Verify that the series Σ n=1 satisfies the conditions of the Integral Test, then use the Integral Test to determine if the series converges or diverges.

Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

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Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

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Q: The gross domestic product (GDP; in trillions of dollars) for Country A and Country B can be approxi...

A: The gross domestic product (GDP in trillions of dollars) for Country A and Country B can be approxim...

Q: 2. Calculate the double integral 2ry dA, where R is the triangular region with vertices (0,0), R (1,...

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Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: 11. In x)3 dx 4x

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Q: y²dx + x(x + v) dx = 0 LINE 1 let x= x2 , dx = yda + zdy y2 (xdz + zd) + xz (v2+)dx=0 v² (vdz + 2dv)...

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Q: 5. Use the pascal's method or term formula to write and expression for each term (a a. ts3 b. t15,12...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1 x-intercep...

A: Given query is to find the rational function with given characteristics.

Q: A note card company has found that the marginal cost per card of producing x note cards is given ty ...

A: Here we will find total cost of producing 580 cards,

Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer coeffi...

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Q: 3. What indeterminate form is the lim x. Evaluate the limit.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

A: Question- Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

Q: (x+2y-1)dx+(2x+4y-3)dy=0 differential equations

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is T6 (the Trapezoid ...

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1 converges or diver...

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Q: 5. Evaluate the folloming integral over the region R 2des places. Gitosetrsine)r dride పా

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Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the eq...

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values ...

Q: Find the domain and range of the function h(x, y) = 4\/-5y + 15x“. %3D Indicate the domain of h in e...

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Q: owner of a ranch has 1900 yards of fencing material with which to enclose a rectangular piece of gra...

A: Given query is to find the dimensions for maximum area.

Q: Solve (D² – 1) y = e-2* sin (e-*)

A: Given differential equation (D2-1) y=e-2x sin(e-x)

Q: 4. The foci have coordinates (-8, 0) and (4, 0) and a vertex at (8, 0)

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: x5-3 14. S4 cos (-3x + 2) dx

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

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Q: +00 n Σ n² + 2-n n=1 WI

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Q: Let x be a continuous random variable over [a,b] with probability density function f. Then the media...

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Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its magnit...

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Q: using seperation of variable method, solve dy/dx=x3y2

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Q: Let u = i +j and v = 5i - 3j. Input answer with NO SPACES. Find 3u - 2v:

A: Given that         u = i + j     and  v = 5i - 3j Here we have to find 3u - 2v .

Q: Evaluate the Integral 3sin2ß) 4 cos2ß dß. A 30 - (4 – 3sin2f) 5 + C (4- 3cos28) 5+ C B 30 -(4- 3cos2...

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Q: Find the points of Intersection of the graphs af the equstions. x-43 -y y-x-1 Sop 1 A polnt of Inter...

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: Consider the function f[x) 3x“ on the interval 7. Find the average or mean slope of the function on ...

A: Given query is to find average rate of change and value of c.

Q: 2. S(2 – 3e*) dx

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Q: Write an equation of the line tangent to this curve at point A r = −8 sin(θ)  polar coordinate (-4...

A: Given query is to find the equation of the tangent line  

Q: Solve the differential equation by variation of parameters. 16х у" - 16у %3D 4x e У(x) %3

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Q: Find the open intervals on which the function f(x) = ax? + bx + C, a0, is increasing and decreasing....

A: f(x)=ax2+bx+cf'(x)=2ax+bcritical point:f'(x)=02ax+b=0x=-b2aFor a>0,f is increasing on (-b2a, ∞)be...

Q: 2020, the population of Ethiopia was 1.65 times as large as the population of Thailand. We can also ...

A: Given query is to find the population of Ethiopia in terms of percentage of population of Thailand.

Q: ACID MIXTURE: A chemist needs 10 liters of a 25% acid solution. The solution is to be mixed from thr...

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Q: The range of the function f(x, y) =16-4x² -9y is equal to: [0, 4] [0, 16[ O This option O This optio...

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Q: Determine whether the given series is convergent or divergent. +oo 5n + sin? Σ - | sin n| а. 3" n=1 ...

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Q: Evaluate the Riemann sum for f(x) = 2x - 1, -6 s xs 4, with five subintervals, taking the sample poi...

A: right reimann sum

Q: Using Integral or comparison test, determine if the series is converging or diverging. +00 nyn n² + ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)...

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Q: Work of 1 Joule done in stretching a spring from its natural length to 16 cm beyond its natural leng...

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Q: 10. W (꼭프) 22π 3

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Q: Consider the function f(r) %3D f(1) has two inflection points at x = C and x D with C <D where C is ...

A: Given problem:-

Q: Consider the series n(1+ ln? n) n=1 (a) Verify that the given series satisfies the conditions of the...

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