дz (B)If Z = f(x, y), x = s² - t², y = 2st. Prove that s მა 2 (s² + t²) of af əx I t дz at II

Q: Evaluate the following double integral over the region R by converting it to an iterated integral…

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Q: B)Convert 20 = tan ¹r to cartesian.

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: 4. Find the limit of the sequence 3e" + 20n 6e +37 7} or determine that it diverges.

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Q: dy Solve the differential equation = x - y. dx

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Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

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Q: * The following function f(x) = x^4 sinx is odd O neither even O O

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Q: Find the curvature K of the curve at the point P. r(t) = 4ti + 5t²j, P(−4, 5)

A: Given curve r(t)=4ti+5t2j We need to find the curvature at point P.

Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: Use the quotient rule to find the derivative of the following. 2 x²-5x+1 y= 2 X +5 y'=0

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Q: Q4:A/ By using Linear equation solve the first order differential equation y' + sec(x) y = cos(x)

A: Given y'+sec(x).y=cos(x)To find solution Of LDE:

Q: 2. For the quadratic function y = -6x² + (K + 4)x+ 9, find the following: a. The Axis of Symmetry of…

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Q: Solve by Gaussian elimination x-4y-2z = 21 24y + 2 = 3 3x+2y-z = -2

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Q: Of Find the general solution for the following first order D.Es? (Answer two only) sinx+cosh 2y-…

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Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: A function f and a point P are given. Let 0 correspond to the direction of the directional…

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 9 x+1…

A: Equate fx=fy and determine whether the given function is one to one.        fx=fy…

Q: For the vectors u = (3, 2, 1) and v = (1, 2, 0), evaluate the following expressions. a. 2u+ 4v b. 4u…

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Q: Q1/ Find maximum,minimum ,and saddle point of the surface = x³y³ - 12x + 3y + 12.

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: ܕ ܝ ܐܢ- -

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A: This question is related to vector integration ,we will solve it using given information.

Q: Q5) Solve dx dx +2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h…

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Q: 63 x dx 3√ √x²+1 S √(x² + 1)² + C Option 1 O (x² + 1)² + C Option 3 213 √(x² + 1)² + C Option 2…

A: We have to evaluate ∫x dxx2+13.

Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x sin x n = 1 f'(x) n = 2…

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Q: 2. Determine the area of the region that is simultaneously interior to the curve r = 2 + cos (38), e…

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Q: Solve the following exponential equation. ex + e- x = 6 Select the correct choice below and, if…

A: According to question,Given equation,ex + e-x = 6

Q: 1. Evalaute lim ƒ(x), lim ƒ(x), lim f(x) for I-3+ 2-3- 1-3 f(x)= { = −x+4 x − 3 x 3

A: Topic = Limits As per guidelines , At a time only one question with three sub-parts can be answered…

Q: Rewrite the given function with a rational exponent. 7|X 8 = y In X + 8 = In x + 1 || In x + 00 8 00

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Q: Solve the given differential equation by separation of variables. xdx = 2y y =

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Q: Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then…

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Q: Find the values of x and y - SX+(s+6) Y=1 (3-s) X-2sY= -8 ..... (1) (2) ...

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Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A: We know that derivatives  general power rule is - d(xn)/dx = nxn-1. And d(sinx)/dx = cosx ;…

Q: Q4 Solve by Gaussian elimination x-4y-2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Find r(t) if r'(t) = 4t³ i + 5t+j + √tk and r(1) = i + j. r(t)

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Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: 17 Describe the effect on the function f(x) = √x to g(x)=√x-2. F The graph was a vertical…

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: Using exact equation as given below:

Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

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Q: 8. Use the Integral Test to determine whether k4 Σk5 +55 k=1 converges.

A: Solve the following

Q: 16. A cup like object is made by rotating the area between y = 2x² and y = x+1 with x> 0 around the…

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