8. 2. 3.

Q: A spherical tank with radius R=5m is used to hold water from a small village. The volume of water in...

A: For finding root 'xn' of continuous function fx, such that xn∈a,b , so that fa·fb <0Step 1: x1 = ...

Q: When running a 100 meter race Shane reaches his maximum speed 7 seconds after the race started when ...

A:

Q: Solve the following Pfaffian differential equation (x?y – y3 – y²z)dx + (xy² – x³ – x?y)dy + (xy² + ...

A: Given :   (x²y – y3 – y²z)dx + (xy² – x³ – x²y)dy + (xy? + x²y)dz = 0We need to substitute: x = uz a...

Q: 2. Let f(r) = e2r - e. (a) Give the domain of f(r). Domain: (b) Give f'(r). f'(r) = (c) Find any cri...

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost ot...

Q: c)  State the domain and range of the function obtained in part a)

A: We have to find

Q: q° + 290q? and its cost function is given by ppose a company's revenue function is given by R(q) (q)...

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Q: Consider a rational function f(r), given by

A: if  m < n  degree of numerator  < degree of denominator Horizontal asymptote y = 0 ( x axis )

Q: Consider the function f(x) = x cos x. Out of all the many tangen lines of f(x), determine the one th...

A: Here in this question we need to find out the tangent line which is parallel to the line y = π(x + 1...

Q: (2x³ – xy² – 2y + 3)dx – (x²y + 2x)dy = 0

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Q: The general formm of an equation is r+y-+3y+1%3D0. What is the equation of the circle in standard fo...

A: Using general & standard form of circle 

Q: Find the differential equation of the the following family of curves All straight lines at a unit di...

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Q: O R is the region bounded by y = 2 – x² and y = x² – 6. - %3D

A: 5.)  y=2-x2  and  y=x2-6 red line y=2-x2 blue line y=x2-6  

Q: 3. Sove: e* (p-1) + e4 p =0, dy where P= ada 2. %3D Hint! Let u= e* and = e29 given equation to a Cl...

A: Given the differential equation 

Q: dy (2х-10y° 2+y=0 dx Solve

A:  

Q: 23. State two applications of logarithms.

A: Generally used in calculating small values

Q: The velocity of an object v, in meters per second, is measured every 15 seconds. | (seconds) 0 15 30...

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Q: 10. Find the volume of the solid of revolution formed by rotating the region enclosed by the curves ...

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Q: Let C be the curve y = 2/r for 1.3 <x < 3.2.

A: Given that: y=2x

Q: Consider the function f(x) = x cos x. Out of all the many tangent lines of f(x), determine the one t...

A: Topic - application of derivatives and tangent equation

Q: The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (i...

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Q: A drug is injected into the bloodstream of a patient through the right arm. The drug concentration i...

A:

Q: tangent lines at points P, P2, and P3, state whether the slopes are positive, zero, or negative at t...

A: We have to find

Q: In each of the following, find the area A(R) of the region R described below. O R is the region boun...

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Q: Given f(x), select which answer corresponds to the interval (0.5, infinity) 5- -1 On the interval (0...

A: graph of the function is given, we have to find its behavior

Q: Determine whether the given differential equation given by 3y (x? – 1)dx = -(x³ + 8y- 3x) dy is exac...

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Q: Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same h...

A: Find the partial derivatives.

Q: 1995, the average number n of transistors on a computer chip can be modeled by n = 2,300(1. 59) wher...

A: We will solve the problem 

Q: Show that the region bounded by y = 2 cos x, y = sin x, 3/2 -1. x = 0, x =- has area 2

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Q: For the quadratic equation y=-2x^2-2x+7:   Task 1: complete the square of the quadratic equation t...

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Q: Find /36x dx O 6x/xdx O 5 3 O None O 4x/xdx

A: We have to find

Q: 23. 3y(x? – 1) dx + (x³ + 8y – 3x) dy = 0; when x = 0, y = 1. ANS. xy(x? – 3) = 4(1 – y²)- |

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Q: Consider the function f(x) = e2x. Out of all the many tangent lines of f (x), determine the one that...

A: Topic;- application of derivatives

Q: f"(x) = (e) Give f"(r). (f) Find any possible points of inflection of f(r). Possible points of infle...

A: Topic = Functions As per our guidelines , at a time only three sub-parts of a question will be answe...

Q: R is the region bounded by y = 4 – x² and the x-axis and it is revolved about y = 4. Sot un the inte...

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Q: 3 sec u du = ln | sec u + tan u + C

A: Given the function 

Q: 2. Use L'Hopitals's rule to find lim (-).

A: Given that: limx→0+1x-1ex-1

Q: Time left 97:05 In(5z 9) Find the derivative of the function f(x) = x* sin(6x + 14) + Answer:

A: The solution of the given problem is:

Q: dy — ху — 4х dx

A: Given differential  equation dydx=xy-4x

Q: [2 Let A= 1 -2 -1 Find A-1 [2 3 Example(14) (H.W) -1]

A: Ti find the inverse of the given matrix A, where A=2301-2-120-1 Here, note that the inverse of the m...

Q: Find the acceleration of an object for which the displacement s (in m) is given as a function of the...

A:

Q: After t years the value of a car that originally cost $28,000 is given by V(t)=28,000(0.75)^t A) use...

A: Given the value of a car after t years is  V(t) = 28000 (0.75)t

Q: 9. Sketch the graph of the function 8(x) = g(x)= x+2 using the curve-sketching guidelines. Domain: х...

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Q: 3. 2.m (ris, t)= e cos (25) y= h(ris, t)- e sini (s) %3D + そ人メ+ (てん「以) =1 け! ne Use chain rule to fi...

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Q: Paove that b the total ditfesential equation Po) de +Q d y + R)d2=0N Integaable it and only it dR-dp...

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Q: rove that the given first order ordinary differential equation (2x – y) dx – (x – 2y) dy = 0 is an e...

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Q: Evaluate / xcos2xdx xsin2x cos2x + c 4 2 xsin3x + 4 cos3x 2 sin2x cos5x + 4 + c O win2i + costx + c ...

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Q: 10. Evaluate , (2x – y) dA where D is bounded by the circle with center the origin and radius 2.

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Q: Evaluate the derivative of the function for the given value of x. Check the jesult using the c ve ev...

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Q: Question 1-1 Which value is not a zero of f(x) = r³ – a? – 4x + 4? го O -1 -2 2.

A: We have find the answer checking the option 

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A: