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Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: Find the derivative of y = e² tan¯¹(x) е

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Q: find the area of the region Common to the Cardioid r=1+ Cos B & rs 1- Costo

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Q: The area below the graph of f(x) = and above the x-axis, on the interval [0, 8], is to be rotated…

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Q: Given f(x) = |x+6| Find: lim X-5- f(x)

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Q: Use Lagrange multipliers to find the points on the cone z² (x, y, z) = smaller z-value larger…

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Q: following problem. Find only an appropriate Green's function for the y"(x) + w²y(x) = f(x), 0 ≤ x ≤…

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Q: 2) Find the value of a and b such that the function f is differentiable everywhere. f(x) = Jar³, x²…

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Q: 27. (u + 2)(n-3) du 29. f. 2+² dx 28. f*(4-1)√1 dt 30. f²₁ (3u-2)(u + 1) du

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Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

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

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: C(x) = 0.04x^3 +0.02x^2 +30x +90, 0< x < 1500, a = 1000The marginal cost function is the first…

Q: Correct. Use the ratio test for absolute convergence to determine whether the series converges or…

A: Series Ratio Test:For series of non zero numbers   with

Q: a. SET-UP only the definite integral using disk/washer method that will give the volume of the solid…

A: To set-up only the definite integral by using disc/washer method that will give the volume of the…

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: Topic : limits and continuity

Q: Find the slope of the tangent line to x³sin y + y - 4x = 3 when x=0.

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Q: 19-38 Evaluate the integral.

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Q: Given f(x)= (a) lim f(x) 4-6- (2-3x x 6 (b) find each of the following: lim f(x) x-6+ (c) lim f(x)…

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Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x,…

A: We have,    f(x) = √(x2 + y2 + z2 )Point: ( 6 , 2 , 9 )

Q: 7. The vertical displacement of a SUV's body after running over a bump is modeled by the function…

A: To find the maximum displacement of the SUV's body during the first 5 seconds, we need to analyze…

Q: Find a) any critical values and b) any relative extrema. t(x)=x³ + 10x - 3

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Suppose f(x) and f'(x) have the values shown. X 0 1 2 3 f(x) 10 8 9 7 f'(x) 7 8 6 4 5 4 3 لا Let y³…

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Q: 29 J2 1 √√x-2 dx.

A: Whole solution is given below.

Q: [.. I (x2+4)2 da First we will do the indefinite integral I S da (x²+4)2 (a) Use the substitution =…

A: We solve this integration problem by using general property of integral.

Q: Evaluate the integral. (Use C for the constant of integration.) 5 dx 49x² - 1 √x².

A: The given integral is:

Q: A 9-ft pendulum swings through an angle of 40° 36'. What is the length of the arc that the tip of…

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Q: Find the indefinite integral using the substitution x = 4 tan(8). (Use C for the constant of…

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 4. Vertical cross sections…

A: We need to find area of rectangle.

Q: 3. Show that Hence find x¹ - x² + √√x X x³ = x+x==²= P - [ 2² = 2² + √² dr. X

A: We need to perform integral.

Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

Q: (8) Find y' using implicit differentiation method: Sin(y) =sin(x) cos(y) + 4

A: To find

Q: 4. Given two unit vectors, m and ñ, and the angle between these two vectors is 70°, calculate (6m +…

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Q: Let 0= cos(-) where 0≤. Find the exact value of 0.

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Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is…

A: The radius of each helix is about 10 angstroms(1 Å = 10–8 cm)Each helix rises about 34 Å during each…

Q: State the range for the function f(x) = -e* + 2:

A: Find range and choose the correct option

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: The given integral is (2x3-12x2-79x+11)/(x2-6x-40).

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: d'y dx² when x = 2 and y = 4. If 4x² + y² = 32 then evaluate (Answer accurate to two decimal…

A: Given:We are required to find:

Q: Suppose that f(x, y) = 2x² + 2y² - 2xy Then the minimum is

A: Given the function is:f(x,y)=2x4+2y4-2xy

Q: Q1 Suppose g(2) = 3 and g'(2) = = -2. then find the following. 1) If f(x) = (x² + 3)g(x) + g(2) find…

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Q: Find the area under the graph of y = -x² + 4x on the interval [0, 2]. 1 4 3 2 1 ISH|| 5 4 3 -2 -114…

A: y= -x2+4xWe have to find area under the graph of y on the interval [0,2]

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If v doesn't…

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Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

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Q: Find an equation for the circle of curvature of the curve r(t) = 7t i + sin(5t) j at the point 5 y =…

A: Solving the problem

Q: Evaluate the integral. (Use C for the constant of integration.) 25dx 25 + ex

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Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit is $10…

A: (a) The statement "P(3000) = 60000" means that when 3000 units of the commodity are sold, the…

Q: 3. Find the equation of the line or plane a) Plane parallel to the lines r= (1,2, -3) + t (-1,0, 4)…

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Q: /2 31. [/² esc 1 cott dr 33. f'(1 + r)' dr 32. [csc²0 de -S²² ²+1 ds 34.

A: We have to Determine the value of integral.

Q: 6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0,…

A: Solving the problem

Q: Question 1 Let 0 = cos ¹(-) where 0 << T. Find the exact value of 0. Question 2 Let 0 = tan-¹(-√2)…

A: Question 1:Here we have a inverse trignometric function as given below:Now, solving it further we…