The series representation of f(x) = n(x²-1) is given by power OA ¹+¹, -1

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Let's find revenue function.

Q: To determine the area of the region bounded by x = y²-y-6 and x = 2y +4 first we have to calculate…

A: Given that curve x=y2-y-6 and                x=2y+4Solution :we have to find limits of the graph the…

Q: Which of the following describes the partial fraction decomposition of a rational function of the…

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Q: lim (x,y)→(1,1) O -1/2 O Limit DNE O 1/2 O 2 (4x - 5y) 5x² – 7y

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Q: Sean Marley Tapulayan Active Now 1-cos 2 cos² (1) sin²() cos² (7) sin² (22) K Simplify: A B c) cos D…

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Q: Find the value of the arthmetic series below 3+6+9+...+48 A 357 B 458 C 396

A: Solution:-3+6+9+...+48First term, a=3Second term=6nth term, an=48Common difference, d=6-3=9-6=3nth…

Q: (4) Draw the missing figure on the sequence below and provide solution/explanation: 4

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Q: what is the final answer? can you write the final answer in 7/6 leters/min?????????? whats that?

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Q: tan20 Evaluate the limit: Lime +1 2sin20

A: Our Aim is to evaluate the limit of the expression given below:-limθ→1tan 2θ2sin2θ-(i)

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

A: Here, given that f''(x)=x2(x-7)(x-2)

Q: + d²z Oy2 = 0;

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Q: Use the given the function: (z+2)(x-3) f(x) = (x+1)²(x-2) to answer all of the questions below.

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Q: find the slope of the curve x = e^-tcost2t, y=e^-2tsin2t at the point t= 0

A: find out the slope of the curve at t=0

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

A: Follow the procedure given below.

Q: S²³² The numerical value of -3√9-2 dx will be equal to

A: Given that ∫-33x9-x2dxSolution:odd even property if f is odd f-x=- fx  then ∫-aafxdx=0

Q: 1The graph of the volume for solid revolution between the curves y = x+1 and y = O around the x -…

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Q: S²S 1/2 The numerical value of 2e dxdy is equal to

A: Solve the following

Q: (a) Evaluate the following integrals: π cos(x) dx dy 4y

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Q: 5. f(x) = x²(3x + 2)³; f'(-2)

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Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: ind a value c that verifies the conclusion of the Mean Value Theorem for the function f(x) = x² on…

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Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

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Q: ·S Evaluate x 1/2 dx + using rationalizing substitution. x2/3

A: Topic:- application of integration

Q: f (x² + 1)(x³ + 3x)² dx

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Q: b- dy +2y=0; y=1 at t=0, y(0)=1 dt

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Q: 5. Evaluate the following integral using spherical coordinates: 2-x²-y² ста z dz dy dx. x² + y²

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Q: day dx5 + day dx4 - 6 d³ y = 0 dx³

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Q: 4ex. Given: v dx 2 Applying rationalizing substitution, find dx in terms of z. 2 z dz A z²+2 (2z+z)…

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Q: The graph, when the curve y = √3 + x² from x = 0 to x = 4 is rotated about x - axis is A B C D

A: To find the graph of the solid formed by rotating the given curve about x axis, first we find the…

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: (4) Find Laplace Transform F(s) for the variable x or y in the equations a-y"+2y'-3y=32e"; y'(0) =…

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Q: Find all points on the curve y = x³ + 2x² - 6x +5 where the tangent is parallel to the line 2x + y =…

A: Given :y=x3+2x2-6x+5line : 2x+y=4

Q: Find x rounded to one decimal place. X = 30° 3 X

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Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: y = 3sinh (3t) 3 s² +9 A) 6 s² +9 3 S² - 9 6 S²-9

A: Given function is y= 3sinh(3t)

Q: dt dx dt -2x=4; where x(0) = 1

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Q: dx dx.

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: PART II: What is the area bounded by the curve y² = x and the line x - 4 = 0?

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Q: ³₁(1+w) (2w + w²)5 dw

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Q: 3. Find the volume of a solid G bounded above by surface z = 10 x², bounded below by the plane z = 1…

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Q: Evaluate the following double integral over the given region R. 4 ln(y + [[ (x+1)(y+1) dA over the…

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Q: n! n=12n! +1 A. The limit does not exist. B. None of the choices in this list. C. The series…

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Q: Assume acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a platform…

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Q: 3. Let R(t) = (t², 1-t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Here, R→(t)=t2,1-t2,t, r(t)=cos t So, F→(t)=R→∘r(t)⇒F→(t)=R→(cos t)⇒F→(t)=cos2t,1-cos2t,cos…

Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…