436. The plane that passes through point (4, 7, -1) and has normal vector n= (3, 4, 2)

Q: Find the area bounded by y³ = x² and x-axis, from x = 0 to x = 8.

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Q: As you are walking in the forest you look up just as a boulder becomes dislodged from the side of a…

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Q: a. Use the definition mtan = lim f(a+h)-f(a) h h→0 b. Determine an equation of the tangent line at…

A: Please refer to the image below

Q: The gradient of a curve is dy/dx + (x^2)/2 = 3x. Find the equation of the curve if it passes through…

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Q: 1. Given: parametric curve H defined by r(t) = tan-¹ t and y(t) = e¹, where t € R (a) Find the slope…

A: Solved below.

Q: 6. If y = 3√x, then what is y'? A. y' = C. y' = ¹ x 3 x3 B. y' = 1/2 D. y' = ¹/2/2 x3 x 3 7. Which…

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: The equation of the curves are given by C1: y-x2=-3 ⇒y = x2-3 C2: x+y=3 ⇒y=3-x To evaluate: The…

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

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Q: Find the volume generated by revolving the area bounded by x² - 4x - 4y + 4 = 0 and y = 1 about the…

A: To find the volume generated by revolving the area bounded by x2-4x-4y+4=0, and y=1, about the line…

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x-a b. Determine an equation of the tangent line at…

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Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

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Q: 16. Let lim f(x) = -7, then what is lim (-9. f(x))? X-C A. - 16 C. 16 D. 63 B.-5

A: limit

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y x-4 1-2y…

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Q: Find the general solution of the ff.differential equations.1.)dy/dx=x+1/2(y+3) 2.)dy/dx=y^2(1+e^x)

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Q: Determine the Cartesian equation of the tangent line to C1 at the point where 0 = π/2. Given: polar…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 4 − x^2 − 4y^2 and…

A: Let's find volume of solid.

Q: Given: planes Π1 : 2x − 5y + z = −1 and Π2 : x + 5y + z = 5 intersecting on a line ℓ. (a) Compute…

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Q: 7. Show that the equation of the plane that has x-intercept a, y-intercept b, and z-intercept c…

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 S₁749 dx…

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Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

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Q: Find the volume generated by revolving about the y-axis the area bounded by y2= x-2, y=x-4 Use shell…

A: Here we have to find the volume by using shell method.

Q: 5. Determine vector and parametric equations of the plane that... a) has the scalar equation 2x-y+…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: Find the area of the region bounded by y² = 4ax and x² = 4ay.

A: We have to find the area of the region bounded by y2=4ax and x2=4ay.

Q: Given: planes II₁ : 2x - 5y + z = −1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

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Q: -0.45|-2.8x - 4.06| 2.5

A: Here we have -0.45-2.8x-4.06-2.5

Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

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Q: Use f(x+0.0001)-f(C) 0.0001 f(x)=52²-7x ata = 2, to the nearest tenth. to determine the…

A: Given function f(x)=5x2-7x

Q: Let The coefficient of x' in the Maclaurin series for f(z) is: Answer: . You may explain your answer…

A: Note that, the power series of ex is: ex=1+x+x22!+x33!+...

Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: Let the radius of the cylinder is = r and the radius of the sphere = R  Let the height of the…

Q: True or false √2 If cosh x = V, then sinh x = 2. It is possible for a function to have an absolute…

A: To determine whether the following statements are True or False.1 If cosh x=62, then sinh x=22.2 It…

Q: Find a particular solution of =(x−1)² if y=-21 when x=-3. dx

A: dydx  = ( x - 1 )2   , y = -21, x = -3 we have to find particular solution of it

Q: Integrate the following: 1. f xdx x²-x+1

A: The given integral is x/(x2-x+1). Repost the next question.

Q: Pls show complete solution (c) Set up the integral which yields the area of the indicated region R…

A: We need to setup integral for area.

Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A:

Q: a. Use the definition mtan = lim f(a+h)-f(a) h h→0 b. Determine an equation of the tangent line at…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: (ii) tank (In x) = x²-1 x² +1

A:

Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

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Q: y Let line l: x == and point P(1,0,1). 2 3 ● Find the parametric equations of the line parallel to…

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Q: Given x = - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤ 3 8

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Q: Evaluate the following integrals. -1 L₁ (3²- (3x² - 4x−¹+2) dx

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Q: By method of Integration by Partial Fractions, A B(2x-2) + C (x³+5x²+6)dx (x²–2x+5)² = √ [₁²-2² +…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 16. Find the area of the region bounded by the given curve: r = 9eº on the interval ≤0 ≤ 2m.

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Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

Q: Ji 16 sin² x cos² x dx dx B

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Q: -5x² +11x+2 x(x+1)² dx 2ln|x| +3 In|x +1| + + + C x+1 Option 1 2ln|x| +3 In|x +1| +++ C Option 3…

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Q: A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50…

A: Given: fx=x2-2x+3 Since, the marginal cost function is the derivative of the total cost function,…

Q: Suppose that f(x) = x² − 3x + 2. Then there is no critical number to determine concavity. Select…

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Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem