y?+4 dy

Q: Find a solution of the initial-value problem. y' =  xy3 16        y(0) = 12   y=? refer to...

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Q: Find the limit

A: Given : fx = x2 + x

Q: 5. Given the iterated integral, sketch the region of integration R and evaluate the integral: si Só ...

A: Given, Integral, I= ∫14∫04xydxdy Region of integration can be represented as the region ABCD as show...

Q: rate of average cost

A: Given : cost in dollars when producing x belts 

Q: Evaluate the definite integral. x - 2 dx 12

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Q: Show work please.

A: Given: The function, fx=-8xx2+1.

Q: Determine whether the series is convergent or divergent. Please be sure you show all the proper step...

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Q: Rectillinear Motion Topic From Differential Equation Please use the way it is solved in differential...

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Q: 1 14 Find the absolute minimum value on (0,00) for f(x) =x-- + X Select the correct choice below and...

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Q: Set up a double integral that gives the area of the surface of the graph of f over the region R. f(x...

A: To find the area of surface of graph f

Q: Verify Green's Theorem by evaluating both integrals дм |y? dx + x2 dy = JR dA ду %3D for the given p...

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Q: Find an equation of variation in which y varies jointly as x and z and inversely as the product of w...

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Q: F = (4y2, 2x2), and let C be the curve y = x-1 for 1sxs 2, oriented from left to right. Calculate F(...

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Q: Verify that Strokes' Theorem is true for the given vector field F and surface S. F(x, y, z) = yi + ...

A: Given : Vector field F and surface S F(x,y,z)=yi+zj+xk Hemisphere ''S'' x2+y2+z2=1,y≥0  

Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

A: Given Data: The differential equation is: f'(x)=-6x The initial condition is: f(1)=-2 Rewrite the di...

Q: Need help with intervals of concave up and concave down

A: Given that: The equation is f(x) = x3 - 1x3 + 1 . Inflection points are ( 0 , - 1) , 4132 , - 13 . f...

Q: Find the indefinite integral

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Q: Suppose a function f (x) is an odd function and that f(x)dx = 4. Evaluate each definite integral and...

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Q: Complete the square and write the given equation in standard form. Then give the center and radius o...

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Q: Determine whether the series is convergent or divergent. Please make sure to show all the proper ste...

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Q: Using the First Derivative Test, what are the local extrema for the function h(x) = 3x3 – 9x2 – 72x ...

A: It is given that,              h(x)=3x3-9x2-72x+9we have to find the local extrema of the function.

Q: find parametric and symmetric equations for the line through (1,-1,2) and parallel to the line x+2=y...

A: From the line x+2=y-1=z  we get the direction ratio=(1,1,1)The direction ratio of the parallel line ...

Q: Use the Substitution Formula, f(g(x) g'(x) dx = f(u) du where g(x) = u, to evaluate the following in...

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Q: An aquarium 5 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of ...

A: Given: Length of aquarium: 5m long, 1m wide and 1m deep g = 9.8 m/s^2 density of water, ρ=1000 kgm3 ...

Q: olve 32+1 = 22, expressing your answer in exact form in terms of log3-

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Q: Find two unit vectors orthogonal to both (1,-1,1) and (1,0,3)

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Q: If F(t) is an antiderivative of e , then F' (t) is equal to e + C 2te О- 2te + C None of the above

A: Derivative and anti derivative are opposite functions. If a function is said to be an anti derivativ...

Q: The maximum number of grams of fat (F) that should be in a diet varies directly as a person's weight...

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Q: 1. Consider the parametric curves. (a) Determine dy/dx in terms of t and evaluate it at the given va...

A: Consider the parametric curves  a)     x=cost,y=8sint,     t=π/2b)     x=t,y=2t,              t=4  

Q: Use Part 1 of the fundamental Theorem of Calculus to find the derivative of the function. y= integra...

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [5, ...

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Q: Find the area A of the region between the graphs of the equations y? = 9x x2 = 9y A = 27 9.

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Q: 5.1 hw  17

A: Consider the given case is y=x2, x=a=2 and x=b=5 where n=6. Then, ∆x=b-an=5-26=12 The six sub divisi...

Q: 4 What is the end-behavior of the function f(x 1+z2 O The graph approaches the asymptote y = 4. O Th...

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Q: Let f (x) = cos x − sin x for 0 ≤ x ≤ 3?/4.Find the area A of the region between the graph of f and ...

A: We first sketch the function using a graphing calculator.     

Q: What is the value of y when t o?

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [5, ...

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Q: Find the area A of the region between the graphs of the equations y2 x2 = 5x 5y = A = symbolic forma...

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Q: Evaluate: lim(x+2) x-> 0

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Q: Write the integral in terms of u and du. Then evaluate. /V31? + 3 dt, u= 37 + 3 (Use symbolic notati...

A: The given integral is, ∫t3t2+3 For u=3t2+3 then, du/dt =6t and dt=du6t. The integral in terms of u i...

Q: Let f"(t) = /t – 2 cos t. Determine a general f(t). -

A: Given : f'''t = t - 2cost

Q: lim x->4 (x-4/x2 -x-12)

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Q: Please show. all the work including the test your using.

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

A: Given that: The equation of the function is f(x) = 14-x  , c = 5.  

Q: If F(t) d [F(t*)] is equal to is an antiderivative of f(t), then dt

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Q: A car rental agency rents 220 cars per day at a rate of $20 per day. For each $1 increase in rate, 5...

A: Let x dollars be the increase in rate , then decrease in number of cars rented is 5x.  Then , the ag...

Q: Find the exact value of the slope of the tangent line to the graph of −3x2+xy+4y3=102at the point (2...

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.