tan r Show that, sin z decreases steadily and increases monotonically in tanr sin z 70 and also 2.

Q: Evaluate the integral by converting to polar coordinates

A: Given, the integral                           We have to calculate this integral by converting it in...

Q: If we let u = then du x2 dx, and so we have x3 cod cos(u)|| COS dx = du.

A: Answer in the box is  -1/2π.

Q: If an object is dropped from a 192-foot-high building, its position (in feet above the ground) is gi...

A: Given data:   The height of the building is h=192 feet. The given expression for the position of the...

Q: Solve the following equation, giving the exact solutions which lie in [0, 2π). (Enter your answers a...

A: Given equation is tan3x=3tanx. Consider u = tan x. The given equation becomes u3=3u.

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at whic...

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Q: For the following exercises, find dy/dx for the given function. (279) y = sin^ − 1 (x^2)

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Q: Solve the right triangle. Find the length of the side adjacent to the given angle. (Round your answe...

A: We have given a right angle triangle.                                    

Q: 1-Graph y=3x2+24x+45y=3x2+24x+45. State the coordinates of all intercepts and vertex. If you have ac...

A: As per our honor code, we are solving only 1st question. Given, y = 3x2 + 24x + 45, we have to graph...

Q: #9

A: Given: (i). The burial cloth of an Egyptian mummy is estimated to contain 59% of thecarbon-14 it con...

Q: f(6 + h) – f(6) Find lim if f(x) = x + 6. %3D h h→0 f(6 + h) – f(6) lim (Simplify your answer. h h→0...

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Q: Factor the following expression COMPLETELY 32x32/9 - 4x14/9 - 15x5/9

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Q: Evaluate the expression log3 38 without using a calculator. If evaluation is not possible, state the...

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Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of lead is 22 years. How long wil...

A: According to the question, we have to find the time for a Lead sample to decay to 80% of its origina...

Q: The function f(x, y, z) = x2 + y + z has an absolute maximum and absolute minimum subject to the con...

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Q: Find the critical points.

A: fx=x2log7x2+2⇒fx=x2logx2+2ln7      ∵logab=logblna Critical numbers are the values of x for which fir...

Q: The government owns a land with an area of 12,150 square meters. 1/3 of it will be used for a picnic...

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Q: Find the differential of each function. (a)     y = etan(πt) (b)     y = sqrt(1+ln(z))

A: given y = etan(πt) we need to find the derivative of the above function dydt=d(etanπt)dtdydt=etanπts...

Q: The question is attached

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Q: Interchange the order of integration and evaluate the resulting definite integral: •y=1 x* sin (y°) ...

A: The bounded region is shown below. From the above figure, the region is bounded by y=0, y=1 and x=0...

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer ...

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Q: what are the range and domain in interval notation for f(x)=(x-3)^2-9

A: Given function is fx=x-32-9. The above function can be written as  fx=x-32-9=x2-6x+9-9=x2-6x Since t...

Q: The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing t...

A: Given  Altitude =1000ft Speed of aircraft 252 ft/sec  

Q: Evaluate the integral. '5 x - 4 dx x2 - 3x - 18

A: We first factor the denominator. ∫-25x-4x2-3x-18dx=∫-25x-4(x-6)(x+3)dx

Q: Factor the following expression Completely: x3 - 9x - 2x2 +18

A: Answer is (x-3)(x+3)(x-2)

Q: Determine the coordinates of the centroid of the shaded area.

A: Area of square A1=side2                        =60mm×60mm                        =3600mm2Area of tri...

Q: How do I solve this?

A: Given: y = x3 + x2 +1 The value of x changes at a rate of 2 units per second. that means x is chang...

Q: q3.4 Find the following limits analytically or state that they do not exist.

A: Answer is 1/2.

Q: Uranium 235 is used as fuel for some nuclear reactors. It has a half-life of 710 million years. How ...

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Q: Please see attached.

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Q: Use the following model for the next two questions: The C(t) of a drug administered to a patient int...

A: a) The given equation Ct=C0ektC0=5 miligrams per milliliterCt=1.5 miligrams per millilitert=10 hours...

Q: Part a

A: (a) (r2 + 1)4 Formula Used: (xn)' = nxn-1  

Q: 10. Consider the function f(x, y) = 4 + x* + 3y* a. Show that the Second Derivative Test is inconclu...

A: (a) Calculate the value for second partial derivatives w.r.t x and y. fx,y=4+x4+3y4fx=∂∂x4+x4+3y4=0+...

Q: Do just part 2,3 and 4 1-Graph y=3x2+24x+45y=3x2+24x+45. State the coordinates of all intercepts and...

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Q: The question is attached

A: m(x)=6x3+72x2+198x-5 Take derivative of m(x) m(x)=6x3+72x2+198x-5m'(x)=18x2+144x+198 Now set the der...

Q: How do you do this problem?

A: x→2+ means x is little more than 2.So, limx→2+f(x)=limx→2+(3x-5)=3(2)-5=1

Q: The measure of an angle in standard position is given. Find two positive angles and two negative ang...

A: Co-terminal angles are angles in standard position (angles with the initial side on the positive xx ...

Q: A box has a length increasing at a rate of 2 in/s, a height decreasing at a rate of 3 in/s, and a wi...

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Q: By computing the first few derivatives and looking for a pattern, find g978 (sin x). dx 978 d978 (si...

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Q: q2

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Q: For the following exercises, find dy/dx for the given function.                              _______...

A: y=cot-14-x2 Apply chain rule to find derivative dy/dx  dydxcot-1(x)=-1x2+1 derivative of inside func...

Q: what is the FV of the investment. Round  to nearest cent. $7,000 for 4 years at 4.75%  annual intere...

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Q: Answer G, H and I

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Q: f(x)=3x2-4x+7

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Q: The question is attached

A: Consider the function: wx=12x5-30x4-60x3-10 To calculate the derivatives of the given function, w'x=...

Q: 1) Let h(x)=x2−6x. (a) Find the average rate of change from 4 to 7. (b) Find an equation of the seca...

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