Evaluate: sin® (÷ cos? 2. (() dx

Q: cos Vi Find the laplace transform of (i).

A: I am attaching image so that you understand each and every step.

Q: Tim Hortons estimates it will have a continuous income flow of  f (t)  =  4311 dollars per year from...

A: Given income flow f(t)=4411 dollar.

Q: Consider the following function and express the relationship between a small change in x and the cor...

A: Given query is to find the differential.

Q: an equal expression on the right. Submitted Answers Choose a match Choose a match

A: We have to calculate the given indefinite integral 

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: Let y = tan(5z + 6). Find the differential dy when a = 4 and dæ 0.1 %3D Find the differential dy whe...

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Q: The derivative of the function y = sin-1(e* – In x), where Je – In x| < 1, is:

A: Recall ddx(sin-1(x))=11-x2 ddx(ex)=ex ddx(ln(x))=1x

Q: The derivative of the function y = cot¬1(csc x) is: csc x cotx cSC X cot x y' y' = csc?x+1 csc?x+1 t...

A: See the details solution in below

Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

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Q: Rewrite the following integral using substitution: " s in3xdx

A: We can rewrite the integral using substitution as below.

Q: (주) X X Evaluate: " sin' cos* () d 4

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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: Evaluate the integral. 16 In(y) dy Vy

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Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: sin2x de Evaluate:

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Q: Determine f'(1) if f (t) = log10,ti t+1 17 Your anSwer

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Q: Homework Content Question 1 Write an equivalent double integral with the order of integration revers...

A: Given: ∫08∫0xdydx

Q: Given that y, (x) = x-1 and y, (x) = x3/2 are solutions of the differential equation 2x2y" + xy'-3y ...

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Q: If f(a) = 3 cot- * + 6, then find the value of f(-8) is -6 V65 V65 оо оо о

A: Solution ) f(x) = 3cot-1x + 6 Differentiate with respect to x  f'(x) = 3 (d/dx)  cot-1x + (d/dx) (6)...

Q: Find the volume of the solid generated bounded by x = Vy – 1, x = y² – 2y + 1, rotated about the x- ...

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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: Suppose that the functions h and f are defined as follows. h (x) = x? -9 f(4) = 2 Find the compositi...

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Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile i...

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Q: Match the integral expression on the left to an equal expression on the right.

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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: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x+ In|x² + 1| + C - x cot-1...

A: Given problem:- Using integration by parts solve 2∫ cot-1(x) dx 

Q: 6. - fycos ydy

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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: Using an appropriate substitution, gtan-1 x the integral S dx equals: 1+x2 gtan-1x + C 4 tan-1x + C ...

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Q: Find the domain and range of -4 < a<0, f(r) = 0 <r<4.

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Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

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Q: Question 13 bx a dy dx 0.

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Q: 2- 3x +8 2-X2C

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Q: xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

A: The given integral,∫x sin-1x dx1-x2

Q: - 2x + 1, r 2 Evaluate the following limits for h(x) and Justify your answer. (1) lim h(r) = (ii) l...

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Q: Evaluate the integral. (Use C for the constant of integration.) | 2 csc*(x) cot (x) dx

A: We will use simple Integration formulae to solve this Integral.

Q: Use the trapezoidal rule with n = 8 to approximate %3D cos(x) Keep at least 2 decimal places accurac...

A: We have to find the value of the integral∫16cosxxdx using trapezoidal rule with n=8. From trapezoida...

Q: 2 cos 20 sin? 0 + 2 cos 0 cos 20 sin 0 + cos 20 cos? 0 d0 (use trigonometric integrals)

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: An exponential function has a decay factor of 0.60. What is the percentage decay rate?

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Q: Given the matrix and its eigenvalues 2 3 3 2 Find the eigenvalues for this matrix, then use them to ...

A: For finding eigenvalues of Matrix A , find A-λI =0.

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

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Q: find eigen value of matrix A 3 -2 A %3D -니 2. 2.

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Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question. Kin...

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: 2x + 8, x 8 (i) f(8)= (ii) lim f(r)= (iii) lim f(x)= I 18+ (iv) Justification Answer=

A: To find out the f(8), left hand limit, right hand limit, and also justify the answer. 

Q: Determine all critical points for the function. y = 4x² - 128 x

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x = y? + 2y – 1 ...

A: To find the volume.

Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the abo...

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Q: bx a a dy dx

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