1. Find the area of the region bounded by the graphs of the equation Y = x and y = x2.

Q: Evaluate f v-8+ 6x – x2 dx using trigonometric substitution

A: The objective is to evaluate the integral using trigonometric substitution

Q: Answer this question please.

A: Rotation of matrix about a line through origin : Change the given point into polar form and check th...

Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: Answer the question below: x+y The student should find the local linear approximation of f(x, y, z) ...

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Q: Find the amplitude of the graph of gy=-7cos O 18% 7. 77 O-7 07

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Q: /1+x³ dx x-2

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Q: dy Which of the following is the general solution to the differential equation dx e x+ In x = C y ex...

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x)# 0

A: follow next step

Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu  

Q: The figure on the right shows the graph of f and a line tangent to the graph of f at x = 7. Find f(7...

A: Given query is to find the value of f(7) and f'(7).

Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: 7. S(2 + tanx)²dx

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in. / min. Co...

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Q: The deviation of each observation (y) from the mean of the response variable is negative for every p...

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Q: Find an arc length parameterization of the given two-dimensional curve and give the corresponding ve...

A: Given problem:- Find an arc length parameterization of the given two-dimensional curve and give the ...

Q: det a det C

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Q: Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusiv...

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Q: sin x 3. Vcos x

A: To evaluate: I=∫0π2sin5xcos x3dx=∫0π2sin4x(cos x)13sin x dx=∫0π2(sin2x)2(cos x)13sin x dx=∫0π2(1-cos...

Q: 32. Find a linear differential operator (of lowest order) that annihilates the given function: f(r) ...

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Q: Given the function: f(x, y) = 3æ°y – 7x*y+ 5x – 4y Find the folowing: show complete solution a. fz(1...

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Q: PART - B IA. Solve (4xy + 3y? - x)dx + x(x +2y)dy = 0 with y(2)=2. IB. Solve (x²D2 + xD - 1)y =ri

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If w...

Q: dr = b (cos(O)dr + r sin(O)dO)

A: Given dr = bcosθ dr+rsinθ dθdr(1-bcosθ) = rsinθ dθdrr = sinθ dθ1-bcosθintegrate on both sides to get...

Q: 2) Determine dz/dx and dz/dy for z* – y? + x² = 6x²y³z? %3D

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer below...

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Q: V1+x3 dx [6] S (7) (ax2a (x2a+1)*dx x-2 ах2а (7] S

A: Given: (1)   ∫1+x33x-2dx (2)  ∫ax2ax2a+13xdx

Q: Evaluate the limit lim, 5 a. 2 b. 0 C -1 x d. I

A: Given: limx→5 x+11x-1

Q: x (4 y dæ + 2 x dy) + y (3 y dæ + 5 x dy) = 0

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Q: Question 1 Consider the function (x²y² – y³ x2 + y2 if (x, y) # (0,0) f(x, y) = %3D 0, if (x, y) = (...

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Q: S(x+ )´ dx 2 1 X X.

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Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: Which of the following is the general solution to the differential equation Су(х + у) %3 х У(х + у) ...

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Q: Convert the angle 20° to radians. 18 O 97 10 9 1877 none of the above Submit Question O O

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Q: 15 1야 -5 10 /15 -20 -15 -10 20 -5 -10 -150 -20 lim f(x) x--5 -5 lim f(x) 10

A: Topic = limits

Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4 ...

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: Find the exact value of the following trigonometric expression: .2 tan? o - sec? o = Submit Question...

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Q: solve for nonbermagnenous dilkeremrial equation . 4x

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Q: Evaluate f w?sin(10w)dw using integration by parts W

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Q: Given the series: 1. k+3 does this series converge or diverge? diverges converges If the series conv...

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Q: 637 A central angle in a circle sweeps out an area of square centimeters. If the central angle is 2 ...

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Q: Name the quadrant in which the angle 0 lies if cot t > 0 and sint < 0. O II OIV O Not possible to de...

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Q: Directions: Work in your small group to complete this worksheet. Return the completed worksheet alon...

A: We need to find rate of change of area.

Q: If 0 = 4 find the reference angle 0'. Give only exact answers, and type pi for a if needed. Do NOT t...

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Q: dy find dx t - 1 If y = t and æ = t+1 dy A. 2t(t + 1)2 dx В. dy = t(t+1)² dx dy 2t С. dx (t + 1)? dy...

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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 ...

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Q: For the next four questions, consider the differential equation y" – y = x²e* +5

A: Let's find. 

Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: Here, the given relation between Y and X is negative that is as X increases Y decreases. One of the ...

Q: - 5 sin Find the period of the graph of y = 4 O 87 O 2 01 Submit Question

A: period of function  ASin(B(x+c)) is 2Π/B 

Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: Edit Find a formula for the graph shown in the figure in terms of sin x or cos x. 15 5 -10f(x)+ 5 37...

A: Here mid line is y=5. Amplitude is 10 ( graph is above and below the mid line 10 units.)