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Q: Find the cost of an item that was sold for $4230.00 in order to realize a margin of 113% based on co...

A: Given that, Selling price of an item = $4230.00 To find the cost of the item if margin was 113% bas...

Q: Find the solution of yn+6y'+9y=150e2t with y(0)= 7 and y'(0)=9

A: Differential eq: y''+6y'+9y=150e2t ; y(0)=7, y'(0)=9. The complementary function is m2+6m+9=0

Q: 1.Find h'(2) if h(x) = ln(x + √x2 - 1). 2.suppose that F(x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'...

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Q: Two numbers when multiplied equuals to 28 if one number is greater than x by 3 represent the informa...

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Q: 12

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Q: Evaluate the definite integral. 9. | (40yVy +3Vy) dy 4

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Q: For the function f(x) = x3 - 48x, its local maximum is ? Which occurs at ?; its local minimum is ? W...

A: Second Derivative Test for Local Extrema:- The second derivative may be used to determine local extr...

Q: Write an equation of the form y = a sinbx or y= a cosbx to describe the graph below. y = ] 2

A: The graph passes through the origin , so the equation of the graph is of form y=asinbx where a is am...

Q: 6

A: Given that 2yy'=x and y2=5. Solve the above equation as follows. 2yy'=x2ydydx=x2ydy=xdx∫2ydy=∫xdx...

Q: 2. Use Wronskian to show that fi = x, f2 = ln x, and f3 = x ln x are C° (R). linearly independent in

A: Given f1=xf2=lnxf3=x lnx

Q: Consider the function f(x) = x² - 4x + 7 on the interval (0,4|. Verify that this function satisfies ...

A: fx=x2-4x+7 on the interval 0, 4. Since fx=x2-4x+7 is a polynomial function, therefore fx is continuo...

Q: Find the area of the shaded region. yA y = -x2 + 4x y = x2 - 2x

A: We have the given curves as y=-x2+4x ⋯⋯1y=x2-2x ⋯⋯2 On solving the equation (1) an...

Q: I got stuck with this one

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Q: Given f(x) = In(x² + 3x + 9), over the interval [ – 5, - 1], answer the following: %3D a) The point ...

A: Given, fx=lnx2+3x+9

Q: Hello, can I have help answering this question?

A: Given: x=-2, x=2, y=7x, y=x2-8 To determine: The area between the given curves.

Q: number 1

A: For multiple questions, answer only first question for other answer repost this question Answer = (1...

Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x) ...

A: Formula for calculating the instantaneous rate of change of a function is given by - f'(x) = limh→0 ...

Q: this is for my calculus HW. and im completly stuck. please show all steps so i can learn and continu...

A: Given, ∠B=47°,∠C=80°a=95ft

Q: Determine the intervals on which the function is concave up or down and find the value at which the ...

A: Since you have posted multiple questions, we will solve only first question for you. To get remainin...

Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log propertylogmn=logm-lognlogmn...

Q: number 1

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Q: I got stuck with this problem

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Q: On the graph of f(¤) = sin z and the domain 0 < z < 27, for which of the following intervals is f(r)...

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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: please and thank you!

A: Explanation of the solution is given below....

Q: Find the solution of the equation, correct to two decimal places. log2(x+2) + log2(x−1)= 2

A: We gonna use log properties to sole this problem log m + log n = log mn loga x = y => x = ay

Q: Find the sum of the convergent series. 8 8 + 8 125 8. 25

A: Given : The series 8 + 85 + 825 + 8125 + . . . . To evaluate : The sum of the convergent serie...

Q: 2. Let f(x) be a function. Write a formula for a function g(x) in terms of f(x) for each of the foll...

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

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Q: Karpov Dealers bought tires from a wholesaler at $75.00 dollars each and sold them at a mark-up of 2...

A: Given: Karpov Dealers bought tires from a wholesaler at $75.00 dollars each and sold them at a mark-...

Q: Let F be the function below. Evaluate each of the following expressions. Note: Enter 'DNE' if the li...

A: NOTE- I have answered first three subparts of this question as we are allowed to answer three subpar...

Q: pls help with both they are part of the same question. its just separated as part a and part b

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Q: Calculate these integrals:

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Q: Rewrite e^−6.4=h as an equivalent logarithmic equation. Enclose arguments of functions in parenthe...

A: Given exponential form is e-6.4=h

Q: I need help with this

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Q: number 5

A: The given function is fx=e1-8x. Obtain the derivatives as follows. fx=e1-8x f3=e-23 f'x=-8e1-8x...

Q: 7. Evaluate the definite integral by hand. x dx -1 x' +1

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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: 4

A: rate of the perimeter increasing is 26 ft/sec detailed solution is given below

Q: Please see the image for question, thannk you in advance

A: Given time dependent height function h(t) - h(t) = 0.8sinπ2t-1+1.8Differentiating h(t) with respect ...

Q: please help with the following question. it is 1 question, just different parts. part a and part b

A: Given: fx=x-76x+5fx=x3-9x2+23x-15 To Find: i. Inflection Pointii. Concavity

Q: A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00. Compute the markdow...

A: Given: A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00.