Find the centroid of the given region. [Give exact answer in fraction form.] y = 2-x? y =x The centroid is ( ).

Q: 12 Find the resultant of two forces, one of 72 pounds and the other of 56 pounds, if they act at a ...

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Q: Using the figure shown, find csca (3, - 4) -5/4 -5/3 5/4 5/3

A: Here we will find  cscθ,

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: Given query is to find the derivative of the expression.

Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = is an ...

A: topic- limits and continuity

Q: 3,Find the max, min, infledon Points an d the intervals eln which the F unc tHon on

A: f(x)=4x3+6x2-6x-4f'(x)=12x2+12x-6f'(x)=012x2+12x-6=02x2+2x-1=0 x=-2±4-4(2)(-1)2x=-1±32     (critical...

Q: The quantity of a drug, Q mg, present in the body t hours after an injection of the drug is given is...

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Q: A monopolist produces two goods as follows: p= 11-0.5x, q = 51- 0.5y where p and q are prices per un...

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Q: Find of the function given implicitly: 6xy + 7e" = 7e . Evaluate the second derivative at the point ...

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Q: 1D Learning Task 2: Find the slope of the given two points 1. (5,2); (2,3) 2. (0,3); (-2,5) 3. (3,5)...

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Q: Consider the function f(x) whose graph is given below. y= f(x) in Enumerate all discontinuities of f...

A: Here f(x) is not defined but at x=-2, x=3, x=5 .

Q: 4. Assume y(x) = eaª cosBx is one of the solutions of the DE y(3) – 3y" + 7y - 5y = 0. Then α+β= (A)...

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Q: What is the value of rez+1 ? 1+e-z df (0), where f(r) = dz Give your answer as an integer or as a de...

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Q: 7. The terminal side of an angle in standard position passes through the point (3, 4).  What is the ...

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Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the ...

A: Topic:- calculus

Q: Minimise x + y - 2xy subject to the constraint y 1: Answer:

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Q: 3 8. If sin e = - - and the terminal side of e lies in quadrant III, find cos e. 5 3 3

A: Topic  = Trigonometric ratios

Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

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Q: If f(t)=2t+sin(t) describes the length of an oscillating spring in m/s, what is the instantaneous ra...

A: Solution is written in below steps.

Q: If Y=tanx prove that %3D2

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Q: Let f(x)=x^3−9x. Using Rolle's Theorem, what are all the values c in the interval [-3, 3] such that...

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Q: 2. 조우 X*-xy y-3 Find van d

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Q: Given: C = 10 24° В a = 12 C Find the following item (nearest whole number and degree).

A: Find your answer below 

Q: Suppose that > an is an infinite series with partial sum SN = 7 – n=1 N2 10 16 What are the values o...

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Q: Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2(n +...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: From definition of Taylor series about center c of a function f(x) we know, f(x)= ∑k=0∞fk(c)xkk!

Q: determine the vatie 84 + 5C of 206 90 12

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Find up ifr=V ands=16420 Find dr and s=16¢ê2ot

A: Solving the problem by finding the solution of the derivative.

Q: Find two points where the curve x^2+3xy+y^2=47 crosses the x-axis. The tangent lines to the curve at...

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Q: The graph of a function f is shown below. x3 x4 x5 x2 At which of the labeled r-values is f(x) least...

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Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

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Q: Calculating the Doubling Time 1. Find the Doubling Time for the function f(x) = 90(1.1)* using the i...

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Q: C. Determine the value of a and b that make the given function continuous. (Choose one) ax + b x1

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Q: Write (1-az2-bz)/(1+bz) as a product of linear factors.

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Q: Integrate تلد ا - تم( فیگ S (a² – v²) * 22)* dv where " a" is constant

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Q: Tutorial Exercise Find the indefinite integral using integration by parts with the given choices of ...

A: As we know that; The Power law; ddxxn=nxn-1 And ∫sinax+bdx=-1acosax+b+C∫cosax+bdx=1asinax+b+C Where,...

Q: Find the derivative of the trigonometric function. (e) = t° sin(e) f '(t) =

A: if f(x) and g(x) are both differentiable functions, then product rule of differentiation tells:     ...

Q: QJchange to Polar ( dxdy - Ji-y?

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Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

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Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0, y0).y=4+2...

Q: Determine whether the series converges. Ve k=1

A: To determine: Whether the series converges or not. Given information: The series is ∑k=1∞1ek Concept...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Given: f(x)=e3x, c=0

Q: 1. Let f(r) = r' on [0,5). At r= 27, the Fourier series of f converges to (a) -27 (b) 27 (c) 8 (d) 0...

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Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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Q: Use logarithmic differentiation to find the derivative of the function y = 8x"("), wherer (x) = 5x ....

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: Vector A satisfies the vector transformation law, A'=SA. Show directly that its time derivative dA/d...

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Q: Question 6 of 9 Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then fi...

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 5+ 27 1....

A: topic  -series convergence and divergence 

Q: 5) Find the Maclaurin series for each of the following functions and give the interval of convergenc...

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