Find the partial sum Sn  of the arithmetic sequence that satisfies the given conditions. a = -45, d = 18, n = 17 S17  =

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: Given

Q: Determine all critical points for the function, and Inflection points if they exist. f(x) = x3 - 6x2…

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Q: )find dy to yalog,o(3X+1)

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Q: Problem 2 Find the values of x for which the series converges. Find the sum of the series for those…

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Q: 4+6 n i) The sequence {- -} is bounded by 6 n <n< ii) The 20 th. element of this sequence is

A: We can solve as follows

Q: Question Given the triangle below, find the angle 0. 19 10 Give your answer in radians rounded to…

A: We have to find angle theta in radian

Q: Solve the initial value problem 16y" – 24y' + 9y = 0, y(0) = 3, %3D y'(0) = 5. y(t) = How does the…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Find the radius of convergence, R, of the series. R = Find the interval, I, of convergence of the…

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Q: Consider the geometric series 2n +1 Σ 15 (-3)" n =0 a) : What is the first term of the series First…

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Q: Use the simple interest formula to determine the missing value. p= $968.97, r= 6.5%, t ?, i=$188.95…

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Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y= 11 x,…

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Q: Differentiate. Use the correct notation to label your answer.gniho008 20 PaRo ai brs abuos Jool ai…

A: Given problem:- f(x) = log5(xex)  To find:- Derivative of f(x)

Q: 6. Solve the following equations for the unknown: i) 4 3n = 32 ii) log2(y +1) + log:(y– 1) = 3 iii)…

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

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Q: sin(nx)dx |sin(nx)dx (xcos(nx)dx

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Q: Use the graph of the function to answer the each question 1. limr-0-f(x) = 5- 2. lim,o+ f(x) = 4 3.…

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Q: Question Given the triangle below, find the angle 0. 0. 10 9. Give your answer in degrees rounded to…

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Q: (a) 1+2+4+ 8+16 + 32 (b) -1+2- 4+8 – 16 +32 4 16 (c) 64 256 5

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Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: 3. %3D Find an equation of the hyperbola that has foci at (0, - 15) and (0, 15), and asymptotes y=…

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Q: A manufacturer can produce at most 100 units of a certain product each year The demand equation for…

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Q: |2| ex dxdy = 2 y The integral 4 4 Select one: True O False

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Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)

Q: Estimate the instantaneous rate of change of the function at x = -2. 2 (2, 0) -4 4 -2 -4 (-3, –5) a)…

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Q: Plot the following functions over the defined

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Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal…

A: We need to find ∆y and dy

Q: The double integral R f(x, y) dA over the region R = {(x, y)| – 2 <x< 2, x² – 8 < y < -x²} can be…

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Q: 2. y = x+2 sin r, 0<x <T

A: To determine the area of the region bounded.

Q: Determine all critical points for the function. f(x) = (x - 4)³

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Q: (a) Find the derivative of the function f(x) = ex-1

A: Note: As per company policy we are supposed to solve only one question. So, kindly repost other…

Q: The result of the following double integral is 2 2 у ST (6 x² y - 5 e)dxdy= ? 0. -2 y 909 -20e? +…

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Q: e SİY

A: answer is in next step

Q: Find the integration 3x2 - 8x +13 xp. x3 + x2 -5x + 13

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Q: Find the angle 0 shown in the right triangle below. 10 Give your answer in radians and rounded to…

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Q: 6. Use identities to show the following statements are true. sin x cos x tan x =1-cos?x a) b) ,sin x…

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Q: can

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Q: Use logarithmic differentiation to find the derivative of the function. y = (sin(6x))*

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Q: Find the second derivative of the function. g(t) =  7 8t6

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Q: Test the series below for convergence using the Root Test. 3n 6n + 2 n=1 The limit of the root test…

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Q: Given the differential equation y' = x2 + y? Take the Implicit Derivative of this function 2 times…

A: Given, the differential equation                                    y'=x2+y2 then take the implicit…

Q: A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the…

A: Let's find.

Q: Find the gradient of the function at the given point. g(x, y) 6xey/x, (1, 0)

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Q: A model for the height h (in feet) of a Ferris wheel car is  h = 70 + 70 sin(4?t),  where t is the…

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Q: After a new firm starts in business, it finds that its rate of profits (in hundreds of dollars per…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use co…

A: This question can be solved using the concept of ratio test.

Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: find the critical points of the function f(x)=x-1x2+4

Q: Hw.4 squar bare, If base side is measured with ekror at consider aClosed Kectangutar box with a and…

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