The area under one arch of y=sin(0.5x) is O 0.2 O 0.5 O 0.8 None of them

Q: Determine if 4x² + y = -5 is an ellipse. O Not an Ellipse O Ellipse, we can write the equation of…

A: Here given that 4x2 +y =-5  now  4x2 = -(y+5) x2 = -(y+5)/4

Q: Use the graph to determine the intervals on r concave downward. 10 4 1.5 X 10 а.

A: Here we have concave upward and concave downward.

Q: Question iven f(x) below, find f'(x). rovide your answer below: f'(x) = f(x) = - Scot ² COS t³ dt…

A: We have to find derivative

Q: Consider the following. 4x -y + z = 6 Sketch a graph of the plane... O Y_6 X6 Y_6 X6 4 -4 4 2 N N 6…

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Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: Let y = 2√x. Find the change in y, Ay when x - 2 and Ax - 0.3

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Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: Use an appropriate linear approximation to estimate (Round your answer to three decimal places.)…

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Q: 5. The graph shown here is the graph of g'(t). area = 2 area = 2 PUA 5 We know that g(0)=5. Use this…

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Q: Can you present the solution in a different format. I do not understand what the solution is…

A: Let's solve given diffrential integration.

Q: Find the volume of the region bounded above by the sphere r = 2a cos0, and below by the cone = a…

A: Given: the sphere r=2a cos theta , cone ϕ=α0<α<π2

Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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Q: Question Given F(x) below, find F'(x). Provide your answer below: F'(x) = F(x) = ™* In (6t – 3) dt

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Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

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Q: Question Find the linear approximation L(x) of the function f(x) (Enter an exact answer.) Provide…

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y"" + 2y" - y' - 2y =…

A: Solution is given below:

Q: If the angle creates the point Give exact values. No decimals allowed! If the value doesn't exist,…

A: Given that the position of point on unit circle is -223,-13 making an angle We need to find the…

Q: Evaluate the line integral C:y² = 30x from (30,30) to (0,0). NOTE: Enter the exact answer. [-ydr +…

A: line integral

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Break the limits according to f(t)

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

A: Given: 400 litres of brine are kept in a tank. The tank receives 12 litres of brine each minute,…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}

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Q: Use the information given about the angle 0, 0s0s 2x, to find the exact value of each trigonometric…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is the coefficient of the term containing x^7y in the expansion of (3x + y)^8?

A: Topic = Algebra

Q: Solve the system using Cramer's Rule. 2x + 5y = -25 -x+3y=-4 Find the determinant D (denominator).…

A: Please refer to the image below

Q: Set up an integral with appropriate limits for the average value of the function, f(x, y) over a…

A: Solution: y =|x| Let : f(x) = |x| The average value of a function favg Because f(x) and favg bounded…

Q: r = 17 sin 2t i - 17 cos 2t j

A: Given equation r= 17 sin 2t i- 17 cos 2t  j

Q: Suppose that f(x, y) = = y√x + 1 on the domain D = Then the double integral of f(x, y) over D is […

A: Given function is f(x,y)=yx3+1 and domain is D=x,y 0≤y≤x≤3 We need to find the double integral of…

Q: Solve: x"(t) + 2x'(t) + x(t) = 3t e-t x(0) = 4, x'(0) = 2 Evaluate: F(2) = Evaluate: f(1) =…

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Q: 1 *{{37² +3=6} S

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Q: multiple

A: We have to find the value of the given integral according to the given information

Q: 4). Use the Integral Test to determine whether the sum converges. ∞     n = 1 n 1 + n2

A:

Q: What is the gradient of f(x, y) = x² - y4 at the point (5, 2)? O 5i + 16j O -15i-16j O -6i + 13j O…

A:

Q: handwritten

A: Please refer to the image below

Q: Find div F if F(x, y, z) = (x² + y)i + z² j + (ey - z) k. O 2x - 1 O 2xy - 1 O 2xi-k O 2xy i+ k

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y(7) = 5, t > 0 y = cos(t)…

A: As we know that; The standard of the First order linear differential equation is: dydt+Py=Q Where, P…

Q: Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) =…

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Q: What is the gradient of f(x, y, z) = x³z2 + y³z +125z - 1 at P(5,5,-1) ?

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: The given nth term is: an=27n+7 Determine the convergence or divergence of the sequence with the…

Q: What is the directional derivative of f(x,y,z) = ln(x²+2y²+ 4z²) at the point P(-1, 2, 4) in the…

A: The given function is; f(x,y,z)=ln(x2+2y2+4z2) Point P(-1,2,4) u=-3i/13 -4j/13 -12k/13.

Q: Find the area of the region inside the inner loop of the limaçon r= 1 + 2 cos 0.

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Q: Ju ox Əv oy 으 0x1 10/24 0 어 xiye Ug xzty? zi @u + v = oxy UXO u ox + Ju ag - = U - (x+y? +c)2c +…

A: Differentiate partially with respect to x and y

Q: Determine the smallest degree of the Maclaurin polynomial required for the error in the…

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Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: Find the solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

Q: Find div F and curl F if F(x, y, z) = 9y¹zºi – 14x³z7j — 5xy³k. div F= curl F=

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Q: appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace 1 { (s² + 1)(s² + 25).

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral 00…

A: Graph of a function f(t) is given, we can deduce that the line from x=0 to 1 is linearly decreasing,…

Q: Determine whether the differential equation (8x² - 2xy + 2) dx + (7y² - x² + 8) dy = 0 is exact. If…

A: To solve the given differential equation