Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of the finite region bounded by this curve and x-axis.

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

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Q: MY NOTES ASIK YOUR TEACHER Consider the following differential equation. (x y?)y - y2 Let (x, y) FIn...

A: Given    x2+y2y'=y2 We have to find ∂f∂y and region of XY plane

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate int...

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Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

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Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

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Q: 8. 27 n=3

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Q: II. find an explicit solution of the given initial value problem using separation of variables. 5. x...

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Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

Q: Question Q is the region bounded by the graph of v(y) = 6y , x = 2, and y = 0. Find the volume of th...

A: Suppose that y=f(x) is a continuous non-negative function on the interval a,b.The Volume of the soli...

Q: 6 - x 12. Solve the rational inequality x < 2x -5

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Q: 3. S(x) = (x2/3 – 1)*

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Q: is

A: We will find the derivative using quotient rule. 

Q: The graph of the derivative f' of a function f is shown. y 4 y= f'(x) 4 6. (a) On what intervals is ...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x...

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Q: * = k (T – Tm) dt where T To

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Q: Assume the nth partial sum of a series a, is given by the following: n = 1 9n - 4 Sn 2n + 4 (a) Find...

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Q: Second-order condition for convexity. Prove that a twice differentiable function f is convex if and ...

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Q: 1 Use the Integral Test to determine whether the scries is convergent or V3k + 5 k=1 divergent. Reme...

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Q: In Frosto City, the temperature (in degrees Fahrenheit) t hours after 9am was modeled by the functio...

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Q: sin 4x Given: cos?(4x) (2 – 3 sec 4x) d× what is the appropriate formula to find the integral? ® Jud...

A: Given that ∫sin4xcos24x2-3sec4xdxSolution :∫sin4xcos24x2-3sec4xdxlet, 2-3sec4x=u-3sec4xtan4x×4dx=du-...

Q: Consider the following differential equation. (25 - y?)y' = x2 x2 Let f(x, y) Find the derivative of...

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Q: A particle travels along a horizontal line according to the function s(1) = 4 - 1012 + 487 where t20...

A: Given query is to find the interval where partical slowing down.

Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: area under the curve

Q: y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are recip...

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Q: Consider cost min problem for the X1α and X2β cobb-douglas production function. Find minimum value o...

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Q: Find the equation of the tangent line to the graph of f(x)f(x) at the (x,y)(x,y)-coordinate indicate...

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Q: For the sequence {an}, with lim an = 9, this means the terms in the sequence approach 9 as n becomes...

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Q: Find the equation of tangent line to graph at f at the given point.

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Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Limit comparison Test : Suppose ∑ak and ∑bk be two positive term series and        L =limk→∞|akbk| I...

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost fu...

A: We have to find ∆c and c'(x). 

Q: solue the given diffe rential equation by wing The DE IS ho moge hous an appropriale Subrtito tion -...

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Q: 11. Consider the following rational functions: 2x 1 x + 27 x -- 9x x² + x - 6 x + 6x² + 9x r(x) s(x)...

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Q: sin 4x Given: - Txwhat is the appropriate formula to find the integral? cos?(4x) (2 – 3 sec 4x) 1 (A...

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Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

A: Given sequence,a) 2n2+2n+1n2+2n+2b) -1n2n+n2n+2n2c) 2n4+2n+1n2+2n+2

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n? + 8n +7 а, —...

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

A: Solution: 5sin(πx);   x0=132,  n=0,1,2,3,4  

Q: series. 8 8. 8 8 + + 3 32 33 34 This can be written as a geometric series in the form E cr". Identif...

A: Given: 83+832+833+834+⋯

Q: please do both

A: We have to find out the reason

Q: If you are doing least to greatest and you have 0.750 and 0.3 do you add two zeros or keep 0.3 the s...

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Q: 4x-1 4x-1 Calculate lim and lim If the limit does not exist but can 8х-5 8х-5 x→-00 be described as ...

A: Here, to evaluate the given limits  limx→∞4x2-18x-5  &amp;   limx→-∞4x2-18x-5

Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

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Q: Question Let f(x) = 5 - 3. Calculate the arc length of the graph of æ = g(y) over the interval æ 2 t...

A: Given that fx=x5-3 To find : Arc length of graph x=gy  over the interval x=2 and x=5Solution :fx=x5-...

Q: (4-x² f (x, y, z) dy dz dx

A: Please see the below picture for detailed solution. 

Q: cot 2x csc42xdr Evaluate: /2-3 cot?2x

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Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R ...

A: Given query is to add -R in diagonal of matrix.

Q: Given the following trigonometric values, find the angles ? within the interval 0 ≤ ? ≤ 2? that sati...

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Q: 3x2+8x-12 dx x3+7x2+12x

A: As per the instruction, we will be answering only the first question.     ∫3x2+8x-12x3+7x2+12xdx=∫ -...

Q: Sond equation of tongend e to graph o Suneten at given pt aNc cos X

A: Topic = Function