Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on the interval [-1, -3].

Q: Solve the following. 1. Find the volume generated by revolving the first-quadrant area bounded by…

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Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0

Q: A large boat is pulled toward a dock by a rope. The rope is attached to the bow of the boat which is…

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Q: Q5: Find the inverse Laplace transform of: f(s) = 3²(²-3)

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Q: Solve the differential equation. 15. 2x ( 3x + y – ye^-x2) dx + (x^2 + 3y^2 + e^-x^2) dy = 0

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Q: x²-3 (x-1)² . Analyze and sketch the curve given by f(x)=- if y': 2(x-3) (x-1)³ 4(x-4) (x-1)* and…

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Q: Create a question related to the 2-D side of the shape. Related the question to vectors and then…

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Q: 4. Find the area of the region enclosed by x = 2y+3 and x = y².

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Q: Calculus I

A: Differentiate and put the respective values.

Q: If a force of 128 lbs is required to stretch a 10-ft spring by 4 ft. How much work is done by…

A: Here we have to use the concept of integral calculus

Q: Find the volume of the solid generated by revolving about the y-axis the region in the first…

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Q: Give a general solution of the differential equation y"—4y'+13y=4e¯5t .

A: To find the general solution of the given differential equation.

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = Σ n…

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Q: Solve the differential equation. 3. (6x + y^2) dx + y (2x – 3y) dy = 0

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Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: A farmer plans to enclose a 200 ft^2 rectangular field that borders a straight river. He needs no…

A: The solution is given in the next steps.

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz

Q: A conical vessel is 12 m across the top and 15 m deep. If it contains water to a depth of 10 m, find…

A: We need to consider a section and then integrate accordingly.

Q: Use synthetic division to find the quotient and remainder when 2x3 -8x2 -1 is divided by x

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Q: √-x if x1

A: Sketch the graph of f(x) Given information; The function is fx=-x,   x<012x,      0≤x≤12x-x2,…

Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

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Q: 3 f(x) = x³ + 2 right left [-1,1] n = 2 9=1 & middle hand rule b =

A: find out the left, right and mid riemann sum.

Q: Use a calculator to evaluate the expression.   Round your answer to the nearest hundredth.…

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Q: 6. cos x sinỗ xdx

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Q: Q:1) Evaluate the line integral: [[xy'dx+x²ydy] C: [(x, y): x=t₁y=f²,0 ≤t≤1].

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Q: Use the Factor Theorem to determine whether x+1 is a factor of P(x)= 2x4 +2x3 -6x2 +6…

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Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: A group of 4 journalists is to be chosen to cover a murder trial. There are 4 television…

A: Let's find number of groups can be formed.

Q: Solve linear diff eq dy/dx = e^(-x) -4y ; y(0)=-10

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Q: sin () cot ()+cos ( cos (1) sec (7)

A: We use  sin(π+x)=-sin(x) cot(π-x)=-cot(x)  sec(π+x)=-sec(x)

Q: b. S sin (3x) cos¹ (3x) dx

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Q: A teenager is selecting which options they would like for their ice cream treat from the list below.…

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Q: (a) Does the point P(1, 2, -1) lie on the line & given by the vector equation (x, y, z) = (2, 1, -2)…

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Q: Find the general solution for the following Deferential Equations using Undetermined Coefficients…

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Q: Find the solution of the given ODE. * x² + 3y² y 2xy Y = 1 Option 1 1 8 85 x = Cx = Cx 2 1 + ( ² ) ²…

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Q: x. e²ydy + (*²*¹) dx = ( 0 (Variable separable)

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Q: An ice cube is freezing in such a way that the side length s, in inches, is s(t)=t+6, where tis in…

A: Write down the equation of the volume.

Q: Solve the differential equation. 13. ( sin θ – 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0

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Q: Solve the differential equation. 7. (cosx cosy – cotx) dx – sinx siny dy = 0

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: (2z +5, z 5 From the following results, determine whether the function f(z)-10, conclusion. (1)…

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Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

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Q: Ismael made an error when he was evaluating log3 27 - log3 9. Ismael's work log3 27 - log3 9 log, 27…

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Q: Determine whether the statement is true or false. An equation of the tangent line to the parabola y…

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Q: 3/ 10. Find the arc length of the curve y = x/2 +4 from x = 4to x = 9.

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Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Using the graph of g(x) below, answer the following questions. a) Where is g′(x) > 0?     b) Where…

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Q: Problem 2. A cylindrical can without a top is to be made to have volume 100cm³. Find the radius of…

A: We have to use a concept of derivatives