∞ Consider the series (-1)" Which ONE of the following statements is CORRECT? n=1 3" OA. The series is not absolutely convergent. B. The series is absolutely convergent. OC. The series is conditionally convergent. D. The series diverges. E. None of the choices in this list.

Q: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

Q: Suppose that 2x² - y² = t² and x = t cos 0. Find (a). ¹(2), X and 0

A: answer is in next step

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Q: Find of, af , for f(x, y) = log₂ (3г² - +y)

A: Solution of given question is written in below steps.

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

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

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

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Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 7 s.u. S.U. S.U. 2 9 s.u.

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Q: Find the total length of the cable. L = 2y + 3√² +6² + constant Differentiate both sides.

A: the solution next step..

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Q: Find the measure of an angle between 0 and 2 π that is coterminal with m(0) = 7 T A 4 B D TT 4 5 f 4…

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Q: Evaluate z' if z = [1 + (x² − 1)³] ²³ O a. 2(2²-1)² (1+(2²_1)²³) i O b. none of these О с 41(2²-1)²…

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Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A:

Q: Which of the following equations can be derived from the partial fraction decomposition of a…

A: We can solve this problem as follows:

Q: a point of intersection on the unit circle whose x coordinate (3/3₁-3) (-/-/-/-) 5'5 2√6)

A: Given query is to find the intersection point.

Q: fy = √2 – 3x², find d'y dr2

A: Given query is to find the Indicated derivative.

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: differentiate y = ln(lntanx)

A: y=ln(lntanx) We know that, ddx(lnx)=1x

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 10²n n! an =…

A:

Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A: A contractor wanted to buy equipment; current price of it is ($50,000).  So, he requested the help…

Q: the following i -7x²+x-

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Q: The graph of f(0) = -2cos(10) the graph of the function f(0) = 4-2 cos A 2π units to the left; 4…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the following definite integrals Lx finck if fo for if xxO (sin x 1 x >0

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Q: √x²=1 The resulting value of the definite integral x where c and d are whole numbers. What is the…

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Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: y = 10t² 10 S3 5+²

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Q: Find the area in the third quadrant bounded by the curve x=y^2+2y.   * Draw/Plot the diagram for…

A: Given, x=y^2+2y

Q: y''+y'=0 where y(0)=0, y'(0)=1 laplace transform of derivatives

A: Given that:-  y" + y' = 0 and y(0)= 0, y'(0) =1 We find laplace transform of this differential…

Q: The deer population of a national park has a natural growth rate of 4% per year. Each year the…

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Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element.

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Q: Part II: Find the first partial derivatives of the given functions. z = (y/x³)(x/y³) ENTIA EDIA…

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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: Suppose the graph of y = f(z) is given. The graph of y=f(z) can be found by: O A reflection across…

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Q: .729 Using Rationalizing Substitution 6 6y² +6y+6+ y-1 5 5y +5+ y-1 6y+6+ 6 y-1 1 y²(y-1) dx 64…

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Q: The area bounded by the line y=x, the x − axis, the ordinates x =1, x =2 is ___ O 3/2 sq units O 5/2…

A: area

Q: 8) ff(x)dx; f(x) = 1 + 2cosx, ((²7) x + 1, sxs" TC < x≤ π

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 07 s.u. 9 9 s.u. 01 S.U. 2 S.U.

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Q: Which of the following equations is a separable variable differential equation? A. (x+x²y) dy=(2x +…

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Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

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Q: Consider dx x1/2 + x2/3 Find the integrand in terms of z. A [62²dz 1+z² B none of the choices 6 z5…

A: Using rationalizing substitution

Q: = The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: We need to choose correct option.

Q: Evaluate the integral S cos ³ x + 8 sin x cos³² x + 6s in ² x dx; cosx #0 2 cos²x

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: Topic:-  application of integration

Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

A: We have to check which sequence is monotonic increasing.

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

Q: The tangent line to the curve at the point (1,2) also passes through d²y the point (-1,4). If at any…

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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: √√2₁ y = ¹, y-axis, y=1&y=3; OY

A: Volume of solid obtained by revolving region around y axis is evaluated.