Find an equation of the sphere with center (-5, 1, 9) and radius 9. What is the intersection of this sphere with the yz-plane? , X = 0

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A: We need to find amount of chlorine.

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A: This question can be solved by using the values of x and y given in the table

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A: This is the problem related to volume calculation using integral.please find the procedure given…

Q: Find the distance between the skew lines =(4,-2,-1)+1(1,4,-3) and F=(7,-18,2)+u(-3,2,-5).

A: Given lines:- l1:r→=4,-2,-1+t1,4,-3 l2:r→=7,-18,2+u-3,2,-5

Q: e demand function for math self-help videos is given by 55 -0.2x, and the total cost function to…

A: Given query is to find the marginal profit at x = 20.

Q: 44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = -3. Find h'(4). (a) h(x) = 3f(x) + 8g(x)…

A: Simply use differential formula and we can easily solve it Please see the solution Thanks

Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

Q: 12 лухари у-х2-2х-я сил не 2x-9 and the tangent to the wave curve at the point whose X- coordinate…

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Q: 1. Solve the following IVP and find the interval of validity for the solution. y = 5y +e-2xy-2, y(0)…

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Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) = 3x³…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  where…

Q: 2. A balloon is released upward from the ground at a speed of 5 m/s. When the balloon was 10 m above…

A: Concept Used: Rate of change Rates of change are defined as the rate at which one quantity changes…

Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

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Q: 10. The national debt of a South American country t years from now is predicted to be D(t): 65 +9t3…

A: Topic- Application of derivatives We are given, Predicted nationl debt of a South American country t…

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 3.…

A: =2SOLUTIONGiven data:-The equation on the given curve is y=7x-63…

Q: Find an equation of the line containing the given points. Use function notation to write the…

A: Find an equation of the line containing the given points. Use function notation to write the…

Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

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Q: 1 c) [xln (25) dx =

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Q: (2xy-3x²) dx + (x² + 2y) dy = 0 2

A: Given differential equation:- 2xy-3x2dx+x2+2ydy=0

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.

A: Given, y=x2-1x

Q: Find the average rate of change of the function over the given interval. P(0)=03-202 +40; [3,4] ΔΡ…

A: Given query is to find the average rate of change.

Q: Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that:…

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Q: For what values of a and b is the following function continuous at every x? 1 x≤-1 f(x) = ax-b -…

A: Given data: Function,  f(x)= 1                      for  x≤-1   ax-b             for -1<x<37…

Q: Let f(x) = { 6-x_ x4. a. Find lim f(x) and lim f(x). Select the correct choice below and fill in any…

A: Topic:  Limit and Continuity   The answer is given below:

Q: Use the integration by parts to evaluate the following integral by assuming u = 6.³ x² dx (cos x + x…

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Q: ƒ (x) = 3x² + 3, x = 7|

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Q: 5. Rewrite the expression as an algebraic expression in x. X cos( 1¹ (3)). H≤3 |x|≤3 (a) cos sin

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Q: Find the general solution: sin 2x tan² x y

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Q: Sketch two periods of the graph for the following function. x + π) TU m(x) = 2 csc -X 3

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Q: 5. Find the second derivative of f (x) (x² + 1)³.

A: Given query is to find the second derivative.

Q: 2. (6x+y²) dx + (2xy-3y²) dy =o

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: f(0) =2, lim f(x) = 2, lim f(x)= lim f(x) = ∞o, lim f(x)= ∞o, and lim f(x) = -00 X4±8 x+37 x-3* X-3+…

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Q: Use the Law of Cosines to determine the indicated side x. (Assume a-b-40. Round your answer to one…

A: Given query is to find the value of x.

Q: Given the demand equation x + -- 20 = 0, where p represents the price in dollars and x the number of…

A: given demand equationx+p8-20=0

Q: b) f(x)= x² tan(√4x+7)

A: Here we have to find derivative

Q: UPVOTE

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Q: Differentiate. Don't simplify. 17. f(x) = sin 3x 18. g(x) = (sin 3x)³ 19. h(x) = (sin 3x)³ + 5x…

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Q: Consider the following functions. f(x) = ²/₁ g(x) = 3x + 12 Find (fog)(x).

A: Given: f(x)=3x       gx=3x+12

Q: Find the solution of the given DE. Linear or Bernoulli

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Q: [We dx = + C

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Q: Find the standard form of the equation of a PARABOLA opening to the right such that the endpoints of…

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Q: The differential equation (x²-y²) y'= 2xy is not an Exact D.E because the partial derivatives of…

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Q: w = xy + yz + xz, x = r cos 0, y = r sin 0, z = re. Findow, when r = 2,0 = π/2. dw 20

A: Concept: Partial derivative: Let's say we have a function f(x, y) that depends on the values of two…

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Q: 3. Find the derivative of each function by using the limit definition of the derivative! a) f (x) =…

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Q: 0.016t The population of a town is increasing at a rate given by P'(t) = 34 e where P is the…

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Q: here is the function f(x) below discontinuous 4, (x)=x²-5, x + 3, if x 1

A: Given query is to find where is function discontinuous.

Q: 13. Find the point (x, y) on the curve y = x² + 1 that minimizes the distance to the fixed poi (4,…

A: Given curve:- y=x2+1 We know distance between points x1,y1,x2,y2d=x2-x12+y2-y12

Q: solve  log10(x+3)-log10 X =1

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Q: At some point during the year 2021, a public health official said: "There is currently a reduction…

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