Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

Q: Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift…

A: To shift the index of the power series use the substitution n = R - 3

Q: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure…

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Q: There is a terribly designed set of stairs. It is not possible for you to step from one step to the…

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Q: Convergence of Sequence. For each of the sequences below, enter either diverges if the sequence…

A: Here we have to find whether the given sequence is converges or diverges.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t+00 4t2 + 5' 8t (?, ?)

A: Find the limit

Q: 3n+1 Σ 6n-1

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: The given function is;  f(x,y,z)=xyz Constraints : x+y+z=16, x-y+z=12.

Q: dx (x2 + 1)(x2 — 2х + 1)

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Q: sin r cos r dr

A: We have to calculate the given integral

Q: ci +jand b = 12i + 9j. Find c so that the angle between a and bis- Let a Round your answers to four…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Given that: Vertices: (3,5), (3,-5);             foci: (3,8), (3,-8)

Q: Evaluate the integral. (2 - 8v3 + 16v7) dv

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Q: d) t2 = 6,t3 = 12,t10 =x %3D

A: Given, t2=6t3=12Aim : to find  t10.We know that tn=arn-1Where a is first term,r is common…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Find the most general antiderivative of the function. antiderivative.) g(u) = 6u + Vū

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Q: The non-homogeneous differential equation P(D)y = cos(2x ) has associated the characteristic…

A: I am attaching image so that you understand each and every step.

Q: Question If 0 < 0 < 2n and 4sin 0 – 4 = -3, determine the values of 0. List your answers as exact…

A: Answer: The solution is as given below:

Q: C. Determine the Laplace transform of the following function f(x) = x2 1. f(x) = e", a E R 2.

A: Solved below

Q: The The Mean-Value Theorem guarantees there is at least one value of c on [-3, 3] such that f' (c) =…

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Q: Suppose that f(1) = 2, f(4) = 8, f'(1) = 10, f'(4) = -3, and f" is continuous. Find the 4 value of…

A: We have to find the value of the given integral.

Q: Q6. The price received from sales in OMR per unit is given by Find: I + x+ *= d i. the revenue…

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Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question. This post…

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y + z =…

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Q: find the domain and Range for the following functions 1) y=/7x-4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The percentage of male workers who prefer a female boss over a male boss increased approximately…

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Q: Activity 1.4.2. For each given graph of y = f(x), sketch an approximate graph of its derivative…

A: For each graph of y=f(x) , sketch an approximate graph of its derivative function, y=f'(x).

Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21, -9)…

A: Given that       f(x) = 7(x-1)2/(x+9)

Q: Evaluate the iterated integral. 5 dy dx dy dx i

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Q: 1. El radio de convergencia de la serie de potencias es (n+1)!

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Q: For the following graph of velocity (not distance) versus time over the interval (1.5, 5), 15 the…

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Q: Preview Activity 1.4.1. Consider the function f(x) = 4x - x². a. Use the limit definition to compute…

A: This question can be solved using the concept of limit definition of derivatives.

Q: Solve the following equation. (x+4)2+11(x+4)+30=0 List your answers separated by a comma. For…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 3, 27)…

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Q: sin sin tdt J (4tcos cost)

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X-00 f(x) = -x° + x +x…

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Q: 3. (LO 4 & 5) Suppose we know that: § f(x)dx = 3.5 and g(x)dx = -2.1 Use this information to find:…

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x = u + v)…

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Q: Solve the initial value problem. dv = + x, x > 0; y(1) = 5

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Q: Keith is flying two kites. He has 100 feet of string out to one kite and 110 feet out to the other…

A: From the given information, we have to find the distance between two kites.

Q: 1

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Q: dx а. 3 x²(9x² – 4) .2 -

A: The integration of the integral is 1/[x2(9x2-4)3/2].

Q: Use sigma notation to write the sum. 1 +. +. 9(1) 9(2) 9(3) 9(11) 11 Σ i = 1

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Q: 32 2 The series 3 8 + 33.3 128 is equal to ..(Correct to 3 decimal places) +... ..... 35.5 37.7

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Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: An evergreen nursery usually sells a certain shrub after 9 years of growth and shaping. The growth…

A: topic - differential equations