5x3 — 6x2 + 7 1. lim 8x2 — 15х3 х — 1 2. lim х--о х3 — х2 + 2х + 4

Q: On a spring day the temperature in degrees Fahrenheit is given by ? = 50 + 1.2ℎ, where ℎ is the numb...

A: T = 50 + 1.2 h  .....(1) where h, is the number of hours since noon. h = 0T = 50 + 1.2(0)TInitial = ...

Q: Solve the given differential equation by undetermined coefficients. y" – y = x2ex + 7 y(x)

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Q: Xy +Sx+5?= 2

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Q: pxp XA

A: Explanation of the answer is as follows

Q: Find the general solution of the given higher-order differential equation. у" — бу" — 7y'%—D 0 y(x) ...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: dy 1+ sin 4y

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Q: F(x) = / sec(1 + r*) dt. sin(x)

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Q: We want to construct a rectangular box, with length x, depth y, and height x. The material used to b...

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Q: et/2 f(t) attains its local or absolute minimum value(s). The minimum(s) are t =

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Q: 1. For the rational function g(x)= x'+7x+12 r+x-6 (a) Explain why x=2 is a vertical asymptote. (b) E...

A: Explanation of the answer is as follows

Q: ydy +4y+11

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Q: 15* – 4* lim sinx O In(60.00) O In(3.75) O In(11.00)

A: Solve the given limit question

Q: Find the maximum and minimum values of g(x) =1+ x + x2 + x³ + x4 + x on the interval [0, 2].

A:

Q: A software company estimates that the number of copies x, measured in thousands, of its new applicat...

A: The given data is: 2px2+3px=52,000 To find dpdx.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.            Numerato...

Q: " sin²(x) + sin(x) xp- cos²(x) To evaluate the using basic formula of integration (without using sub...

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Q: 102! can be simplified to without use of a calculator: 99!

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Q: fly(x)) c? Vx U= x)こ

A: y=e3x U=g(x) y=f(U)

Q: If a linear function has the points (4,1) and (9,9) on its graph, what is the rate of change of the ...

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Q: If then |A|=1 O JA|=-1 O |Al=0 O

A: Follow next step

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

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Q: csc h5B- coth 5B

A: ∫cschax dx =-1acoth (ax) +C ∫csch (x) .coth (x) dx = -csch(x) +C

Q: (a) Find all the zeros of the polynomial function P(x)=x² +6.x+ 20. Use a graph to help get started....

A: Explanation of the answer is as follows

Q: Let ​h(x)=​f(g(x)), where f and g are differentiable on their domains. If ​g(−1​)=2 and g′​(−1​)=7​,...

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Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: Use the appropriate limit laws and theorems to cletermine the limit of the Seauence. an=In/ 8n?+ 2nt...

A: Follow next step

Q: Let f(x) = (x – 1)-2 Show that f(0) = f(2) but there is no number c in (0,2) such that f' (c) = 0. W...

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Q: on 3.2 p. 283/285 # 90 pute the following integrals using the guidelines for integrating powers o no...

A: Please refer to the image below

Q: Evalute Hhe following itegrals. 2. 2X-ツ e. dydx 2) dxdy 1.

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Q: 31 sing -Cony) o Cosy

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Q: Consider the functions z = 6 e* In y, x= In (u cos v), and y =u sin v. Express dz as a function of u...

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Q: 3 115 Find the average value of the function f(x)=sin“ xcos°x over the interval -7,7|.

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Q: larger slope y =

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Q: Let p be a polynomial of degree n and let E = { x | e^x=p(x)}.   Prove that the number of elements...

A: Given:   E = { x | e^x=p(x)}         E ≤ n+1 

Q: x – 6 f(x): x + 2 Find the interval(s) over which f(x) is increasing. f(x) is increasing for x in

A: Given query is to find the the interval where f(x) is increasing.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) = 4x...

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Q: Suppose a company's revenue function is given by R(q) = - q* + 340q² and its cost function is given ...

A: This question is related to price and cost functions, we will solve it using differentiation. 

Q: Find and equation of a) the tangent plane and b) the normal line to the given surface at the specifi...

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Q: 3 dx xV9- (In x)2

A: Let's find. 

Q: Suppose for a particular commodity, ɛ = .33 and that currently 40,000 units are selling for $10 each...

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Q: To solve the integral sin 60 v cos 60 d0, rewrite the integral as 2 sin 60 V cos 60 sin 60 d0. Use t...

A: Use, sin2(t) + cos2(t) = 1         sin2(t) = 1 - cos2(t)

Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x + y + ...

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Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height a...

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Q: dy Find given y = dx uv and u = 4x² – 5x +2 and v = 4x² – 5x – 7

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Q: Find the area of the region that lies under the graph of f over the given interval. f(x) = 2 - 2x^3...

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Q: 1_dx -1 1-x The integral is an improper integral.

A: We can find the integral as below

Q: Find the volume V of the described solid S. The base of S is an elliptical region with boundary curv...

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A: Given:       ∑k=1∞1kk+2  The series converges. Rewrite the term:       ∑k=1∞1kk+2=∑k=1∞-12k+2+12k