the first-order partial derivatives w = x/(y + z)

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Q: help

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Q: – 15 de Evaluate the integral: æ²/æ² + 25

A: Given,          ∫-15x2x2+25dx

Q: 6. Verify Mean Value Theorem for the function f(x) = 3x² -4x +5 in [-1,1].

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Q: Find the slope of the tangent line for the curve r = 8 – 6 cos 0 when 0 4

A: The slope of the tangent can be found using the formula, m(θ)=drdθsin(θ)+rcos(θ)drdθcos(θ)-rsin(θ). ...

Q: can you solve this question

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Q: 1. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does...

A: We solve function limit.

Q: For the function defined as follows, find the Taylor polynomials of degree 4 at 0.

A: p4(x)=f(0)+f1(0)1!x+f2(0)2!x2+f3(0)3!x3+f4(0)4!x4   ....................(1) This is the taylors poly...

Q: Write the following numbers in the polar form re^iθ 0≤θ&lt;2π0≤θ&lt;2π:(a) 1/6r=   , θ=   ,(b) 3 + 3...

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Q: A gutter having triangular cross-section is to be made by bending a strip of tin in the middle. Find...

A: Explained below

Q: 05: - Find 2 for the following functions: 15 marks 12 1) y = 3x² – 2vx + 2) y = (x – 3)(1 – x) 3) y ...

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Q: How would I go about solving this problem? Thank you for your time!!

A: Consider the function z=exsiny Here, the objective is to find the four second partial derivatives zx...

Q: ave the following system of linear differential equations: x' = x + 2y y' = -x + 4y. particular solu...

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Q: write each expression as a sum and/or difference of logarithms. Express powers as factors.

A: Known fact: logamn=logam+loganlogamn=logam-loganlogamn=nlogam

Q: 1. Find the intervals on which f (x) = Vx² – 9 is continuous. 2x 2. Either find lim ( -) or use a th...

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Q: Please help to find the following limits (respond to all please)

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Q: if tan x-하, ㅠLXL 웰 fin d cos? 7*

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Q: compute the derivatives indicated. f(x, y) = 3x²y – 6xyª, and ax2 ay2

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Q: A boat is pulled toward a dock by means of a rope wound on a drum that is located 3 ft above the bow...

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Q: What is the average rate of change of g(x): 2 over the interval 1<<3? x + 3

A: To find the average rate of change of g(x)=2(x+3)over the interval 1≤x≤3 Solution: We know, The aver...

Q: 1-S 1-sinx dx 1-sin?x -sin²x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 1 Using a trigonometric substitution, the integral dz becomes: Select one: O a. ftan ede b. fcsc ode...

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Q: The function f(x,y) has a local minimum at the point (a,b). Which of the following is true about the...

A: The function fx,y has a local minimum at the point (a,b). Then we have to find which of the followin...

Q: Suppose that a company's average cost is A(x) = 0.2x + 6. Step 1 of 2: Determine the marginal averag...

A: Given company 's average cost A(x) = 0.2x + 6 To determine marginal average cost

Q: 8) Evaluate the limits: a. lim x sin ex-x-1 b. lim x3 ズ→0

A: we have to find the limit of the following

Q: Where is the centroid of the region bounded by y = 4-x2 and the x-axis?

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Q: by using mean value theorem prove |sin(x) – sin(y)I < ]x – y|

A: To prove sinx-siny≤x-y Let f(t)=sint ∀t∈(x,y) Then we have the mean value theorem f'(c)=f(x)-f(y)x-y...

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: