Find the line of intersection of the planes 2x – y + z = 2 and x + 2y – 4z = 1

Q: if x -1 f(x) f(x) -2 -0.5 -0.1 0.01 -1.5 -0.666667 -0.5 0.25 -1.03 -0.970874 -0.85 0.7225 -1.003 -0...

A: Given question:- C.) What is the limit of function.

Q: Convert the polar coordinates below to Cartesian coordinates. Give exact answers. A. If (r, 0) = (5,...

A: Cartesian coordinates of the above polar coordinates are

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: Find and classify all critical points of the function f (x, y) = x* + y* - xy. 4(0) = 4 (010) D= 12(...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: - --- Let B = Is Ba basis ofR ? Justify and x = %3D 2 3 3 your answer. If yes, compute xR [x]

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Q: Describe how the graph of the function can be obtained from one of the basic graphs. f(x) = 4/x - 1 ...

A: Given query is to find find transformation applied to get the graph f(x) from h(x).

Q: The temperature, in degrees Celsius, at a point (x,y) on a metal plate is given by T(x,y) = 20-4x^2 ...

A: Given Temperature on a metal plate at point (x,y)T(x,y)=20-4x2-y2

Q: Draw a direction field for the given differential equation. Based on the direction field, determine ...

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Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) = ...

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Q: Which of the following has an inflection point? O y=2x-1 y%3Dx y=x3 y3(x-1,6

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Q: Use the Integral Test to determine whether the infinite series EL is convergent. (Use symbolic notat...

A: Here, the given series is: ∑n=1∞19n2+1 Using the Integral Test, to determine the series is convergen...

Q: Consider the function f(x) = 2/x + 4 on the interval 3, 10. Find the average or mean slope of the fu...

A: The function is given by fx = 2x+4 The interval is a, b = 3, 10 Mean Value Theorem: f'c = fb-fab-a =...

Q: Find the equation of the line tangent to the graph of f(x) = (In x)° at x= 4. ... y% = (Type your an...

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Q: Differentiate. y = In (5x-9x+1) (5x² - 9x + 1) y' = 1

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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 the integral. dx (x – 10)(x – 15) Use symbolic notation and fractions where needed. Use C f...

A: Here we have to evaluate I=∫dxx-10x-15  

Q: 4 sin320 cos20 d0

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Q: -. Solve the differential equation: (D – 3) (D² + 3D + 2) = 0, where D is the differential operator ...

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Q: аx2а (х2а +1)* ӑх > [7] S

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Q: 1. Is the following expression a scalar, vector or meaningless? lä|ab

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+12 Σ 00...

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Q: Let f (x) and g (x) be antiderivative of h (x), The which of the following is true? A None of the gi...

A: Application of derivative

Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D %3! Xa Xa lim p(x) = 0 lim q(x) = 0, %3D Xa Xa...

A: We have to solve the limits.

Q: -x' +2 Find the slope of the secant line between x = -3 andx = 3 for the function f(x) = (Enter your...

A: Explanation of the answer is as follows

Q: Question 8 Evaluate dx A © VF-Vi+c

A: Given :∫3x2-2xdx

Q: Evaluate lim -2x csc (-5x). Submit an exact answer.

A: We can find the limit as below

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: The demand for a new computer game can be modeled by p(x) = 60-8 In x, for 0sxs800, where p(x) is th...

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Q: Find the solution of the given initial value problem. cos t y + y(m) = 0, t>0 y(t) =

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Q: а. lim,(3r — 5) T-1 22 – 9 b. lim THe x2 – 4xr+3 where c= 0,1,2 22 – 9 C. lim 1→3 x2 – 4+3

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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: Find the direction cosines of the vector v = (2, –4, 4) %3D

A: The given vector v→=2,-4,4

Q: * sin²(x) + sin(x) cos²(x) To evaluate the -dx using basic formula of integration (without using sub...

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Q: Evaluate the definite integral. 13 dx 3 (1 + 2x)2

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Q: dy = ay + b whose dt Write down a differential equation of the form 3 as t → o. 4 solutions all appr...

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Q: Management at a factory has found that the maximum number of units a worker can produce in a week is...

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Q: Determine the coefficient of Cot(x) when we evaluate J[cot(x) – csc(x)]²dx_ 1 A 2 1 В c) None of the...

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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: S sec*x csc*x dx

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Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. - -

A: Graphically: Now, the area can be found as the following.                 ∫-333-x2-6dx=∫-33-x2+9dx...

Q: Prove that ∀n ∈ Z, gcd(7n + 1, 15n + 2) = 1.

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Q: Solve the given differential equation. All solutions should be found. dy x6 – 4y - dx NOTE: Use c fo...

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Q: dz 5 – 2x cos 2x dx 1 + sin 2x sec² 0 de. tan 0

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Q: Ve dx

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

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Q: 4.Find the volume of solid generated by revolving the Vosl regions bounded by the curve y = cos(-)y,...

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Q: Given that f(x) = 4x+1 and h(x) = x°, find (h o f)(2).

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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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