e*dx +e*

Q: Write and find the general solution of the differential equation that models the verbal statement. E...

A: To find the general solution of the differential equation at the specified value of independent vari...

Q: The regular selling price of merchandise sold in a store includes a margin of 62% based on selling p...

A: Given that,  The cost of an item for store = $231.25 Cost of an item was marked down by 47% during a...

Q: calculus  For f(x) = (x − 3)(x + 7)2/3, find the intervals on which f is increasing or decreasing an...

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Q: Question is attached

A: Given a=15,c=20, B=124° By cosine law, cosB=a2+c2-b22acb2=a2+c2-2accosBb2=(15)2+(20)2-2(15)(20)cos12...

Q: In this situation, finding the indefinite integral is most easily achieved using the method of integ...

A: If we choose u=x5-8 dudx=5x4⇒x4dx=du5

Q: 9

A: Simply differentiate both side and then insert given values.

Q: Worldwide annual sales of a device in 2012-2013 were approximately q = −6p+3090 million units at a s...

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Q: Find the derivative of the function.    t(x) = (x2 − 8x3)/(x)

A: Given, t(x)=x2-8x3xTake 'x' common from numerator,we gett(x)=xx-8x2xCancel 'x' from both numerator a...

Q: Find the area of the region bounded by y = 4x + 4, y = 6x + 6, and a = 4 %3D

A: Given:y=4x+4y=6x+6x=4Formula:Area=∫aby1x-y2x dxA=∫aby1x dx-∫aby2x dx

Q: 16

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Q: 2/3 of 1/2

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y,...

A: Area between curves f(x) and g(x) on [a, b] is, A=∫abf(x)-g(x)dx Where f(x) is upper curve and g(x) ...

Q: Let g(x) = x2 + x – 2 |x - 1| (a) Find the following limits. (If an answer does not exist, enter DNE...

A: The given function is gx=x2+X-2x-1 To find the limit limx→1+gx, first simplify the numerator of the ...

Q: Use the table of values and graph to evaluate the following limits a. limx→0 (1-cos5x/6x) b. limx→0 ...

A: limx→01-cos5x6x The graph of y=1-cos5x6x is, From the graph we can see that the value of 1-cos5x6x ...

Q: Verify the following identity. cos (x-0) = - cos e

A: Given  cosπ-θ=-cosθ  

Q: Purcell Export received an invoice dated August 21 from Dutch Specialties of Amsterdam with terms 5/...

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Q: 8. Sketch the graphs of the functions f and g, and find the area of the region enclosed by these gra...

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Q: 14

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Q: Evaluate the following using table of values and graph. 1. limx→0 log½x 2. limx→0+[In5x] 3. limx→+∞ ...

A: 1) Consider the given function, limx→0log12x so evaluate the limit as follows, limx→0log12x=log120=∞...

Q: Find dy/dx.x = t/(3 + t), y =(3 + t)^1/2

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Q: Calculus Question

A: Given : ∫3 + 1t61t2dt

Q: An object is thrown vertically upward from the surface of a celestial body at a velocity of 27 meter...

A: Distance function is given by - s(t) = 0.3t2+27twhere,t = time in secondss = speed in m/sec(a)Speed ...

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the a...

A:             Given:Here f(x)=x(12x2-52)To find:we have to find the integral 

Q: Help solve step by step

A: Given,           f(x) = 6 - x2x2 + 7

Q: Evaluate the integral. Check your result by differentiation. (Use C for the constant of integration....

A: Given, ∫8x8x9+6  dx Let's asssume  t = x9 + 6      then dtdx = 9x8dt9= x8dx  Substituting these valu...

Q: 4x2 . Find the open intervals on which Let f(x) = %3D X – 4 f is increasing (decreasing). Then deter...

A: Maxima minima: f(x)=4x2x-4Therefore x=4 is discontinuous point.For maxima and minima we need to find...

Q: Find the inflection points using the given equation->  y = 3x + 6 cos x, 0 <= x <= 2pi

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Q: calculus help The function f(x) = ln(cos x) is continuous on [0,π/4] and differentiable on (0,π/4). ...

A: given that , the function f(x)=ln (cos x) is continuous on 0,π/4 and differentiable on 0,π/4 thus bo...

Q: Suppose payments were made at the end of each month into an ordinary annuity earning interest at the...

A: The formula for periodic deposit is given as, 168 where,  P=size of paymentFV= future valuer=monthly...

Q: A ball is thrown into the air and its position is given by h(t) = - 2.2t2 + 29t + 17 where h is the ...

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Q: Help solve step by step

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Q: Find dy/dx by implicit differentiation. sqrt x+y + sqrt xy=4

A: Given,           x+y+xy=4

Q: The population of a city is modeled by the equation  P(t)=235,775e^0.25t where t is measured in year...

A: you can clearly understand if you follow the below solution

Q: It has been estimated that the world's tropical rain forests are disappearing at the rate of 1.8% pe...

A: To Determine:  how soon will the rain forests be reduced to 25% of their present size? Given: It has...

Q: 4

A: Since, we have been asked about the conclusion of Rolle's Theorem,so we will first go through the st...

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and tha...

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angl...

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Q: Evaluate the integral

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep saf...

A: y=10x2   _____________ (1) y=x2+7  _____________ (2) The region between the given curves is shaded i...

Q: calculus For (a)–(c), state the indeterminate form. Then apply l’Hospital’s rule, as applicable, to ...

A: Given we have to state the indeterminate form and apply L'Hospital rule