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Q: The design layout of a cooling tower is shown in Figure The tower stands meters tall. The diameter o...

A: The standard form of a horizontal hyperbola centered at the origin is x2a2-y2b2=1. The length of the...

Q: The function f(x) = 2x3 – 39x? + 240x + 9 has derivative f'(x) = 6x? – 78x + 240. %3D f(x) has one l...

A: Given data: The expression for the given function is f(x)=2x3-39x2+240x+9. The expression for the ...

Q: Find the average rate of change of the function over the given interval f(t)=2t+3 [4,6] = Compare...

A: Consider the given function: ft=2t+3 ; 4,6 Here, the objective is to find the average rate of change...

Q: In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the m...

A: Given that Tx1,x2,x3,x4=0,x1+x2,x2+x3,x3+x4

Q: Find the y' and y''. y= square root of 1- sec (t)

A: Consider the provided function, y=1-sect Find the first and second derivative of the function. Now, ...

Q: g(x)=-5x+2 find average rate of change of the function between x=a and x=a+h

A: Average rate of change of a function x=m to x=n is given as:

Q: How to solve this question?

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Q: Calculus Question

A: Since you have asked multiple questions in single request so we will be answering only first ques...

Q: Please very soon full explanation

A: Here, the objective is to find the following: a) 3, 3, 3, 3, .... as its second difference. b)1, 2, ...

Q: ) This problem will lead you through the steps to answer this question: A spherical balloon is being...

A: As per the data given, the second picture continution is the first picture.

Q: Suppose the radius of a sphere are expanding at a rate of 6 inches per minute. How fast is the volum...

A: The radius of a sphere is expanding at a rate of 6 inches per minute. How fast is the volume of the...

Q: 1. (Consider the curve described by the equation xy – y³ = 6 shown below. a. Verify that the point (...

A: Given graph of xy-y3=6 (1)

Q: (a)(2e−1,2e) (b)(e−1,2e−1) (c)((e−1)/2,e−1) (d)(0,(e−1)/2)

A: Given: f:12,1→R It is a differentiable function such that ...

Q: Set up the triple integrals for finding the mass and the center of mass of the solid of density boun...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Given f(x) = 6xe® csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to f(...

A: A function f(x)=6xexcsc(x), we have to find the derivative of the given function i.e. f'(x) also fin...

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of e...

A: Slope tells how fast the dependent variable changes wrt the input variable. slope(m) of a function f...

Q: A voltage V across a resistance R generates a current I = VIR. If a constant voltage of 12 volts is ...

A:

Q: How would you multiply this equation

A: We have to multiply 2x-ix+ix+5 2x-ix+ix+5=2x-ixx+5+ix+5=2x-ix2+5x+xi+5i=2x-ix2+5x+x+5i=2xx2+5x+x+5i-...

Q: Please show the work step by step . I am really struggling with this problem.

A: Note:- In given problem you don't mention about x and also it is a known Theorem so assuming that th...

Q: Solve Step 2 beyond

A: It is already given step 1 as shown below.

Q: Your local nursery is running a special on mulch, $40/yd3 with delivery. Determine how many cubic ya...

A: Given, Cost of mulch = $40/yd3 Cubic foots that will be needed for the mulch = 35.0028 ft3 we know t...

Q: Find the exact value of the expression. Write the answer as a single fraction. Do not use a calculat...

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Q: please very soon full explanation

A: given that a1=1 ,a2=2 and an+2=(-1/2)an+1+(1/2)an. we need to find the formulae for an.

Q: 3) Show that (f • g)(x) = (g • f)(x) = x. f(x) = 4 – 3x g(x) =(4 – x)

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Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n=5060−110...

A: Demand for an electric fan is related to its selling price p (in dollars) by the equation, n=5060-11...

Q: Find the general solution to the given differential equation. (Use C for the constant of integration...

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Q: Use logarithmic differentiation to find dy/dx for the function

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Q: True or False. If the statement is true, explain how you know. If the statement if false, give a cou...

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Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: The base x of the right triangle in the figure increases at a rate of 5 cm/s, while the height remai...

A: Consider the given graph Given dxdt=5cms ,h=17cm

Q: Consider the following. 2xy dy dx = y2 + 8 Rewrite the differential equation with separa...

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Q: 1) Find the derivative of the function. Simplify if possible.? = sin ? cot ? 2) Evaluate the limit...

A: 1) We have to find derivative of y=sinxcotx It can simplify it as: y=sinx·cosxsinxy=cosx Differentia...

Q: Evaluate the surface integral. xz ds S is the boundary of the region enclosed by the cylinder y² + z...

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Q: In problems 11 and 12 determine by inspection at least two solutions of the given initial-value prob...

A: (11) Given differential equation is y'=3y23 and y0=0. Given differential equation can be written as:...

Q: Can you help me with this problem please?

A: The function f(x) has a continuous second derivative, and it satisfies f(8)=-4,f'(8)=0 and f''(8)=1....

Q: Sketch the space curve r(t) = −ti + 4tj + 3tk and find its length over the given interval [0, 1] .

A: Given space curve is rt=-ti+4tj+3tk. Sketch the above space curve as shown below.

Q: This is a calculus 3 problem. Please explain each step clearly, no cursive writing.

A: The given function is fx,y=-0.02x2y3. Compute the gradient of f as follows. ∇fx,y=∂∂x, ∂∂y -0.02x2y...

Q: Evaluate the expression log3(log8 8) without using a calculator. If evaluation is not possible, stat...

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Q: x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x + 2...

A: Definition used - Slope of normal - The slope of normal at a point is the ...

Q: Find the derivative.

A: Click to see the answer

Q: 53-54 - Solving a Matrix Equation Solve the matrix equation by multiplying each side by the appropri...

A: 53. The matrix equation is 3-2-43xyzuvw=10-1213

Q: If θ lies in quadrant III______, and______ are positive.

A: Click to see the answer

Q: Find the general solution to the given differential equation. (Use C for the constant of integration...

A: Given differential equation is dydx=x3y

Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) ...

A: The given function is p(x)=-10x2+1660x-4700. To maximize the profit differentiate the function with ...

Q: Simplify:

A: Click to see the answer