Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(t) = √√√7 - t-√√3+t…

A: For square root function to be defined the term in the square root should be positive

Q: Complete the identity. sin (a+B) = ? cos a cos B cot a + cot B -tan a + cot B tan a + tan B tan B +…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→0+

A: On solving this we will get

Q: Find by implicit differentiation, given that x²y - 2y4 = -4. Your answer could involve both x and y.…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2. An In(n+1)…

A: 2.an=lnn+1-ln n

Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

Q: Find where the curves intersect, draw a sketch of the region (label it completely), and compute the…

A: This question can be solved using area bounded by curves.

Q: Prove that the vectors v= and w= are orthogonal.

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Q: 2) 1 Vl-x dx

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Q: y" - 5y' = x - 2, when x = 0, y = 0, y' = 2

A: We have to solve the given differential equation.

Q: Consider the following graph. 1 1 X

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Q: The solution set of 12x +21>4 (-∞, -4) U (1, ∞ ) .A O (-∞, -5) U (1, ∞ ) .B (-∞, -3) U (1, ∞ ) .CO…

A: Topic = Inequality Correct option = C

Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

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Q: Verify the identity. (Simplify at each step.) 8 sin² x − 8 sinª x = 8 sin² x (1 – - 1 (8- - = 8…

A: Topic = Trigonometry As per guidelines , At a time only one question can be answered. Please repost…

Q: y"+y=2xsinx

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Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: 8 1 X = Σ" with convergence in (-1, 1), find the power series for 1-x n=0 1 - 8x³ 8 n=0 Identify its…

A: Let's find power series and it's interval of converges.

Q: 8y^4+12y^3-2y divided by 2y^2+y

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Q: y = x *Arctan (x4)

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Q: Using an appropriate substitution | tan³x sec7xdx is equal to

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Q: Convert the following point from cylindrical to rectangular coordinates: (x, y, z) = (5.5.-9) 5, 2

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Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

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Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: Question 2 fe2x cos x dx Oln sin x + ² +C Oe² sin x + ² cos x + C O None of the choices ○ (1+x³)√1 +…

A: Please see the answer below.

Q: Consider this function: f(x) = 2x³ +5x² - 4x - 3 This problem has four parts. Be sure to answer all…

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. y =…

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Q: Find the vertical asymptote of the graph of f(x) Describe the behavior of f(x) to the left and right…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Calculate the integral approximation S10 for Si, dx. 1 x5+1 S10 =

A: Let's find integration value by using simpson rule.

Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

Q: following relation { (a,b), (b,a), (c,b), (c,a) } is not a function.

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Q: Assume that y is a differentiable function of x such that y^2 = x^2 + 4xsecy. Find

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Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: lim x-0 1+x−1

A: Given problem:-

Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an<1 and compare it…

Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

Q: perfect-square trinomial is a trinomial that is the square of a monomial. 0 صواب ( خطأ

A: Is a perfect square trinomial is a trinomial that is the square of a monomial

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Given :f(x)=x3-sin2x+1=22.688

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

Q: Find the average value of the function f(p, ,0) = p over the solid ball p ≤7. (Simplify your answer.…

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Q: Write an equation for the transformed logarithm shown below. Your answer should include a vertical…

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Q: The area of a square with side s is A(s) s². What is the = rate of change of the area of a square…

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Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

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Q: The function f(x) = max x, searches for the maximum value between a number. Prove formally that the…

A: Given; f(x)=maxi .xi

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: Given query is to find the height when velocity is 100ft/sec.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: What is…

A: Given that a ball launched at in air t seconds after  it is launched byf(t)=-16t2+300t+20When the…