Use partial fractions to find the area of the given region. 7 16x² y = y 3

Q: What are the polar coordinates of the rectangular coordinates (-√3, 1)? (4, 11) (2, 11) (4, 5) (2,5)

A: NOTE: Refresh your page if you can't see any equations. . the given rectangular coordinate is, .…

Q: Determine whether the graph in the figure is the graph of a function. 29. YA X

A: We have to check whether graph is a graph of a function or not.

Q: (b) y = ln(cos x) on the closed interval 0 ≤ x ≤ π/3

A: The length of curve y=fx is∫ab1+dydx2dx

Q: Find the work done in winding up a 300-ft cable that weighs 4.00 lb/ft. O 180,000 ft-lb O2400 ft-lb…

A: To find the work done in winding up a 300-ft cable that weighs 4 lb/ft.

Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

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Q: Find the area of the surface generated by revolving the curves about the x = sin t, y = 1 + cos t, 0…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The given differential equation is;  9y''-16y=sin(x)

Q: 5-46 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the round.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloid x…

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Q: Given below are descriptions of two lines. Line 1: Goes through (-4,10) and (0,4) Line 2: Goes…

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Q: The function y = Ce-2 +3 Solves the differential equation y' + 3y = -2y + 6. O true false

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Q: В (9,-8)

A: We know that the vector= Terminal point -initial point

Q: For the function, evaluate the given expression. y) = \n(x² + y²), find g(0, e) g(x, y) g(0, e): =

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Q: Use implicit differentiation to find дz дх дz ду || || 9yz + x In(y) = 22 z2 X дz дх and дz ду

A: By using the implicit differentiation to find ∂z∂x and ∂z∂y. 9yz+x lny=z2

Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

Q: Subject :- Finance    Bob will run at least 37 miles this week. So far, he has run 22 miles. What…

A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…

Q: 1-16 Evaluate the line integral, where C is the given curve. 1. fcyds, C: x= t², y = 2t, 0≤ t ≤3

A: To evaluate the following line integral. ∫C y ds, C: x=t2, y=2t, 0≤t≤3 Note: Since, the student has…

Q: 3. Find the linear unbounded operator A and its domain D(A), and write the system in the form U₁ =…

A: We need to find the linear unbounded operator A and its domain D(A), and write the system in the…

Q: Find a formula a,, for the n-th term of the following sequence. Assume the series begins at n = 1. %…

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Q: Evaluate the surface integral ¹ // F F. ds for the given vector field F and the oriented surface S.…

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Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A: The given surface is:f(x, y, z)=2x2-3y2+2z2-17   The given point is:  P=-1, 1, 3

Q: Consider the equation 4x - 9y = 18 A line parallel to the above line would have a slope of A line…

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Q: Let M be a hermitian matrix. Fill in its missing entri- M = -3 -9 - 5i 1 - 2i -4 −6+2i 0

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Q: Find an equation for the plane tangent to the given surface at the specified point. x = 2u₁ y = u² +…

A: We have x=2u, y=u2+4v, z=v2, at (0,8,4). Then we have to find an equation for the plane tangent to…

Q: 10. lim 1-0 e³1 - 1 t

A: We have to find the limit: limt→0e3t-1t

Q: (b) Use the function to find T(30,000). $ (c) Find the tax due on a taxable income of $120,000.

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

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Q: Question 10 Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: The given values are: m=6        and        n=1v=-4, 7

Q: 1) Consider two planes, y - 3z = 1 and 2x + 2y - 5z = -6. a. Find the line of intersection of the…

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Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

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Q: 7. Sketch the region enclosed by the given curves and find its area. y = sin x, y = cos x, x = 0,…

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Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=<1,-3>, b=<-1,2> Find 4b-5a

Q: Use a graphing tool to represent the function and approximate the limit. Write an approximation to…

A: Given :- limx→0(e2x-1)x To find :- Use a graphing tool to represent the function and approximate the…

Q: Find the formula for dif dx ln(x² + y²) = xy² + 1.

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Q: Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t))…

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Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

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Q: 3. For each problem, find the area of the surface obtained by rotating the curve about the given…

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Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: SLO C. Use parametric equations and polar coordinates to graph, differentiate and integrate…

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Q: 6. Prove that x² dx b³ - a³ 3 3

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Q: f(x) = x + 1 X

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Q: Match each of the following vectors with its magnitude. t = (-7, 1) u = -2i-8j a vector with an…

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Q: ind the equation of the curve whose y" = ○ y=2 sin-¹ (2) — 4³-√3 -1 - O y = y = sin¯¹(x). X sin (x)…

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Q: If y(t) = -² -1 and a(0) = 1, then d(t) = -2t + 1. false true

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: Write each of the following principal values in Cartesian form (i.e., in the form a + ib where a, b…

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Q: 5. f(x)=x² + 8x - 64, what's the minimum point of f(x)?

A: We have, f(x) = (x ^ 3)/3 - 9/2 * x ^ 2 + 8x - 64