Consider the following differential equation - (8 – r) dr + 9rds = 0

Q: 1.) Find the percent grade rise/run= slope Slope = 5:1

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A: This is a problem related to differential equation. Based on the general formula we will solve the q...

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Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3), P2(5,...

A: We can solve the given problem as follows:

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Q: 3. Find using implicit differentiation given that dr y secr - log(r² + y?) = e* + cot(ry).

A: To find the derivative of given function.

Q: Differentiate the function. f(x) = sin(x) In(4x) f'(x) =

A: ddxu(x)v(x)=v(x)ddx(u(x))+u(x)ddx(v(x)) ddx(sin(x))=cosx ddx(ln(ax))=aax=1x ddxu(x)v(x)=v(x)ddxu(x)-...

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Q: Verify that fy =f for the following function. %3D f(x.y) =*y+5

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Q: lim an lim 2 ニ2,

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Q: Find the domain and range of the function V(x, y) = 9/9y – 45x. Indicate the domain of V in equality...

A: Find the domain and range of the function   V(x,y) = 9 √(9y - 45 x2)

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Q: Find the value of real number if the complex number is 8 + 9j = 0

A: A complex number is a number of the form a + bi, where a and b are real numbers A IS Real part  bi i...

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Q: Consider the following. u = (4, -5, 8), v = (-1, -6, 3) (a) Find the projection of u onto v. (b) Fin...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Topic = Vector

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Q: O Reverre the order of integration and do not ewaluate dy dx Show the region.

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A: The geometric sequence,5, 152, 454, 1358,........

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Q: Solve the linear differential equation of order one 2x(y−x^2)dx+dy=0

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Q: Consider a utility function of two goods x and y: U(x,y) = A (ax' + by') where A > 0, a > 0, b > 0, ...

A: Here, the given function is: U(x,y)=A(axr+byr)1r ⇒U(tx,ty)=A(a(tx)r+b(ty)r)1r                   =A(a...

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Q: Find the equation of the plane containing the points P= (2, 0, 0). Q = (0, 2, 1), and R = (1,0, 3).

A: This question is based on finding equation of plane when we know 3 points of plane.

Q: Apply Gauss-Seidel method to solve the values of the x as given. Continue iterations until two succe...

A: Basic information:  Put: A = x1 ; B = x2 ; C = x3 ------------------------------------------------...

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Q: Simplify the equation j4321 + j8765 + j6789 - j4000 O 1- 3j O 3-j O j^3 - 1 O 3j - 1

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Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

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Q: Find u, 3v, v – u, and 2u + 5u 3. u = (4, 3), v = (3, –3) 2. (a) 3

A: Given: u=4,3   v=3,-3

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Q: 1. (-7, -3) 2. (-5, -3] 3. [0,3] 4. [3, 7] 5. (-5,5)

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Q: (e*-y- 2x+y³ cosx)dx +(3y²sinx – e*-Y)dy=0; y(0) = (i) Identify the type (ii) Set up the solution st...

A: We will solve the differential equation.