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Q: 9) A spherical snowball is melting in such a way that its volume is decreasing at a rate of 3cm / mi...

A: Let, r=radius V=volume Given that dV/dt= 3 , we have to find dr/dt=? at r=12 cm Volume and radius o...

Q: Oxygen-19 has a decay rate of 2.62% per second. The rate of change of an amount of N of oxygen-19 af...

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Q: How to solve #5

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Q: Use 7.3 half angle formula to find sin θ/2 when tanθ=- 3/4 and 90<θ<180

A: Given: Now,

Q: Let y=3sqrt(x)Find the change in y, Δy when x=5 and Δx=0.2 Find the differential dy when x=5 and dx=...

A: Given function is Change in y is calculated as follows. when x=5 and Δx=0.2

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | x³ sin(x*) dx

A: Let’s put u = x4 and then solve the integration:

Q: The area of a square is increasing at a rate of 30 centimeters squared per second. Find the rate of ...

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Q: find the general solution of the given differential equation. y(8) + 8y(4) + 16y = 0

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series ...

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Q: A certain strain of bacteria divides every 5 hours. If a colony is started with 20 bacteria, then th...

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Q: AutoSave ff Document3 - Word Tran Manh Hung TM File Home Insert Design Layout References Mailings Re...

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Q: Find the linear approximation to the following functions at the given point a. Then use the linear a...

A: Given function

Q: Pre cal How to find a simplified expression in terms of x with the help of a reference triangle. (Wi...

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Q: Show that the derivative of f(x) =xln(x)−x is ln(x). Use this to compute∫ln(x)dx.

A: Sum/difference rule of differentiation,

Q: 5. Calculate the area of the region enclosed by the graphs of y = 2r- r and y = 0.

A: We first find where they meet Plug y=0 in y=2x-x2 and solve for x

Q: Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X...

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Q: Find dy/dx and d^2y/dx^2.

A: Find dy/dx.

Q: Solve using binomial expansion (1 + i)20

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Q: 4/16/2020 11. Find the critical points, domain endpoints, and local extreme values for the function....

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Q: (a) You are given the point (1, T/2) in polar coordinates. (i) Find another pair of polar coordinate...

A: Part(a)

Q: Find the given definite integral by finding the area of an appropriate geometric region. Round your ...

A: The given integral

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: For the Taylor series expansion, first calculate f'(x), f''(x), f"'(x) and so on. calculate each der...

Q: Compute the derivative of the given function in two different ways. x³ + 8x? h(x) = бх? g f' – f • g...

A:

Q: The graph of g consists of two straight lines and a semicircle. Evaluate each integral by interpreti...

A:

Q: evauluate the limit lim x→0 (sin2 (3x))/ x2

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Q: determine the indicated roots of the given complex number. (2(cos π/3 + i sin π/3))1/2

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x2 ...

A: Let u=x^3 + 15 find du/dx and substitute in the integral.

Q: Evaluate the definite integral 2x dx in two -3 different ways: (2a) as a net area. Sketch the functi...

A: From the above graph, the net area is area from 0 to 1 = 1 area from -3 to 0 is -9. So net area = -9...

Q: Can you answer question #2 on the image and the three associated other parts on the question as well...

A: Given: circumference of a tree

Q: Find dy/dx and d^2y/dx^2.

A: Given

Q: •15 •11 •15 Let ,° f(x)dx = 7, " f(x)dx = 10, Si f(x)dx = 3. 13 Find S" f(x)dx = and S(7f(x) – 10)dx...

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Q: In(x) (1 point) Find dy/dx using the method of logarithmic differentiation when y = (5+3x²)**. dy/dr...

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Q: Use a left sum and a right sum with rectangles of equal width for the given value of n to approximat...

A: a = 1, b = 21, n = 5 Hence the width = Δx = (b - a) / n = (21 - 1) / 5 = 4

Q: #3

A: To Determine: Suppose given that a piece wise function : ...

Q: Consider the function f(x) = 1 – 6x² on the interval - 6, 3]. Find the average or mean slope of the ...

A: Given, f(x)=1-6x2 ; [-6,3] f(3)=-53 f(-6)=-215 Hence the mean slope of the function on the given in...

Q: A road perpendicular to a highway leads to a gas station located 7 miles away. A car traveling on th...

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that dx = -5....

A: Since, we only answer up to 3 sub parts, we will answer the first 3. Please resubmit the question an...

Q: A rectangular bin is going to be made with a volume of 646 cm3. The base of the bin will be a square...

A: Given that the base of the bin will be square so, the sides of the base will be same. Suppose the ba...

Q: If f is a differentiable function, find an expression for the derivative of each of the following fu...

A: Consider a function f(x) which is differentiable. Find derivative of the following

Q: Name: eveal variaes 3. A company produces a product for which the marginal cost of producing x units...

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Q: Find the average value of a function over an iterval Quëstion Determine the average value of g(x) = ...

A: Given function

Q: #9

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Q: A corporation wants to lease a fleet of 15 airplanes with a combined capacity of 300 passengers. The...

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Q: Separate variables and use partial fractions to solve the initial value problems in Problems 1-8. Us...

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Q: Find the mass of a wire that lies along the curve r(t) = (t2 - 1)j + 2t k, 0<=t<= 1, if the de...

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Q: Interpret the meaning of f ' (55) = 8 . A) 8 is the rate of change in people B) 8 is the total chan...

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Q: 20.t2y′′+3ty′+y=0,t>0;y1(t)=t−1

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Q: (a) Find a power series representation for f(x) (5 + x)2 " f(x) = > n = 0 What is the radius of conv...

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Q: AutoSave ff Document3 - Word Tran Manh Hung TM File Home Insert Design Layout References Mailings Re...

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Q: Find the absolute extrema of the function on the closed interval. y = x In(x + 9), [0, 3] minimum (x...

A: Absolute extrema exists at a point where first derivative is zero or at the end points of the given ...