In² x lim x1x²2x + 1 00 0 1 O ∞ O 1 2

Q: Below is the graph of y = x² + 5. I 30₁ M -4 -3 -2 -1 0 1 2 3 4 5 The area bounded by y = 1² + 5 and…

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Q: Include several decimals for accuracy when the problem is graded. - 1)" 200 nº.8 ∞ n=1 S4 = error

A: To solve the following series problem

Q: what is the answer to d?

A: Please see the below picture for detailed solution.

Q: A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held…

A: Solution: Let's take x(t) as the mass of salt in the tank at time t, we can determine the…

Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

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Q: Sexy² dx + 2x²ydy where C is the triangle with 7) Evaluate vertices (0, 0), (2, 2) and (2,0)

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Q: To test this series for convergence n n=1 √n² +6 You could use the Limit Comparison Test, comparing…

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Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 5x² 20x +3 on…

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Q: Compute the value of the improper integral. (If the integral diverges to ∞, type oo; if it diverges…

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Q: ∞xk Use the power series f(x) = In (1-x) = -Σ, for -1 <x< 1, to find the power series representation…

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Q: (2x + 7) (z² + 7x + 7)*¹dx by making the substitution u = x² + 7x + 7. + C NOTE: Your answer should…

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Q: Consider the initial value problem for function y given by, y" - 4y + 13 y = −3√(t-1), (a) Find the…

A: The given differential equation is:y''-4y'+13y=-3δ(t-1),       y(0)=0,   y'(0)=0

Q: A construction company has an expenditure rate of E'(x)=x dollars per day on a particular paving job…

A: We have to find the number of days which yields the maximum profit.

Q: available rest Estimate the area under the graph of the function f(x)=√x+6 from z=-3 to z = 5 using…

A: The given function fx=x+6 from x=-3 to x=5. We have to find the area under the graph using midpoint…

Q: Linear Differential Equations. Find the general solution. (2x+3)y'=y+√(2x+3)

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with so here we have

Q: The nth term of a sequence is given. n-1 -2-(--/-)² - ¹ an = (a) Find the first five terms of the…

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Q: Eliminate the parameter to express the following parametric equations as a single equation in x and…

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Q: Two sides of an oblique triangle are measured to be 3 and 4. If the angle θ between the two sides…

A: According to question,Given sides of triangle are 3 and 4,anddθdt = 0.04 radianssec

Q: 1: Solve a- d²y dx² + y = sinx

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Q: Use the given information to find the unknown value. y varies directly as the cube of x. When x = 2,…

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Q: 10. Let F = (0,2² - y², -yz). (a) Compute the divergence of F (b) Compute the curl of F

A: To find divergence &amp; curl of vector.

Q: Find the dimensions of the box with square base whose surface area is 20 and volume is maximal…

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Q: A balloon is rising vertically over point A on the ground at the rate of 7 ft/s. Point B on the…

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

Q: . Water flows from the bottom of a storage tank at a rate of r(t) = 200- 4t liters per minute, where…

A: Given query is to find the amount of water flow in first 10 min.

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4n²+3…

A: Let's find  given series is convergent or divergent.

Q: ∞ 1 les Σ VR fo To test the series for convergence, you can use the P-test. (You could also use the…

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Q: Given the geometric sequence: 22, Find an explicit formula for an, where the first term is a₁ an =…

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Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

A: Given velocity at time t is vt = 2t12+5.

Q: Find the average value of the function on the given interval x. [0, 1] h(x) = 4e sinx cost.

A: The function hx=4esin xcos x on the interval 0, π2. We have to find the average value.

Q: 8. A math teacher adopts the following function to curve her students' midterm grades: f(x) = 10√x…

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Q: Find the integral. cos³xsin²x dx 1 1 0-sin³x + sin³x + c C 3 1 sin²x - sinx + sinx 5 1 3 1 5 sin²x +…

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Q: Consider the indefinite integral 2³ · √zª + 9 dr: This can be transformed into a basic integral by…

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Q: x5 (26 + 6)6 This can be transformed into a basic integral by letting Consider the indefinite…

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Q: A closed cylindrical boiler is to have a volume of 196. The cost of the metal sheets to make the…

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Q: A statement S, about the positive integers is given below. Write statements S₁, S₂, and S3, and…

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Q: If the operation is undefined, enter NA. Hint: To create a matrix in Mobius, click on the icon that…

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Q: For the sequence an its first term is -7 its second term is its third term is its fourth term is its…

A: To find the given terms of the sequence

Q: x = 2+² +4t The position of an object at time t is given by the parametric equations y = 3t² + 5…

A: given  x=2t2+4t  and y=3t2+5formula used is  horizontal velocity =dxdtvertical velocity…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Answer is in step 2.

Q: 469 2 sin+sin 0 tan²0 de sec²0 S

A: Given query is to find the integral.

Q: Find the area enclosed by the line x = y and the parabola 4x + y² = 12.

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Q: Find the average value of f(x) = x³ on the interval [3, 5].

A: Given function, f(x)=x3 on [3,5]

Q: For the sequence defined by: a1 = 4 = an+1 = Find: a2 a3 = = a4 = 1 an 1

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Q: 9. Find the derivative of A) B) y = (lnx)4 y = ln x4

A: we know that  lnxn=nlnx dlnxdx=1xA)   given   y=(lnx)4

Q: Q)solve the following system of equation using cramer's rule 5x₁-2X₂ +3 X3₂ = 16 2X₁ +3X₂-5X3 = 2…

A: Given system of equation are5x1-2x2+3x3=162x1+3x2-5x3=24x1-5x2+6x3=7

Q: Find the circulation of F = 6xi +9zj + 7yk around the closed path consisting of the following three…

A: Given ,    F= 6xi +9zj+7yk C1:r1(t) = (cost)i +(sint)j +tk ,       0≤t≤π/2 Circulation   =  ∮c F.dr1…

Q: Find the orthogonal trajectory of the curves x ^ 2 = c *(y ^ 3)passing through (1,4).

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Q: Evaluate the indefinite integral. 2²√14+ rºdz + C Question Help: Video Message instructor Submit…

A: ∫xndx=xn+1n+1+clet  A=∫x214+x3dx

Q: 4) Evaluate (¹ + tany)dx + xsec²ydy where C is the curve Y=X²-1 from (1,0) to (2, 3)

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Q: Evaluate the integral. 가고 4-x² π 2 플-1 2 dx 0 1 프_3 2

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