A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order cost $2.00 each. Each of the next 150 cupcakes only cost $1.75 each. And each cupcake ordered in excess of 250 costs $1.25 each. a. Write a piecewise function to represent the situation.

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A: we know   ∫11+x2dx=tan-1(x)+cdexdx=exI=∫e2x1+e4xdx

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A: Given query is to find indicated derivative.

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A: The graph of the function is given  We have to find the area of the region .

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A: We have given to find integral  I= ∫tanx·sec3x dx Let, secx=t secx.tanx dx=dt I=∫t2 dt I=t2+12+1+C…

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A: Given query is to simplify the expression.

Q: da x ln(x)

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Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

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Q: this

A: We have to choose the correct option from the given options according to the given information

Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

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Q: Determine a value for s so that f(x) = sx2− 6x + 2 has a minimum at x=1   s____

A: Given query is to find the value of a.

Q: Match the following functions with the general shape of their graphs. Functions f(x) = ln (x + 2) -…

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Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

A: To find the length and width.

Q: can you please explain in words how the equation 3y^2 + 2xy + x^2 = 6 turned into 6y+2y+2x+2x=0??

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Q: Find the area of region enclosed by=t-t², y=t-t³, 0≤t≤1 using Green's Theorem.

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Q: (3) ( ) (A) Find the volume of the solid under the paraboloid z = 2x² + y² and above the rectangle…

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Q: 1) Let an = 3+2(n-1). Write the first 5 terms of an. Find Σ10% ακ k=1

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Q: Write the integral in rectangular coordinates, and then evaluate it. i) xyz dV where G lies below z…

A: Given that , z=1-x2 and the rectangle is R=x,y:-1≤x≤0 , 0≤y≤2 Evaluate ∫∫∫GxyzdV=?

Q: Explain the relationship between a function and the derivative by providing an example.

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Q: The weight of a body, W, above the surface of the Earth varies inversely with the square of the…

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Q: ppose that x = f(y) is determined from the equation y = x + sin(3x) on a neighborhood of O. Find…

A: Given query is to find indicated derivative.

Q: O Find the area of the region bounded by y = 4x - x² and y = x² - 2x.

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Q: Inverse Laplace transform of 2 s-5 2 + is s²+16 s³ f(t) = 2cos(4t)-5sin(4t)+t² F(s) = Select one: O…

A: We are required to find if the inverse Laplace transform of F(s) is True or False

Q: Find the length of the cardioid r = 3+3 cos 0. The length of the cardioid is (Simplify your answer.)

A: formula for  length of cardioid is  L=∫abr2+(drdθ)2dθgiven  r=3+3cosθdcosθdθ=-sinθ

Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: Find the following using the table below. x 1 2 3 4 f(x) 2 1 4 f'(x) 3 1 g(x) 4 3 2 1 g'(x) 1 3 2 4…

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Q: f 05 25 2f(x) dx = 4 and O 14 0-4 O-10 | = falde = 61, what 9 f(x)dx?

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Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

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Q: Question 13 Evaluate the definite integral. 1.² sin (3t)dt Question Help: Video ▼ Submit Question…

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Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: Evaluate the integral by making the appropriate substitution: u = f2¹ (25 - 4) 43³dz = dx 43 fz¹ª…

A: To evaluate the integral.

Q: DIFFERENTIAL EQUATION | COMPLETE THE TABLE Differential Equation (1) 4xy - x³y + y² = x (2) = xy³…

A: To complete the following table of differential equations.

Q: Graph y² x² 25 49 = 1. Label the vertices and foci on the graph.

A: Hyperbola

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: Question Find the Laplace transformation s²+2 S3 L {f(t)} if f(t)= (t + 1)² ? O None of them…

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Q: DETAILS The velocity of a skydiver, in feet per second, t seconds after jumping out of an airplane,…

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Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: solved problem of multiple integration. Show

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Q: Q8: Can you answer all the parts to this question, with the working showing clearly

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