Find the equation for the line passing through P=(1,3,−2) and perpendicular to the plane 2x+4y+z=2

Q: Find inverse g(x)=x²-2x, x²1 f(x)= 1+√2+3x S y = (2+ 3√x) ³ 1-√X Y = T+√x

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Q: The bank requires a 5% down payment and one point at the time of closing. The cost of the…

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Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: J x2 9-2 dx

A: Given ∫x29-x2dx

Q: Use the IVT (intermediate value theorem) to show that the given polynomial f(v)= 2v2 + 3 - 3v has a…

A: Here we have to use the intermediate value theorem.

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: Evaluate the area below X-axis and above the curve y = 24x2-45x. Round your answer to 3 decimal…

A: Given curve, y=24x2-45x

Q: Suppose the density of a wire is given by p(z) = 0.6 +0.09 sin(27) kg/m, where is the distance from…

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

Q: Find all values of where the graph of f(x) = 2x³-39x² + 240x-5 has a horizontal tangent line.…

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Q: Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour…

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Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

A: Given query is to find the domain of the function.

Q: Find dy. y=34+ 10x²5x5 dy = (Simplify your answer.)

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Q: Find the solution of the differential equation y(t) = = 1 t sec y = 6 cos t { x + + + ² ( 1 ) x - *…

A: The given differential equation is  y'+1/5sec(t/5) y= 6cos(t/5) , y(0) = 1  where 0<t/5<

Q: Thank you! I am a bit lost because the equations are a bit messy with the computer. Would it be 3e^x…

A: GIven function :- y=3ex+8x3

Q: (-8,-1) (-5,-3) (b) Let h be the function defined by h(x) (-2,1) = 1- g(x) x²+1 0 (1,5) Graph of g…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Differentiate. y' = y = In (6x² − 5x + 1)

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Q: Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you…

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Q: Use the tabular method and the properties of limit to find the limit lim x→1 2x + 2-x 3

A: Since we have to find limit at x=1 by tabular method then we start the table from 2 to 1 and from 0…

Q: What is the solution of 3x² + 6xy2 + (6x²y + 4y²) y = 0 ? O 3x³ + 9x²y² + 4y³ = C O 3x² + 12x²y² +…

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Q: A virus is spreading across an animal shelter. The percentage of animals infected after t days 100…

A: This question can be solved by the concept of functions.

Q: Consider the following graph of y = f(x): s What is the lim fx f(x) x-0 A.0 B. 1 OC. -1 D. 2 E. The…

A: From the graph we can see that as x tends to 0, f(x) tends to 1.

Q: Q4 Find function's domain, function's range, and determine if the domain is an open or closed region…

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Q: Solve (D³ − 2D² + 2D) y = 0; when x = 0, y = 0, y = 1 and y/l =

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Q: A mummy was recently discovered. It now contains 72.7% of its original Carbon 14. About how old is…

A: Given half life of Carbon 14= 5730 years. Given the mummy contains 72.7% of its original Carbon 14.

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√√3i)

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Q: Evaluate I si sin³(x) cos³(x) dx .

A: We have to evaluate  ∫sin5x cos3x dx.

Q: Solve the Initial = Find the general valve problem jy (0) = -1 solution (x² + 1) + 3xy =6x

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Q: 4. A company's average variable costs are given by a function 0,202-7Q + 150. Find out where the…

A: Given Average Cost :- FQ=0.2Q2-7Q+150

Q: Find fogo h. Chec fogoh = f(x) = 9x - 2 g(x) = sin x h(x) = x²

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. A curve is defined by f(x) = a√√x+b, where a and b are constants. the point (4, 6), determine the…

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Q: If f(x)=x²+2x-4, find f(x+1) and f(√2)

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Q: Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it…

A: We have to tell true or false Answer (1)

Q: Please solve a. When tangent line is f(x)=x^3+4x and slope =-1, it is passing through point (2, a).…

A: Given tangent line is .... f(X)= X3 +4X       and slope = -1  f1(x) = ddxx3+4x         = 3x2+4 M =…

Q: The root of e^x-2 is known to exist in (0,2). Find an approximate value of the root within a…

A: The given function is fx=ex-2 which has a root in the interval 0,  2.

Q: Find the gradient off and then evaluate the gradient at the point P. a. f(x, y) = x/y, P = (2, 1).…

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Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

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Q: Find f'(a) at the given number a f(x) = (x2)/(x + 6), a = 3

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Q: Solve y = (1 + y) sec (x) + tan (x)

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Q: y = sin(2x) sin(x) + cos (2x) cos (x) Answer: - sin x

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Q: Evaluate the definite integral. */4 sin(t) cos² (t) 6. dt

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Q: 1. Three vectors in space are given as = 3x + 2y + 42 K L = 2x − 3y + 2 - M = -x-4ŷ in cartesian…

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Q: 8. y e²x dx = (4 + e²x) dy.

A: Need to find out the solution of the differential equation.

Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: OV 7 The graph of a linear equation, y = f(x) is shown above. Find the interval where f(x) < 1.…

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Q: EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²- 8x +9 at the point (2, -3).…

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Q: If F(x) = 5x/(1+ x2), find F'(2) and use it to find an equation of the tangent line to the curve y =…

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Q: A. A. Find if x = 2t4 - 4t² and y = t4 - 4t. dx t²-t+1 2t(t+1) B. t² +t+1 2t(t+1) Find f'(t) if f(t)…

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Q: The distance (in feet) of an object from a point is given by s(t)=−5t^2+1where t is in seconds.…

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