Identify the type of conic section whose equation is given. 2x2 = y2 + 2 parabola ellipse     hyperbola Find the vertices and foci.

Q: 6. Evaluate the following real integrals by residue theorem 3 T 211 I- -S do coso + 2 sing +3 ans o…

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Q: Calculate the following line integrals in a counterclockwise direction around the triangular path as…

A: Let's solve given double integration.

Q: Use Simpson's 1/3 rule with (n₁ = 2), and Simpson's 3/8 rule with (n₂ = 3) to estimate tan-¹(2).…

A: We have to estimate the given function.

Q: 6 4 If f(x) = 4+ + I I find f'(x).

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Q: Find the derivative of f(x)=(x2−2x)(3x+5) by first multiplying then simplify.

A: Here we have to use the concept of derivatives

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Q: The masses m, are located at the points P. Find the center of mass of the system. = 2, m3 4, m2 6.…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Find the derivative of f (y) = 9 tan (y) V 2 12 y³√√

A: To find the derivative of the below expression. fy=9tany−y2−12y3y

Q: Find the average value of the function over the given solid. The average value of a continuous…

A: Average value of the function = 1V ∫∫∫E f(x,y,z) dzdydx .

Q: adder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

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Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

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Q: Find the x-values (if any) at which is not continuous. Which of the discontinuities are removable?…

A: topic- limits and continuity

Q: Find f. f(t) =|| f"(t) - 3et+ 5 sin t, f(0) = 0, f(T) = 0

A: To find f.f''t=3et+5 sin t, f0=0, fπ=0

Q: A vector with magnitude 9 points in a direction 160 degrees counterclockwise from the positive x…

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Q: Find the limit: ху lim (x,y)→(1,1) x² + y²

A: Apply the limits

Q: Let - fot² Find the average value of f on the interval [0, 1]. f(x) = dt.

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Q: Use Green's Theorem to evaluate the line integral (y - x)dx + (2x - y)dy

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Q: x=2x+1 y -2 4 3 2 > 2

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞,00). f₁(x)…

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Q: 4. (x-1)(2x³+2x²+3x+2) dx x³ (x+1) r 5. csc ³0 de

A: We have to integrate question no 4 and 5.

Q: (a) cos(8): = √2 2

A: answer is in next step. please give a like .

Q: Suppose that a particle moves along a straight line with velocity v(t) = 7 - 3t, where 0 ≤ t ≤ 0.5…

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Q: Find an equation for the graph above.

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

Q: The area of the region inside the circle r = 6 cos 0 and outside the cardioid r = 2(1 + cos), a > 0…

A: Given: the circle r =6 cos θ and the cardioid r=2(1+cosθ )

Q: y=x² + 8x - 9 -intercept: (x, y) = -intercepts: (x, y) = (x, y) = (smaller x-value) (larger x-value)

A: Given query is to find x and y intercepts.

Q: For the differential equation y(n) + p₁(t)y(n-¹)+...+Pn(t)y = 0 with solutions y₁, ·, yn Abel's…

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Q: □ on show that f(x)= 3x is inte the integralble definition. I043 uning [0,4]

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Q: (5). a. The length of one side of a square tile is 1½ feet. Determine the area of the tile in square…

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: Find the Jacobian (x, y) / d(u, v) for the indicated change of variables. x=u-v², y = u + v a(x, y)…

A: Follow the procedure given below.

Q: 5. The sum of thrice a number and two equals 6 less than four times the number. Find the number.

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Q: Choose the correct answer by changing the order of integration of the following iterated integral…

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Q: Use the indicated change of variables to evaluate the double integral. 56xy dA x = 1/2 (u + v) y =…

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Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = 0 y(x) =

A: We need to find general solution.

Q: Find the power series for f(x) = 123 (1 − x4)² in the form Σ an. n=1 Hint: First, find the power…

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Q: Perform Vector Operations in Terms of Components Write the vector shown below as a combination of…

A: Given problem:-

Q: Sketch the graph of the equation by point plotting. y = 5-x² -3 X y -2 0 2 3

A: Sketch the graph of the equation by point plotting

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given solution is y=C1+C2x+C3e4x

Q: Determine whether the vector field is conservative. F(x, y) = (7y - x²)i + (7x + y)j conservative…

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Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: Use Green's Theorem to evaluate the line integral. √y² dx + xy dy C: boundary of the region lying…

A: We have to evaluate the integral.

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) 4 (a) lim f(x)= x-c+…

A: A function is continuous at x = c iff limx→c+f(x)=limx→c-f(x)=f(c)

Q: For the differential equation y(n) + P₁(t)y(n-¹)+...+Pn(t)y=0 with solutions Yı, •, yn Abel's…

A: We have to find the Wronskian of a fundamental set of solutions of the differential equation.

Q: Find div(F x G) = V. (F x G). F(x, y, z)= i + 7xj + 8yk G(x, y, z) = xi - yj + zk

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Q: Express the number as a ratio of integers. 1.325 1.325325325.... -

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Q: Find the indefinite integral by making a change of variables. 1 √ 4 + ²√2x² dx

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Q: Suppose the dollar cost of producing x video cameras is…

A: We need to find marginal and average cost.

Q: find the derivative of V(t)=260e^(0.6298t

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