3x² Find f'(x) given that f(x) = Vx² + 2x -1

Q: A kiosk in the mall (Oh, hey, remember the mall? Back in February, that was a thing.) sells both the...

A:   The given function is Px,y=140x+200y-4x2+2xy-12y2-700. To calculate Pyx,y: Pyx,y=ddy140x+200y-4x2+...

Q: please dont use limit comparison test.

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Q: Basic calculus problem help me

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Q: #22) Use the given information to sketch the graph of f. assume that f is continuous on its domain a...

A: Given:Domain: All real x, except x=-1 and x=1;f-2=1, f0=0, f2=1;f'x>0 on -∞,-1 and 0,1;f'x<0 o...

Q: 5th question

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Q: Consider the given equation. cot(y) sec(y) csc(y) – sin(y) (a) Verify algebraically that the equatio...

A: a) To verify :cot(y)sec(y)=csc(y)-sin(y)

Q: How to graph x^3 - xlny + y^3 = 2x + 5

A: Given :           x3-xlny+y3=2x+5

Q: Find values v and a.

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Q: Find the area of the shaded region. y = x – 2 2+ y=V 1 2 3 4 | square units

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Q: Calculus Question

A: Given: f'x=x4-16x3+91x2-216x+180 To Find: i. Inflection Point(ii). Interval of concavity Concept: se...

Q: Calculus Question

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Q: dy Simplify your answer. dx Calculate |x| y = %3D

A: The given function is y=xx6.  

Q: find the riemann sum

A: Given  fx=2x2-8 , 0≤x≤3 and  n=6

Q: Suppose that f is a function satisfying f(1)=f'(1)=10 and let h(x)= f(x)· Vã Calculate h'(1). Your a...

A: Given Data: The value of the function f at x=1 is: f(1)=10 The value of the first derivative of f at...

Q: I need help

A: Given function is f(x)=3sin(x)+4 Differentiate f(x) with respect to x. f'(x)=3ddxsin(x)+4-1=-3sin(x)...

Q: 2nd question

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Q: We are going to create 6 pens in a garden area with 240 feet of chicken wire. The plan is to enclose...

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

Q: Prove e^z1/e^z2 = e^(z1-z2)

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Q: We want to evaluate P, F · dr, where F(x, y) = and C is the circle x² +y² = 1, oriented clockwise. ...

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Q: Consider the function. F(x)= (x+1) / x^2 Find the domain and all the intercepts. Choose all of the f...

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Q: please show all work. thank you in advance!

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Q: Sketch the graphs of the functions f and g. f(x) = x + 3,    g(x) = x2 − 9     Find the area of th...

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Q: Find the prime factorization of a number 23256. Show Work. Write this factorization in a canonical f...

A: Given number is 23256 To find the prime factorisation of the number. And to write in canonical form....

Q: b) Use the concept of infinite limit to compute the following: (1 – i)z + i lim 2-i/2 2z +i

A: To compute the limit: limz→i21-iz+i2z+i Explanation: The concept of limit states that if the highest...

Q: Calculus Question

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Q: The solution of the differential equation using variable separable dy dæ x² + 2 4y3 + 9

A: Given differential equation: x2dydx=x2+24y3+9   Form of the variable separable: First convert the d...

Q: use the half-angle identities to find the exact values of the trigonometric expressions. csc (9pi/8)

A: csc9π8=1sin9π8we know that cscx=1sinxand sin2x=2sinxcosxtherefore applying these identitiescsc9π8=1s...

Q: a)  If 1600 square centimeters of material is available to make a box with a square base and an open...

A: Given, “Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Verify whether the function f(z) = e^x (cos y + isin y) satisfies Cauchy-Riemann equations or not.

A: We know that cauchy-Riemann equations  ux = vy  and uy = -vx Here  u = excosy and v = exsiny

Q: Find an eqaution of the line tangent to the graph f(x) = 3x2 - 5x at the point (1,-2).

A: fx=3x2-5x Slope of the tangent line is the derivative of the given function at the given point. So d...

Q: Given the graph of the derivative f'(x) shown below, exactly how many inflection points does f(x) ha...

A: The graph of f'(x) is shown in figure. Graph of f'(x) has two points at which the tangent is paralle...

Q: Setup an integral to find the area inside the graph of r = 2-2sin(theta) and outside the graph of r ...

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Q: a) Let f(x)=−x4−8x3+2x+6. Find the open intervals on which f is concave up (down). Then determine th...

A: Given function, f(x)=-x4-8x3+2x+6

Q: (a) Suppose u(x, y) = 2x – x + 3xy? is harmonic, then find its conjugate harmonic v(x, y). -

A: The harmonic conjugate to a given function  is a function  such that is complex differentiable (i.e...

Q: Which of the following is the differential equation that accepts the solution as the family of С1arc...

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Q: An automotive plant makes the Quartz and the Pacer. The plant has a maximum production capacity of 1...

A: Let x and y be the number of Quartz cars and Pacer cars produced respectively. According to given da...

Q: The graph of y = x                                ∫  f(t)dt                               0  where f...

A: The given function is, y=∫0xftdt According to the graph, a). Function f is positive on 1,2∪5,6. Fun...

Q: You have a rectangular piece of cardboard that is 16 inches by 10 inches. You are going to cut squar...

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Q: can you solve this question please

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Q: Let f(x)=−x4−8x3+2x+6. Find the open intervals on which ff is concave up (down). Then determine the ...

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 4x + 6, f'(0) = 9, f(0) = 6 (...

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Q: The following table gives the approximate increase in the average price of a movie ticket every two ...

A:  given that                        and the price of movie ticket in 2004 is $6.99. we have to find ...

Q: t-4dt

A: Given,         ∫tt-43dt