Using the definition, find the derivative of function 2z-i 1 (z)= at the point z = = -¡. z + 2i

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

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Q: Evaluate the integral. 2 x² + x + 1 6²7= Jo (x + 1)²(x + 2) dx

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Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: To find out the levels of x and y which will maximizes the utility.

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5x - 7) X→-6

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Q: 2x-x² dx

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Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

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Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

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Q: Find the vertical asymptotes (if any) of the gr exist, enter DNE.) x³3x² + 4x g(x) = 5x² - 30x + 40

A: g(x) = (1/2x^3-3x^2+4x)/(5x^2-30x+40)  Find the vertical asymptotes?

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

A: Recall:  V=∫abπf(x)2dx We have a=0, b=6, f(x)=e-x

Q: 2a Please help me with my reviewer, provide the whole solution so that I can understand thank you

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Q: Given z=x²y+3xy, x=sin(2t), y=cos(t), find dz/dt when t=0

A: ddxcosx=-sinx

Q: २ 29x-x² dx

A: Given problem:- Evaluate ∫√(29x-x2) dx

Q: Which statement describes this graph? 3 15- -10- -5-

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Let h(x) = tan(3x + 4). Then h' (2) is and h'' (2) is

A: The function is given by hx = tan3x+4 To evaluate: The values of h'2 and h''(2)

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Q: ind the regions where sinx Sx.f

A: Topic:- trigonometry

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Q: Find the area of the region enclosed by the curve y=x²-3x³ + 2x² at interval from x=0 to x = 2.…

A: The graph of the curve y=x4-3x3+2x2 is To evaluate: The area of the region enclosed by the given…

Q: 4. A triangle has sides of length 13 cm and 22 cm and has an area of 100 cm² a) Use Heron's formula…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Find the area of the region enclosed by the curve y=x²-3x³ + 2x² at interval from x=0 to x = 2. y…

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Q: Solve the following D.E dy sin x- dx +2y = tan 2

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Q: e²x 9e2 + 18e + 10 (d) / 5 dx

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Q: Vertex: Axis of symmetry: X f(x) = −(x + 1)² + 2 -10 -8 -6 -4 -2 10- 8- 6- 4 2- -2- -4- -6 -8- F~ 2…

A: Concept: Vertex: on the parabola, the greatest and lowest pointsAxis of symmetry: It's the straight…

Q: Find the volume of the solid generated if the area bounded by y = = and the x-axis from I x=1 and…

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Q: Write the equation of the circle centered at (1, 10) with radius 3.

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Q: Let f(x) = 2.5x² - 2.2c. Use the difference quotient and h = 0.001 to estimate the slope of the…

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Q: Find the area of the region described. 4 1 The region bounded by y = and y = - 1-x 2

A: To find the area bounded by the curves y=43&y=11-x2. The region bounded by the curves is:

Q: Evaluate the indefinite integral given below. Provid [(-3x - 3)¹ dx

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Q: 4 f(x) = 3x6 3 f(x) = $/x2

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Q: What is the volume of the solid formed when the region bounded by the curve y =√16x², x = -3 and x -…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Find dy dx In y = e sinx Ody dx dy dx O dy dx O dy da - = = 1 = ye" sin x ye" cos x 1- ye" cos x yey…

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Q: 3 + 2x² √3+2 x2 O 2x 3 - +C X + + 2x + C x3 23³3³ +0 x³ + 2x + C O dx =

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Q: Use the Laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t,    y(0) =…

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Q: Determine whether or not the following limits exist (explain why or why not): x² - y² a) lim…

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Q: x3 5x² Find the absolute maximum and absolute minimum of the function f(x) = + 4x + 2 over the…

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Q: 2dx 3 X - - 2 X

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Q: 5.494949... = 5. 49494 100000 X

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Q: Solve the differential equation for initial value problem using the method of undetermined…

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Q: Differential Equation 1) +34 dy dr3 = 0 dz 2) (D³ + 3D² -4D- 12) y = 0 3) 2D +11D³ + 18D2 + 4D 8 = 0…

A: As you have asked to solve question number 3 only, I am solving only that. Thank you. 3. Given…