Find the point on the plane x − 2y + 3z = 6 that is closest to the point (4,2,0).

Q: X - 5 dx -2x + 2

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v (0, 24) %3D a = %3...

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Q: (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) =

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Q: 1. lim x2 – 2x + 4 x→1 f(x) f(x)

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Q: x2 3 |5 – x + C а. 5 – x3 - cos t dt 1 + sin t In 1+ sin(t)|+C b.

A: integration

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Q: Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

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Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the ...

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Q: RX)=5x and C(x)3D0.001x+2.6x+7O,

A: answer of given question is in step 2

Q: 2. In each figure, congruent parts are marked. a. List down the given congruent parts. b. Give addit...

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Q: determind the derivative of a function Let f(x) = In (x^2+16x+73) f'(x)=

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Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the equa...

A: To find the equation of tangent.

Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

Q: 1-cost lim sint et-1 + t t t+0

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Q: Lim 9. x + 4

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Q: Describe all numbers e that are at a distance of from the number 7. Express this using absolute valu...

A: We know that the distance d between two numbers a and b equal the absolute value of their difference...

Q: Use the given transformation to evaluate the given integral, where R is the triangular region with v...

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Q: 1.

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Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: Find the adjoint of A (1 2 4 A =3 4 5 2 -2 2

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Q: Analyze and sketch a graph of the function. Find any Intercepts, relative extrema, points of inflect...

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Q: Find an equation of the tangent line to the hyperbola defined by x² – xy – 3 – x = -22 at the point ...

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Q: s² -a Find the value of r' at s = 2a if r(s)= %3D s* +a“ Your answer

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Q: 8. The graph of the function y=-x(x- 1)(x+2) begins in quadrant 9. The graph of the function y =x(x-...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: Consider the following. f(x) = 3x – 6 cos(x), -2 sxs0 Use technology to estimate the absolute maximu...

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Q: Find the critical points of the function f(x,y)=x^2+y^2+6x−10y+1

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Q: O g(x)= ( % x + %) X so at the point X, =O. x >0 9メ- x

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: Find the cost function for the given marginal cost and fixed cost. Marginal Cost Fixed Cost (x = 0) ...

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Q: Use a table of values to evaluate the limits of the given function

A: Let's find. 

Q: Select ALL possible answers if there is more than one. * ifr<! 16 1 Let f(x)= 3 . If f(x) is continu...

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Q: The graph of the following function has two slant asymptotes. y = V 25 + 16x2 Find the equation of e...

A: NOTE: Refresh your page if you can't see any equations. . now asymptote is in the form of 

Q: If f(x)=(3x+6)^−1, find f'(x)    find f' (4)

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Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: A particle moves on a straight line with velocity function v(t) = sin ot cos' at. Find the position ...

A: integration

Q: Prove that lim (9x* - 25) = -9

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Q: tion 4x + 200 A garden shop determines the demand function q = D(x) = during early summer for tomato...

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Q: 2x?-8х+7 x 0 x-6x3

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Q: Write the expression as the sine, cosine, or tangent of an angle. 3 COS sin)sin() COS - 7

A: Note that: cos x cos y-sin x sin y=cos (x+y)

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values...

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Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic ...

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Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

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Q: Determine whether the improper integral diverges or converges. 1 e2x + e-2x dx O converges O diverge...

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Q: Use the limit definition in finding/showing what is asked. 2. Given a function x3 – 2x2 if x < 2 if ...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: Solution: a)  Given the future value S=Pe0.12n  

Q: nd the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form ...

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Q: 3.4 +3.198

A: Consider   

Q: -3x Evaluate (x" x" +T) dx Answer: Submit Answer

A: Given: I=∫xπ+π3xdx   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+...