Question 4 of 10 < > Evaluate the integral [(8 + sint) ³ cost dt using the substitution u = 8 + sint. [(8 + sin t)' cost dt = +C

Q: Let F(z) = ™* sin(6t²) dt. S Find the MacLaurin polynomial of degree 7 for F(x). 2x3 -x7 36 7 Use…

A: F(x)=

Q: Find, where y is defined as a function of x implicitly by the equation below. x² + x¹y³ = -3 Sorry,…

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Q: Find the present value. Round to the nearest cent. To get $10,000 after 3 years at 6% compounded…

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Q: Compute all the second order partial derivatives of f(x, y) = x² cos(y).

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Q: Match the graph off with the correct sign chart. Now, use all of the gathered information to choose…

A: A graph of the function is given.The aim is to find the sign chart of the derivative function.

Q: Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 2 2…

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Q: Solve the following triangle. A = 20°, B=10°, a=2 0 C≈ (Simplify your answer.) ba (Type an integer…

A: A=20 degreeB=10 degreea=2

Q: Find the area of the parallelogram whose vertices are given below. A(-1,3) B(1,0) C(7,1) D(5,4) The…

A: The given points .The aim is to find the area of the parallelogram ABCD.

Q: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

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Q: 12) Consider the following. (If an answer does not exist, enter DNE.) f(x)=2x³-9x² - 24x a) Find the…

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Q: Let f be a function of x. Which of the following statements, if true, would guarantee that there is…

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Q: 1 Estimate the area under the graph of f(x) = x+2 rectangles. Round your answers to four decimal…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Round 43.61 to two significant digits. 1

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Q: he letters x and y represent rectangular coordinates. Write the given equation using polar…

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Q: b. C. 8 x3 x5+2 d. So 8 dx √₂ √x²-x dx dx x+√x

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Q: = · (x² + 2x − 12) (x³ + x² − 12x). If there is more than one answer, enter your answers as a comma…

A: The objective of this question is to find all the zeros of the given function. A zero of a function…

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: f(x)=5x-2, a=1

Q: Identify the degree, leading term, leading coefficient, constant, and the number of terms of the…

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Q: Let f(2)=√4z² + 6z Determine the derivative of f. f'(z) =

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Q: Question Determine f'(x) if f(x) = x¹0 arcsec(x). Provide your answer below: f'(x) = [

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Q: Find the average value of the function f(x) = x² – 23 on [0,3].

A: Find the average value of the function f(x)=x2−23 on [0,3]fave =1b−a∫abf(x)dx

Q: Find the area of the region described. The region bounded by y = 4x³ and y = 100x

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Q: Solve the equation on the interval 0 ≤0< 4 sin 0+3=1

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Q: Use an appropriate test to determine whether the series converges absolutely, converges…

A: The Ratio TestFor the Ratio Test, we consider the limit:L=limn→∞|an+1an|Where an is the nth term of…

Q: A box with a lid is to be made from a rectangular piece of cardboard 12 cm by 17 cm, as shown in the…

A: The equation that gives the volume of the box in terms of the length of is: To find the domain of…

Q: Let f be the function defined by f(x) following statements are true? 1. The graph of f has a…

A: Consider the function

Q: Evaluate π [15. 0 T $15 0 15. 1 - cos x 2 1 - cos x 2 dx = dx.

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Q: Sketch the region enclosed by the curves y = 1- cosx, y = sinx, x=0, x= π/2. Find the area, A, of…

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Q: Over which interval of a values is f'> 0? THE FREATES 10000 DE TO PREORDED 1232528287 OSTALBOTER…

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Q: 36. a(t) = 2t (t² + 1)² ; v(0) = 0; s(0) = 0

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Q: Determine r' (x) for r(x) = Provide your answer below: r'(x) = sin xex cos x using logarithmic…

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Q: Use implicit differentiation to find dy/dx. 9. (3xy + 7)² = 6y

A: NOTE: As per our guidelines, I have solved one question (Question number 9). If you want solutions…

Q: 76. Periodic motion An object moves along a line with a velocity in m/s πt given by v(t) = 8 cos Its…

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Q: A point moves along a straight path. The function f(t) = log₂ (t) determines the distance (in…

A: The function  determines the distance that the point traveled in terms of the number of seconds.The…

Q: The price-demand equation for a particular flashlight is given by p = 111-0.004x, where x is the…

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Q: Find a power series for the function, centered at c. 8x x² + 6x - 7 g(x) = g(x) 00 Σ n = 0 = c=0…

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Q: Provide your answer below: q'(x) = FEEDBACK MORE INSTRUCTION SUBMIT

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Q: Let f be a continuous differentiable function on [-3,4]. If ƒ(−3) = ƒ (4), then ƒ is guaranteed to…

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Q: = present in 450 years? A) 32 grams B) 10 grams C) 4 grams D) 1 gram

A: Initial quantity of the substance = 64 gramsTime elapsed = 450 yearsHalf time of the substance = 75…

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 7 - 3x² - 2y² and below…

A: Region bounded above by the elliptical paraboloid z=7−3x2−2y2and below by the rectangle…

Q: The function f(x) = x¹ = 7x³ +9x² +27x - 54 can be factored in the form f(x) = (x-r₁)(x - ₂)². Using…

A: From graph zeros are ● The graph crosses the x-axis at .  with multiplicity 1● The graph passes…

Q: Please show all work

A: The objective of this problem is to evaluate the surface integral of the given vector field F across…

Q: Use the Root Test to determine whether the series converges absolutely or diverges. 1 3 1 6 2 + 1 9…

A: The Root Testlimn→∞|an|n=ρIf ρ&lt;1 then ∑n=1∞an is absolutely convergentIf ρ&gt;1 or…

Q: ,11 h(x) = x¹¹ arcsec(x).

A: h(x)=x11arcsec⁡(x)h′(x)=ddx[x11sec−1⁡(x)]Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Find the exact value, if any, of the following composite funct sin sin

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Q: 8) A triangle has base 10ft and the height 6ft. What is the area of the largest rectangle inscribed…

A: We have to find the largest rectangle inscribed in a triangle.we will need to maximize the area of…

Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: An open top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

Q: How long will it take to double an investment at 4.7% compounded continuously! nearest tenth of a…

A: Investment=PRate(r)=4.7% or 0.047A=2PTime(t)=?The formula is given by,

Q: In supply and demand problems, Q is the number of items the supplier will produce (or the public…

A: The supply equation is The demand equation is

Q: Find an equation for the hyperbola described below. Graph the equation by hand. Vertices at (0,-4)…

A: General equation of the hyperbola opens up and down