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Q: The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx...

A: To determine the solution of the following non‐exact differential equation.x3ey+xydy+1+2x2eydx=0

Q: Evaluate: / sin yeos'ydy. sin A) +C none of the given choices siny +C siny +C 8 (D siny siny E +C 8 ...

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

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Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

A: Given: - The differential equation is, 5yy'=x and y(5)=8 To find: - The function y(x) such that the ...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Š(- 1)*+'6 k! ...

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Q: Set up an integral that represents the length of the curve. = sin²(t), y = 1 –- 3 sin(t), 0 <t < T !...

A: The given problem is solved below.

Q: Evaluate the definite integral 7 (18x? – 2x + 9) dæ 3

A: Given,            ∫3718x2-2x+9dx

Q: The integral expression: 0c Ocos20 d0 can be evaluated by parts of the form: udv =uv – vdu. The prod...

A: solution is given below.. by integrtion by parts

Q: 6. - fycos ydy

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Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a...

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Q: The population of a certain species is given by N = 127 × 1.06t, where t is measured in years. What ...

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Q: Which of the following best describes the function below? S (x) ={** if.rso |-r² if 0 <.x A. Continu...

A: To find out the correct statement. 

Q: 90 cos(0) d0; u = 90, dv = cos(0) de %3D

A:

Q: 4- 1II Objective Knowledge Check Question 9 SARA V Español Consider the following system of linear e...

A: Reduced row echelon form

Q: Use integration by parts to evaluate the integral:

A:

Q: a) Determine the cosine of the angles of the triangle whose vertices are A(1, –-2, 1), B(3, 0, 2), C...

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Q: Evaluate: sin ycos ydy. sinºy A siny +C 8. 6. sin y sinsy + C 8. sin°y sin'y + C 8. - 6. sin'y + C 8...

A: Here we need to solve the given integral .  

Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: Question 8 TT Evaluate: " sin7 Cos4 dx

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Q: In (1.06)

A: answer of given question is in step 2

Q: solutions

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Q: Let u, v and w be vectors in Cn . Clearly prove that (u + v) · w = u · w + v · w.

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Q: The derivative of the function y = cot¬1(cscx) is: is: cSc X cot x y' csc x cot x y' csc²x+1 csc?x+1...

A: Find the derivative of the function

Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: 1. Find the derivative for each of the following functions Simplify and factor when possible! a) g(x...

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Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

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Q: 5. arcsin 1

A: Solution ) arcsin1 = sin-1(1) [ Sin (π/2) = 1 ] Sin-1(sin(π/2) ) =π /2 Or in radian = 1.5714

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider ∫sin(4-y)sin(3-y)dy=∫12(cos(4-y-3+y)-cos...

Q: cor-126 dp. Evaluate: A) B cot-128+ –In 1+462 + C 8. B B cot-12B –-In 1+462| + C 4 C B cot-12B-–In 1...

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Q: Find the vector component of v = (4, – 1, 7) alongb = (1, 2, –2) and the vector component of v ortho...

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Q: Question 6 Evaluate the double integral over the given region. S *+x4 - 3) dA, R: 0 sx s1,0 sy s2 15...

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Q: Suppose that f(x, y) = 6x + 8y and the region D is given by {(x, y) | – 5 < I < 3, – 5 < y < 3}. D T...

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Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 from t = ...

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Q: For WHAT VALUES OF THE EXPONENT m is the function y = xm a solution of the differential equation: x?...

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Q: The values of C, and C, so that y(x) = C, e3x + C, e-3x satisfies the %3D following conditions: y(0)...

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Q: If f(x) = 7 cot ' + 5, then find the value of f'(-6) is -5 V37 V37 37 -7 37

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Q: inbabitonts, thanks to A rumor, begins to spreaol in a the fart Fhat a member of the population heav...

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Q: Find the area of the region bounded by y = -x2- 6x- 3, y =-x2 -8x-13, x -5, x -2.

A: You need to understand which curve is upper and which one is lower. Then use the formula to calculat...

Q: 3. The Cartesian coordinates of a point are given. (i) Find polar coordinates (r,0) of the point, wh...

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Q: An exponential function has a decay factor of 0.03. What is the percentage decay rate?

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Q: bx a a dy dx

A: Our Aim is to evaluate the integral given below:-∫0a∫0bxady dx -(i)

Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

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Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

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Q: Find the volumes of the solids generated by revolving the region between y= 4x and y = about a) the ...

A: Solved below

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from point P to line AB. 

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per hour a...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: A). Domain, Symmetry, Asymptotes, Intercepts, B). f', Critical Points and Local Max/Min Values, C). ...

A: