Find the equation of the plane through the point (2, –1, –5) and containing the line | x = 3 – 2t, y =1+t, z = -5+ 3t. Write your answer in the form ax + by + cz = d.

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Q: Which of the following is not true? Of imit of f(x) as x approaches a is Land f(a)-L, then f(x) is c...

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Q: Evaluate the following limits. (b) lim v9r² – 5x + 3x

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Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

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Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: If a curve f(x) has = (y – 1) (2+ x) and passes through the point (-1,2), then what is dx the equati...

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Q: Compute the directional derivative of the following function at the given point P in the direction o...

A: We have to find the directional derivative of the function f(x,y).

Q: 3 ť'y" +7t y' +1o yoo

A: A detailed solution is given below 

Q: eBook Submit Answer

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Q: lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

A: We will multiply and divide by a factor which numerator a square type and will remove square root sy...

Q: Find the limit of the sequence using L'Hôpital's Rule. (In(n))² an = 13n (Use symbolic notation and ...

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Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: 1 dx x+/x

A: Given: ∫1x+xdx

Q: 45. The radius of a right circular cylinder is measured as 2.5 ft, and the height is measured as 12 ...

A: This question is related to 3D geometory. Sove in step 2.

Q: Find the solution of the given initial value problem. ty' + 4y = t – t+ 5, y(1) = 5, t> 0 |

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Q: For the following items, consider the sequence {()"-}. 1. What are the first five terms of the seque...

A: We have to find 1st five point and draw the graph as well as the property of sequence

Q: 4. f(x) = 3x – 1 and g(x) = x+1 are inverses of each other. 3 True False

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Q: 5. Find the arc length made by a central angle of radians and a radius of 10 cm.

A: Given central angle=π4 radius=10cm find arc length  

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1+9) 6. an = %3...

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Q: x²dx x³+ 4 3.

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Q: Consider the function f(r) 3a on the nterval 6, 5Find the average or mean stope of the function on t...

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Q: Find the inflection points of each of the given curve.  y = 5x – x5

A: Given :y=5x-x5

Q: EVALUATE INTERMS OF GAMMA FUNCTION.

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Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: In 2004, an art collector paid $60,791,000 for a particular painting. The same painting sold for $30...

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Q: 1. 2x-9 13 Evaluate lim 1 x→-2 2x+8 4 Enter an exact answer.

A: We can find the limit as below.

Q: A chemical substance has a decay rate of 8.3% per day. The rate of change of an amount N of the chem...

A: The solution can be seen below.

Q: sinr f(x)=(x)'

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Q: dx Ve ve

A: Integration

Q: A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measu...

A: We have to find the height and radius of the fuel tank which costs minimum using differentiation.

Q: 3 2 6 Consider the function f(x,y,z) = e xyz -6, the point P(0, – 3,1), and the unit vector u = 7' 7...

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Q: Consider the following graph. y 12 (13,11) 8 (1,2) (13,2) X 4 8 12 (a) Find the length of each side ...

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Q: Find the solution of the given initial value problem in explicit form 1 y = (1 – 7æ)y² , v(0) = - 2 ...

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Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: Find the curvature of the motion of r(t) = . Leave your answer correct to two decimal places.

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Q: Divide both sides of the equation cos?x+sin? =1 by sin?: x to get a formula involving cot²x and csc ...

A: We have to find ∫csc4dx Given cos2x+sin2x=1

Q: Solve: 3z2 + 10z = -8 2 3

A: NOTE: Refresh your page if you can't see any equations. . add 8 to both sides  

Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)

A: Given: - The ordinary differential equation is, y''+2y=sec(x) To solve: - The solution of the given ...

Q: HOW DIDHE GET THE VALUE INSIDE THE CIRCLE AND THE ORDER OF THE STEPSAFTERIT? 2. dz Sol Let b2 = 2t Z...

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Q: Consider the following graph. y 10| 8. 6 4 (1, 3) 2 -4 -2 2 4 6 8 10 -2 (1, –2) (7, –2) -4F (a) Find...

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Q: There is a jump discontinuity at x = 1 and lim f(x) = 1

A: At X=1, there is a jump discontinuity.   limx→1- f(x) = 1.As function f(x) approaches towards 1 from...

Q: -5х + сos (9x)-1 (9х) — 1 Evaluate lim 2x Submit an exact answer.

A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital rule

Q: Find the derivative of the function. f(z) = e?/(z – 5) f'(z) =

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Q: Question 3 Evaluate dt A 313-1+C B 12-1+C c) 312-t+C D 312– 31+ C

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