Find the derivative of the function & write your answer in simplified, fully factored form y = (x² - 4x)³(2x³ + 3x²²

Q: The values of two differentiable functions f and g, as well as their derivatives, are shown in the…

A: h(x) = ef(x) . g(x3)

Q: Solve the initial value problem: 1 f'(x) = = + tan(x) X f(1) = 20

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Q: find the remainder f(x)= 2x^4-3x^3-8x+8 when devided by x-2 with showing full steps

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -180 feet per…

A: Velocity = -180ft/sec Acceleration = 32ft/sec2

Q: Evaluate y ds, C: x = t², y=t, −2≤t≤8

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Q: A pendulum has a length of 0.83 m. What is the period of this pendulum? Express your answer to two…

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Q: Use cylindrical coordinates to calculate : SSSw(x² + y²) dv JJJw x² + y² dv W: x² + y² ≤25, 0≤ z≤8

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Q: 1. Describe the following characteristics for the function y = 2tan4x on the interval 0, details…

A: Solving the problem.

Q: Determine whether the following series are convergent or divergent. 1. (-)" 2.-1 ²5 100 (Yukarıda…

A: 1.∑n=1∞nn+6n Since limn→∞an=limn→∞nn+6n=e-6 ≠0 So by using limit comparison test given series is…

Q: Sketch the conic. Include the directrix that corresponds to the focus at the origin. Label the…

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Q: 3 9. So dx (x+2)√x+1

A: The given integral is 1/[(x+2)(sqrt(x+1))], x from 0 to 3.

Q: 2 기름이 7. da

A: ∫eaxdx=eaxa+C

Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

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Q: =√xy³dx + zªdy, where C is the rectangle with vertices (0,0), (2,0), (2,1), and (0,1) Evaluate

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Q: Solve differential equation with steps: y''-y'-2y=4x-6x^(-x)

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Q: Use the U-Substitution Method to evaluate the integral (show work)

A: ∫exdx=ex+C

Q: Find the divergence of the vector field F = div F =

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Q: Compute the flux of the vector field (x², – xy³), out of the rectangle with vertices (0,0), (1,0),…

A: If C is a simple connected piecewise smooth curve which enclose the region R then the flux of the…

Q: Find the area of the region under y = 9ln(4x) and above y = 6 for 4 ≤ x ≤ 7. Round your answer to…

A: y = 9ln(4x), y= 6, 4<= x<=7

Q: An agent for a residential real estate company in a suburb located outside a major city has the…

A: scatter plot

Q: 1. Explain using the difference quotient how derivatives from first principles provide us with the…

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Q: 2. Find the angle between vector [2, -5,7] and vector [6,4,1]

A: Vector [2,-5,7] and vector [6,4,1]  We have to find angle between these two vectors

Q: Find a Cartesian equation for the curve r = 1 Identify the curve. O parabola O line O ellipse O…

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Q: Find the surface area of the part of the plane z = 5 + 4x + 2y that lies inside the cylinder x² + y²…

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Q: Evaluate the integral, [ (In S (ln(x))² X -dx

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x + 2. Then use the factor…

A: Given: f(x)=2x6-8x4+x3-1 We are required to: Use the remainder theorem to find the remainder when…

Q: Use Green's Theorem to evaluate 0 F = √+4y, 3x + 4y) C is the boundary of the region enclosed by y =…

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Q: 1₂0 xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

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Q: Suppose that f(x, y) = 5x + 5y at which {(x, y) | -5 ≤ x ≤ 3, -5 ≤ y ≤ 3} D Then the double integral…

A: f(x,y)=5x+5y at which {(x,y) | -5≤x<3, -5≤y≤3}

Q: Evaluate the definite integral by interpreting it in terms of areas. 9 [(5x (5x – 20)dx 3

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Q: (4) Find an appropriate choice of u and dv for integration by parts of f(ln(x))².dx. B)u Inx,dv=dx =…

A: ∫lnx2dx

Q: 2. x==cose y=2 sine 0≤0≤n 2 a. Sketch the curve. (Make a table of values, plot points, then check on…

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Q: Find a Cartesian equation for the curve. r = 8 sin(8) + 8 cos(8) Identify the curve. Ohyperbola O…

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Q: 11. Mr. Gold wants to give her daughter $150,000 on the day of her 20th birthday by investing money…

A: To solve the following problem and find the solution

Q: Find ford xdy + ydx, where C is the arc of the curve y = e for 0 ≤ x ≤ 6

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Q: Textbook @ Videos [+] Given that the graph of f(x) passes through the point (2,6) and that the slope…

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Q: Let a be a nonzero constant such that a 39. Let f(x, y) = ax² + sin y 39x² + y² L = lim(z,y)-> (0,0)…

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Q: Find df (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0} 500 3 X

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Q: L10 (a) Estimate f(x)dx.

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Q: - Compute the flux of the vector field (z², — zy5), out of the rectangle with vertices (0,0), (2,0),…

A: We have to find the flux of the vector field from the rectangle.

Q: Find the flux of the vector field F = across the part of the plane z = 1+ 2x + 4y above the…

A: Vector field F=y,-z,xwe have to find  flux across the part of the plane z=1+2x+4y  above the…

Q: Find Lady + yda, where C is the arc of the curve y = e² for 0 ≤ x ≤ 3

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Q: 3. 5. √x+2) (3x - 1) dx 22³-4 [24² da

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Q: Cosine functions nd quotient rules other functions e f Inverse of Functions Given 1. Mixing rules:…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: . The function y = 3|x|- 1 is reflected across the y-axis to produce the function g(x) What is the…

A: The function is y=3x-1

Q: Determine whether the series converges or diverges. Justify your answers. 17) 3 Inn

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Q: Given F = f(x,y,z) = , find a function f so that F = Vf + K Use your answer to evaluate [₁ x = t², y…

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Q: e [xy¹ xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We have to evaluate the integral. To evaluate integral first we will parametrize it and then…

Q: f'(a) = = 3x² + x; a = -4 3x^2+x Your answer cannot be understood or graded. More Information

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Q: 52-57. Choose your test Determine whether the following series con- verge or diverge. 52. 8 54. Σ…

A: (55). The given series is:∑k=0∞ kk2+1