Differentiate the following: (a) x² cos(cos(x)) (b) eesin(x)

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: an = 2n + 5 245) 4n+1

A: First, let's consider the limit of the sequence as n approaches…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 4 f(x) = x +-…

A: Critical point of the function is the value of the function at which derivative of the function is…

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

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Q: 7. u = (2, 2), v = (2, −2) 8. u = (2,-2), v = (−2, 2)

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Q: Given that (fog)(x)=x-8, which are correct rules for f(x) and g(x) that result in this composite…

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Q: Evaluate the following integral, S yx² ds where C is given by y x5 for 0<x< 1. =

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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Q: út 3 7 2 < X < 7 7 2 3 ||a The function graphed above is decreasing on the interval LO The…

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Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: If f(x) x = [²₁ 1 = = then ƒ'(x) = ƒ'(−2) = tadt

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Q: Solve the following differential equations using HOMOGENEOUS DE. Show your complete 3. (x²y + 2xy² -…

A: The given differential equation

Q: Evaluate the integral. +C 2x + 9 x² + 6x +34 17 -da

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal…

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: To state the order of the given ordinary differential equation. To determine whether the equation is…

Q: f(x)=x²8x² + 5

A: f(x)=x4−8x2+5

Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

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Q: Express 0.132 as a geometric series

A: The given number .The aim is to write the number as a geometric series.

Q: Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

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Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

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Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: Compute the average rate of change of the function on the given interval. g(x) = x³ x on [4, 5] -

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Q: 3 Use algebra to find the point at which the line f(x) T- 4 59 6 h(x)= - Y 4 3 C Write the values of…

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Q: PROBLEM No. 2. Solve the following differential equation by the method of undetermined coefficients:…

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Q: ind the limit if it exists. lim (12x+11) elect the correct choice below and, if necessary, fill in…

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Q: Let f(x) = Then f'(x) = π The equation of the tangent line to y = f(x) at a = can be written in the…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: The equation of a line through the origin that makes an angle a with the positive x-axis is  = aThe…

Q: Solve the following non-homogeneous differential equations: x" (t) + x(t) = 2 cost 1) -X 2) y"+2y+y…

A: The given differential equation is; x2y''-2xy'+2y=xlnx

Q: 1) fx²e-³x dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 5. Find the outward flux of the field F = xzi+yzj+k across the surface of the portion of the sphere…

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Q: Find dy/dx by implicit differentiation sin y = x^3 + y^4

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Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = 4x + 6y; z = -2,…

A: Consider the function

Q: Find the derivative  a. y= ln(cos^2x) b. y= e^cosx+e^-x

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Q: Estimate f (5.06) for f as in the figure. y=f(x)/ ƒ (5.06) ≈ (4,2) (10,4) Tangent line X (Give your…

A: The figure is given as,Estimate

Q: Given the following integral and value of n, approximate the following integral using the methods…

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Q: Find aw/as and aw/ât using the appropriate Chain Rule. Values Function w = y³ - 2x²y x = es, y =et S…

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Q: Find all critical numbers c of f(t) = 3t²/³ +t5/³.

A: f(t)=3t2/3+t5/3

Q: Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have…

A: The given function isTo find,f(2.1, 0.8)

Q: Compute the following limit using L'Hospital's rule if appropriate. lim (√2³-42² - 2) = I->∞0

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: The given graph

Q: Use the tangent line to the curve  x7 + y2  =  x + y  at the point (1, 1) to approximate the…

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Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the…

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Q: Find f'(t) if f(t)= -2t² - 8t+7. f'(t) =

A: We need to find out the derivative of the given function.

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = 4(x - 5), (6, 1) y…

A: The tangent to a curve at a point is obtained by finding the slope at that particular point using…

Q: Find the indicated derivative. dy ax for y=x® |ě

A: we need to find out the derivative of the given function.

Q: The following integral is an improper integral. ( Explain why it is improper, (b) determine whether…

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