(-1)"n+ a) Is the series >, n5 + n + 1 n=1 convergent, absolutely convergent or divergent? justify your answers.

Q: What is the absolute minimum value of the function f(x) = x³ – 3x2 on the interval [-1, 4] ? а. 16 O…

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Q: During a scouting exercise, Andres leaves camp and hikes 2 miles northwest. He then turns and hikes…

A: topic - vectors

Q: The dimension of the vector space P3 is equal to: Select one: O 5 O none of the others O 2 O 4 O 3

A: We have to find the dimensions As per guidelines we have to solve one question Please repost other…

Q: (x-4)2 (y+1)² Problem #4: Find the slope of the line tangent to the conic section 16 = 1 at (4,6)).…

A: We can find the slope to the conic section at the given point as below.

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Find the area of the triangle whose vertices are given below. A(- 2,4) B(3, – 4) C(11,- 4) The area…

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Q: 3. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15+0.1x…

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Q: x2 -9x+11 dx 7. r+6

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Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: f(x)=x2+ax+b

Q: Question #1 C1:“Graph a variety of functions, including piecewise functions, and evaluate limits…

A: We need to solve limit problem.

Q: Prove that 17 is the only prime number of the form n- 64.|

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Q: Fincl the general equation of y) + 3y? - 10y -0

A: Let's find.

Q: L-1{_ (s²+4s+20. L-1

A: inverse laplace transform of the given 8s2+4s+20

Q: Given the triangle 17 find the length of side x using the Law of Sines. Round your final answer /37°…

A: The triangle has length 17, x and angles 37°, 14°

Q: The state of decay of radium is proportional to the amount present at any time. Suppose that 400 mg…

A: Here we will find radium left after 2.5 hours and 10hours,

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x -…

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Q: Find the center-radius form of the equation of a sphere which circumscribes two externally tangent…

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Q: Work Problem 1 ( Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the…

A: As per guidelines, I can answer only one question and maximum three sub parts of a question. Since…

Q: Find the maximum, minimum and inflection points of the fur y = 3 sin 2x at [0, 1]. %3D

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Q: .2 1 27 36

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Q: Q/ Find the Surface area generated by revolving y = 1 – x² around the y- ? 0 <x <1 axis, where

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Evaluate the following limits or explain why the limit does not exist lim as x approaches 0…

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Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

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Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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Q: timear

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Q: -8 dx Se-2-7 10.

A: Solving

Q: Using the law of 69.3 calculate to the nearest 0.1 yr the time it will take your original investment…

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Q: For the function: f(x) = 2sin (G) on the interval [0,4Tt], find: Relative max = (t,[ ? ]) Relative…

A: This is a problem related to maximum and minimum of the function. Based on the general formula and…

Q: 4x2 Let S be the surface with equation y = + 22. 9 (a) Write the equation of the traces of S on the…

A: Here S is the surface with equation y=4x29+z2. a) For y=4 , trace of given surface will be given…

Q: Which formula would be used to calculate the left rectangle approximation of o 4xdx using five…

A: We need to choose correct option.

Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and = = cos T î + sin 7 ĵ. Use the Theorem above to find the…

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…

A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

Q: Evauate (x²+9²) dxcky

A: Solution is given below:

Q: Find the maximum, minimum and inflection points of the fur y = 3 sin 2x at [0, 1]. %3D

A:

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: Solve the problem below. Evaluate the determinant: 1 2 3 -2 -1 -2 3 4

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Q: Evaluate fE in two ways: using partial fractions and using a trigonometric substitution." Reconcile…

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Q: B. A certain culture is able to sustain 100 colonies of bacteria. Initially, there were 10 colonies…

A: We need to find colonies after 24 hours.

Q: Consider and know that the function g defined by 1 g(x, y) = cos (Tx /g) + log3(x – y)* - Answer the…

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Q: 12x + 30 -dx x²+ 2x – 8 Let In M = What is the value of M? O (x+4)3 +C (x– 2)9 O (x-4)²(x+2)º None…

A: ∫12x+30x2+2x-8dx

Q: * Adh Evaluate: Рое

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Q: sin 4.x if x > 0 Suppose f(x) = {0 if x = 0. Find f'(0) using the definition of derivatives. x+4x if…

A: We have to find f'(0).

Q: 8 +3 dx Vx2 + 36 t,

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Q: If E is the solid that lies under the plane z = 3 which its base on the xy-plane is between the two…

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Q: Solve the problem. 26) Hands-On Calendar has found that the cost per card of producing x pocket…

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Q: What is the quotient when 4 + 8i is divided by i3?

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Q: 3 Given the curve y= x and the line V= 4x in quadrant 1 Find the area of the region bounded by the…

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Q: The weekly demand for the PULSE 25 LED TV is р 3 600 — 0.05х, 0 < x < 12000, where p denotes the…

A: The weekly demand for the PULSe 25 LED TV is p=600-0.05x0≤x≤12000, where p denotes the wholesale…

Q: Finel the areca of Hhe region above the x-axis bouncled by the fuunetion 9= 4x-x?. う.

A: Area of a region bounded by a curve y=f(x) is given by, A=∫abydx where a and b are points of…

Q: Graph the following function Function المعادلة الرئيسية у3- cos (x) y=A cos (Bx+C)+D A= y B= C= D%=…

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