4x5-3x2+2x-1 Solution of lim is .... x→∞ 5x3+14x²-7x+2

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Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

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A: We have to calculate the given integral

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A: 1. dydt=ky and k is nonzero constant.2. dydx=cos(2x)

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Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: Question Determine the magnitude and direction of the vertical shift and the phase shift for the…

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2.

A: Explained below

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Q: mit Comparison Test. a conceptual problem that will help us determine when the limit con e value of…

A: We have to find the following conditions according to the given information

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

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Q: If f(x) = 4° + 81log4x. then = f'(2) (Answer accurate to 2 decimal places.)

A: Given  f(x) = 4x + 81 log4x We have to find f'(2).

Q: Consider the ellipse with the given characteristics. foci: (0, 0), (0, 10); major axis of length 18

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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: Evaluate the double integral where D is the region bounded бy у %3Dх, у%3D2х, х%3D1, х%3D2- 4ху dA

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: (10re", 2.r3 + 3.r² – 12.r, r>0 I<0 Given: ƒ(x) (a) Identify all critical numbers of f. (b)…

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Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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Q: Consider a triangle where A = 30°, a = 1.8 cm, and b = 1.3 cm. A C (Note that the triangle shown is…

A: topic - Law of sines

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A: Given fx, y=4e3x ln y, with x=lnu cos t, and y=u sin t.To determine the correct value of ∂z∂u…

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Q: Check if the following series are convergent or divergent. ∑∞n=1=1/kn, k>1…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Find the coefficient for x' when |V1+ x° dx is expressed as a power series. -1 256 -1 64 1 56 120…

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Q: A tank contains 180 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Let the amount of salt in grams at time t be A(t)We have given the initial amount of salt in grams…

Q: 5. y = Arctan²(x³) 2х-1 6. y = Arccos 3x+1/

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Q: (-1)"n" sin" () Σ 2n n=1

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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

Q: Let an = n> 1. In(2" + 1)' 1. Determine if the sequence {an}1 is convergent or divergent. 2.…

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Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

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

Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: The tanh (2x) sech (2x) dx is equal to sech? (2x) sech (2x) -2*) O A. 1 +C 2(e2 +e 3 10 B. tanh6…

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A: This question can be solved using the concept of acceleration, velocity and displacement in terms of…

Q: sec (t) – 1 sec2 (t) Simplify to an expression involving a single trig function with no fractions.…

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Q: A radioactive substance decays according to A=A0e^−0.0037t, where A0 is the initial amount and t is…

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Q: 2. A rock thrown upward has a height given by s(1) = 49t-9.81 where s is in meters and / is in…

A: Use derivative to solve

Q: s given by Archimedes be the volume of the object, p the weight density of water, and g the…

A: Follow the procedure given below.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. (100,² + 1) – 352 10 ti + t*j dt

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Q: Suppose (2,1) is a critical point of a function f (x,y)· If D=4x – 5y and f=x+y, XX classify the…

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