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Q: 1. A spherical balloon is being inflated so that the volume is increasing at the rate of 5 ft.³ per ...

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Q: Find the area of the region below y = x² + 2x 4 and above y = 3 for 2 < x < 5. %3D Area

A: Recall:            Area=  ∫abf(x)-g(x)dx  We have, f(x)=x2+2x-4, g(x)=3, a=2, b=5

Q: Find the radius of convergence R of the series. 2" (x + 7)" 00 Σ n = 1 1 R = Find the interval of co...

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Q: The antiderivative of the function f(x) 2 + 7x is_ %3D 2 + 3.5x? + c -7 + 1.0x² + c 2 3.5x² + c -2 +...

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Q: Rewrite the polar equation r = 3 cos(0) as a Cartesian equation.

A: Put x= r cosθ   and y= r sin(θ) then    r2 = x2 + y2

Q: In a super Store the supply and demand equations for a particular kind of coffee are given by Suppl...

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Q: line

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Q: 1. Let f(r) cosh(r) and a = 2. Let h = 0.01 and approximate f'(a) using forward, backward and centra...

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Q: Find the derivative of y = elanx

A: Given:- y = etanx To find:- Derivative of y

Q: Let F =(-}u, ju). Let C be a simple closed curve in the plane, with its positive (counterclockwise) ...

A: Solution.

Q: Given the differential equation y''-y=x and using variation of parameters: a. What is the complement...

A: Use differential equation rules

Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and r = 4 1 – 4x²' NOTE: Ent...

A: Just I have set the integral for area and easily find the required Area enclosed by the given graphs...

Q: 1 -de 17 Vīo O vỹ O o o O

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Q: find LF (S+3)(s425+2)

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Q: 1 = xp- O v9 O VīO O V7 V6 V8

A: We have to find value of given integral.

Q: Consider the following nonhomogeneous linear system: xi = 2x1 – x2 +t² X2 + x2 = 3x1 – 2x2 + t - 5. ...

A: Here is the solution of the given system of Linear differential equation. 

Q: Find the area of the largest isosceles triangle inscribed in a semicircle of radius 10 feet, the ver...

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Q: Convert -3-6into Polar form, r (cos(0) ti sin (@); (cos(e) t isin (6))

A: We have to convert the given number into polar form.

Q: Find the area of the region enclosed between f(x) = 0.8x+ 10, g(x) = x, x = -7, and r = 8 Area =

A: Given, f(x)= 0.8x²+10 g(x)= x x=-7 and x= 8

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 8t dt 8t + 5

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Q: Use the areas shown in the figure below to find the following. y y = f(x) Area =1.3 Area =0.7 a b /c...

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Q: d.x

A: We have to find the value of the given integration

Q: atbi form modulus argument 24-8: -4 -4:

A: We have to find modulus and argument of the given complex number.

Q: Write a polynomial function with the given zeros and their corresponding multiplicities. There are m...

A: Given:   Zeros | Multi.   -6 | 2    8 | 2     2 | 3   

Q: Find the average value of f(x) = - over the interval [2, 5]. (5x2 + 1)2 Enter the exact answer. fave...

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Q: length of the curve estimate to the nearest hundredth  use measurements 8,10,12, or 14 feet

A:  Let f(x) = e^0.5x

Q: Let f be a function that is twice differentiable over an interval I. If f"(x) > 0 for all z e I, the...

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Q: Solve 6 cos (z) + 7 cos(z) + 2 = 0 for all solutions 0 <I< 27. Give your answers as values accurate ...

A: If ax2+bx+c=0 is given then , x=-b±b2-4ac2a.

Q: Solve for Linear DE of Order n: y′′−3y′+2y=cos(e^−x)

A: Using General Method of Linear D.E.

Q: During sales hour in a supermarket, Cynthia measures her urgency from buying x bags of candies and y...

A: Given that , fx,y=xy where x→bags of candies and y→bars of chocolate find bags of candies and bars o...

Q: Use Gauss's law to find the charge enclosed by the cube with vertices (±1,±1,±1) if the electric fie...

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Q: f(seca tan a – 8a")da tan a + a° + c sec a +a8 +e - sec * – a8 +c sec a – a° +e sec a +8

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Q: 2 Find the derivative of y = arctan(x´ + 3)

A: We have to find the derivative of the given function.

Q: A white wine at room temperature 70°F is chi lled in Ice (32°F). If it takes 15 minutes for the wine...

A: Let T(t) (i will write T most of the time) be the temperature of the wine at time t.Let T′(t) (or T′...

Q: Let f be a continuous function over an interval I containing a critical point e and f is differentia...

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Q: Find the derivative

A: We have to find the derivative of given function.

Q: IV. Determine the if the pair of angles given is coterminal or not. 17. 80° and – 440° 19. 3T/4 and ...

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Q: The heat index (HI) is an estimate of the temperature felt by the human body based on the actual mea...

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Q: 10 Write expression log as a sum or difference of logarithms with no exponents. Simplify z20 your an...

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Q: Solve 6 cos(4x) = 2 for the smallest three positive solutions. %3D Give your answers accurate to at ...

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Q: 2. An object weighng 200 lbs falls freely until it reaches a terminal velocity of 175 Asec. A'ssume ...

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Q: #BY=tan x +2X Sinxt c SIAX+I if(x);=tanx t2X gex (sin(x).tl)

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Q: Given 2(dy/dx)+3y=sin⁡2x,y(0)=6 and using undetermined coefficient method: What is the complementary...

A: We have to find  the complementary solution, yc using undetermined coefficient method.

Q: Scientists and engineers often use polar equations to model the motion of satellites in earth orbit....

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Q: 6. -8310 – 4310

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Q: dy Use implicit differentiation to find dx '+x² - y² = 10

A: Given; e^(xy)+x^2-y^2=10 We have to find dy/dx  

Q: 21. For f (x) = 4 sin(3x – T) – 1, determine the amplitude, period, and midline equation; then sketc...

A: Using the form f(x) = asin(bx—c) + d,   Where a = 4, b = 3, c = π, d = —1 As our function is f(x) = ...

Q: 6. Answer both questions on this page in regards to the function f(x,y) = xye" + 2x. a. Find Daf(1,0...

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Q: 8. Consider the indefinite integral |x°(x² + 5) dx. = x7 +5. x6 and dv = (x" + (a) Evaluate the inde...

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Q: Find the area of the region enclosed between f(x) = x² + 10 and g(x) = 2x2 + 2x + 2. Area = (Note: T...

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