Determine whether the geometric series converges or diverges. Σ1 −20(– 10)n-1 7 a) The series converges Ob) The series diverges

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A: To find : whether the given equation represents a function or not ?

Q: Find the displacement of an object on the interval 0 ≤ t ≤ 6 if its velocity is v (t) = 4t -√√t

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Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

Q: Use the Comparison Test to determine whether the series converges. Σ k = 1 1 5k5 +6

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Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

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Q: Given the curve x = a² - y² over the interval 0 ≤ y ≤ a/2, find the surface area of the solid formed…

A: Solution is given below:

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Q: The owner of an orange grove estimates that 150 orange trees per acre will each yield on average 800…

A: Given that the owner of an orange grove estimates that 150 orange treesper acre will each yield on…

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A: Rational Function : A rational fraction, which is an algebraic fraction such that both the numerator…

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A: Let's find series is converges or diverges.

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Q: The graph represents the reciprocal function of f(x). What is the equation of f(x)? <-5-4 A f(x)=2x²…

A: Here we have to choose the correct option.

Q: 。 5 D Yp = = [1 + ( ² + D²)] ¹ (X² + 7 X + 9) 4 4 5 D = - - [1 - ( 2² +2²) + ( + 2)² + +-- 4 4 (x² +…

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Q: Consider the function f(x) = 12x5 + 15x¹ - 240x³ +2. f(x) has inflection points at (reading from…

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Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = - y(0) = = -1

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Q: Determine the area bounded by x2= 4y and y= A B C D E 4 π-- sq. u. 3 2A- - 4 3 sq. u. -- sq. u. 133…

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Q: Evaluate the following limit using L'Hospital's rule. lim 0 1 11e 11 3 33x

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A: If we want to find the maximum or minimum values of a function then follows the steps mentioned…

Q: 09 Graph the functions in Exercise (1) 4 (ii). Then answer these quodions (a) what are the domain…

A: Given data:- The below Function are given, (i); fx=1-x20≤x&lt;111≤x&lt;22x=2 (ii); fx=x-1≤x&lt;0 or…

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A: Here, the objective is to find the mass and center of mass of the rod.

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A: We need to find area.

Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: Which of the following is a nonhomogeneous A. (x-1)y"-xy' + y = 0 C. D³ (D²-4)y=3x+2e-3x linear…

A: Non-homogenous differential equations : If the differential equation have a function on the…

Q: Use the chemical reaction model with a given general solution of y = y = 90 grams when t = 0; y = 12…

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

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Q: pulation of a certain inner-city area is estimated to be declining according to the model P(t)=…

A: answer is in next step. please give a like !!

Q: A cylindrical can is being filled at the rate of dh = 3t², h(t) describes the height of the…

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Q: Mia -Mark Settle a Dispute 1 0 -4 4 Mark thinks the equation y = 4* will match the solid graph. Mia…

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Q: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

Q: Consider the following. u = 3i + 3j v = -3i+j+ 5k Find u x v. Determine if u x v is orthogonal to…

A:

Q: At any time t, the rate of growth of the population / of deer in a state park is proportional to the…

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

Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: 4. ["s 0 sinx + 2 cos x dx

A:

Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: lim (cos(9x)) (+) +0+x

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Q: Where does f(x)=- have a critical point, which is not an extremum? O O O x = -1 x=0 x = √√3 x = 1 x³…

A: From the above function , we get 3 critical points at X=0, -√3 and √3 and two point where function…

Q: Find the area of the region bounded above by y = -x² + 2 and below by y = x². 4 3 2 & A wit 543-2-11…

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Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(3x+9)+1.6 Enter…

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Q: Problem 16. (a) Calculate the following antiderivatives: //=/ dx = (b) / -55 (c) / 2e" dx = [ -5 sin…

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Q: If tan(x) Give exact answers. sin(2x) = cos(2x) tan(2x) = (in Quadrant 1), find Submit Question Jump…

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Q: A region bounded by fly) = 5 - y, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

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Q: Find (ot (Sin-¹) (-1))

A: cotarcsin-36Use the following property: arcsin-x=-arcsinx=cot-arcsin36Use the following property:…

Q: Consider the basis S = {V₁, V₂} for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the…

A:

Q: 16 15 [ f(x) dx- - ["f - [ ₁³ f(x) dx = ["f 6 f(x) dx

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Q: If cos² 9x sin 91 = cos B, then B =

A: Given Problem:- ifcos29x-sin29x=cosBthen find B

Q: II. Solve the given linear differential equation showing the details of your work. 1. (D²…

A: The given differential equations are;  1) (D2-3D+4)y=16x-50Cos2x 2)(D2-3D+2)y=Sin(e-x).

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the…

A: Solution is given below: