Given K= (-2,-1), L=(2,4), M= (-3,-1) and N= (1,4), Prove that KĽ and MN are equivalent by Showing that they represent the Same vectora

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

Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

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Q: evaluate the given double integral. ca/2 9. xy cos(a?y)dxdy

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Q: Consider the points A(2, –3, 4), B(4, –5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of ...

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Q: Consider the coordinate vectors 7 (w]s (als = 0, B)s -3 %3D %3D 4. 2 3 4 (a) Find w if S is the basi...

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Q: Find the solution to the following differential equation: У+ 16у %3D 0, у(0) 3 2, У (0) %3 2, У(0) 3...

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Q: Let a = ci + jandb = 9i + 12j. Find c so that the angle between a and b is 9. Round your answers to ...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 – ...

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

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

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Q: | (r – 1)³ + 1, if x 2 1. Determine if g(x) = is differentiable at x = 2.

A: Checking continuity:=limx→2- g(x)=limx→2- (x-1)3+1  limx→2- g(x) =2Right hand side limit=limx→2+ g(x...

Q: Explain the following true or false questions in full detailed sentences and answers. Explain your t...

A: 1.TRUE.If there was no minima in betweenf(1) and f(3),Then function must be continuously decreasing ...

Q: d²y -6空+9= 0. dx2 dx 业

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2, 8...

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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: sin (:) tan r 2. Find the derivative of f(r) = using logarithmic %3D differentiation.

A: To find the derivative of fx=sin31x tan x5π-x5e2x using logarithmic differentiation.

Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the re...

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 8 -x + 3y + z = 9 2. Find the normal vector,...

A: Find your answer below 

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: The solution of the boundary value problem (D² + 52)y = 0, given that y(0) = 0 and y() = 1 %3D 10 O ...

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Q: f(x) = 3x - 5x² 1. c = 2

A: Given: fx=3x-5x2  ; c=2   The function will be continuous at x=c when, limx→c-fx=limx→c+fx=finite va...

Q: An aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic p...

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

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Q: Find the volume of the torus (donut) with radii r and R as shown in the figure.

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Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the...

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

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Q: Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the t...

A: We want to find rate of change of the function at the given point. 

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 8t, y = 8 –...

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Q: 2+5n a, = n+2n Select the correct choice below and, if necessary, fill in the answer box to complete...

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Q: Question 3 Given f (x) = 2x and g (x) = 4x + 3. Evaluate g (f (-)). (E)

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: (2t+1)(2t-1) dt

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Complete the interval table (you can do this in your notes) for the continuous function, then determ...

A: Find your answer below 

Q: Let y = xlog, (x) Then dy %3D dx

A: Given, the function                                  y=xlog5x then we have to find dydx.

Q: x-8 Find the interval of the continuity of the function f(x) = x^e*+ V*- In(x-2)

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –...

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Q: dx %-D5 when x= 4. dt ,3 Assume that x x(t) and y y(t). Let y=x +2 and dy when x= 4. Find dt dy (Sim...

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) ...

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cub...

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Q: S cot5xdx

A: Solve the integration

Q: Find the angle 0 between the vectors in radians and in degrees u = 9i + 5j + k v = 5i – 9j (a) radia...

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Q: 5. (а) (—4, 4) (b) (3, 3/3) 6. (а) (/3, -1) (b) (-6, 0)

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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 ------------------------------------------------...

Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

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Q: Find the unit vector in the direction of v. V = -6.3i + 3.7j u =

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Q: Cx) = *-2r+2 a-1 c = 2

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Q: A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base i...

A: This question can be solved using the concept of maxima and minima.

Q: A 75 L gas tank has a leak. After t hours, the remaining volume, V, in litres is 2 V(t) = = 75( 1 ,0...

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Q: he trigonometric function y =2 sinz-) We will fil out the table and plot S points so that we can see...

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Q: Determine whether each point lies on the line. x = -1 + t, y = 3t, z = 5 +t (a) (0,3, 6) O Yes O No ...

A: a)(0, 3, 6)x=-1+t 0=-1+tt=1y=3t 3=3tt=1z=5+t 6=5+tt=1t=1 for x, y and z.The point lies on the line.b...

Q: Vn +1- Vn –1 Σ n n=1

A: Limit Comparison Test : Suppose that we have two series ∑an and ∑bn with an≥0, bn>0 for all n. De...