15. The length of the side of a square is increased by 100%. Its perimeter is increased by A. 25% B. 100% C. 200% D. 300%

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A: Given differential equation y'=2xy -x

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Q: \(\) The vectors u= and V = are not orthogonal if and only if x=-136

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A: We want to select the correct option.

Q: Using Linear Coefficients of Two Variables, solve: (2x - 5y + 3)dx - (2x + 4y - 6)dy = 0

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Q: f(x, y) 4xy; R is the region bounded by the graphs of y = V1 - = x² and y = 0 for 0 ≤ x ≤ 1

A: Solution is given below:

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A: Application of integration

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A: This question can be solved using the concept of sine rule.

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Q: Using Homogenous Equations solve in terms of y: xdy - ydx - √x² + y²dx = 0 –

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

Q: Find f', f", f"" for f(x) = 3r7-4r5 + 11³.

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A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

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Q: (m) X + x + 1 dx Oseparable exact Olinear in x Olinear in y homogeneous Bernoulli in x Bernoulli in…

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Q: Solve the given differential equation by separation of variables. e-y + e-5x - y exy dy dx

A: To find the solution of D.E.

Q: Use Green's Theorem to evaluate 75 -90 -78.77 Le Fix of 2+9=25

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: :.S •√ √x(x² – 3x + 2)dx

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Q: ₁ y २ The circle x² + y² = 36 ty revolved about the = line 1. Phat is the Volume ? garcratid Cl.…

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Q: If a x i = 0 and a x j = 0, then Select one: O O a is equal to k a is any vector perpendicular to i…

A: We know that if two vector are collinear then their cross product is zero, Therefore 'a x i =0 '…

Q: ains 200 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the…

A: Please refer to the image below

Q: Use the Comparison Test or Limit Comparison Test to determine if the series converges. n² Σ.. n² + 4…

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Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

A: We check the given statements are True or False.

Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

A: The function is P(t)=0.02(12+2t)3/2+1

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j a cannot be determined O a is…

A: Find out the correct option.

Q: H.W: find dz and dz as functions of u and v if: ди Əv z = 4e* ln y, x = ln(u cos v), y = u sin v

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Q: Choose the angle (in radian) between the following two vectors u = and U = - O 2.059 00 O None of…

A: We know that the angle between two vectors u and v is θ = cos-1 u·vuv

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A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

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Q: The reverse order of ² sinx cos² dxdy is ² ² ½ sinx cos² dydx y x False O True O

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Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

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Q: A study estimated how a person's social status (rated on a scale where 100 indicates the status of a…

A: The status of a person at an income of i thousand dollars is S(i)=17.5(i-1)0.53

Q: 26. Given g = a + w. |g| = 400, pointing in the direction N57°W. |w| = 100, coming from the…

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Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

A: we know that if a plane is  perpendicular to a vector then the  normal of the plane is parallel to…

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

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Q: Graph the function. -4 X for -3 <x< -1 for -1<x< 1 -x²+1 for x ≥ 1 L X O

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

Q: 2л 1. The region R is bounded by the x-axis, x = 0, x=- 3 A. Find the area of R. 3sin(). 2 and…

A: Given:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 7. Evaluate each geometric series or state that it diverges. Provide reasons for your conclusion. k…

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