[s 3 sin³ (x) cos(x) dx

Q: Represent the function CO = Compute the first few coefficients of this power series: C1 C2 C3 || ||…

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Q: Show that F is a conservative vector field. Then find a function f such that F= Vf. 11) F(x,y) =…

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Q: Hi, I think you misread the question, sorry

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Q: Let f(x) = 2 cos5 x f'(x) =

A: Given query is find the derivative.

Q: Resuelva dy 2xe* -y+6x² dx

A: The given differential equation is:xdydx=2xex-y+6x2

Q: Evaluate. Be sure to check by differentiating. Se5x+3 dx

A: ∫eaxdx=eaxa+cdeaxdx=aeax

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Q: Write the linear system associated with the matrix. The variables of the system are a and a, their…

A: GivenThe variables of the system are a and x and their coefficients appear in that order in the…

Q: Find the area of the region that lies above the x-axis, below - t with 0 ≤ t ≤ 1. the curve x = t² +…

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Q: R is the reduced row echelon form of Q. Find a basis {b₁,b2, ..., bn} for the null space of Q. Q b₁…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (8x…

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Q: Describe the end behavior of each func 3 15) f(x)=x²-x³-4x² +6

A: f(x)=x4-x3-4x2+6

Q: Find the interval of convergence of the series

A: Given : Ratio test

Q: Find the points on the curve x = t² – 4t – 3, y = t² + 18t + 6 that have: - A. a horizontal tangent…

A: To find the points where the given curve has horizontal and vertical tangents.

Q: Assume p and q are real numbers. Suppose you want to prove that Select all that apply. a a In (²) ²)…

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Q: 4) Compute the area of the region below the sine curve and above 5π/4 using iterated integrals. the…

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Q: Evaluate the limit: (a) lim h→0 (b) lim (2+h)²-4 h √x² +9-3 r.² 2

A: NOTE: Refresh your page if you can't see any equations. .

Q: [13xy dx + (x+y)dy C for the path C. boundary of the region lying between the graphs of y=0 and y =…

A: L

Q: Sketch the graph and show all local extrema and inflection points. xx-ga

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Q: 9x² - 20x - 6 x(x + 2)(4x + 3) Determine the correct partial fraction decomposition for the…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Change from degrees to radians. 10) 875°

A: we know that    1°=π180 radian

Q: Find the value for the function. 20) Find f(x + h) when f(x)=-3x2 + 2x + 5. A) -3x2 - 6xh-3h² + 2x +…

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Q: 11. S(4+ √x) dx

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Q: 7. Sketch the region of integration and write the integral with the order of dydx. In 2 2 To Se dx…

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Q: Find the area of the region enclosed by the given curves. 1. y = sin x, y = x, x = π/2, x = π

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Q: (34) Find the area of the region bounded by the parabolas y = x² - 4 and y = 2x²+x-6.

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Q: Use l'Hospital's rule to find the limit. You must show the indeterminate form, etc. All details for…

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Q: Evaluate. e 1 5x + X dx

A: ∫xndx=xn+1n+1+c∫1e(5x+4x)dx=5∫1exdx+4∫1e1xdx∫1xdx=lnx+c

Q: If <0 find Vx² + x. Check your answer by plugging If x < 0 find x¹2. Check your answer by plugging x…

A: Given query is to find the value of the expression.

Q: dy 1) Find if y=3(x - 6x + 1) dx

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Q: Calculate the iterated integral. 5) (0/1)(0x) cos(x²)dydx

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Q: 14. 15. Find the area bounded by y=-x² and y=2x. Find the average value of y=4x³ + 2x over [-2,5].

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Q: Find 11 circular arcs. a. f(x) dx for each graph of y = f(x), where f(x) consists of line segments…

A: Part b of the question has been solved as per the requirement of the student.

Q: Determine whether the following limit is equal to ∞, -∞ or some specific value. Answer: ∞ ·∞ lim…

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Q: 30) cosß

A: in fourth quadrant cos is positive and tan is negative

Q: Use linear approximation to approximate √64.4 √64.4

A: formula for linear approximation is  L(x)=f(a)+f'(a)(x-a)for approximation of  64.4 , assume a…

Q: Find the numbers b such that the average value of f(x) = 7+ 10x - 9x2 on the interval [0, b] is…

A: GivenThe average value of the function f(x)=7+10x-9x2 on the interval [0,b] is equal to 8.   We are…

Q: Consider the right triangle shown below where a = 7.57, b = 11.54, and c = 13.8. Note that and are…

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Q: 26. Question attached

A: Cos and sin are negative in third quadrant

Q: Find the gradient field of the function g(x,y,z) = 7xy + 2yz + 4xz. Vg=[ (Type your answer in terms…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: The nth term of an arithmetic sequence is given. an = -8-4(n-1) (a) Find the first five terms of the…

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Q: Suppose the demand for a certain brand of a product is given by D(p) = 104 -p² price, in terms of…

A: The answer is given in step 2

Q: Find and simplify the difference quotient of f, f(x + h h 22) f(x) = 1 3x A) 0 f(x+h)-f(x) B) -1…

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Q: K Find f(g(x)] and g[f(x)]. X x)=√ +7₁ 4 f(x) = f[g(x)]= g[f(x)]= +7, g(x)=2x-1

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Q: 9) cos x = cos2x

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Q: Evaluate using integration by parts. S 5xex dx O O 5ex - 5xex + c 5ex-ex + C 5xex - Бе* + C Xét Sex…

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Q: For the following expression, find the correct partial fraction decomposition. 8x²2 +17x-35 (3x − 1)…

A: For the following expression, to find the correct partial fraction…

Q: Determine whether the following limit is equal to ∞, -∞or some specific value. Answer: ∞ -∞ √x64 lim…

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Q: Given the series: Σ9 (8) k=0 k

A: