Let a, b, and c be three-dimensional vectors. Identify whether the expression (a x b)- (c × d) will result to a vector or to a scalar. vector scalar

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A: We have to integrate .

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A: Given problem:- Find dV, the estimated change in volume, if the radius of a sphere changes from 6 to...

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Q: 2x (1 – x²)² Let the function be 1) Convert the provided function into a POWER SERIES +oo Σ 4n-1 n=1...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

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A: Here we have to find the implicit differentiation.

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A: Given query is to find the direction derivative at given point.

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A: Given query is to find the dimensions of the rectangle.

Q: Directions: Evaluate the following limits. 3. lim ) 4. lim ) x-1 x2 X+4

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Q: Assessment 1. Directions: Find the limit of the following. 8x+1 5. lim X-1 x+3

A: We know by definition of limit for a function f(x) , limx→af(x)=f(a) , provided f(a) exists.

Q: 1. lim In (x –9) 2. lim log, (8x-x*) x3* x-2" 3. lim In (cos x) 4. lim In (sin x)

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Q: 8. k! k k=1

A: given series ∑k=1∞ k!k3

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A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

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A: Given the differential equation is x2-xy+y2 dx - xy dy = 0

Q: Use the Chain Rule to evaluate the partial derivative ah at the point (q, r) = (1,2), where h(u, v) ...

A: ∂h∂q=(∂h∂u×∂u∂q)+(∂h∂v×∂v∂q)∂h∂q=ev×4q3+uev×r2Substitute q=1 , r=2⇒u=q4=(1)4=1and v=qr2=1×(2)2=4

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A: I have stated the used formulas in the solution

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A: The given function is  f(x)=x3/5

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +...

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Q: h of the following functions, find the indicated derivative using the de x + cos(3nx) '; f'(1) x2

A:                                                                                    

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Q: Let T = x²y - xys + 6x, where x = r cos 0 and y = r sin 6. Use the chain rule to find dT/00.

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Q: Area of Surface of Revolution Find the area of the surface of revolution generated when the given c...

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

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Q: Let f(x, y, z) = 4xy – z² , x = 2r cos(0), y = cos²(0), z = 5r. Use the Chain Rule to calculate the ...

A: Given : f(x,y,z)=4xy-z2, x=2rcos(theta) y=cos2(theta) ,z=5r.

Q: (4) Find the domain of f(x) = Vx3 – 2x² – 24x. (A) [-4, 0] (B) (6, ∞) (C) [-4, 0] U [6, ∞) (D) [-4, ...

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Q: A = 2.

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Q: need answer asap thanks

A: Solve the following

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Q: Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y? + 4z? = 22, P = (...

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Q: 2. S cos-1 x dx

A: