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A: To evaluate the integral: ∫π2π∫0u2sintudt du
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A: Here, the differential equation is of the form dydt=ay+b⇒dydt=ay+ba⇒dyy+ba=a dt⇒∫dyy+ba=∫a…
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Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis and…
A: Given problem is :
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Q: • show that (x, y, z) = PDE : 2²4 ахг 824 дуг + 2 x² + y² + z² = 0 8²4 dz² satisfies the
A: This question can be solved using the concept of partial differentiation.
Q: 3. Determine the roots of y"" - 4y" + 3y = 0 a. 0, 1, 3 b. 0,-1, -3 c. 0, 1, -3 d. 0,-1, 3
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Q: In 3 2 – sinh x tanh x cosh x dx
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Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0
A: Given (y-cos2x)dx+cosxdy=0To find general solution:
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Q: Find the surface area of the composite figure. 14 ft 9 ft 9 ft 18 ft 10 ft SA 10 ft 10 ft 10 ft 14…
A: Concept: Area of the triangle=12base×heightArea of the square= side2Area of the rectangle=length…
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A: Given ∫-13∫02x2-y22x+ydudt Since x2-y22x+y is constant with respective u and t, we take constant out…
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A: To evaluate: Integral
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A: Topic = Integration Correct option = B
Q: Choose 1 answer: A 13 klo ㅠ 4t2 + 16 sec4 (t) dt
A: Please refer to the image below
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A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…
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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =
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Q: A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0))…
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Q: Solve for x the following inequality and show their solution set {x: x2-x-30≤0}
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Q: Let R be the region enclosed by the polar curve r (0) = 1 + 2 cos² (0) where ㅠ 0≤0 ≤ iss 3
A: This is a problem related to area bounded by the region. Based on the formula of polar curve we will…
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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 13x)y², y(0) : =…
A: Given,dydx=(1-13x)y2 y(0)=-16
Q: 5. Determine the roots of y"" - 3y" - y' + 3y = 0 a. 1, 1, 3 b. 1-1, -3 c. 1, 1, -3 d. 1,-1, 3
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Q: (2) Z/(5) =....... (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}
A: We have to find the operation
Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х ucx, c) - че 2 (зу-2х)12 ans3-…
A: To find the general solution of the given PDE .
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Q: 2. The Substitution Method states that A. If F'(x) = f(x), then [ f(u(x))u' (x) dx = F(u(x)) + C B.…
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Q: Evaluate the integral. ƒ ƒ6(x³ - y³)²dA = □ (Type an exact answer.) R
A: ∫-11∫016x3-y32dA
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Q: 6. The value of A. sin ¹¹x + √1 + x² + C B. sin-¹ x - √1 + x² +C C. sin-¹ x + √√1- x² +C D. sin…
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Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…
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Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…
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Q: x² 1) Let f(x) (Figure 24). Verify the following: x 1 (a) f(0) is a local max and ƒ(2) a local min.…
A: Question a,b , c are solved. Solving more than 3 sub part are against the policy of bartleby.
Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…
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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…
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Q: x = e¹0t y = t³ Which integral gives the arc length of the curve over the interval from t = a a to t…
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Q: please do the second (b)
A: Let's find volume when rotated about y axis.
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Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2e5t sinh(7t) — t8…
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Q: It is given that the radius of the semicircle increases at the rate of 0.5 cms -1 when heated.…
A: Given , The radius of the semicircle increases at the rate of 0.5 cm s-1 when heated We have to…
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