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Q: Test the series below for convergence using the Ratio Test. S In(n) 6h n=2 The limit of the ratio…

A: Given: Now,             limn→∞ lnn+16n+1lnn6n=limn→∞ lnn+16n· 6lnn6n=16·limn→∞…

Q: — т3 + 3х2 — 2х — 1. + 3x2 %3D

A: answer is in next step

Q: Determine whether the (-1) "3" 00 geometric series * is convergent or n=1 6" divergent, and if it is…

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Q: Hw) Salvethe diffequ

A: We need to solve D.E.

Q: If f(x) = 6 + 5x – 5a, find f'(- 3).

A: Topic = Derivative

Q: Given: 3a – 6x + 2y + 8y- 1= 0. Identify the conic and give its foci.

A: Follow the procedure given below.

Q: Let D={(x,y) | x2 +y² <49}. Let f(x,y)=V49-(x²+y²). J| f(x,y)dA <343T Select one: True False

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Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

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Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

A: Let's find.

Q: If the marginal cost function is given by c'(x) = 3x + 4x+ 3, then a general expression for the…

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Q: Test the series below for convergence using the Ratio Test. n+ 2 34n +3 n=1 The limit of the ratio…

A: To determine the series converges.

Q: 21 4 B=5 -2 A= %3D 3 0 Find the Lollowing 5 Only) (chease A+B 3A -B

A: A=2-130  , B=521-21) A+B    =2-130+521-2  =2+5-1+23+10-2  =714-2A+B=[714-2]

Q: Find the AREA of the region enclosed by r =2+2 sin 0. A. 27 В. 4т С. 6т D. 8T

A: Here we have to find the area of the region enclosed by r = 2+2 sin(theta) .

Q: Find the generals solution to the following 2nd order Non Homogeneous ODE: x?y" -3xy" +4y=2x?

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Q: 1) Find the area of the region that lies inside the curve r =1-sin 0 and outside the curve r= 1.…

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Q: 2r – 3, Use the limit definition of derivative to show that f(x) = I 2 I = 2.

A: for differentiate at point  the function should be contineous at point for contineous limx→2+ f(x) =…

Q: Date Name Written Homework 3.6 & 3.7 1) Solve a triangle ABC if a = 57.5, c = 49.8, A = 136°. Round…

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Q: Find the marginal revenue for producing x units. (The revenue is measured in dollars.) R = 30  10x −…

A: Given that, R = 30(10x − x3⁄2)

Q: 2.14 Show anx" + ... a12 + ao lim n an bn .. provided that b, # 0.

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Q: L = - Given the power series 00 (x + 2)" n = 0 2" Find the "Radius of Convergence" for the series.…

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Q: Graph the region bounded by r= 6cos3θ

A: We have to graph the region bounded by  r = 6 cos 3θ.

Q: Calculate the Taylor polynomial T3 centered at x = a for the given function and values of a and…

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Q: A particle moves in a straight line with velocity t-2 – * ft/s. Find the total displacement and…

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Q: The average value of the function y = 10 x In(4 x) on the interval [3,7] is О 50.05 O 152.14 O…

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Q: Solving a differential equation using the Laplace transform, you find Y(s)=L{y} to be…

A: We need to find y(t).

Q: x² +2r-8 x² + 3r – 4 + 3r - 4 S(x)

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Q: %24 3 To test this series for convergence 4" 1 7" n=1 You could use the Limit Comparison Test,…

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Q: Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can…

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Q: he cost C (in dollars) of producing x units of a product is given by the following. C = 2.4 x +…

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Q: Give the curve r = 3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line…

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Q: Given the power series n = 0 Find the Integral of the Power Series. 00 2 A, x2" dx = E A x(2n - 1) A…

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Q: Example 2.10.1: Consider the following recurrence equation: T (n) = 2 T(n/2) + b n log n. (assuming…

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Q: Show that the following diff erentia equation i s acomplete differential eguation Then find the…

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Q: Choose the correct answer 1- The circle x + y 1, this mean :- a- C= 0,0. R=2 b- C= 0,0. R=1 c-…

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Q: dy Find by implicit differentiation a. ペt=e4 b. Jxy=xy+| Sinx t 2 cos 2y=I %3D C-

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Q: 2. By definition, the angle of intersection of the two curves is the angle between the two tangent…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x)) You also know that f(9) = 11, f(11) = 2, f'(11) = 2, f'(9) = 8…

A: Solution of question is written in below steps.

Q: Find the normal line for the level surface f(x,y,z) = 3x3 + cos (2y) + ln (2z) = c at the point…

A: f(x,y,z)=3x3+cos(2y)+ln(2z)-c=0Fx=9x2 , Fy=-sin(2y) , Fz=12z×2=1z∇F =&lt;Fx,Fy,Fz &gt;=&lt;9x2,…

Q: Use logarithmic differentiation to find dy/dx. y- + 1(x - 7). (x - 1)(x + 7) x> 7 Step 1 The given…

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Q: The series 5 n 6. n=4 8

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Q: a)Find the arc length of f(x)= In(1+x³), Osx<5 Answer:

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given z1 = 2 - 3i, z2 = 1 - i, z3 = 3 + i; find the following a) z1 ÷ z2 ; b) Z2 Zı ; c) z1? ; d) z2…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2* – x has a critical number…

A: Find your answer below

Q: Question 3 Algebraically compute f'(1) using the definition of the derivative, given that f (x) = x2…

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Q: Test the series below for convergence using the Root Test. n2n (In(n))" n=2 The limit of the root…

A: To solve thsi question we will apply the concept of root test and limit.

Q: separate šhëët. 1. Find the equations of the tangent and normal lines to the curve y = x² + 2x + 3…

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: Lhe y-axIS. a = 10 b = 2 y=ax(x- b Sketch a typical approximating shell. (Do this on paper. Your…

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Q: A. For each of the following functions, find the indicated derivative using the definition. 1. f(x)…

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Q: 2t 3t – 1 Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = 13 1 and 1-t…

A: To verify the product law for differentiation, AB'=A'B+AB' where, At=2t3t-1t31t and Bt=1-t1+t2t25t3.

Q: EXERCISES 2: Find all the local maxima, local minima, and saddle points of the functions 1. f(x, y)…

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