x2 (x− 1)(x4 +8x²+16) dx- S

Q: Solve the differential equation y' =a'y subject to the condition that y = e when x = 0. Preview

A: Y(x)=?

Q: Jo (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3,-5) X Evaluate -30

A: Here we have to evaluate        ∫c(2x-y)dx+(x+5y)dy    C: x-axis from (0,0) to (0,-5) and (0,-5) to…

Q: Let S be the surface with equation given on the image. a) Write the equation of the traces of S on…

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Q: The figure in this exercise shows a horizontal layer of the vector field of a fluid flow in which…

A: This is a problem related to vector field. Based on the formula and concept we will answer the…

Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

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Q: A 6 inch by 6 inch piece of cardboard has square cut out of its corners so that it can be folded up…

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Q: Find the average value of on the interval [0,3]. favg f(x) = x² √√√37 +20²³

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Q: Solve the following equations: a) 8d²y-dy 6 +y = 2x + 40 sin x dx² dx

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Use the graph on the right to answer the following questions. 35 304 a Estimate the pressure at…

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

A: To find  after completing the square  what will be the obtained polynomial.

Q: 6. (a) (b) (d) (e) True/false. Give a one sentence justification. A singular 2 x 2 matrix can have…

A: We have to state if the statements are true or false.

Q: dx Find -given that dt 7x² + 6y² = 13 x = 1, y = - 1, and Give your answer as a simple fraction. dx…

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Q: Calculate[ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating the product directly and then by…

A: r1(t)=6t i+ 4t2 j+ 4t3 kdr1dt=6 i +8t j +12t2 kr2(t)=t4kdr2dt=4t3 k

Q: f(x) = e²x cos(x) e2

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Q: Verify Green's Theorem by evaluating both integrals [1²0x + x² +1 = [] (2012 - 31²) A dy (ON-OM) dA…

A: Greens theorm is varified.

Q: Find T(t) and N(t) at the given point. r(t) = (t² − 3)i+tj; t=3 T(3): N(3) = =

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Q: sin $3xcos 3x dx

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Q: Non-Exact H.W: (2xy ey+2xy³+y)dx + (x²y^ey-x'y-3x)dy=0

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Q: Identify and sketch the graph of the equation in R³. Identify and sketch the graph of the traces as…

A: An equation is given                         -x+y2+z29=0We will name and sketch the graph of the…

Q: Verify Green's Theorem by evaluating both integrals √ y² dx + x² dy = √ √ ( Ox (ON-OM) c for the…

A: Here we have to verify the Green's theorem.

Q: ∫cos(7t) dt Evaluate indefinite anti-differentiation

A: LetI=∫cos7tdtPut 7t=uDifferentiate on both side7dt=dudt=du7ThereforeI=∫cosu17duTake the constant…

Q: Find the absolute extrema of f on [-2, 3] if f(x) = x² - 6x - 1 O √5 O 2

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Q: Find dy dx 1. y = (3-2x)³ (x² − 2)

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Q: 4. The Bernoulli's form of the differential equation x²dy + (2xy-y³)dx=0 is

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: The Maclaurin series for f(x) is given by f(x) = f(0) + f'(0)1!x + f''(0)2!x2 + f'''(0)3!x3 + …

Q: Find the volume generated by revolving about the y-axis the area bounded by the curve x^2 = 4(x-y),…

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Q: A circle is inside a square.

A: Let a be the side of square and r be the radius Let A be the area enclosed between the circle and…

Q: Find T(t) and N(t) at the given point. T(₁/) = N() = r(t) = 9 cos(t)i + 9 sin(t)j + tk; t = 2 ||

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Q: Prove the following statement: 2" ≥2n

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Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

A: Solution is done in step 2

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 4 -…

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Q: Evaluate the line integral [39a²³yzds with respect to s along the 2 curve C: x = t, y t, y = t²,₁…

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Q: Find the limit. lim (ti – 4 · 4 j + t² k) t→7 lim (t i − 4 j + t² k) = i 1→7 i+ i j+ i k

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Q: Find a simple closed curve Cwith counterclockwise orientation that maximizes the value of { v²dx + (…

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Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

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Q: dy (x + 1) dx = 1 x = 0; y=2

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Q: Evaluate the definite integral. (20ti+e-¹j+t kat

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Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x-y'dy=0 is

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Q: Calculate[ri(t) r₂(t)] and[r(t) x r₂(t)] first by differentiating the product directly and then by…

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Q: Find all solutions to the equation. 2 cos x cos x=0

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Q: and the limit. OTE: Enter the answer using round brackets. m t² +9 1 +0o 8t2 +9' 4t = (?, ?)

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

Q: Find the work done by the force field F(x, y, z) = xyi+yzj+xz k on a particle that moves along the…

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Q: Suppose that z = x²y³, where both x and y are changing with time. At a certain instant when x = 2…

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Q: The Bernoulli's form of the differential equation x³ydx+(3x4 - y³dy=0 is

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Q: second derivative of y with respect to x from the parametric equations given 4) x=√1-t₁y = t³ - 3t…

A: We can find the required 2nd derivatives as below

Q: (b) 3, 1, 1 1 1 3'9' 27

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Q: Solve the following X 1.0[₁-2x] i. D ii. D[xln (2x)] iii. D[cosx - 3 sin (2 x) ]

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Q: The Bernoulli's form of the differential equation x³ydx +(3x² − y³ )dy = 0 is

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Q: Scos2x (2 cos2x-1) dx

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