Q3: Let L be the line passing the points A(1,-1, 2) and B(2, 0,-2) and let the point D be the point on the line L and has the minimum distance with the point C(4, 2, 8). Find the equation of the plane M that passes through D such that L is normal to M.

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: We need to find Area.

Q: DUE NOW. Please answer the "script" part as the same as the process on what is on the…

A: Please see the below picture for detailed solution.

Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23, 0.2…

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Q: The given vectors form a basis for a subspace W of R³. Apply the Gram-Schmidt Process to obtain an…

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Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Answer the following questions…

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Q: 1. Let f(x) = |x-1|-3. (a) Sketch f(x) for x > 0 and label where f crosses the x-axis. (b) Find a…

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Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…

A: The given function is: f(x)=16-x2 , g(x)=x+3

Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

Q: In how many ways can we select 6 people out of 12, of which a particular person is not included? O…

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Q: Find the following limits proving whether they exist or do not exist 5y¹ cos²x x² + y² C) D) lim…

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Q: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

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Q: Create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: We need to create a piecewise function showing the rate of money f(x) that must be paid by a…

Q: 1. 2. 3. The domain of f(x)=is ........ The distance between the line 3x + 4y = 2 and (1,1) is The…

A: 1. The given function fx=1x 2. The distance between the line 3x+4y=2 and the point 1,1 3. The given…

Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. mean = 3; st. dev. = 1.414 O b.…

A: Let's find means and standard deviations.

Q: If y = u5/2, u = 7x8 + 3x², find dy/dx

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Q: 3. Consider f(x) = Inx and g(x)= ex. Determine (fog)(x) and (gof) Simplify your answer. a) (fog)(x)…

A: Topic:- function

Q: In how many ways can we of 12, of which a particula included? a. 904

A: Topic:- permutation and combinations

Q: 1 Express the following functions in the form utiv • f(Z) = ln (1+z)

A: This is a problem related to complex number. Please follow the procedure given below.

Q: The graph is a transformation of one of the basic functions. Find the equation that defines the…

A: We can find the answer as below.

Q: 3. Consider the initial value problem (IVP): ty' — y = t²e-t, y(1) = −1. (a) Use integrating factor…

A: We will use integrating factor method to solve this.

Q: 380. lim (x + 1) ¹/x x → 0

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Q: For the following integral: f3ae-2 dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration by parts method so…

Q: If P(A|B) = ½‚P(A|B') = 3, and P(B) = find P(A'). 10

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Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

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Q: Hi, I realized I asked this question previously but I got a different answer (0, 18 Pi). Which…

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Q: 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; 0≤x≤3 b. y=3x²-3;…

A: Topic:- application of integration     Note :- as per our guideline if more than three subparts…

Q: 1337 (2) =?

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Q: Sketched below are the graphs of f(x)=x²-1 and g(x)=x+1., The graph of fintersects the x- axis at A…

A: Given data:- The given equation, f(x)=x2-1g(x)=x+1

Q: (b) (c) Find the direction (a unit vector) in which f increases the fastest at (1, m, 0). Find the…

A: (b) We have to find the direction in which f increases the fastest at (1, π, 0), where…

Q: Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in…

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Q: 3300t The system of the population of a culture of tumor cells is given by p(t) = t+1 Select the…

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Q: eliminate arbitrary constants 3x³ + y² = cy ✓.

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Q: • fcot ¹ 2 Start with the highest power. Write 11 x dx as a sum or difference of integrals of odd…

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

Q: Values of f(x) at selected values of x are shown in the table. X -2.75 -2.1 -2.01 -1.99 -1.9 -1.25…

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Q: 5. Suppose fand g are continuous functions and that: f(x)dx=-4, f(x) f(x)dx=6 and 8(x)dx=8 use the…

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Q: DIGITSL FORMAT wing double integrals and draw th xdy

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Q: Graph the system of linear equations. 0.04x -0.03y = 0.05 0.05x + 0.02y = 0.12 -10 -10 -5 -3 -10 y…

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Q: B (7/12, -√2) D(3cos 8, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

A: We have to find the maximum area of quadrilateral.

Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

Q: Find the sum of the following geometric series: 3 Σ an=64n

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Q: a tractor is purchased by a local farmer for $ 12,000 and straight - line depreciates to $ 0 in 20…

A: Given 1. Purchase price of tractor =$12,000 2. Depreciates to $0 in 20 years

Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: The relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in feet…

A: Given the relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in…

Q: If the coordinates of any two points ₁ and ₂ are (x₁, y₁) and (x2, ₂), respectively, then prove that…

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Q: please find the area of a triangle,given the points A, B, and C Plot the points A= (0,2,6), B=…

A: Topic = Vector

Q: .. Find the constants a and b, such that the function is continuous on the entire number li 2, x≤ -1…

A: Topic:- calculus

Q: sin 3x x-0 tan 4x 3. lim

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