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

Q: Find f′(x), if f(x)=(x4+1)(3x−1).

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

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Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: B)Convert 20= tan¹r to cartesian.

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Q: Show that the following equation [ has a solution on (0, 2). 42-1 = πX 2 5 cos(-

A: The given equation,       4x-1=5cosπx2

Q: Find the general solution of the given differential equation. xdy + 3y = x³ - x dx y = Give the…

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Q: 8 hp zh6 S

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Q: Question 3. The following figure shows the graph of the derivative f' of a function f, where f is…

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Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: Find the general solution of the given differential equation. y' + 3x²y = x² y(x) = Give the largest…

A: The solution is given in the next steps.

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: Laplas Inv Q1/ Find -1 s² (s+1)(S-1)²

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Q: Find the mass of a thin funnel in the shape of a cone z = √√x² + y², 1 ≤ z ≤ 2 if its density…

A: Given: z=x2+y2ρ(x,y,z)=12-z

Q: Evaluate the integral. 1/2 Jo 7 cos-¹(x) dx

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Q: Find y' y= y" = 3x + 4 2x-3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Define the points P(2,-2) and Q(3, 4). Carry out the following calculation. Find two vectors…

A: Solve the following

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

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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Q: Q2: Find y(2) if D.E as give 2+3y=sin 2x, y(0) = 6 dx Given

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Q: 3. Determine whether the function is continuous at r = 5. 2²-42-5 2-5 x 5 D

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Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,1] with a…

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Q: y = x42x³

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Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y - y³ 2x + 3xy² dx…

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Q: 1.) lim 3* x-2 2.) lim (2x+¹ -3) x-2

A: Given: 1.limx→23x2.limx→22x+1-3

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 6 m, b =…

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Q: 1. Evaluate the improper integral 150 xe dx or state that it diverges.

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Q: Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

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Q: ܕ ܝ ܐܢ- -

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O O False

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Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y5+ y

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ = dx 4x +…

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Q: Q2: Find y(2) if D.E as give dy 2. +3y=sin 2x, y(0) = 6 dx Given

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Q: To find the volume formed by the function z=f(x, y) = x²y over the triangular region bounded by the…

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Q: The value of V(-25) is * О -5i 4i 5i оооо О -4

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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

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

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Q: Find the general solution of the given differential equation, and use to determine how solutions…

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Q: Which of the following graphs represents the function g(x) = x(x + 1)²(x − 2)? g(x) 4 4 3 g(x) 4 3 O…

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Q: answer

A: We have to choose the correct option from the given options according to the given information

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

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Q: 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: 4) A coin is dropped from a height of 960 feet. The height, s (measured in feet), at time, t…

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Q: Find the general solution of the given differential equation. dy 2 + 6y = 3 dx y(x) = Give the…

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